All categories

3 years ago

What is the y intercept of the quadratic equation f(x)=(x-8)(x+3)?

Mathematics

2 answers:

Semmy [17]3 years ago

5 0

Ok so the x intercepts would be 8 and - 3 so the only reasonable answer would be A-(8,0)

tresset_1 [31]3 years ago

5 0

Answer: (0, -24)

Step-by-step explanation: Remember that f(x) means the same thing as y.

So we can write this as y = (x - 8)(x + 3).

To find the y-intercept, we can first F. O. I. L this problem.

We take the product of the first terms plus the product of the outer terms

plus the product of the inner terms plus the product of the last terms.

So we have x² + 3x - 8x - 24 which simplifies to x² - 5x - 24.

Notice that our equation is in standard form which

is written y = ax² + bx + c where a is not 0.

When an equation is in this form, the c will be the y-intercept.

So our y-intercept is -24.

You might be interested in

The inequality log8(2x) < log2(x – 2) can be graphed on the graphing calculator by using the inequalities log8(2x) < y and

denis-greek [22]

Answer:

c - (4, ∞)

Step-by-step explanation:

answer on edg

4 0

2 years ago

a bonus of 4200 is shared by 10 people who works for a company.40% of the bonus is shared equally between 3 managers the rest of

oee [108]

Step-by-step explanation:

if each the bonus is shared equally each will get 420

if 40% is shared by managers each manager will get 560

if 7 sales persons share 60% each will get 360

therefore Peter salesperson will get 360

but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct

7 0

3 years ago

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

1 year ago

What is the value of x

Whitepunk [10]

Answer:

x = 98

Step-by-step explanation:

The sum of the interior angles in a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7, thus

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

x + 146 + 122 + 142 + 140 + 110 + 142 = 900, that is

x + 802 = 900 ( subtract 802 from both sides )

x = 98

8 0

2 years ago

If y varies directly with x and y =6 when c= -7 what is y when x =4

kaheart [24]

y = kx

6 = (k)(-7)

k = -6/7

y = -6/7 x

y = (-6/7)(4)

y = -24/7 = -3 3/7

Answer: y = -3 3/7

Hope this helps!

6 0

1 year ago