Answer:
D. (0,5)
Step-by-step explanation:
Any points on the dashed line is not a solution. In this case, any points in the shade or above the dashed line is a solution.
For this case we must locate each of the points in the graph and see if they are in the region.
The border of the region is dotted, therefore equality is not included. That is, the points (-3,1) and (3,3) do not belong to the region.
On the other hand, we observe that the point (0,0) does not enter the region either.
Finally, it is observed that the point (0,5) if it is located within the region.
Answer:
(0,5)
Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework? (x + 30 + 60) = x (x) = x(30 + 60) x(30 + 60) = x (x) = (30 + 60)
Answer:
x(x)=1/4(30+60+x)
Step-by-step explanation:
minutes spent on math homework= x
minutes spent on history homework= 30 min
minutes spent on English homework= 60 min
Total minutes spent on homework = x+30 +60
Also
x= 1/4(x+30 +60)
x= x/4 + 90/4
x-x/4= 90/4
(4x-x)/4=90/4
3x=90
x=30
Hence time spent on maths=30 min
total time spent= 30+60+30
= 120 min
1/4 of 120 min= 30 mins!
Answer:
A. 1/4(x + 30 + 60) = x
Step-by-step explanation:
Write the expression as a single logarithm PLEASE
(log3-log4)-log2
[tex]\bf \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\[1em] [\log(3)-\log(4)]-\log(2)\implies \log\left( \cfrac{3}{4} \right)-\log(2)\implies \log\left( \cfrac{\frac{3}{4}}{~~2~~} \right) \\\\\\ \log\left( \cfrac{\frac{3}{4}}{~~\frac{2}{1}~~} \right)\implies \log\left( \cfrac{3}{4}\cdot \cfrac{1}{2} \right)\implies \log\left( \cfrac{3}{8} \right)[/tex]
To write the expression as a single logarithm, we'll use the properties of logarithms to combine them. The given expression is:
(log3 - log4) - log2
We start by combining the first two logarithms inside the parenthesis using the difference of logarithms property:
log(a) - log(b) = log(a/b)
Applying this property to (log3 - log4), we get:
log(3/4)
Now, our expression looks like this:
log(3/4) - log2
We can use the same property to combine this with the remaining logarithm:
log(a) - log(b) = log(a/b)
So we apply it with a = 3/4 and b = 2:
log((3/4)/2)
When dividing by 2, we are effectively multiplying by 1/2, so we have:
log(3/4 * 1/2)
Now we perform the multiplication inside the logarithm:
log(3/8)
And that is the expression written as a single logarithm:
log(3/8)
The value of x ?
A)3
B)27
C)54
D)6
Answer:
A) 3Step-by-step explanation:
We know that the diagonals of the parallelogram intersect in half.
Therefore we hawe the equation:
x - 30 = -9 - 6x add 30 to both sides
x = 21 - 6x add 6x to both sides
7x = 21 divide both sides by 7
x = 3
X=3 hope this helps sorry if I’m wrong
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5
Answer:
6x+2y=12
and
3y=9x
Jamie needs a bin for her school
supplies. A blue bin has a length of
(12 inches, a width of 5 inches, and a
height of 4 inches. A green bin has a
length of 10 inches, a width of 6 inches,
and a height of 5 inches. What is the
volume of the bin with the greatest
volume?
Please help me :<
Answer:
the answer is the green bin
Step-by-step explanation:
12•5•4 is 240
10•6•5 is 300
so, the answer is the green bin
hope this helps!
have a blessed day!
please give brainliest!
An angle in standard position measures -7x/6 radians. In which quadrant does the terminal side of this angle lie
The terminal side of an angle measuring -7x/6 radians lies in the second quadrant, considering the angle implies a clockwise rotation from the positive x-axis and one complete rotation is 2π radians.
One complete revolution is equal to 2π radians, which is approximately 6.28 radians. Negative angles imply a clockwise rotation from the positive x-axis. The given angle, -7x/6 radians, would place the terminal side in a clockwise rotation from the positive x-axis.
Angles that measure between 0 to -π/2 radians lie in the fourth quadrant, while angles between -π/2 to -π radians lie in the third quadrant, angles between -π to -3π/2 radians lie in the second quadrant, and angles between -3π/2 to -2π radians lie in the first quadrant.
Assuming the variable x represents any positive real number, the angle -7x/6 would likely be between -π and -3π/2 (or -1.57 and -4.71), and therefore, the terminal side of this angle would lie in the second quadrant.
What is the axis of symmetry for the graph of y - 4x = 7 – x2?
O x= 2
Oy=2
O x= 11
Oy= 11
Answer:
x = 2 is the axis of symmetry
Step-by-step explanation:
y - 4x = 7 – x2?
y = -x²+4x +7
y = - ((x²- 4x+4)-4)+7
y = - (x-2)²+11 ..... is the the parabola's equation when : x = 2 is the axis of symmetry
The axis of symmetry for the graph of y - 4x = 7 – x² is x= 2.
What is axis of Symmetry?The axis of symmetry is a hypothetical straight line that divides a shape into two identical sections, resulting in one component being the mirror image of the other. When folded along the axis of the symmetry, the two portions get overlaid. The straight line is also known as the line of symmetry/mirror line.
The axis of symmetry is a straight line that makes an object's shape symmetrical. The axis of symmetry produces identical reflections on all four sides. It might be horizontal, vertical, or lateral in orientation.
We have the Equation:
y - 4x = 7 – x²
Now, arranging the equation as
y = -x²+4x +7
y = - ((x²- 4x+4)-4)+7
Now, using the algebraic Identity
(a -b)² = a² - 2ab + b²
So, the equation can be written as
y = - (x-2)²+11
This is in the parabola's equation.
Thus, the axis of symmetry is x= 2.
Learn more about Axis of Symmetry here:
https://brainly.com/question/22495480
#SPJ7
Which of the following describes the graph of {x | x < = 1} u {x | x > = 4}?
a. closed circles on 1 and 4 with a line segment between
b. closed circles on 1 and 4 with arrows pointing outward
c. the entire number line
d. no solution
Answer:
b. closed circles on 1 and 4 with arrows pointing outward
Step-by-step explanation:
Which of the following describes the graph of {x | x < = 1} u {x | x > = 4},
We have been given the following set;
x < = 1
This set comprises of real numbers that are less than or equal to 1;
(1, 0, -1, -2, -3, -4, .......... -∞)
On the other hand, the set x > = 4 comprises of real numbers that are greater than or equal to 4;
(4, 5, 6, 7, 8, 9, ........∞)
The symbol ∪ means a union of sets. That is the set of numbers that belong in either or both sets;
{x | x < = 1} u {x | x > = 4} is same as writing;
(1, 0, -1, -2, -3, -4, .......... -∞) ∪ (4, 5, 6, 7, 8, 9, ........∞)
Therefore, the solution set will be closed circles on 1 and 4 with arrows pointing outward
Answer:
Closed circles on 1 and 4 with arrows pointing outward ⇒ answer b
Step-by-step explanation:
* Lets study the meaning of the inequality
- If a < x < b, that means the value of x is between a and b
- If a ≤ x ≤ b, that means the value of x is from a to b
- If x < a and x > b, that means the value of x is smaller than a and
grater than b
- If x ≤ a and x ≥ b, that means the value of x is smaller than or equal a and
grater than or equal b
* Now lets solve the problem
∵ {x I x ≤ 1}
∴ x is smaller than or equal 1
∵ {x I x ≥ 4}
∴ x is greater than or equal 4
∵ {x I x ≤1} ∪ {x I x ≥ 4}
- The meaning of ∪ is all numbers smaller than or equal 1 and all
the numbers greater than or equal 4
∴ {x I x ≤ 1} ∪ {x I x ≥ 4} = (-∞ , 1] ∪ [4 , ∞)
- This solution represented graphically by closed circles on 1 and
4 with arrows pointing outward
simplify the following expression:
|-4|-|+7|
Answer:
-3
Step-by-step explanation:
Expression: |-4| - |7|
1. Absolute value (positive distance from zero; found by removing negative sign unless positive): 4 - 7
2. Subtract: -3
The simplified expression is given by -3.
What is the absolute value of a number?The absolute value of a number is the positive value of that number. The number, if it is negative, will become positive and a positive number will remain positive.
We can simplify the expression as follows:It is given that the expression is: |-4|-|+7|
We can now simplify the expression.
The expression can be simplified as follows:
|-4|-|+7| = 4 - 7
= -3
The given expression was simplified.
The simplified value of the given expression |-4|-|+7| is found to be -3.
Therefore, we have found that the simplified expression is given by -3.
Learn more about absolute values here: https://brainly.com/question/1301718
#SPJ2
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas ? 16.5x= 465.3 x/16.5= 465.3 465.3x=16.5 x/465.3=16.5
Answer:
465.3 = 16.5x
Step-by-step explanation:
We can determine the miles per gallon by taking the number of miles driven and dividing by the gallons
465.3 /16.5 =x
Rewriting by multiplying each side by 16.5
465.3 = 16.5x
Answer:
A
Step-by-step explanation:
Which of the functions have a range of all real numbers? Check all that apply.
A. y = sec x
B. y = tan x
C. y = cot x
D. y = csc x
Answer:
B. y = tan x and C. y = cot x
Step-by-step explanation:
Range:
range is defined as the set of values that any given function y=f(x), can take for which the x values are defined. It is the value that y can take for the values of x.
Given:
From the given options
the range of tanx and cotx are all real numbers
as the period of tanx and cotx are π
where as range of secx is all real numbers except π/2 + n*π i.e.
(-∞ , -1] U [1 , + ∞)
And range of cscx is all real numbers except n*π i.e.
(-∞ , -1] U [1 , + ∞)
So from the given option:
option B and C are correct while A and D are not !
The answer is: The correct options are B. Tan(x) and C. Cot(x)
Why?The range is the output of a function when we evaluate the function with inputs (domain), not all functions have a range of all real numbers, however it's more common to find functions without range or domain restrictions.
Both options B. Tan(x) and C. Cot(x) have a range of all real numbers while the functions Sec(x) and Csc (x) have a restricted range.
Sec(x) and Csc(x):
Domain, all real numbers.
Range, from -1 to 1 or [-1,1]
Tan(x) and Cot(x):
Domain, all real numbers except [tex]\frac{\pi }{2}+-n\pi[/tex]
Range, all real numbers.
Hence, the correct options are B. Tan(x) and C. Cot(x)
Have a nice day!
3 coins are tossed and two six-sided dice are rolled. how many possible outcomes are there?
there are 36 possible outcomes
What are the zeros of the function? f(x)=3x^3−3x^2−6x
Answer:
-1, 0, 2Step-by-step explanation:
[tex]\text{The zeros is for}\ f(x)=0.\\\\f(x)=3x^3-3x^2-6x\\\\f(x)=0\iff3x^3-3x^2-6x=0\qquad\text{divide both sides by 3}\\\\x^3-x^2-2x=0\qquad\text{distributive}\\\\x(x^2-x-2)=0\\\\x(x^2+x-2x-2)=0\\\\x\bigg(x(x+1)-2(x+1)\bigg)=0\\\\x(x+1)(x-2)=0\\\\\text{The product is equal to 0, when one of the factors is equal to 0.}\\\text{Therefore:}[/tex]
[tex]x(x+1)(x-2)=0\iff x=0\ \vee\ x+1=0\ \vee\ x-2=0\\\\x=0\ \vee\ x=-1\ \vee\ x=2[/tex]
The perimeter of kite LMNO is 80 feet. Side MN = 3x + 5 and side NO = x – 7 . What is the length of NO?
Answer:
The length of NO is [tex]14\ ft[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
The Kite has two pairs of equal-length adjacent (next to each other) sides.
so
The perimeter is equal to
[tex]P=2[MN+NO][/tex]
[tex]P=80\ ft[/tex]
so
[tex]80=2[MN+NO][/tex]
[tex]40=[MN+NO][/tex]
substitute the values and solve for x
[tex]40=[(3x+5)+(x-7)][/tex]
[tex]40=[4x-2][/tex]
[tex]4x=42[/tex]
[tex]x=21\ ft[/tex]
step 2
Find the length of NO
[tex]NO=(21-7)=14\ ft[/tex]
What is the area of triangle PQR? Round to the nearest tenth of a square unit
Answer:
b
Step-by-step explanation:
Answer:13.5 A
Step-by-step explanation:
edge
what is this simplified?
The answer is:
The second option: 2
[tex]\sqrt[4]{81}=3[/tex]
Why?We can solve the problem and find the simplified expression using the following root property:
[tex]\sqrt[n]{x^{m} }=x^{\frac{m}{n} }[/tex]
We are given the expression:
[tex]\sqrt[4]{81}[/tex]
Which can be rewrite like this:
[tex]\sqrt[4]{81}=\sqrt[4]{3^{4}}[/tex]
Now, simplifying we have:
[tex]\sqrt[4]{3^{4}}=3^{\frac{4}{4} }=3[/tex]
Hence, the answer is the second option:
[tex]\sqrt[4]{81}=3[/tex]
Have a nice day!
Answer:
The correct answer is second option
3
Step-by-step explanation:
From the attached question we can see that,
⁴√81
To find the correct option
We know that 3⁴ = 81
⁴√81 can be written as,
⁴√81 = ⁴√(3 * 3 * 3 * 3)
= ⁴√(3)⁴
= 3
Therefore the answer is 3
The correct option is second option. 3
If a humpback whale swam 16.8 miles per hour dor 4.5 hours how far did it swim
Answer:
easy, it traveled/swam 75.6 miles
Step-by-step explanation:
16.8 x 4.5= 75.6
hope this helps
Which choices are equivalent to the expression below? 6 to the square root of 3
For this case we must indicate an algebraic expression corresponding to the following:
"6 to the square root of 3"
Then, we must indicate an expression of the form:
[tex]a ^ n[/tex]
Where:
[tex]a = 6\\n = \sqrt {3}[/tex]
Thus, the expression is:
[tex]6 ^ {\sqrt {3}}[/tex]
ANswer:
[tex]6 ^ {\sqrt {3}}[/tex]
Find the product (7 lbs 12 oz) x 3
i think the answer is 23.25 pounds
solve (1/64)^0.5x-3 =8^9x-2
Answer:
0.8
Step-by-step explanation:
You are given the equation
[tex]\left(\dfrac{1}{64}\right)^{0.5x-3}=8^{9x-2}[/tex]
First note that
[tex]\dfrac{1}{64}=\dfrac{1}{2^6}=2^{-6}\\ \\\left(\dfrac{1}{64}\right)^{0.5x-3}=(2^{-6})^{0.5x-3}=2^{-6\cdot (0.5x-3)}=2^{-3x+18}\\ \\8=2^3\\ \\8^{9x-2}=(2^3)^{9x-2}=2^{3\cdot (9x-2)}=2^{27x-6}[/tex]
Now
[tex]2^{-3x+18}=2^{27x-6}\\ \\-3x+18=27x-6\\ \\-3x-27x=-6-18\\ \\-30x=-24\\ \\x=\dfrac{24}{30}=\dfrac{8}{10}=0.8[/tex]
Final answer:
To solve the given equation, we convert both sides to a common base and equate the exponents. After simplifying, we find that the solution is x = 8/11.
Explanation:
We are asked to solve the equation (1/64)^0.5x-3 = 8^9x-2. To begin, we will express both sides of the equation with the same base since 64 is 2^6 and 8 is 2^3. This transformation will allow us to use the property of exponents that states when the bases are equal, the exponents must also be equal.
First, let's rewrite the equation using base 2:
(1/2^6)^(0.5x-3) = (2^3)^(9x-2)(2^-6)^(0.5x-3) = (2^3)^(9x-2)2^(-6(0.5x-3)) = 2^(3(9x-2))Now, since the bases are the same, we can equate the exponents:
-6(0.5x-3) = 3(9x-2)-3x + 18 = 27x - 633x = 24x = 24/33x = 8/11The solution to the equation is x = 8/11. Always remember to check for extraneous solutions when dealing with exponents and roots.
given h(×)=×^2-2 find the value of h(-3)
Answer:
h(-3) = 7Step-by-step explanation:
Put x = -3 to the equation of the function h(x) = x² - 2:
h(-3) = (-3)² - 2 = 9 - 2 = 7
The recursive rule for a sequence is a^n=a^(n-1)+7,where a^1=-15. What is the explicit rule for this sequence?
ANSWER
[tex]a_n=7n - 22[/tex]
EXPLANATION
The recursive rule for the sequence is
[tex]a_n=a_{n-1}+7[/tex]
In general the recursive rule is written as:
[tex]a_n=a_{n-1}+d[/tex]
This implies that, d=7
The first term of the sequence is
[tex]a_1= - 15[/tex]
The explicit rule is given by:
[tex]a_n=a_1 + d(n - 1)[/tex]
We substitute to get;
[tex]a_n= - 15 + 7(n - 1)[/tex]
[tex]a_n= - 15 + 7n - 7[/tex]
[tex]a_n=7n - 22[/tex]
PLEASE SOMEBODY HELP ME IVE BEEN ASKING FOR HOURS!!!
Answer:
i think its 4
Step-by-step explanation:
Answer:
2.45
Step-by-step explanation:
The expected value is the sum of the points times the probability.
The expected number of points from a touchdown is:
E = 7×0.35 + 0×0.65
E = 2.45
What is the solution set of {x | x < - 5} n {x | x > 5} ?
a. all numbers less than -5 and greater than 5
b. the numbers between -5 and 5
c. the empty set
d. all real numbers
Answer:
c. the empty set
Step-by-step explanation:
set of {x | x < - 5} n {x | x > 5}
The set x < - 5 comprises of real numbers that are less than -5;
(-6, -7, -8, -9, -10, -11, ......)
On the other hand, the set x > 5 comprises of real numbers greater than 5;
(6, 7, 8, 9, 10, 11, ......)
Clearly, the intersection of the above sets is empty, in that the intersection has no elements.
Therefore, {x | x < - 5} n {x | x > 5} is an empty or null set
Answer:
The solution set empty set or null set ⇒ answer c
Step-by-step explanation:
* Lets study the meaning of the inequality
- If a < x < b, that means the value of x is between a and b
- If a ≤ x ≤ b, that means the value of x is from a to b
- If x < a and x > b, that means the value of x is smaller than a and
grater than b
- If x ≤ a and x ≥ b, that means the value of x is smaller than or equal a and
grater than or equal b
* Now lets solve the problem
∵ {x I x < -5}
∴ x is smaller than -5
∵ {x I x > 5}
∴ x is greater than 5
∵ {x I x < -5} ∩ {x I x > 5}
- The meaning of ∩ is the common numbers between the
two sets, but there is no common numbers between the
two sets
∴ {x I x < -5} ∩ {x I x > 5} = { }
∴ The solution set empty set or null set
which of the following is equivalent to the expression below?
(-3m+5)+(m-11)
A. 4m-16
B.-4m-6
C. 2m-16
D. -2m-6
Answer:
D
Step-by-step explanation:
add -3m + 1m = -2m
add 5 -11= -6
combine like terms
PLEASE HELP 10 POINTS
Answer:
Step-by-step explanation:
Box 1: contains 4 items, two of which are pens. the probability of choosing a pen is 2/4
Box 2: contains 7 crayons and 3 colored pencils for a total of 10. The probability of choosing 1 crayon out of that box is 7/10
Event Probability = 2/4 * 7/10 = 14/40 = 7 / 20
Can someone please help me with this quick I’m very confused
.140 I think it's that
Answer:
Step-by-step explanation:
Total number of marbles = 6 + 3 + 5 = 14
You want to draw out 3 marbles -- all of them red. In solving this, you have to assume that none are put back.
The answer is
P(Red) = 6/14 * 5/13 * 4/12
P(Red) = 3/7 + 5/13 + 1/3
numerator = 3*5*1 = 15
denominator = 7 * 13 * 3
denominator = 273
P(red) = 15 / 273
P(red) = 0.0549
What is the probability that Ron picks a red ball from bag 1, a blue ball from bag 2, and a
green ball from bag 3?
1. 1/3 to get a red ball.
2. 4/13 to get a blue ball.
3. 3/7 to get a green ball.
Hope this helps!
Which of these quadrilaterals can always be classified as a rhombus?
A) kite
B) rectangle
C) square
D) trapezoid
Answer: D) Trapezoid
Step-by-step explanation:
D is the correct answer
the sum of two consecutive integers is -239 find the two integers
Answer:
The two consecutive integers are -119 and -120
Step-by-step explanation:
As we know that these two integers are consecutive, that means that they will have a difference of 1. This means that we can find the two integers by adding 1 to the sum of -239 and then dividing it by two
[tex]1-239=-238\\\frac{-238}{2} =-119\\-119-1=-120[/tex]
When needing to determine two consecutive integers with a given sum, they can be represented as 'x' and 'x+1'. The equation x + (x + 1) = -239 gives us the solution of the two integers as -120 and -119.
Explanation:In the given question, since we are dealing with consecutive integers, we can represent the integers as 'x' and 'x+1'. As per the information in the question, we know that the sum of these two consecutive integers is -239. Therefore, we can create the equation:
x + (x + 1) = -239
Solving this equation gives us:
2x + 1 = -239
Therefore,
2x = -240
So, x = -120
This indicates that our first integer is -120. Because we are dealing with consecutive integers, the next integer would be -120 + 1 = -119. Thus, the two consecutive integers are -120 and -119.
Learn more about consecutive integers here:https://brainly.com/question/1767889
#SPJ3