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2 years ago

Show work / explain it

Mathematics

2 answers:

Luden [163]2 years ago

8 0

Answer:

Answer Varies

Step-by-step explanation:

For the 1st equation, there are a lot of numbers that could fit x, such as any negative number, such as -1,-2,-3, etc. For the 2nd equation, 9 and below would work. Please correct me if I am wrong because everybody makes mistakes.

Travka [436]2 years ago

7 0

Answer:inequality form x ≤ -1

for 3x + 9 ≤ 6

Step-by-step explanation:isolate the variable by dividing eash side by factors that dont contain the variable

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2( 10 - a^2 ) + 7a If ( a = 4 )Evaluate each expression

Lostsunrise [7]

Solution:

Given:

$2(10-a^2)+7a$

when a = 4, substitute for a in the expression;

$\begin{gathered} 2(10-a^2)+7a=2(10-4^2)+7(4) \\ =2(10-16)+28 \\ =2(-6)+28 \\ =-12+28 \\ =16 \end{gathered}$

Therefore, if (a = 4), then

$2(10-a^2)+7a=16$

Hence, the answer is 16.

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2 months ago

Andrew has a cell phone plan that provides 300 free minutes each month for

Mekhanik [1.2K]

Answer:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If then If then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300

Hoped I helped

4 0

2 years ago

A triangle has side lengths of 15 millimeters, 10 millimeters, and 13 millimeters. What kind of triangle is it?

Akimi4 [234]

Answer:The triangle is acute

Step-by-step explanation:

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2 years ago

Read 2 more answers

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

2 years ago

Item 19 A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 112 feet from a bu

liberstina [14]

The building is about 70.95 feet tall.

The building and the laser range will form a right triangle. You can use the Pythagorean Theorem to find the height of the building.

112^2 + b^2 = 131^2
b = 67.95

However, don't forget to add on 3 because that is the height of the laser range.

8 0

2 years ago

Show work / explain it​

Show work / explain it