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3 years ago

Given the 2 points (3,1) and (4,6) what is the slope of the line?

1 answer:

7 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& 1~) 
% (c,d)
&&(~ 4 &,& 6~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-1}{4-3}\implies \cfrac{5}{1}\implies 5$

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Paula wants to save at least $800 for a trip. Which inequality shows the least amount she must save each month for 9 months to a

ElenaW [278]

Answer:

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2 years ago

The polynomial p(x)=x^3-19x-30 has a known factor of (x+2)

riadik2000 [5.3K]

Answer:

(x+2) (x+3) (x-5)

Step-by-step explanation:

x³-19x-30 = (x+2) (x²+ax-15) ... x³=x*(1*x²) while -30= (2)*(-15)

x³ +<u> 0</u>*x² - 19x -30 = x³ + (<u>2+a</u>)x² + (2a-15)x -30

2+a = 0

a = -2

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2 years ago

Read 2 more answers

The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .

sammy [17]

Answer:

$32,24,18,\frac{27}{2} ,\frac{81}{8}$

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is $32,x,y,z,\frac{81}{8}$

Recall that term of a geometric sequence are generally in the form:

$a,ar,ar^2,ar^3,ar^4$

This implies that:

a=32 and $ar^4=\frac{81}{8}$

Substitute a=32 and solve for r.

$32r^3=\frac{81}{8}$

$r^4=\frac{81}{256}$

Take the fourth root to get:

$r=\sqrt[4]{\frac{81}{256} }$

$r=\frac{3}{4}$

Therefore $x=32*\frac{3}{4} =24$

$y=24*\frac{3}{4} =18$

$z=18*\frac{3}{4} =\frac{27}{2}$

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2 years ago

What is the value of f(-6) in f(x) = 4x + 10

just olya [345]

Answer:

f(-6) = -14

Step-by-step explanation:

$f(x)=4x+10\\\\f(-6)=4(-6)+10\\\\f(-6)=-24+10\\\\\boxed{f(-6)=-14}$

Hope this helps you.

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2 years ago

The total bill for dinner, including tax, was $65.81. In Indiana there is a 7% sales tax. What was the price of the meal before

Ratling [72]

Answer:

$56.41

Step-by-step explanation:

You have to divide the total bill by the sales tax and the multiply that number by 100. Then subtract that number from the total bill and that's how you get your answer.

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2 years ago