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melomori [17]
1 year ago
14

4 What is the number if 61 is 3 less than 8 times the number?

Mathematics
1 answer:
Mrrafil [7]1 year ago
8 0

If 61 is less than 8 times the number then the number is 8.

Given 61 is 3 less than 8 times the number.

Let the number be 'x'.

The term "polynomial" in mathematics refers to a mathematical statement that consists of two or more algebraic terms that are added, subtracted, or multiplied (no division!). Constants and positive exponents are frequently used, together with at least one variable, in polynomial formulas.

we can write the equation as:

8x ₋₋ 3 = 61

arranging the like terms i.e constants.

8x = 61 ₊ 3

8x = 64

to find the value of x, divide 64 by 8.

x = 64 ÷ 8

x = 8

hence the number we get after solving the equation is 8.

Learn more about Polynomials here:

brainly.com/question/1487158

#SPJ9

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Which is the vertex of x^2 + 10x = - 17?
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Answer:

(-5, -8)

Step-by-step explanation:

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).

x^2 + 10x = - 17

x^2+10x+17=0

x^2+2*5x+25 - 8=0

(x+5)^2-8=0

h=-5, k= -8

vertex is (-5, -8)

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2 years ago
Write the equation of the line that passes through the points (2 , -1) and has a slope of - 3​
svetlana [45]

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=slope or gradient (=-3)

y=-3x+b  

Add your points

(2, -1)

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5 0
2 years ago
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Find the value of y. this is dud tdy help plss
spin [16.1K]

Answer:

y is B. 82 degrees (and for extra, x is 54 degrees)

Step-by-step explanation:

The angles shown are complementary, which means they equal 180 degrees. Subtract 73 from 180 to get 107 degrees for the other angle in this set. After that subtract 25 from 107 to get y, which is 82 degrees.

(For x, just subtract 19 from 73 to get 54 degrees.)

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Soccer balls are on sale at Mr. Hawk's sport store from April to July. Mr. Hawk sells six dozen soccer balls in April. Mr. Hawk'
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3 years ago
The distribution of speeds on a particular highway has a mean of 60 mph with a standard deviation of 10 mph. The distribution of
PSYCHO15rus [73]

Answer:

a) At least what percentage of cars is traveling between 40 and 80 mph?

75%

b) At least what percentage of cars is traveling between 20 and 100 mph?

93.75%

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

30 cars.

Step-by-step explanation:

We apply Chebyshev's Theorem

This states that:

1) At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

2) At least 8/9 (88.89%) of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

3) At least 15/16 (93.75%) of data falls within 4 standard deviations from the mean - between μ - 4σ and μ + 4σ.

From the question, we have:

Mean of 60 mph

Standard deviation of 10 mph.

a) At least what percentage of cars is traveling between 40 and 80 mph?

Applying:

Applying the first rule: At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

μ – 2σ

60 - 2(10)

60 - 20

= 40 mph

μ + 2σ.

60 + 2(10)

60 + 20

= 80 mph

Hence, at least 75% of cars is traveling between 40 and 80 mph.

b) At least what percentage of cars is traveling between 20 and 100 mph?

At least 15/6 (93.75%) of data falls within 4 standard deviations from the mean - between μ – 4σ and μ + 4σ.

μ – 4σ

60 - 4(10)

60 - 40

= 20 mph

μ + 4σ.

60 + 4(10)

60 + 40

= 100 mph

Hence, at least 93.75% of cars is traveling between 40 and 80 mph.

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

Since we know from question a) that

at least 75% of cars is traveling between 40 and 80 mph.

Given a sample of 40 cars:

75% of 40 cars

= 75/100 × 40

= 30 cars.

The number of cars that are traveling between 40 and 80 mph is 30 cars.

5 0
2 years ago
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