Answer:
you substitute the variable with its value and the equation makes sense
Step-by-step explanation:
3+y=8
subtract 3 from both sides and you get
y=5
so, if y=5 then 3+y=8 is the same as saying 3+5=8 which is correct
Given that f(x)=2x+1 and g(x)=3x-1/2 find g(f(3))
1. 5
2. 7
3. 9
4. 10
Answer:
7
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
10
Step-by-step explanation:
You must substitute the 3 for the x in f(x) = 2x+1 first
f(x) = 7
Then substitute the 7 for the x in g(x) = (3x - 1)/2
g(x) = 10
Find the measures of angles x, y, and z in the figure
Answer: 46 and 80l degreesx 23+b
Step-by-step explanation:
Write the equation of a line that is perpendicular to 2x-7y=13 and which passes through the point ( -3,8).
Given parameters:
Equation of the line given 2x - 7y = 13
Coordinates of points = -3, 8
Unknown:
Equation of a line perpendicular = ?
Solution;
To find the equation of this line, simply find the negative inverse of the given line.
m = [tex]-\frac{1}{m}[/tex]
2x - 7y = 13 , this is an equation of a straight line
let us write it in the form y = mx + c so as to derive the slope
y and x are coordinates
m is the slope
c is the y intercept
2x - 7y = 13;
-7y = -2x + 13
divide through by -7;
y = [tex]\frac{2}{7}x[/tex] + [tex]\frac{13}{7}[/tex]
The slope of this line is [tex]\frac{2}{7}[/tex];
Now the slope of a line perpendicular to it will be [tex]-\frac{7}{2}[/tex];
the equation of the line will be;
y = [tex]-\frac{7}{2} x + C[/tex]
Since the coordinate of this line is (-3,8) , let us find C;
y = 8 and x = -3;
8 = [tex]-\frac{7}{2}[/tex] (-3) + C
multiply through by 2;
16 = 21 + 2C
16 - 21 = 2C
-5 = 2C
C = [tex]\frac{-5}{2}[/tex]
Now the equation of the line is;
y = [tex]-\frac{7}{2} x + \frac{5}{2}[/tex]
Answer:
j
Step-by-step explanation:
m
Dustin needed 0.80 meter of fabric to make a pillow. The fabric cost $1.50 per meter. How much did Dustin pay for 0.80 meter of the fabric?
Given parameters:
Length of fabric needed to make a pillow = 0.8m
Cost of fabric per meter = $1.5
Unknown:
Cost of the 0.8m fabric = ?
Solution:
The cost of the fabric = cost per meter x length of fabric
Input the parameters and solve;
Cost of the fabric = 0. 8 x 1.5 = $1.2
Dustin will have to $1.2 for the fabric
Please i need help! first answer i will mark brainliest!
Answer:
Mark the -5 and place an arrow pointing to the left.
Step-by-step explanation:
The sign used in the question mean less than or equal to. So n must be -5 or less.
A tennis racket originally
cost $60 and is on sale
for 25% off.
A tennis racket originally
cost $60 and is on sale
for 25% off.
15
How do you find the angle measure?
Answer:
∠ XYZ = 41°
Step-by-step explanation:
∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus
8x - 15 = 3x + 20 ( subtract 3x from both sides )
5x - 15 = 20 ( add 15 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Thus
∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°
Steve hires a compact car for 5 days and is charged a rental of $145.29. How much will he be charged, if he retains the car for two or more days?
hey i need some help :)
Answer:
[See Below]
Step-by-step explanation:
[tex]\boxed{Hey~There!}[/tex]
__________________________________________________________
[tex]\boxed{Solve~-3x<9:}[/tex]
Rearrange the equation by subtracting what is to the right of the greater than sign (≤, ≥) from both sides of the inequality:[tex]-3*x-(9)<0[/tex]
Pull out like factors:[tex]-3x - 9 = -3 * (x + 3)[/tex]
Divide both sides by [tex]-3[/tex]: Remember to flip the inequality sign:[tex]<=>[/tex]
Subtract [tex]3[/tex] from both sides:[tex]x > -3[/tex]
[tex]\boxed{The~answer~is: x > -3}[/tex]
[tex]\boxed{The~answer~is: C}[/tex]
__________________________________________________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ^-^
Which relation DOES NOT represent a
function?
A) (5, 4) , (2, −3) , (1, 6) , (4, 0)
B) (−1, 0) , (5, 2) , (−3 ,10) , (3, 8)
C) (3, 5) , (4, −1 ) , (3, −2) , (0, 0)
D) (4, 6) , (5, 6), (0, 6)
E) (2, −1) , (−4, 6) , (0, 6) , (−3, 5)
Answer:
C
Step-by-step explanation:
Hope this Helps :)
F = ma. If a force of 10 is applied to an object with a mass of 20, what is its acceleration?
Answer:
F=Ma
therefore
a=F/M
a=10/20
=0.5ms^-1
What is the solution to the equation 5x-2=2x+13?
Answer: 1.825
Step-by-step explanation:
What is the image of the point (9, -2) after a rotation of 90º counter-clockwise about the origin?
10x + 3 = 8x + 3; x =
Answer:
x = 0
Step-by-step explanation:
PLEASE HELPP ME I WILL GIVE BRAINLY. THIS PROBLEM IS WORTH 20 POINTS. PLEASE GIVE RIGHT ANSWER.
4 Eli's family is going to have a big go-cart race and each go-cart takes 3-gallon of gas. If there are 7 go-carts, how many total gallons of gas do they need to fill up all the go-carts?
The points on a section of an exam are given by the function f(x), where x is the number of questions answered correctly in that section. If [tex]f(12)=18[/tex], then a test-taker receives 18 points for answering _____ questions in the sections correctly.
Answer:
Step-by-step explanation:
X=5?
Answer:
The answer is 12
Step-by-step explanation:
In the beginning, it says f(x) where x is the number of questions answered correctly in that section. So whatever replaces x is your answer. In this case, it is 12.
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that is mowed (x)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on a car. The equation that represents this relationship is 25x+15y=750.
Use the equation to identify the x-intercept.
Explain what the x-intercept means in the context of the problem. (write a sentence & use units)
Use the equation to identify the y-intercept.
Explain what y-intercept means in the context of the problem. (write a sentence & use units)
Use the equation to identify one other possible solution.
Explain what that solution means in the context of the problem. (write a sentence & use units)
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
The student gets paid $25 for each lawn that is mowed (x)
$15 for each pool that is cleaned (y). The student wants to earn $750.
The equation that represents this relationship is 25x+15y=750.
The x - intercept :
Value of x, when y =. 0
25x + 15(0) = 750
25x + 0 = 750
x = 750 / 25
x = 30
To earn 750, if no pools are cleaned, number of lawns to be mowed = 30
(30, 0)
Y - intercept :
Value of y when x = 0
25(0) + 15y = 750
0 + 15y = 750
y = 750 / 15
y = 50
To earn 750, if no lawns are mowed, number of pools to be cleaned = 50
(0, 50)
dilations
Help with step by step answer
Answer:
see attached
Step-by-step explanation:
When the dilation factor is 3, each image point is 3 times as far from P as the original. I find it convenient to count the grid squares and go that distance twice again.
What is the cubed root of 8
The answer is 2 hope you have a good day
Find the measures of all angles in a triangle ABC
Answer: 3x23+b
G67282
Step-by-step explanation:
The formula for the length of the hypotenuse in a right triangle is where and bare the lengths of the triangle's sides this form is derived from the Pythagorean theorem) From the side, a certain ramp has a right-triangular shape. Its height is 30 centimeters and its horizontal length is 3 meters. What calculation will give us the estimated length of the ramp in meters? on Khan academyI know the answer is because I I want people to know the answer on Khan academy but you can add more answers
[tex] {30}^{2} \div {100}^{2} + {3}^{2} [/tex]
Answer:
3mStep-by-step explanation:
The length of the ramp will be the longest side of the right-triangular shape (the hypotenuse). The height and the horizontal length will be the other two sides (adjacent and opposite).
Acording to the theorem;
hyp² = opp²+adj²
Given
opp = 30cm = 0.3m (convert to metres)
adj = 3 m
Substitute
hyp² = 0.3²+3²
hyp² = 0.09+9
hyp² = 9.09
hyp = √9.09
hyp = 3.0145 m
Hence the estimated length of the ramp in meters is 3m
Use slope-intercept form, y=mx+b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes
through the point(3, -5).
What is the new equation written in slope-intercept form?
Answer:
y-intercept b = -23
The new equation is y = 6x - 23
Step-by-step explanation:
The slope-intercept form is:
y = m x + b, where
m is the slopeb is the y-intercept∵ The slope is 6
→ Substitute it in the form of the equation
∴ y = 6x + b
To find b substitute x and y in the equation by the coordinates of any point on the line
∵ The line passes through point (3, -5)
∴ x = 3
∴ y = -5
→ Substitute them in the equation
∴ -5 = 6(3) + b
∴ -5 = 18 + b
→ Subtract 18 from both sides
∴ -5 - 18 = 18 - 18 + b
∴ -23 = b
∴ The y-intercept value (b) is -23
→ Substitute it in the equation
∴ y = 6x + -23
∴ y = 6x - 23
The new equation is y = 6x - 23
Answer:
y-intercept b = -23
The new equation is y = 6x - 23
Step-by-step explanation:
If angle 5 = 120°, what is angle 2?
Answer: 2=48
Step-by-step explanation:
5 divided by 120 is 24 2 divided by what is 24 = 48
Somebody please help ASAP!
Answer:
Simplified: 2.4x−12
Step-by-step explanation:
(2.4)(x+−5)
=(2.4)(x)+(2.4)(−5)
=2.4x−12
Parallel, Perpendicular
Or Neither
X=4
X=9
x = 4 is a vertical line through 4 on the x axis
x = 9 is a vertical line through 9 on the x axis
any two vertical lines are always parallel
side note: the slope of any vertical line is undefined
Find the value of x.
The answer is 50 . I need to show equations and show my work
Answer:50
Step-by-step explanation:
80+2x=180
subtract 80 from both sides: 2x=100
divide both sides by 2: x=50
HELLPPP
Solve the system by substitution.
-9x-10y=12
−3x+3=y
Answer:
[tex]x=2\\y=-3[/tex]
Step-by-step explanation:
We have:
[tex]-9x-10y=12\\-3x+3=y[/tex]
Since we already have a variable value ([tex]y[/tex]) in the second equation, it would be easiest to substitute the value for [tex]y[/tex] in the first equation:
[tex]-9x-10(-3x+3)=12[/tex]
Distribute [tex]-10[/tex] into [tex](-3x+3)[/tex]:
[tex]-9x+30x-30=12[/tex]
Combine like terms:
[tex]21x-30=12[/tex]
Add [tex]30[/tex] to both sides of the equation:
[tex]21x=42[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]21[/tex]:
[tex]x=2[/tex]
_
Now that we have our [tex]x[/tex] value, we can substitute that in to the second equation to find our [tex]y[/tex] value:
[tex]-3(2)+3=y[/tex]
Multiply:
[tex]-6+3=y[/tex]
Combine like terms:
[tex]-3=y[/tex]
a)
(+4) + ( - 3)
b) (-2) + (-3)
c)
(+2) + (+4)
d) (-6) + (+2)
Answer:
c ) 6
d) 1 0 this are correct answer ok
A tiger at the zoo lost 14 pounds in 7 months. The tiger lost the same amount of weight each month. Write an integer that represents the change in the tiger's weight each month
Answer:
The change is 2 pounds per month.
Step-by-step explanation: