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3 years ago

What two numbers multiply to 56 and add to -15

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

Answer:

-7 and -8

Step-by-step explanation:

because 7 times 8 equals 56 and negative times a negitive equals a positive and -7 added to -8 equals -15

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1. f(x)= (x+4)(x-6) 2. f(x)= (2x-4)(x-3)

devlian [24]

The intercepts and the standard form of each polynomial are listed below:

x-Intercept: x = - 4 or x = 6, Standard form: f(x) = x² - 2 · x - 24, y-Intercept: f(0) = - 24
x-Intercept: x = 1 / 4 or x = 3, Standard form: f(x) = 2 · x² - 10 · x + 12, y-Intercept: f(0) = 12

<h3>How to find the intercepts and the standard form of quadratic equations</h3>

In this case we need to find the intercepts of each quadratic equation and transform each quadratic equation into standard form. The x-intercept correspond with each of the roots of the polynomial and the y-intercept is found by evaluating the expression at x = 0.

Now we proceed to find each element:

Case 1

x-Intercept

x = - 4 or x = 6

Standard form

f(x) = (x + 4) · (x - 6)

f(x) = x² - 2 · x - 24

y-Intercept

f(0) = - 24

Case 2

x-Intercept

x = 1 / 4 or x = 3

Standard form

f(x) = (2 · x - 4) · (x - 3)

f(x) = 2 · (x - 2) · (x - 3)

f(x) = 2 · (x² - 5 · x + 6)

f(x) = 2 · x² - 10 · x + 12

y-Intercept

f(0) = 12

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

6 0

2 years ago

The owner of a construction company would like to know if his current work teams can build room additions quicker than the time

frez [133]

Answer:

The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.

Step-by-step explanation:

We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.

The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.

$H_0: \mu=0\\\\H_1: \mu$

The significance level, as a storng evidence is needed, is α=0.01.

The estimated standard deviation is:

$s_M=\frac{s}{\sqrt{n}}=\frac{0.2}{\sqrt{16}} =0.2/4=0.05$

As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.

For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.

Then, we calculate the t-value for this sample:

$t=\frac{x-\mu}{s_M} =\frac{-0.32-0}{0.05}= -6.4$

As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.

8 0

4 years ago

I know it’s a lot but I need help didn’t get the material because I’m doing online classes and my WiFi is trash

g100num [7]

Answer: not sure if that is a b but i beleive it is so

bh+hr=25

move all terms to the left side and set equal to 0. then set each factor equal to zero.

h= $\frac{25}{b+r}$

isolate the variable by dividing each side by factors that dont

contain the variable.

r= $\frac{25}{h}-b$

x= $\frac{r-h}{y}$

isolate the variable by dividing each side by factors that dont

contain the variable.

h=-xy+r

solve for r by simplifieng both sides of the equation, then isolating the variable.

r=xy+h

4 0

3 years ago

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NEED HELP ASAPPP PLS HELPP question 3 !!

Serhud [2]

Answer: It might be C

Step-by-step explanation:

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3 years ago

Which layer of the Earth is the thickest?

DaniilM [7]

Answer:

The mantle

Step-by-step explanation:

The Earth can be divided into four main layers: the solid crust on the outside, the mantle, the outer core and the inner core. Out of them, the mantle is the thickest layer, while the crust is the thinnest layer

3 0

3 years ago

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