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3 years ago

PLEASE HELP!

Mathematics

1 answer:

erik [133]3 years ago

6 0

Answer:

1.) 50 miles per hour

2.)D.) x=-3

3.)A.)

Step-by-step explanation:

1.) 400/80=50

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In y = mx + b, m is the slope and b is the y-intercept.

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Then, find the y-intercept by, in addition to substituting your slope, replace x with the x value of your coordinate and y with the y value of your coordinate in the formula and solve for b

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4 years ago

What is the theoretical probability of the spinner on yellow?<br> A. 35% B. 25% C. 1/5 D. 2/5

Kazeer [188]

B. 25%
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3 years ago

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If 3x plus 2 equals 90 then what is the value of x

Firdavs [7]

Hello!

$3x+2=90$

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 2 from both sides of the equation.

$3x+2-2=90-2$

Simplify

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Then you divide by 3 from both sides of the equation.

$\frac{3x}{3}=\frac{88}{3}$

Simplify it should be the correct answer.

$x=\frac{88}{3}$

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4 years ago

Find the product. Simplify your answer.

statuscvo [17]

Answer:

1/5

Step-by-step explanation:

Factor x² - 5x - 6

x² - 5x - 6 = (x + 1)(x - 6)

$\frac{x-6}{(x+1)(x-6)}$

Cancel the common factor.

$\frac{1}{x+1}$

$\frac{1}{x+1}$ · $\frac{x+1}{5}$

$\frac{1*(x+1)}{5*(x+1)}$

Cancel the common factor.

1/5

7 0

3 years ago

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What is the solution to the equation

Dafna11 [192]

$\sqrt{4t+5}=3-\sqrt{t+5}\\\\D:4t+5\geq0\ \wedge\ t+5\geq0\ \wedge\ \sqrt{t+5}\leq3\\\\t\geq-\dfrac{5}{4}\ \wedge\ t\geq-5\ \wedge\ t\leq6$

therefore
$D:x\in\left< -\dfrac{5}{4};\ 6\right>$

$\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs$
$9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D$
Answer: t = -1.

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3 years ago

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