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IRINA_888 [86]
2 years ago
9

The question is in the image.

Mathematics
1 answer:
miskamm [114]2 years ago
7 0

Step-by-step explanation:

f(x) = 4x + 1

g(x) = x² - 5

(f+g)(x) = f(x) + g(x)

= (4x + 1) + (x² - 5)

= x² + 4x + (1 - 5)

= x² + 4x - 4

Option → C

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What is the function written in vertex form?
lys-0071 [83]

Answer:

The answer in the procedure

Step-by-step explanation:

The question does not present the graph, however it can be answered to help the student solve similar problems.

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

If the coefficient a is positive then the parabola open up and the vertex is a minimum

If the coefficient a is negative then the parabola open down and the vertex is a maximum

case A) we have

f(x)=3(x+4)^{2}-6

The vertex is the point (-4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case B) we have

f(x)=3(x+4)^{2}-38

The vertex is the point (-4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

case C) we have

f(x)=3(x-4)^{2}-6

The vertex is the point (4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case D) we have

f(x)=3(x-4)^{2}-38

The vertex is the point (4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

4 0
3 years ago
Determine if (-1,9) and (-2,6) are solutions to the system of equations: x + y = 8 x2 + y = 10 A) Both are solutions B) Neither
Dahasolnce [82]

Answer:

D) Only (-1,9) is a solution.

Step-by-step explanation:

x+y =8

x^2 + y = 10

Lets check the first point (-1,9)

Put in x =-1 y =9

x+y =8

-1+9 = 8

8 =8

This works

x^2 + y = 10

(-1)^2 +9 =10

1+9 = 10

10 = 10

This works

Lets check the second point (-2,6)

Put in x =-2 y =6

x+y =8

-2+6 = 8

4=8

This  does not work

We can stop now.  (-2,6) cannot be a solution

7 0
3 years ago
Given f(x) = x − 7 and g(x) = x2 . Find g(f(−1)).
ivann1987 [24]

Answer:

64

Step-by-step explanation:

g(f(-1)) can be found by first finding f(-1) then taking that result and putting it into the function g.

f(-1) means we are going to take the expression x-7 and evaluate it for x=-1:  

-1-7

-8

So f(-1)=-8.

So we have this so far:

g(f(-1))=g(-8)=(-8)^2=64.

g(-8) was found by replacing x in x^2 with -8.

8 0
2 years ago
Solve 6 - 2x = 3<br><br> How do I do this?
RoseWind [281]

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

6 - 2x = 3

(You have to subtract 6 on both sides so it can cancel out)

6 - 6 - 2x = 3 - 6

-2x = -3

(Now, you divide -2 on both sides to isolate the x)

-2/(-2)x = -3/(-2)

x = 3/2

5 0
3 years ago
Could someone explain this to me
Bond [772]

Answer:

Step-by-step explanation:

The question is asking you to graph the equations.

The equations are in slope intercept form so y=mx+b

M is the slope and b is the y-intercept

First draw the y & x axis and label/number them

The y-intercept for the first equation is -1 so draw a dot on the -1 on the y-axis

The slope is 2/5 and you use rise/run to continue the slope.

you rise 2 on the y-axis and go right 5 times on the x-axis (for a negative number you go left/down)

For the second equation, you have to turn it into slope intercept form.

You should get y=2/3x+3

You graph this equation the same as you did the first one.

8 0
2 years ago
Read 2 more answers
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