30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
show how the point at (4,5) on the graph of f(x) translates for f(x-2)+7
Answer:
The point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Step-by-step explanation:
Function of graph : f(x)
Rule : f(x)→f(x-c)
When the graph shifts to right by c units
Coordinates (x,y)→(x+c,y)
Rule : f(x)→f(x)+c
When the graph shifts up by c units
Coordinates (x,y)→(x,y+c)
So, Graph f(x-2)+7
Now given graph f(x)
Shift this right by 2 units and then shift up by 7 units
So, f(x)→ f(x-2)+7
Now , Translation of point(4,5)
Using rule :
When shift by 2 units right
(4,5) →(4+2,5)=(6,5)
Now shift up by 7 units
(6,5) →(6,5+7)=(6,12)
So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
Z >-3
z <5
Z <4
Iz < 4
Z > 0
Answer:
A, B, D
Step-by-step explanation:
i just did it on edge
Answer:
its true
Step-by-step explanation:
1 2 4
of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.
La respuesta de tu división es exact
Step-by-step explanation:
Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564
state whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. original: 75, new:84
Answer:
The percentage of change is an increase of 12% from the original
Step-by-step explanation:
The percentage of change is a percentage of increase because the new value is greater than the original.
To find the percentage of change, we can divide the new value by the old which will give us the amount it increased by in decimal form, which we can simply multiply by 100 to find percentage:
84/75=1.12
1.12x100 = 112
The new value is 112% of the original, this means that the percentage of change is an increase of 12% from the original.
Hope this helped!
Answer:
increase and 12%
Step-by-step explanation:
84 -75 = 9
9 ÷ original # (75) = 0.12
0.12 x 100 = 12%
Write the domain and range of the function as an inequality
Domain = [tex]-\infty < x < +\infty[/tex]
Range = [tex]y \le -4[/tex]
======================================
Explanation:
The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]
This says x is between negative infinity and positive infinity.
In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]
As you can probably see, the domain is the set of all possible x inputs of a function.
--------------------------
The range is the set of all possible y outputs of a function.
The largest output is y = -4 which is where the vertex is located.
There is no smallest y value as the arrows point down, and the graph goes forever in that direction.
So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]
The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]
The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.
Given the function f(x)=x^2 + 2x-5, find f(-4).
11
O 3
O-29
Answer:
3
Step-by-step explanation:
Plug in -4 as x in the function:
f(x) = x² + 2x - 5
f(-4) = (-4)² + 2(-4) - 5
Simplify:
f(-4) = 16 - 8 - 5
f(-4) = 3
So, f(-4) = 3
Find the slope of the line through each pair of
points.
(-2,-19), (-20, 11)
Answer:
[tex]m=\frac{11+19}{-20+2} \\m=\frac{30}{-18} \\m=\frac{-5}{3}[/tex]
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Complete: y2 - y1 over x2 - x1 with your given points.
11 - (-19) = 30
______ ______
-20 - (-2) = -18
⁻³⁰⁄₁₈ = ¹⁵⁄₃ = ⁵⁄₁ Simplify to lowest fraction
Write a linear function with the values (-1,8) and (5,6)
Let the function be y = ax + c.
For (-1,8), 8 = a(-1) + c → 8 = - a + c
For (5,6), 6 = a(5) + c → 6 = 5a + c
Subtract one from abother,
2 = - 6a => - 1/3 = a
Hence, 8 = - 1/3 + c → 23/3 = c
Relation is:
y = (-1/3)x + (23/3)
3y = - x + 23
3y = 23 - x
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.
help asap if you do you will get the crown thingy
Answer:2.35x+6.00=y
x=number of gallons of gas
Step-by-step explanation:
I’m not very great a math and I’m a bit rush so yeah
Answer:
y=1/10x -9
Step-by-step explanation:
slope intercept formula - y=mx+b
Borrow $1,500 at an interest rate of 5% for one year for a total repayment of
Answer:
1680
Step-by-step explanation:
1500÷100=15
15x12 months =180
1500+180=1680
Write an equation for the line with slope that contains the point (-4, 8)
Answer:
y= 2(-4) + 8
hope it helps
David's favorite snack cake is $0.25 if bought individually , or $1.50 for a box of 10. How much less is the price per cake when bought in a box?
Answer:
$1.25
Step-by-step explanation:
Subtract $0.25 by $1.50
$1.50-$0.25=$1.25
Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?
2. Explain your answer to question
The graph above shows the amount of protein
supplied by five different food products, A, B, C, D,
and E, as a percentage of their total weights. The
costs of 10 grams of products A, B, C, D, and e are
$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.
Which of the five food products supplies the most
protein per dollar?
Answer:
Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!
The graph above shows the amount of protein
supplied by five different food products, A, B, C, D,
and E, as a percentage of their total weights. The
costs of 10 grams of products A, B, C, D, and E are
$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.
Which of the five food products supplies the most
protein per dollar? (question 17, Section 4, practice PSAT)
Step-by-step explanation:
Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!
The graph above shows the amount of protein
supplied by five different food products, A, B, C, D,
and E, as a percentage of their total weights. The
costs of 10 grams of products A, B, C, D, and E are
$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.
Which of the five food products supplies the most
protein per dollar? (question 17, Section 4, practice PSAT)
You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, C is the
number of chores you do, and d is the number of dollars you earn.
The relationship between these two variables can be expressed by the following equation:
d=3c
Identify the dependent and independent variables.
Dependent variable
Independent variable
The number of chores you do
The number of dollars you earn
Answer:
Independent- c (number of chores)
Dependent- d (number of dollars)
Step-by-step explanation:
The lines shown below are parallel. True or false?
Answer:
yes, true
Step-by-step explanation:
Answer:
the answer is true because they dont intersect
Step-by-step explanation:
Follow the steps and finish the solution.
7 (x minus 3) = 28
Distributive property: 7 x minus 21 = 28. Addition property of equality: 7 x = 49. Division property of equality: x = blank.
What is the value of x?
7
9
42
56
Answer:
X=7
Hope this helps, and have a Great Day. You got this!!!
Step-by-step explanation:
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
Help me pls I’ll give brainliest to whoever can answer and explain the best
Answer:
part c hope this helps. :)
Step-by-step explanation:
11/12
2 3/4 = 11/4
11/4 divided by 3
turn the divide to multiply and write 11/4 x 1/3
answer will be 11/12
Answer:
11/12
Step-by-step explanation:
Shelby and her two friends make 3 people.
2 3/4 pies are left over
They decide to share among themselves.[3]
Change 2 3/4 to an improper fraction:2*4+3=11/4
11/4 evenly divide with 3 friends
Change the division sign to multiplication by giving the reciprocal of the number to the right[3]
11/4*1/3=11/12
Please help due tomorrow..URGENT!! will mark brainliest
Answer:
i would recommend not posting pictures because i cannot see them
Step-by-step explanation:
graph y=1/2x+2 please explain
Answer:
Step-by-step explanation:
y=1/2x+2
1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases
so the slope increase 1/2 +2
The graph of y=1/2x+2 is shown in figure below
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Given;
y=1/2x+2
Here, 1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases;
Hence, the slope increase 1/2 +2
The graph of the given function;
Learn more about graphing functions here:
https://brainly.com/question/14455421
#SPJ2
What is the constant in the expression? 4x - 1*
O 4
O -4
O 1
O -1
Answer:
-1
Step-by-step explanation:
-1 is the constant in the expression 4x - 1
Answer:
-1
Step-by-step explanation:
as it got no variables to it.
What is a force between an object and the surface it is moving over?
Answer:
Friction
Step-by-step explanation:
prove that theta=l/r radian
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
plz help plzzzzzzzzzzz
Answer:hahhahahahahahahhaha that sucks were both stupid!!!
Step-by-step explanation:
4.3602x10^4 estimate
Answer:34
4
Step-by-step explanation:
Answer:
43602
Step-by-step explanation:
hope this helps :)
I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Bruh.
Step-by-step explanation:
help find equation and missing angle
Answer:
angle V + Angle W = angle U
angle VUF is equal to 94 degrees
Step-by-step explanation: