The function that correctly represents the pattern in the given table is y = 2x + 1, which means that, for each input X, you multiply by 2 and then add 1 to obtain output Y.
Explanation:The table of values given indicates a linear relationship between X and Y. If we look closely, we can see that for every unit increase in X, Y increases by 2 units. This pattern indicates that the function is characterized by the equation y = 2x + 1.
So, the correct answer is C) y = 2x + 1. This means that Y is twice the value of X plus 1. In simpler terms, we multiply the input variable (X) by 2 and then add 1 to determine the output (Y).
None of the other given function expressions correctly describe the pattern observed in the table.
Learn more about Linear Function here:https://brainly.com/question/29205018
#SPJ12
The expression for the function is y=2x. Y is double x.
Explanation:The function that relates the values of X and Y in the given table is y = 2x. This means that the value of Y is twice the value of X. For example, when X=3, Y=6 because 2*3=6. This pattern holds true for all the other values in the table.
Option A) y= 2x is the correct expression for this function as it shows that Y is double X. Therefore, the answer to this question is A) y= 2x. Y is double x.
Learn more about Function relation here:https://brainly.com/question/2253924
#SPJ12
What are the measures of the two angles in the figure? A. 125° and 55° B. 120° and 60° C. 100° and 80° D. 92° and 88°
Step-by-step explanation:
Know that the sum of angle A & B equal 180°In order to find the measures you must find X. Plug X's value into the equations for angle A and Bboth should equal 180°Answer:
Step-by-step explanation: You would do 5x+20+x+40=180
Then you would add 5x and x together and you would also add 20 and 40 together and then you get: 6x+60=180
You would then subtract 180-60 and then you should get 6x=120 and the you would divide from both sides and you should get x=20 you would then plug it into both angles So 5(20)+20 and you should get 120 for the left angle and then you would do the next angle which would be 20+40=60 for the right angle
Short version:
5x+20+x+40=180
6x+60=180
6x=120
X=20
Solve the equation for x.
8(4x + 8) = 160
A) 3
B) 7
C) 12
D) 14
Answer:
Step-by-step explanation:
8(4x + 8) = 160.....distribute the 8 thru the parenthesis
8(4x) + 8(8) = 160
32x + 64 = 160....subtract 64 from both sides
32x + 64- 64 = 160 - 64
32x = 96
x = 96/32
x = 3 <===
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
Area of the doghouse =- 32.5 sq. ft
Solution:
Given height = 5 ft, base1, [tex]b_1[/tex] = 5ft
Base2, [tex]b_2[/tex] = [tex]b_1+3=5+3=8[/tex] ft
Area of the trapezoid = [tex]\frac{1}{2}\times height\times (base1 +base2)[/tex]
[tex]=\frac{1}{2}\times 5\times (5+8)[/tex]
[tex]=\frac{1}{2}\times 5\times 13[/tex]
[tex]=\frac{1}{2}\times 65[/tex]
[tex]=32.5[/tex] sq. ft
Area of the trapezoid = 32.5 sq.ft
Hence the area of the doghouse is 32.5 sq. ft.
An auto repair shop charged a customer $280 to repair a car. The bill listed $80 for parts the remainder for labor. If the cost of labor is $50 per hour, how many hours of labor did it take to repair the car?
Mr. Phillips is mixing paint for his art
class. How many 6-ounce bottles can
he fill with the quantities of paint shown
at the right? Explain.
Answer:
the question lacks the full information and is incomplete.
Step-by-step explanation:
2x-y=-1 in slope intercept form
Answer:
y = 2x + 1Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation of a line in a standard form.
Convert to the slope-intercept form:
[tex]2x-y=-1[/tex] add y to both sides
[tex]2x-y+y=-1+y[/tex]
[tex]2x=-1+y[/tex] add 1 to both sides
[tex]2x+1=-1+1+y[/tex]
[tex]2x+1=y\to y=2x+1[/tex]
The slope intercept form of the given equation is y = 2x+1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
(ii) 3x + 5 = 15
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, an equation of a line, 2x-y = -1, we need to convert this into slope intercept form,
The standard form of the equation of a line in slope intercept form, is given by :
y = mx+c
Where, m = slope of the line, c is the y-intercept,
So, the given equation is 2x-y = -1,
Add y both the side,
2x-y+y = -1+y
2x = -1+y
Add 1 in both sides,
2x+1 = y+1-1
y = 2x+1
Hence, the slope intercept form of the given equation is y = 2x+1
Learn more about equations, click;
https://brainly.com/question/29657992
#SPJ2
What is the value of x? Enter your answer, as a decimal, in the box. x= A right triangle with vertices labeled as A, B, and C. Side C B is the base and the top vertex is A. Side A B contains a midpoint D. A line segment drawn from C to D bisects angle A C B into two parts labeled as A C D and B C D. Angles A C D and B C D are marked with single arc. Side A C is labeled as 5. Base C B is labeled as 6. Segment A D is labeled as x. Segment B D is labeled as 4.2.
Answer:
The correct answer is indeed 3.5 :)
Step-by-step explanation:
just took the test <3 hopes this help
The value of x is 3.5.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Right triangle with vertices labeled as A, B, and C.
Side C B is the base and the top vertex is A.
Side A B contains a midpoint D.
A line segment drawn from C to D bisects angle A C B into two parts labeled as A C D and B C D.
Side A C= 5.
Base C B = 6.
Line Segment A D = x.
Segment B D=4.2.
4.2/6=x/5
Apply cross multiplication
4.2×5=6x
21=6x
Divide both sides by 6
x=3.5
Hence, the value of x is 3.5.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ6
Please answer asap! will mark brainliest!
Describe the solution of f(x) shown in the graph
a parabola opening up passing through 0 comma 2, 1 comma zero and 2 comma zero
All real solutions is the answer
-99 less than a number
Answer:
-99 is less than -98
-99 is less than -97
-99 is less than -96
.
.
.
-99 is less than -1
-99 is less than 0
-99 is less than (any posifive number)
a number c increased 6 by is less than or equal to -26
Answer:
[tex]c\leq -32[/tex]
Step-by-step explanation:
Let
c ---> the number
we know that
The number c plus 6 must be less than or equal to -26
so
The inequality that represent this situation is
[tex]c+6\leq -26[/tex]
Solve for c
Subtract 6 both sides
[tex]c\leq -26-6[/tex]
[tex]c\leq -32[/tex]
The solution for c is the interval (-∞,-32]
All real numbers less than or equal to -32
In a number line, the solution is the shaded area at left of c=-32 (closed circle)
see the attached figure to better understand the problem
vimesha drove 232 miles in 4 hours. at this rate, how far could she drive in 7 hours? what is her rate of speed in miles per hour?
Answer: distance = 406 miles
speed = 58 miles/hr
Step-by-step explanation:
4 hours - 232 miles
1 hr - 232/4
7 hours - 232/ 4 x 7 = 406 miles
Therefore , her distance is 406 miles for 7 hours.
Speed = distance / time
speed = 406/7 = 58 miles/hr
In the function f(x) = 6x + b, what must be the value of b, if f(5) = 1?
=============================================
Work Shown:
f(x) = 6x + b
f(5) = 6(5) + b .... replace every x with 5
f(5) = 30 + b
1 = 30 + b ..... replace f(5) with 1, since f(5) = 1 was given.
1-30 = 30 + b - 30 .... subtract 30 from both sides
-29 = b
b = -29
-----------
The function f(x) = 6x+b turns into f(x) = 6x+(-29) which is equivalent to f(x) = 6x-29
Plugging in x = 5 leads to
f(x) = 6x-29
f(5) = 6(5) - 29
f(5) = 30 - 29
f(5) = 1
So we have confirmed the answer.
Answer:
Step-by-step explanation:
f(5) = 1
6*5 + b = 1
30 + b = 1
b = 1 - 30 = -29
b = -29
Excellent! Move on to the 7th (or 8th if you count 0)
Fibonacci number.
Answer:
The answer is 13 if you count 0.
Step-by-step explanation:
The sequence is as follows:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…
Also, have a great day and Happy Valentines! <3
Write an inequality for x that would give this rectangle a perimeter of at least 300ft
Answer:
[tex] x\geqslant 300[/tex]
x is greater then or equal to 300
Liz earns a salary of $2,200 per month, plus a commission of 3% of her sales. She wants to earn at least $2,800 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answer:
The amount of sales in order to meet her goal must be greater than or equal to $20,000
Step-by-step explanation:
Let
x----> represent the amount of sales Liz will need
we know that
The amount of sales for the month multiplied by the commission rate as a decimal plus the fixed amount must be greater than or equal to $2,800 each month
so
The inequality that represent this situation is
[tex]0.03x+2,200\geq 2,800[/tex]
solve for x
subtract 2,200 both sides
[tex]0.03x \geq 2,800-2,200[/tex]
[tex]0.03x \geq 600[/tex]
divide by 0.03 both sides
[tex]x \geq \$20,000[/tex]
The amount of sales in order to meet her goal must be greater than or equal to $20,000
Which inequality is true?
A number line going from negative 1 to 1.
One-half less-than one-third
Three-fourths greater-than two-thirds
Negative one-fourth less-than negative two-thirds
Negative 1 greater-than three-fourths
Option C: Three-fourths greater-than two-thirds
Solution:
Option A: A number line going from negative 1 to 1.
Explanation: A number line is used to define a point in a given interval. And hence, a number line does not goes from negative 1 to 1.
Thus, this statement is false.
Option B: One-half less-than one-third
Explanation: The statement can be written as
[tex]\begin{array}{c}{\frac{1}{5}<\frac{1}{3}} \\{0.5<0.33}\end{array}[/tex]
which is not possible.
Hence, this inequality is false.
Option C: Three-fourths greater-than two-thirds
Explanation: The statement can be written as
[tex]\begin{array}{c}{\frac{3}{4}>\frac{2}{3}} \\{0.75>0.667}\end{array}[/tex]
which is true.
Hence, this inequality is true.
Option D: Negative one-fourth less-than negative two-thirds
Explanation: The statement can be written as
[tex]\begin{aligned}-\frac{1}{4} &<-\frac{2}{3} \\-0.25 &<-0.667\end{aligned}[/tex]
This is not possible.
Hence, this inequality is false.
Option E: Negative 1 greater-than three-fourths
Explanation: The statement can be written as
[tex]\begin{array}{l}{-1>\frac{3}{4}} \\{-1>0.75}\end{array}[/tex]
This is not possible.
Hence, this inequality is false.
Answer:
the person who answered this question is actually correct she just put option c when its actually option d people make mistakes its okay thats how u learn
Step-by-step explanation:
I am really confused on this. It says find the value of x in each triangle.
A box of granola bars has a volume of 210 cubic centimeters. What could be the dimensions of the box?
Answer:
Few of the following CASES can be the solutions:
1. (7 cm , 3 cm, 10 cm) 2.(14 cm , 3 cm, 5 cm)
3.(35 cm , 3 cm, 2 cm) 4.(7 cm , 6 cm, 5 cm)
5.(7 cm , 15 cm, 2 cm)
Step-by-step explanation:
Here, the volume of the box of granola bars = 210 cubic cm.
Let us assume the length of the box = l
The width of the box = w
and The height of the box = h
Also, the box is in shape of a cuboid.
VOLUME OF A CUBOID = Length x Width x Height
⇒l x b x h = 210 .... (1)
Now, we need to find such combinations of (l,b,h) such that their product is 210 cubic centimeters.
There are many number of possible such combinations.
Few of the following CASES can be the solutions:
1. (7 cm , 3 cm, 10 cm)
2.(14 cm , 3 cm, 5 cm)
3.(35 cm , 3 cm, 2 cm)
4.(7 cm , 6 cm, 5 cm)
5.(7 cm , 15 cm, 2 cm)
There can be any other possible such solution as well.
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 5% syrup?
4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.
Solution:
Let us assume that x is the required pounds sugar to make 5% syrup
[tex]\Rightarrow\frac{x}{\text{total quantity}}=5\%[/tex]
which is [tex]\frac{x}{5}=5\%[/tex]
On solving we get,
[tex]\Rightarrow\frac{x}{5} =0.05 [5\%=\frac{5}{100}][/tex]
[tex]\Rightarrow x = 5\times0.05\rightarrow x=0.25[/tex]
If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,
[tex]5 \text{ lbs }-0.25 \text{ lbs }=4.75 \text{ lbs }[/tex]
So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.
Answer:
4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.
Solution:
Let us assume that x is the required pounds sugar to make 5% syrup
which is
On solving we get,
If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,
So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.
Step-by-step explanation:
When multiplying the fractions 1/6 and 7/8 what is the product of the numerators?
Answer:
Step-by-step explanation:
1 7 7 <== numerator
-------- X ------ = --------
6 8 48 <== denominator
" the product " is the result of multiplying
so the product of the numerators is 7
The product of the numerators is 7.
What is Fraction?All fragments correspond of a numerator and a denominator and they're separated by a vertical bar known as the fractional bar.
The denominator indicates the number of corridor in which the total has been divided into. It's placed in the lower part of the bit below the fractional bar.The numerator indicates how numerous sections of the bit are represented or named. It's placed in the upper part of the bit above the fractional bar.Given:
We have have to multiply the fraction 1/6 to 7/8.
First, the product of Numerator
1 x 7 = 7
and, product of Denominator
6 x 8 = 48
Thus, the product of the numerators is 7.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ2
In 15 and 16, use the expression 1 + z/3 + 2w
15) Which part of the expression is a quotient? DESCRIBE its parts.
16) Which part of the expression is a product of two factors? DESCRIBE its parts.
We want to analyze the terms of the given expression.
15) second term, z/3
16) third term, 2*w
The given expression is:
1 + z/3 + 2*w
15) We want to find which part of the expression is a quotient.
A general quotient is something of the form a/b, so compared with the expression, the term that is a quotient is the second term; z/3.
Where the first number, z, is called the numerator and the second is called the denominator.
Notice that the variable z is on the numerator, so this would be a linear dependence with z.
16) We want to find which part of the expression is a product of two factors.
It is the third term, 2*w
Where the two factors are 2 and w.
Again, the variable si w, and we are multiplying it by a constant number, 2.
So we also have a linear dependence with w.
If you want to learn more, you can read:
https://brainly.com/question/7510157
In the expression 1 + z/3 + 2w, the quotient is z/3, where z is the numerator and 3 is the denominator. The product of two factors is 2w, with 2 and w being the factors.
Explanation:The student asked about parts of the expression 1 + z/3 + 2w.
15) Quotient in the Expression
The quotient refers to the result of division. In the expression given, the quotient is z/3. Its parts are the numerator z, which is the value being divided, and the denominator 3, which is the value by which z is divided.
16) Product of Two Factors in the Expression
The product refers to the result of multiplication. In the expression, the product is 2w. Its parts are the two factors being multiplied: the constant 2 and the variable w.
HELP FAST!!! Which angles could form an obtuse triangle? A. 62°, 39°, 79° B. 46°, 92°, 42° C. 40°, 40°, 100° D. 22°, 78°, 80°
Answer:
A. is Obtuse scalene triangle.
Step-by-step explanation:
Hope this help
Answer:
c i think
Step-by-step explanation:
I NEED HELP ASAP. PLZ HELP
Answer:
Y=x+1...written on the line between c and b
Step-by-step explanation:
CB is perpendicular to EF.
The slope is 1, the y intercept is 1
Therefore. Y =mx+B is y=1x+1
At a sale on winter clothing Cody brought two pairs of gloves and four hats for $43.00 tori bought two pairs of gloves and two hats for 30.00.find the prices of the hats and gloves
Answer:
Cost of one glove pair is $ 8.50 and the cost of one hat is $6.50
Step-by-step explanation:
Let g represents the cost of one gloves pair
h represents the cost of one hat
Then
Cody brought two pairs of gloves and four hats for $43.00
This can be written as
2g + 4h = 43-------------------(1)
Tori bought two pairs of gloves and two hats for 30.00
This can be written as
2g + 2h = 30------------------(2)
Subtracting (2) from (1)
2g + 4h = 43
2g + 2h = 30
(-)
--------------------------
0g + 2h = 13
------------------------------------
2h =13
h = 13 / 2
h = 6.5---------------------(3)
Substituting (3) in (2)
2g + 2(6.5) = 30
2g + 13 = 30
2g = 17
g = 17 / 2
g = 8.5
So one hat is $6.50 and one pair of gloves is $8.50.
6 x 4237 solve using distributive property
Answer: 25422
Step-by-step explanation:
6(4000+237)
6(4000) + 6(237)
24000 + 1422
24000+1422=25422
Answer:
6·4237 = 25422
Step-by-step explanation:
This is the way multiplication by hand is usually done.
6(4237) = 6(4000 +200 +30 +7) = 6·4000 +6·200 +6·30 +6·7
= 24000 +1200 +180 +42
= 25200 +222 . . . . . add first two terms and last two terms
= 25422
The radius of a circle is 4 millimeters. What is the circle's circumference?
Will give brainiest
Answer:25.12
Step-by-step explanation:
3x + 7y = -5
8x + 9y = 6
The question involves solving simultaneous linear equations, a high school level topic in mathematics. Methods like substitution or elimination can be used to find the values of the variables.
The student's question involves solving simultaneous linear equations, which is a topic in mathematics. To solve the given system of equations, one can use methods such as substitution, elimination, or matrix operations like determinants. The elimination method can be particularly efficient. For example, you can multiply the first equation by a number that will allow the x or y terms to cancel out when added or subtracted from the second equation. After simplifying, you're left with one equation in one unknown, which can be easily solved. Then, back-substitute the known value into one of the original equations to solve for the other variable.
Given the equations 3x + 7y = -5 and 8x + 9y = 6, we may choose to multiply the first equation by 3 and the second by 7 (to eliminate the x terms) or to multiply the first equation by 8 and the second by 3 (to eliminate the y terms). Once one variable is eliminated, we solve for the other and use it to find the value of the remaining variable.
How many solutions in the equation y=x-3 and 4x-10y=6
Answer:
1
Step-by-step explanation:
These are two lines with different slopes and y intercepts so they will intersect once
Final answer:
Explaining how to find the number of solutions in a system of linear equations.
Explanation:
The given equations are:
y = x - 3
4x - 10y = 6
To find the number of solutions, we can solve these equations simultaneously.
Substitute y = x - 3 into the second equation and solve for x to find the value of y. If the solution leads to a valid pair of x and y that satisfies both equations, then there is one unique solution, otherwise there are no solutions.
PLEASE HELP
Solve 2^(x − 1) = 11 for x using the change of base formula log base b of y equals log y over log b.
A) −0.711
B) 1.289
C) 2.459
D) 4.459
Solved given expression for x using the change of base formula log base b of y equals log y over log b is 4.459
Answer: Option D
Step-by-step explanation:
Given Expression:
[tex]2^{x-1}=11[/tex]
To solve this, first convert the exponential form into log form
If [tex]a^{x}=b[/tex] then [tex]\log _{a}(b)=x[/tex]
So, when comparing the given expression with above, a = 2, x = x – 1 and b = 11 .
[tex]2^{x-1}=11[/tex] become [tex]\log _{2}(11)=x-1[/tex]
Now, apply change of base formula to remove base 3
[tex]\log _{a}(y)=\frac{\log y}{\log a}[/tex]
Hence,
[tex]\log _{2}(11)=\frac{\log 11}{\log 2}[/tex]
Substitute [tex]\log _{2}(11)=x-1[/tex] in above expression, we get
[tex]\frac{\log 11}{\log 2}=x-1[/tex]
[tex]\frac{1.0414}{0.301}=x-1[/tex]
x – 1 = 3.459
x = 3.459 + 1 = 4.459
Final answer:
To solve the equation 2^(x - 1) = 11 for x, one can use the change of base formula by taking the logarithm of both sides, rewriting the equation using logarithm properties, isolating x, and then simply calculating using a calculator, which results in x ≈ 1.289.
Explanation:
To solve 2(x − 1) = 11 for x using the change of base formula, take the logarithm of both sides of the equation and use the formula logb(y) = log(y) / log(b), where y is the number we want to take the logarithm of and b is the base of the logarithm.
Let's start the process:
Apply logarithm to both sides of the equation: log(2(x - 1)) = log(11).By using logarithm properties, we know that log(ba) = a log(b), so we can rewrite the equation as (x - 1)log(2) = log(11).To isolate x, first, divide both sides by log(2), which gives us x - 1 = log(11) / log(2).Add 1 to both sides of the equation to solve for x, resulting in x = (log(11) / log(2)) + 1.Now, calculate the right side of the equation using a calculator:
x = (log(11) / log(2)) + 1 => x ≈ 1.289Hence, the correct answer is B) 1.289.
Ashley is taking a road trip from California to Washington. Every 4 hours, she travels between 204 and 272 miles. Twelve hours ago, Ashley had traveled 118 miles from her starting point in California. Which is a reasonable measure of Ashley's distance from her starting point in California now? A. 238 miles B. 596 miles C. 832 miles D. 356 miles
Answer:
Option C. 832 miles
Step-by-step explanation:
Ashley travels between 204 and 272 miles in every 4 hours.
That means she travels between 51 [tex](\frac{204}{4}miles)[/tex] and 68 ([tex]\frac{272}{4}miles)[/tex] per hour.
Therefore, in 12 hours she will travel between 612 (51×12 miles) miles and 816 (68×12 miles).
Since she has already traveled 118 miles before 12 hours then the distance traveled by her till now will be between 730 (612+118 miles) and 934 (816+118 miles).
From the given options, Option C. 832 miles is the reasonable measure of Ashley's distance from the starting point.