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Lisa [10]
2 years ago
8

100 POINTS!!! VERY URGENT

Mathematics
2 answers:
Marta_Voda [28]2 years ago
6 0

Answer:

<u>D) (f o g)(x) = 10x² - 60x + 93</u>

Step-by-step explanation:

f(x) = 10x² + 3

g(x) = x - 3

⇒ (f o g)(x)

⇒ f(x - 3)

⇒ f(x - 3) = 10(x - 3)² + 3

⇒ f(x - 3) = 10(x² - 6x + 9) + 3

⇒ f(x - 3) = 10x² - 60x + 90 + 3

⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>

ahrayia [7]2 years ago
4 0

Answer:

\textsf{D)} \quad (f \circ g)(x)=10x^2-60x+93

Step-by-step explanation:

\textsf{If }\:f(x)=10x^2+3\:\textsf{ and }\:g(x)=x-3\:\textsf{ then}:

\begin{aligned}(f \circ g)(x) & = f[g(x)]\\ & = f(x-3)\\& = 10(x-3)^2+3\\& = 10(x^2-6x+9)+3\\& = 10x^2-60x+90+3\\& = 10x^2-60x+93\\\end{aligned}

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How to solve...John made 70% of his baskets in basketball. He made 105 baskets. How many total baskets did he make?
quester [9]
105 ÷ 70 = 1.5
1.5 * 30 = 45
105 + 45 = 150 total shots
7 0
3 years ago
Which expressions are equivalent to the given expression.<br> y^-8y^3x^0x^-2​
vesna_86 [32]

y^{-8} y^3 x^0 x^{-2} is equivalent to y ^{-5} x ^{-2}\\.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

y^{-8} y^3 x^0 x^{-2}

Simplify

y^{-8} y^3 x^0 x^{-2}\\\\y ^{-8+3} x ^{0-2}\\ \\y ^{-5} x ^{-2}\\

Hence, y^{-8} y^3 x^0 x^{-2} is equivalent to y ^{-5} x ^{-2}\\.

Learn more about an expression here:

brainly.com/question/1249625

#SPJ1

8 0
2 years ago
Forty-three percent of a chain restaurant's employees are believed to have taken a college course. In a survey of 168 employees,
vladimir1956 [14]
The answer has to be rounded to become the right answer. With that being said the answer has to be something like 73 out of 100. hope this helps you out.
3 0
3 years ago
Paga No. Date: 6. When a discount of 25% is allowed on the marked price then the selling price will be 1425 .lf the marked price
SVETLANKA909090 [29]

Answer:

The percentage loss = 10.9375 %

Step-by-step explanation:

Let the cost price = x

Since the marked price is 18.75% above the cost price so the

Marked price = 1.1875 x

When a discount of 25% is allowed on the marked price , the selling price will be Rs. 1425

⇒ Marked price × 0.75 = 1425

⇒ Cost price × ( 1.1875 × 0.75 ) = 1425

⇒ Cost price × ( 0.890625 ) = 1425

⇒ Cost price = 1600

Selling price = 1425

So percentage loss =  × 100

% Loss =  × 100

% Loss = 10.9375 %

5 0
3 years ago
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their
Andre45 [30]

Answer:

Aaron=1188

Beth=1782

Charlie=2970

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

A=\frac{2}{10} *5940

A=1188

For Beth

B=\frac{3}{10} *5940

B=1782

For Charlie

C=\frac{2}{10} *5940

C=2970

Check answer

A+B+C=5940\\1188+1782+2970=5940

4 0
2 years ago
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