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olganol [36]
3 years ago
10

A 12​-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. Find t

he lengths of both pieces.

Mathematics
1 answer:
nikklg [1K]3 years ago
5 0
Hope this helps you.

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What is the product of (3a + 2)(4a? - 2a + 9)?
yan [13]

Answer:

The answer is 12a^3+2a²+23a+18 ....

Step-by-step explanation:

The given terms are:

(3a + 2)(4a² - 2a + 9)

Now multiply each value of second bracket with the first bracket:

=4a²(3a+2) -2a(3a+2)+9(3a+2)

=12a^3+8a²-6a²-4a+27a+18

Solve the like terms:

=12a^3+2a²+23a+18

Therefore the answer is 12a^3+2a²+23a+18 ....

4 0
3 years ago
Tell whether x and y show direct variation. Explain your reasoning. x=y+2
Mashutka [201]

Answer:

It does not show variation

Step-by-step explanation:

Given

x = y + 2

Required

Determine if there's direct variation between x and y

The general form of direct variation is:

y = kx

Make y the subject of formula in the given parameters;

x = y + 2

y = x - 2

Compare y = x - 2 to y = kx

<em>Since they are not of the same form, then the given equation do not show direct variation</em>

6 0
3 years ago
Jarvis works in a garage £6 an hour. If he works on Saturday, he is paid time and a quarter. If he works on Sunday, he is paid t
xxMikexx [17]

Answer: He is paid $90 last weekend.

Step-by-step explanation:

Since we have given that

Amount he earns per hour = $6

If he works on Saturday, he is paid time and a quarter .

Amount would be

6\times 1.25=\$7.5

If he works on Sunday, he is paid time and a half.

Amount would be

6\times 1.5=\$9

Number of hours he worked on Saturday = 6 hours

Number of hours he worked on Sunday = 5 hours

So, Total amount he is paid last weekend altogether is given by

6\times 7.5+5\times 9\\\\=\$90

Hence, he is paid $90 last weekend.

5 0
3 years ago
Movies are on sale for 3/4 the original price. If the original price is $10, what is the sale price?
gtnhenbr [62]
3/4 of 10 would = $7.5 which would be your answer.
3 0
3 years ago
Consider the equation below.
Korvikt [17]

Answer:

Equation in square form:

y=3(x+5)^2-4

Extreme value:

(h,k)=(-5,-4)

Step-by-step explanation:

We are given

y=3x^2+30x+71

we can complete square

y=3(x^2+10x)+71

we can use formula

a^2+2ab+b^2=(a+b)^2

y=3(x^2+2\times x\times 5)+71

now, we can add and subtract 5^2

y=3(x^2+2\times x\times 5+5^2-5^2)+71

y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71

y=3(x+5)^2-75+71

So, we get equation as

y=3(x+5)^2-4

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

y=a(x-h)^2+k

where

vertex=(h,k)

now, we can compare and find h and k

y=3(x+5)^2-4

we get

h=-5

k=-4

so, extreme value of this equation is

(h,k)=(-5,-4)

6 0
3 years ago
Read 2 more answers
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