[tex]\huge\text{Slope: $\boxed{-\frac{3}{5}}$}\\\huge\text{$y$-intercept: $\boxed{9}$}[/tex]
We need to convert this line to slope-intercept form, or [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
[tex]\begin{aligned}3x+5y&=45&&\smash{\Big|}&&\text{Start with the original equation.}\\5y&=-3x+45&&\smash{\Big|}&&\text{Subtract $3x$ from both sides.}\\y&=\boxed{-\frac{3}{5}}x+\boxed{9}&&\smash{\Big|}&&\text{Divide everything by $5$.}\end{aligned}[/tex]
The vertex form of the equation of
a parabola is y = 2(x +4^2 - 7.What is the standard form of the equation?
Answer:
The standard form of the equation is y = 2x^2 + 16x + 25
Step-by-step explanation:
To find the standard form, first square the parenthesis.
y = 2(x + 4)^2 - 7
y = 2(x^2 + -8x + 16) - 7
Now distribute the 2
y = 2(x^2 + 8x + 16) - 7
y = 2x^2 + 16x + 32 - 7
Now combine like terms
y = 2x^2 + 16x + 32 - 7
y = 2x^2 + 16x + 25
Answer:
y = 2x^2 + 16x + 25
slope intercept equation for (0,-4) and (4,1)
Answer:
y = (5/4)x - 4
Step-by-step explanation:
As we move from (0, -4) to (4, 1), x increases by 4 and y increases by 5.
Thus, the slope of the line segment connecting these two points is
m = rise / run = 5/4.
Subbing these knowns into the point-slope formula for the equation of a straight line, we get:
y - 1 = (5/4)(x - 4), or
y = (5/4)x - 5 + 1, or
y = (5/4)x - 4
Let's check this out. Determine whether or not (0, -4) satisfies the equation:
-4 = (5/4)(0) - 4
Yes, this is true; the equation is correct.
PLS HELP ASAP. IM TIMED
Answer:
Choice 3
Step-by-step explanation:
Using V = πr^2 h
Choice 1. π2^2x6 = 75.4
Choice 2. π2.5^2x5 = 98.17
Choice 3. π3^2x4 = 113.1
Choice 4. π3.2^2x3 = 96.51
What are these in function form
QUESTION 4.
The given function is [tex]f(x)=48x^2-32x[/tex].
The highest common factor is [tex]16x[/tex].
We factor to obtain;
[tex]f(x)=16x(3x-2)[/tex]
QUESTION 5
The given function is
[tex]g(x)=20x^2-8x[/tex]
The highest common factor is 4x.
We factor to obtain;
[tex]g(x)=4x(5x-2)[/tex]
QUESTION 6.
The given function is [tex]h(x)=42x^3-35x^2[/tex].
The highest common factor is 7x.
We factor to obtain;
[tex]h(x)=7x^2(6x-5)[/tex]
I need help, please
Answer:
Top- 23 square cm
Bottom- 172.5 square m
Step-by-step explanation:
Let me know if you need an explanation
please answer fast!
Question 5 options:
A blender is shaped like a rectangular prism. The blender is 5½ in. wide, 6½ in. long, and 12 in. tall. What is the volume of the blender?
Answer:
I believe your answer is 429.
Step-by-step explanation:
5 1/2 x 6 1/2 x 12 = 429
Which number equals (3)^-3
A)-27
B)-9
C)-1/27
D)1/27
3 to a negative 3 would be 1/3^3 and then simplify to 1/27 so your answer is D
Can someone please help me with these two questions
I can't read number 15, but number 16 is C
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Complete the inequality statement. 14 ft ____ 4 1/2 yd.
ok if i am right their are 0.3333 yards in a foot so if their is 14 feet it would be 4.66667
so your answer would go to the 4 1/2
Answer:
14 ft > 4 1/2 yd.
Step-by-step explanation:
1 yard = 3 ft
so
4 1/2 yard = 4.5 x 3 = 13.5 ft so it's less then 14 ft or 14 ft is greater than 13.5 ft
answer
14 ft > 4 1/2 yd.
Simplify the expression given below x^2+x-2/x^3-x^2+2x-2
Answer:
The simplest form is [tex]\frac{x+2}{x^2+2}[/tex]
Explanation:
The given is: [tex]\frac{x^2 + x-2}{x^3-x^2+2x+2}[/tex]
1- For the numerator:
[tex]x^2+x-2[/tex] can be factorized to give (x-1)(x+2)
2- For the denominator:
[tex]x^3-x^2+2x-2[/tex]
We will factor this using grouping
Take [tex]x^2[/tex] as a common factor from the first two terms and [tex]2[/tex] as a common factor from the last two terms
This will give us:
[tex]x^3-x^2+2x-2[/tex] [tex]=x^2(x-1) + 2(x-1)[/tex]
Now, take (x-1) as a common factor:
[tex]x^3-x^2+2x-2[/tex] = (x-1)(x²+2)
3- Finally, getting the simplest form:
[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}=\frac{(x-1)(x+2)}{(x-1)(x^2+2)}=\frac{x+2}{x^2+2}[/tex]
Hope this helps :)
The solution is [tex]\frac{x+2}{x^2+2}[/tex]
Step-by-step explanation:See the image attached
Daleton has 7 bills, all tens and twenties, that total $100 in value. How many of each bill does he have?
Answer:
two $20 and five $10
He has three $20 and four $10. Hope this helps!
An 8-car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry?
Answer:
yes
Step-by-step explanation:
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Which answer represents the domain of the logarithmic function given below? F(x) = log8x
a. x 0
b. x < 0
c. x > 0
d. All real number
ASAP !!!!
Answer:
C. [tex]x>0[/tex]
Step-by-step explanation:
Given: [tex]f(x)=log(8x)[/tex]
To find the domain of a logarithmic function, we need to take the argument, 8x, and set it greater to zero. This is because an argument of a logarithmic function cannot be zero or negative.
[tex]8x>0[/tex]
[tex]x>0[/tex]
So since x is greater than zero, we have just found out our domain:
Interval Notation: (0, ∞)
Set Notation: {[tex]x|x>0[/tex]}
The domain of the logarithmic function is,
⇒ x > 0
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that:
The function is,
⇒ F (x) = log₈ x
Now, To find the domain of a logarithmic function, we need to take the term, 8x, and set it greater to zero.
This is because an argument of a logarithmic function cannot be zero or negative.
Hence, We get;
8x > 0
x > 0
Thus, The domain of the logarithmic function is,
⇒ x > 0
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How far will a freight train travel in 3 hours at an average speed of 48 miles per hour?
Answer:
48 X 3= 144 miles
Step-by-step explanation:
Answer:
144 miles
Step-by-step explanation:
First, let's use the distance formula which is distance = rate*time.
We know the rate is 48 miles and the time is 3 hours so if you were to plug it in to the formula you'd get distance = 48*3.
When you multiply 48 by 3 you get 144 which will be the distance.
What is the distance from (-5,1) to (3,0)
Sqrt63, sqrt65 sqry67 sqrt69?
Triangle ABC
is similar to
triangle DEF
. The length of
AC
¯
¯
¯
¯
¯
is 12 cm. The length of
BC
¯
¯
¯
¯
¯
is 18 cm. The length of
DF
¯
¯
¯
¯
¯
is 10 cm.
What is the length of
EF
¯
¯
¯
¯
¯
?
Answer:
15 cm
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
[tex]\frac{BC}{EF} =\frac{AC}{DF}[/tex].
[tex]\frac{18}{x}=\frac{12}{10}[/tex]
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
[tex]\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x[/tex]
The attic shown is a triangular prism. Insulation will be placed inside the walls, not including the floor. Find the surface area that will be covered with insulation
Answer:
[tex]1,125\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces
so
[tex]SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}[/tex]
A sticker is in the shape of a trapezoid the height is 3 centimeters and the base are 2.5 centimeters and 5.5 centimeters what is the area of the sticker
How do you calculate the area of a circle. Area of a circle is equal to the times
Answer:
Radius Squared
Step-by-step explanation:
Following answer is Pi
The area of a circle is π times the square of its radius.
What is a circle?A circle is a locus of a point in a plane such that its distance from a fixed point always remains constant. This fixed point is called the centre of the circle while the distance between the centre and the moving point is called the radius of the circle.
The area of a circle is given by [tex]A=\pi r^{2}[/tex]
Where [tex]\pi[/tex] is an irrational number with a value of 3.14159...... and r is the radius of the circle.
So, the area of a circle is π times the square of its radius.
Hence, the area of a circle is π times the square of its radius.
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the price c of a used car plus 8% sales tax
Answer:
1.08c or c + 0.08c
Step-by-step explanation:
The price of any used car plus 8% tax can be found by writing an expression. You can write an expression using a variable c where c is the price of the car. You will pay the 100% the whole price of the car and add on 8% of the price as tax. This means you pay 100 + 8 = 108% of the price c. This is 1.08c. Or you can also write it as c + 0.08c.
Define a variable and write an expression for the phrase.
6 minus a number
6n
6/n
n/6
6 – n
Answer:
6-n
Step-by-step explanation:
it is subtracting a number from 6
I hope this helps!
6-n because n is equivalent to a number
what is 3097.48 rounded to the nearest whole?
3097 is the value you get when rounded off to nearest whole number
Is 8in, 15in, 17in a right triangle
[tex] {8}^{2} + {15}^{2} = 64 + 225 = 289 \\ {17}^{2} = 289 \\ \Rightarrow {8}^{2} + {15}^{2} = {17}^{2} \\ \Rightarrow A \: right \: triangle[/tex]
Answer:Yes
Step-by-step explanation:
a^2 + b^2 = c^2
C is the hypotenuse which is the longest side, b is the second longest and a is the shortest one
A jogger runs 4 miles on Monday, 5 miles on Tuesday, 3 miles on Wednesday, and 5 miles on Thursday. He doesn’t run on Friday. How many miles did he run in all
[tex]\huge\boxed{\text{$17$ miles}}[/tex]
This is a fairly simple problem. Just add all of the miles together:
[tex]\begin{array}{c}4+5+3+5\\9+8\\\boxed{17}\end{array}[/tex]
Answer:
17 miles in all.
Step-by-step explanation:
4+5+3+5=17
If f(x)=2x to the second power what is f(x) when x=3
➷ Just substitute 3 in:
2(3)^2 = 18
It would be 18
✽➶ Hope This Helps You!
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Answer:
36
Step-by-step explanation:
2*3
6^2
6*6 = 36
Ella completed the division problem below.
Answer:
B. She multiplied the dividend by 100 instead of 10.
Step-by-step explanation:
Ella had to divide[tex]1.848[/tex] by [tex]0.6[/tex]. To make it easier to divide, she thought of multiplying both the dividend and the divisor by 10.
Ella multiplied the divisor by 10 but mistakenly she multiplied the dividend by 100 instead of 10.
So her division problem changed totally.
Therefore, the correct answer option is B. She multiplied the dividend by 100 instead of 10.
Easy Question! The first answer gets brainliest!
Solve for x: 2 over 3 (x − 4) = 2x.
2
−2
−8
−4
Step-by-step explanation:
1 1/3x=-8/3
Answer:
x=−2 is the answer
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2/3(x - 4) = 2x
(2/3) (x) + (2/3) (-4) = 2x Distributed
2x/3 + -8/3 = 2x
Step 2: Subtract 2x from both sides.
2x/3 + -8/3 = 2x
(2x/3) (-2x/1) + -8/3 =0
-4x/3 + -8/3 = 0
Step 3: Add 8/3 to both sides.
-4x/3 = 8/3
Step 4: Multiply both sides by 3/(-4).
(3/-4) (-4x/3) = ( 3/-4) (8/3)
X= -2 because 3 x 8= 24 and -4 x 3 = -12
24 Divided by -12 give -2
Hopes this helps!
John had 84 dollars, and his brother Fred owed 12 dollars to his friend. John gave his brother some money. Fred paid his debt and now both of them has the same amount left. How much money did John give Fred? PLZZZZ HELP!!!!!
Answer:
John gave Fred $48
Step-by-step explanation:
Let
x be the amount of dollars John gave fred
y1 be the amount of dollars Fred has at the end
y2 be the amount of dollars John has at the end
Fred has
y1 = - $12 + x
John has
y2 = $84 - x
y1 = y2
- $12 + x = $84 - x
2*x = $96
x = $48
Colin and Brian were playing darts. Colin scored 141. Brian scored 154 more than Colin. What was their combined score
Given:
Brian scored 154 more than Colin
Colin’s score=141
Let Brian’s score be x
x= Colin’s score+ 154
x= 141 + 154
x=295
Brian’s score=x=295
Combined score= Brian’s +Colin’s
Combined score= 436
They have a combined score of 436 points
Data;
Colin's score = 141Brain = 154 + 141 EquationLet's write an equation showing Brain's score
[tex]x = 141+ 154\\x = 295[/tex]
Brain's score is equal to 295 points.
The sum of their combined score would be
Collin + Brain
[tex]141+295=436[/tex]
They have a combined score of 436 points.
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Can I get help pleass
f(5) is basically another way of saying x = 5, so we can plug 5 as x into the equation.
3(5) + 2
The answer is D. 17
Answer:
f(5) is basically another way of saying x = 5, so we can plug 5 as x into the equation.
3(5) + 2
The answer is D. 17
Step-by-step explanation: