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3 years ago

What is f(–3) for the function f(a) = –2a2 – 5a + 4?

2 answers:

7 0

Its easy
just substitute (-3) in the place of 'a'.

f(-3) = -2(-3)^2 - 5(-3) +4
= -18 + 15 + 4
= 1

I hope this helped :D

shepuryov [24]3 years ago

4 0

F(-3) = -2(-3)2 - 5(-3) +4
- 6 x 2 -15 + 4
- 12 -15 +4
- 27 + 4
-23

I believe this is how to solve the equation. I could be wrong.

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3x+2y=-15 2x=-18 elimination

Sergeeva-Olga [200]

Answer: (-9,6)

Step-by-step explanation:

3x+2y=-15

2x=-18

First solve for x in second equation

2x=-18

2x/2=-18/2

X= -9

Now substitute your x into first equation to find y

3(-9)+2y= -15

-27+2y=-15

2y= -15+27

2y= 12

2y/2=12/2

Y= 6

5 0

3 years ago

Graph ARST with vertices R(6, 6), S(3, -6), and T(0, 3) and its image after a

padilas [110]

Answer:

The answer is the second figure and the vertices of Δ R'S'T' are:

R' = (-6 , 6) , S' = (-3 , -6) , T' = (0 , 3)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

- Now we can solve the problem

∵ R = (6 , 6) , S = (3 , -6) , T = (0 , 3), they are the vertices of ΔRST

- The triangle RST is reflected over the y-axis

- According to the rule above the signs of x-coordinates will change

∵ R = (6 , 6)

∴ Its image is (-6 , 6)

∵ S = (3 , -6)

∴ Its image is (-3 , -6)

∵ T = (0 , 3)

∴ Its image is (0 , 3)

* Now lets look to the figure to find the correct answers

- The image of Δ RST is ΔR'S'T'

∵ The vertices of the image of ΔRST are:

R' = (-6 , 6) , S' = (-3 , -6) , T' = (0 , 3)

* The answer is the second figure

7 0

3 years ago

find the volume of cubical box . if the cost of painting of outer surface is rs 1440 at the rate rs 15 per mcube

bearhunter [10]

Surface of a cubical box=6(side²)

1)We have to calculate the surface of this cubical box.
Rate=cost of painting / surface ⇒surface=cost of painting/rate

Data:
Rate=$15/m²
cost of painting=$1440

Surface=$1440/($15/m²)=96 m²

2)We find out the length of the side:

Surface of a cubical box=6(side²)

Data:
Surface of a cubical box=96 m2

Therefore:
96m²=6 (side²)
side²=96 m²/6
side²=16 m²
side=√(16 m²)=4 m

3) We find the volume of a cubical box.
volume=(side³)
volume=(4 m)³
volume=64 m³

Answer: the volume of this cubical box would be 64 m³.

3 0

3 years ago

Write a fact with the same sum as 7+5

kaheart [24]

7+5=12 so it can be one of these 8+4=12, 9+3=12, 10+2=12, and 11+1=12.

5 0

3 years ago

Write the equation of a line through points (5,5) and (1, 0) in point-slope form?

algol [13]

Answer:

Step-by-step explanation:

I’m assuming that the equation is to be written in slope intercept form (y=mx+b), so for this, you want to find the slope and y-intercept. To find the slope, use the equation in picture 1.

0 - 5 = -5

1 - 5 = -4

-5 / -4 = 1.25

So m, or the slope, is equal to 1.25.

To find the y-intercept, make a table like the second picture. Choose one of the ordered pairs as the given. I used 1,0.

0,?

1,0

Now find the change in x, which in this case, is 1. Then set up something like picture three.

1.25/1 = ?/1

?=1.25

Now backtrack to get:

0, -1.25

1, 0

Now we know what is y when x is 0, we know the y intercept and can make the equation:

y = 1.25x - 1.25

5 0

2 years ago