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2 years ago

Factor 5v^2 - 23v - 10

Mathematics

1 answer:

AfilCa [17]2 years ago

7 0

Answer:

$(5v + 2)(v - 5)$

Step-by-step explanation:

Hello!

The expression is written in the form of $ax^2 + bx + c$

Let's factor by grouping:

$ac = -50$

The sum of the factors of -50 should add up to -23.

-25 and 2 work for this.

Expand and factor:

$5v^2 - 23v - 10$
$5v^2 - 25v + 2v - 10$
$5v(v - 5) +2(v -5 )$
$(5v + 2)(v - 5)$

The factored expression is $(5v + 2)(v - 5)$

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Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price o

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We are given the dimensions 10 feet length and 3 inches height. The volume of the rectangular portion is equal to $72.59 / $98 per cubic yard that is equal to 0.74 cubic yard. This is equal to 19.98 cubic feet. This means the width of the portion is equal to 8 feet.

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3 years ago

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What is the interval notation for the compound inequality? x is less than or equal to -4 or x is greater than or equal to 5?

Tems11 [23]

x is less than or equal to -4 or x is greater than or equal to 5

x <= -4 or x>= 5

There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality

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Interval notation is (-∞ , -4]

for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5

Interval notation is [5 , ∞)

Now combine both notation by a 'U' symbol Union

(-∞ , -4] U [5 , ∞)

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3 years ago

A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?

Sever21 [200]

6.80/8 = 0.85 + 0.25= 1.10

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2 years ago

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Need answers ASSAP

ollegr [7]

Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: $\pi \approx3.14$
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

Calculate the volume of the paint bucket (its formed being cylindrical), we have:
 $V = \pi *r^2*h$
$V = 3.14 *3.5^2*8$
$V = 3.14*12.25*8$
$\boxed{V = 307.72\:in^3}$

What was the total cost of the paint?

price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (directly proportional)

$\frac{0.05}{y} = \frac{1}{307.72}$
multiply cross
$1*y = 0.05*307.72$
$y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark$

Answer:
the total cost of the paint is $15

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3 years ago

Find the value of x. Then tell whether the side lengths from a Pythagorean triple sides 20,16 find x

Tema [17]

Answer:

x = 12

Step-by-step explanation:

Pythagorean triplet

12,16,20

So, the value of x is 12

x + 256 = 400

x = 400 - 256

x = 144

The square of 12 is 144

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3 years ago

Factor 5v^2 - 23v - 10​

Factor 5v^2 - 23v - 10