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3 years ago

Consider the graphs of f(x) and g(x).

Mathematics

2 answers:

Kipish [7]3 years ago

7 0

Movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

butalik [34]3 years ago

5 0

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7

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M,H, and G have written more than a combined total of 22 articles. H has written 1/4 as many as M. G has written 3/2 as M. Write

Natalka [10]

Missing part of the question:

Write an inequality to determine the number of articles, M could have written for the school newspaper.

Answer:

The inequality: $11M > 88$

The solution: $M > 8$

Step-by-step explanation:

Given

From the question, we have the following parameters:

$M + H + G > 22$

$H = \frac{1}{4}M$

$G = \frac{3}{2}M$

Required

Determine the inequality to solve for M

Substitute the values for H and G in the inequality:

$M + H + G > 22$

$M + \frac{1}{4}M + \frac{3}{2}M > 22$

Multiply through by 4

$4(M + \frac{1}{4}M + \frac{3}{2}M) > 22*4$

$4M + M + 6M > 88$

$11M > 88$

Divide both sides by 11

$M > 8$

4 0

2 years ago

A grade has 81 girls and 72 boys. The grade is spilt into groups that have the same ratio of boys to girls as the whole grade. H

MariettaO [177]

There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.

16*1.125=18

So there are 18 girls in a group with 16 boys.

4 0

3 years ago

Read 2 more answers

Where is the value of X in the equation

malfutka [58]

Answer:

x=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−6x=5x+22

Step 1: Subtract 5x from both sides.

−6x−5x=5x+22−5x

−11x=22

Step 2: Divide both sides by -11.

−11x

−11

x=−2

7 0

2 years ago

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Find the value to make the equation true<br><br> 1) ?/1 = 14/17

Serggg [28]

Answer:

14/17

Step-by-step explanation:

Find the value to make the equation true

1) ?/1 = 14/17

x : 1 = 14 : 17

x = 1 * 14 : 17

x = 14 : 17

x = 14/17

5 0

1 year ago

20 points BRAINLIEST

IRISSAK [1]

Answer: option c or 3 because you gotta take out the 6 so u do -6 which left is negative and right is positive and then get rid of the +2 exponent so up is positive and down is negative so you move -2 which is down.

Step-by-step explanation:

6 0

3 years ago