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3 years ago

Dennis got 85 percent of the questions on the math test correct, which was out of 40. what was his actual mark?

Mathematics

1 answer:

makkiz [27]3 years ago

4 0

Answer:

34/40

Step-by-step explanation:

85/100 cross multiply x/40

100x/100=3400/100

x=3400/100

3400/100=34

x=34

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(Sorry about my handwriting)

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antiseptic1488 [7]

Answer:

8. Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9. Domain: [7/13, ∞)

Range: [1, ∞)

Step-by-step explanation:

Question 8

Given rational function:

$f(x)=\dfrac{x}{x^2+20x+75}$

Factor the denominator of the given rational function:

$\implies x^2+20x+75$

$\implies x^2+5x+15x+75$

$\implies x(x+5)+15(x+5)$

$\implies (x+15)(x+5)$

Therefore:

$f(x)=\dfrac{x}{(x+15)(x+5)}$

Asymptote: a line that the curve gets infinitely close to, but never touches.

The function is undefined when the denominator equals zero:

$x+15=0 \implies x=-15$

$x+5=0 \implies x=-5$

Therefore, there are vertical asymptotes at x = -15 and x = -5.

Domain: set of all possible input values (x-values)

Therefore, the domain of the given rational function is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

Question 9

Given function:

$f(x)=\sqrt{13x-7}+1$

Domain: set of all possible input values (x-values)

As the square root of a negative number is undefined:

$\implies 13x-7\geq 0$

$\implies 13x\geq 7$

$\implies x\geq \dfrac{7}{13}$

Therefore, the domain of the given function is:

$\left[\dfrac{7}{13},\infty\right)$

Range: set of all possible output values (y-values)

$\textsf{As }\:\sqrt{13x-7}\geq 0$

$\implies \sqrt{13x-7}+1\geq 1$

Therefore, the range of the given function is:

[1, ∞)

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2 years ago

Solve the inequality. X-5 < 16 A. X> 21 B. x<21 C. x< 11 D. x> 11

larisa [96]

Answer:

x < 21

Step-by-step explanation:

x - 5 < 16

x < 21 Add 5 to both sides

4 0

3 years ago

Read 2 more answers

The base of a rectangular prism is 7 cm long,and 5 cm wide. If the surface area of the prism

Phantasy [73]

Answer:

V=280

Step-by-step explanation:

7·5=35

310\35 = 8.8

V=whl=5·8·7=280

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2 years ago

Calculate the Volume Pls help

elena-14-01-66 [18.8K]

Answer:

420

Step-by-step explanation:

Multiply length, times width, times height to get your answer.

7 times 12 times 5=420

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2 years ago

The total cost of a jacket and a pair of shoes was $52.95. If the price of the jacket was $3.87 less than the pair of shoes, wha

abruzzese [7]

The price of jacket was $24.54

Step-by-step explanation:

Let,

Cost of jacket = x

Cost of pair of shoes = y

According to given statement;

x+y=52.95 Eqn 1

x = y-3.87 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y-3.87)+y=52.95\\y-3.87+y=52.95\\2y=52.95+3.87\\2y=56.82\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{56.82}{2}\\y=28.41$

Putting y=28.41 in Eqn 2,

$x=28.41-3.87\\x=24.54$

The price of jacket was $24.54

Keywords: linear equation, division

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Dennis got 85 percent of the questions on the math test correct, which was out of 40. what was his actual mark?​

Dennis got 85 percent of the questions on the math test correct, which was out of 40. what was his actual mark?