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4 years ago

If f(x)=2x^2+6,find the value of f(-3). Show all work

1 answer:

8 0

Just plug -3 where x is into the equation 2x^2 + 6 and solve
f(-3) = 2(-3)^2 + 6
f(-3) = 2(9) + 6
f(-3) = 18 + 6
f(-3) = 24

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The point E(3,3) is rotated 90 degrees clockwise around the orgin. What are the coordinates of the resulting point E

givi [52]

The coordinates are 3,-3

4 0

4 years ago

Question 1(Multiple Choice Worth 4 points)

m_a_m_a [10]

1) 5
2) zero
3) Step 1: 12x + 15 = 12
Step 2: 12x = −3
4) 10
5) 2

This took me a long time to do so I hope this was beneficial :)) !! (btw I am absolutely sure about every answer. I checked my work plenty of times :)

6 0

3 years ago

Read 2 more answers

What is the domain and range please?

MissTica

Answer:

range -5 ≤ y ≤ 3

domain -5 ≤ x ≤ 3

Step-by-step explanation:

6 0

3 years ago

At how many points do the graphs of the equations y = 2x + 5 and y = x² - 2x- 7 intersect?

pychu [463]

Answer: $\Large\boxed{\text{Two Points}}$

Step-by-step explanation:

Given a system of equation

$1)~y=2x+5$

$2)~y=x^2-2x-7$

Substitute the 2) equation for the y value of the 1) equation

$2x+5=x^2-2x-7$

Subtract [ 2x + 5 ] on both sides

$2x+5-(2x+5)=x^2-2x-7-(2x+5)$

$x^2-2x-7-2x-5=0$

$x^2-4x-12=0$

Cross multiply the equation

$x~~~~~~~~~~~~~~~-6$

$x~~~~~~~~~~~~~~~2$

$(x-6)(x+2)=0$

$x=6~\text{or}~x=-2$

Since there are 2 x values, this represents that there are $\Large\boxed{\text{Two}}$ intersecting points

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The following is EXTRA information for the question if you need to find the points of intersection

Substitute the x values into one of the equations to find the y value

$\text{When}~x=6:$

$y=2x+5$

$y=2(6)+5$

$y=12+5$

$y=17$

$\large\boxed{(6,17)}$

$\text{When}~x=-2:$

$y=2x+5$

$y=2(-2)+5$

$y=-4+5$

$y=1$

$\large\boxed{(2,~1)}$

Graph the equations to check the solutions

Please refer to the attachment below for the graph

3 0

2 years ago

PLEASE I Can’t figure this out.

Scilla [17]

Answer:

y = 1/4x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.

Plug this value (1/4) into your standard point-slope equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.

-1 = 1/4(4) + b

To find b, multiply the slope and the input of x (4)

-1 = 1 + b

Now, subtract 1 from both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 1/4x - 2

This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)

Hope this helps!

4 0

3 years ago