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2 years ago

What are the factor pairs that multiply to be 30 and has a sum of 13?

Mathematics

1 answer:

Usimov [2.4K]2 years ago

5 0

Answer:

3 and 10

Step-by-step explanation:

3 plus 10 equals 13

3 times 10 equals 30

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Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

3 years ago

Solve the proportion using cross products. Round to the nearest hundredth if necessary. $18.45/m gal = $3.60/7.5gal

sveta [45]

$\dfrac{\$18.45}{n \text { gallon}} = \dfrac{\$3.60}{7.5 \text { gallon}}$

Cross multiply
$n \times \ 3.60 = 7.5 \times \ 18.45$

Combine like terms
$3.60n = 138.375$

Find n
$n = 138.375\div 360$

Answer
$n = 0.38 \text { (nearest hundredth)}$

3 0

2 years ago

Read 2 more answers

Why do you think the Court ruled differently in New York Times Co. v. United States (1971) than it did in Schenck v. United Stat

Marina CMI [18]

Answer:

The case reached the Supreme Court in June 1971. The Supreme Court has, at times, ruled that the government can restrict speech that presents a “clear and present danger.”

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3 years ago

Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?

nadezda [96]

Given:

$(3x+7)^2$ is subtracted from 3.