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Vera_Pavlovna [14]

3 years ago

7

Find the coordinates of the points of intersection of the parabola y=x^2+3x-4 and the line y=2x+2

1 answer:

lana [24]3 years ago

6 0

You can set the y values equal to each other and solve the system:

x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2

So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:

y=2(-3)+2
y=-4

y2(2)+2
y=6

So the coordinates are (-3,-4) and 2,6).

You might be interested in

Find the measure of.. (Image included) <br> I'll take all the help I can get please :)

sergey [27]

Answer:

$\sf\Huge\boxed{C.40}$

Step-by-step explanation:

Hello There!

Remember: sum of interior angles of a triangle = 180

so to find x we use this equation

180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)

now we solve for x

step 1 combine like terms

90 + 5 + 5 = 100

7x + 9x = 16x

now we have 180 = 16x + 100

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 80 = 16x

step 3 divide each side by 16

80/16 = 5

16x/16=x

we're left with x = 5

Finally we plug in 5 into x for angle a

7(5)+5

7*5=35

35+5=40

so we can conclude that the measure of angle A is 40 degrees

4 0

2 years ago

If the simple interest on $4000 for 3 years is $720, then what is the interest rate?

solong [7]

Answer:

0.06% annually

Step-by-step explanation:

Divide $720 by 3. We get $240, so we know this is the amount of interest we get per year. Dividing $240 by $4,000 gives us

$\frac{240}{4000} = 0.06$

4 0

2 years ago

A population of values has a normal distribution with μ = 158.9 μ = 158.9 and σ = 90.4 σ = 90.4 . You intend to draw a random sa

rosijanka [135]

Answer:

$P_{39}=133.68$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 158.9

Standard Deviation, σ = 90.4

We are given that the distribution is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.39

$P( X < x) = P( z < \displaystyle\frac{x - 158.9}{90.4})=0.39$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 158.9}{90.4} = -0.279\\\\x = 133.6784\approx 133.68$

$P_{39}=133.68$

133.68 separates the bottom 39% means from the top 61% means.

7 0

3 years ago

Which answer choice shows 4 + 0.3 + 0.09 written in standard form?

puteri [66]

Solution:

<u>A few changes were made:</u>

4 as 4.00.
0.3 as 0.30

<u>New equation:</u>

4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09

<u>Solving the equation:</u>

4.00 + 0.30 + 0.09
=> 4.39 (Refer to image for work)

Correct option is B.

8 0

2 years ago

Read 2 more answers

2x-4<br> 30<br> 15x - 30<br> PAP

Alex787 [66]

Answer:

$\frac{2}{25}$

Step-by-step explanation:

Given expression,

$\frac{\frac{2x-4}{30} }{\frac{15x-30}{18} }$

=> $\frac{\frac{2(x-2)}{30} }{\frac{15(x-2)}{18} }$

We see that $(x-2)$ is common in both numerator and denominator

hence canceling out we get:-

$\frac{2*18}{30*15}=\frac{2}{25}$

Answer= $\frac{2}{25}$

4 0

3 years ago