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3 years ago

Simplify the expression by combining like terms.

Mathematics

2 answers:

Finger [1]3 years ago

8 0

Answer:

D) -2v + 19

Step-by-step explanation:

Combined like terms:

16 - 2v + 3

1. Add 16 and the +3 to combine these terms

-2v + (16 + 3) = -2v + 19

marissa [1.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

16 - 2v + 3

-2v + 3 + 16

-2v + 19

Answer d

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A building casts a shadow 48feet long. At the same time,a 40 foot tall flagpole casts a shadow 9.6 feet long. What is the height

max2010maxim [7]

Let the height of the shadow be x.
Ratio of length of shadow to height: 48/x = 9.6/40
x = (48 x 40)/9.6 = 200 feet.

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4 years ago

Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

$\sqrt{\frac{1}{4}} = \frac{1}{2}$

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

7 0

2 years ago

After selling one third of his apple crop, a farmer sold the remainder at the same price per bushel for $600. What was the value

shtirl [24]

300. if you sold a third. then 2/3 would be left. you can then infer each is 300. Hope This Helps.

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3 years ago

Suppose the sale tax rate is 6%. How much sales tax would be charged for an item

s2008m [1.1K]

Answer:

B. $3.60

Step-by-step explanation:

Tax = 6%

Price = $60

Tax amount = 60*0.06 = $3.6

Correct answer: B. $3.60

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4 years ago

A rectangular prism is 2 meters long, 50 centimeters wide, and 1 meter high. What is its volume? (Hint: How many centimeters are

Virty [35]

Volume
V = WhL
V = (50)(2)(1)
V = 100 cubic centimeters

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4 years ago