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borishaifa [10]
4 years ago
15

Simplify 12- (3r -23) +8r

Mathematics
1 answer:
chubhunter [2.5K]4 years ago
3 0

Answer:

-7

Step-by-step explanation:

1. Get rid of the brackets: 12-3r +23+8r

2. move the like terms to one side of the equation: -3r+8r = -23-12

3. Simplify: 5r = -35

4. divide both sides by 5: r= -7

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For the 1,000-meter running event, Abby's mean time is 4.5 minutes with a standard deviation of 0.75 minutes. For the 800-meter
Lilit [14]

Answer:

He performed better in the 800 m race

Step-by-step explanation:

Obtain the standardized score for each event :

Zscore = (score - mean) / standard deviation

1000 meter :

Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1

Zscore = (4.1 - 4.5) / 0.75

Zscore = - 0.4 / 0.75 = - 0.5333

800 meter :

Mean = 3.2 ; Standard deviation = 0.4 ; x = 3

Zscore = (3 - 3.2) / 0.4

Zscore = - 0.2 / 0.4 = - 0.5

-0.5 > - 0.533

Hence, he performed better in the 800 m race

3 0
3 years ago
Read 2 more answers
What is the valur of (16^3/2)^1/2 l? 8 64 256 4096
liq [111]
The answer is 8. Hopefully you wrote down the equation correctly.
4 0
3 years ago
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
liubo4ka [24]

Answer:

None of the options are correct

Step-by-step explanation:

Given

f(q) = q^2 - 125

Required

The roots of the function

Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0

f(q) = q^2 - 125 becomes

0 = q^2 - 125

Make q^2 the subject of formula

125= q^2

Rearrange

q^2 = 125

Take square roots of both sides

\sqrt{q^2}  = \sqrt{125}

q  = \sqrt{125}

Expand the square root of 125

q  = \sqrt{25 * 5}

q  = \sqrt{25} * \sqrt{5}

q = ±5 * \sqrt{5}

Split into 2

q  = 5 * \sqrt{5} or q  = -5 * \sqrt{5}

q  = 5  \sqrt{5} or q  = -5 \sqrt{5}

Hence, the roots of the quadratic function are q  = 5  \sqrt{5} or q  = -5 \sqrt{5}

5 0
3 years ago
Read 2 more answers
1. Solve the following equation. -5p = -75
aliya0001 [1]

Answer:

15

Step-by-step explanation:

-5 x 15 = -75

This is according to the rule -a ÷ a = -a and -a x a = -a. Where a negative divided/multiplied by a positive number equals a negative number.

-75 ÷ -5 = 15

-75 ÷ 15 = -5

6 0
3 years ago
F(ə) =
barxatty [35]

Answer: To get function g, shift f DOWN by 7 units and to the RIGHT by 2 units

Step-by-step explanation: g(x)= (x-2)^2-7 since they’re both negatives it should be the opposite. An example would be g(x)=(x+3)^2+5, f goes UP for positive by 5 units, left by 3 units.

5 0
2 years ago
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