Help pls pic is above

Mathematics

1 answer:

Ann [662]3 years ago

8 0

Answer:

y=2x-4

Step-by-step explanation:

Given the points (0, -4) and (5, 6), -4 is the y-intercept because it's given.

Use the slope-intercept form to solve for the slope: y=mx+b.

6=5(m)-4

+4 +4 add both sides by 4

---------------

$\frac{10}{5} =\frac{5m}{5}$ divide both sides by 5 to isolate m

2=m

The equation of the line is y=2x-4

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Four integers are consecutive terms of an arithmetic sequence. The sum of these four numbers is 24 and the product is 945.

Paraphin [41]

9514 1404 393

Answer:

Step-by-step explanation:

The prime factorization of 945 is ...

945 = 3³·5·7

suggesting the numbers are 3, 5, 7, 9. These have a sum of 24.

The largest of the integers is 9.

6 0

3 years ago

Desperately need help

maxonik [38]

$\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}$