Solve each equation if [tex]f (x) = 2x^{2} - 2[/tex] and [tex]g(x) = 6x + 3[/tex]

Answer:

Renee spent 1/2 of the time she spent landscaping pulling weeds, which is 1/2 * 1/8 = 1/16 of the day. Therefore, Renee spent 1/16 of the day pulling weeds.

Answer:

Step-by-step explanation:

The Length of shadow  is 35.56 ft.

Given that,

If the sun is 68° above the horizon.

Based on the above information, the calculation is as follows:

tan68° =BC divide AC

tan68° =88 divide b

b =88 divide tan68°

=88 divide 2.475

= 35.56 ft.

Answer:

76 don't know how to explain it

Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.

A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.

given

7y = -4x + 28

For (3,-6)

7(-6) + 4( 3) = 28  

-42 + 12 = 28

no

For (5,0)

7(0)+4(5)= 28  

= 20

no

For (0,4)

7(4)-0=28  

Yes

For (-4,-5)

7(-5)+4( - 4)= 28

no

For (-5, 1)

7(1)+4(-5)=28

No

For (-6,3)

7(-6)+4(3)= 28

No

hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.

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The percentage of the total marks that Edet gets is 60%

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this situation, the score of Edet will be:

= 48 + 52 + 46 + 46 + 44 + 52

= 288

Total score = 80 × 6

= 480

The percentage will be:

= 288 / 480 × 100

= 60%

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Answer: it depends on the number you took

Step-by-step explanation:

Answer: 121%

Step-by-step explanation:

move the decimal place two to the right

Answer: 5:3

Step-by-step explanation:

note: 16 ounces= one pound          
6 ounces = ?

∴6 ounces = pounds

48 cents = pounds

multiplying both sides by 

108 cents = 1 pound in the new price

= $1.08 in the new price 

ratio of old price to new price = 

therefore ratio of old to the new price = 5:3

The requried other factors of the given function are (x - 2) and (x - 3).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
=  [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)

Thus, the requried other factors of the given function are (x - 2) and (x - 3).

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The expression does not represent next year's population is 0.991. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the population of a city decreases by 0.9% per year. The expression for the population depreciation is,

Population = ( 100% - 0.9%)P

Population = (1 - 0.009)P

Population = 0.991P

Hence, the expression not representing the depreciation is 0.991.

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Answer:

-7

Step-by-step explanation:

-2(x+5)=4

First, distributive property,

-2x-10=4

Add 10 to both sides,

-2x=14

Divide both sides by -2

-7

The ratios which are equivalent are as follows:

1) 16:4

4) 480:120

6) 4:1

Step-by-step solution:

1) 16:4

[tex]=\frac{16}{4}[/tex]

[tex]=\frac{4}{1}[/tex]

4:1

2) 2:1

[tex]=\frac{2}{1}[/tex]

2:1

3) 32:2

[tex]=\frac{32}{2}[/tex]

[tex]=\frac{16}{1}[/tex]

=16:1

4) 480:120

[tex]=\frac{480}{120}[/tex]

[tex]=\frac{4}{1}[/tex]

=4:1

5) 4:16

[tex]=\frac{4}{16}[/tex]

[tex]=\frac{1}{4}[/tex]

=1:4

6) 4:1

[tex]=\frac{4}{1}[/tex]

=4:1

Therefore, the correct solution to this question is:

1) 16:4

4) 480:120

6) 4:1

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Answer:

16:4 and 480:120 and 4:1 are equivalent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(49/72)-(13/14)

-125/504

The percentage of the exam that she has taken is 75%.

Percentage is a measure of frequency that is used to express the ratio of an amount as a number out of 100. The sign that is used to represent percentage is %.

In order to convert a number to percentage, multiply the number by 100. In order to determine the percent of exams that she has taken, multiply the ratio of exams taken and the total number of exams by 100.

Percent of the exams she has taken = (number of exams taken / total number of exams) x 100

Percent of the exams she has taken = (27 / 36) x 100

Percent of the exams she has taken = 75%

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The null hypothesis is rejected.

The mean is not greater than $175.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

Sample size (n) = 6

Sample mean ([tex]\bar x[/tex]) = $80

Sample standard deviation(s)=6.3

Significance level(α)=0.05

We have to test the claim that the true mean greater than $175.

The null and alternative hypotheses:

H₀ : μ = 175

H₁ : μ > 175

Here, Population Standard deviation is unknown and sample size is less than 30.

So we will use t- distribution.

Test Statistic t,

t   = ([tex]\bar x[/tex] - μ) / {s/√n}

t  =  (80−175) / (6.3 /√6)

t   =  (80−175) / (6.3 / 2.45)

t  = − 95 / 2.57196423

t = −36.937

degree of freedom (df) = n−1

                                     = 6−1

                                     = 5

p-value at  t = −36.937, df = 5 and α = 0.05

Absolute value of −36.937 = 36.937

Notice that 36.937 does not show up in the table, but it does fall between the two values 31.821 and 63.657.

So, p-value = 1

Since, p-value > α

That means, we fail to reject the null hypothesis (H₀).

Therefore, the true mean is not greater than $175.

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Clearly f(x) is one-one onto function so it is invertible so  ƒ(x)  is y + -5 /3.

Each element of one set, let's say Set (A), is mapped with a particular element of another set, let's say Set (B), where A and B are two separate sets. This is known as a one-to-one function or one-to-one mapping. 1-1 is another way to write it. If f(x) = f(y) means that x = y, then f is one to one in terms of function.

Let  y = f(x) = -3x + 1

Clearly f(x) is one-one onto function so it is invertible.

⇒y = -3x − 1 ⇒ x = y+1 /-3

​∴f (x)= -5

y + -5 /3

Clearly f(x) is one-one onto function so it is invertible so  ƒ(x)  is y + -5 /3

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The side lengths are;

tan x = e/f

cos x = e/d

sin x = f/d

We know that a right angled triangle is the kind of triangle that one of the sides of the triangle would be 90 degrees.

There are some ratios that are associated with the right angled triangle and we call them the trigonometric ratios. These include the sine the cosine and the tangent. All of these ratios does depend on the lengths of the sides of the right angled triangle.

The sides of the right angled triangle are the opposite, the adjacent and the hypotenuse and these can be obtained based on the relative position of the angle.

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Answer:-12.168

Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8

Answer: x=5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable (x)

Answer:

157.08 is the circumference. Hope it helps you

Step-by-step explanation:

y2-y1/x2-x1

= (-1-3)/(5+1)

= -4/6

= -2/3

y = -(2/3)x + c

3 = (2/3) + c

c = -2/3 + 3

c = -2/3 + 9/3

c = -7/3

y = (2/3)x + (7/3)

Answer: 4

Step-by-step explanation:

Let me get to know you:)

Answer:

7/8 = 87.5%

Step-by-step explanation:

You have only one of eight (1/8) evenly divided sections that is orange. The rest is not orange (1 - 1/8 = 7/8).

Therefore, spinning once will yield 7/8 odds of not landing on orange, or 0.875 or 87.5%.

The probability of not getting orange is 87.5%. The correct option is C.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.

Probability = Number of favourable outcomes / Number of samples

Given that a spinner with repeated colours numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

You only have one of eight (1/8) evenly divided orange sections.

The rest is not orange,

P = (1 - 1/8

P =  7/8

P = 87.5%

Therefore, spinning once will yield 7/8 odds of not landing on orange or 0.875 or 87.5%.

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Answer:

f(x)= 2x-9

f(-2)= 2(-2)-9

f(-2)= -4-9

=-13

On solving the provided question, we can say that -  here in graph we have on solving equation  [tex]2x^2+ 9y^2 \\[/tex] = [tex]8 + 9 = 17[/tex]

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

[tex]2x^2+ 9y^2 \\[/tex]

[tex]8 + 9 = 17[/tex]

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Answer: The area of the tiny house can be represented by multiplying the length of the house by the width. Since the width of the kitchen is 3 feet, and the width of the remaining living space is 12 feet, the total width of the house is 3+12 = 15 feet.

So the area of the tiny house is 25 ft * 15 ft = 2515 = 375 sq ft.

The expression that correctly represents the area of the tiny house is 25 * 15 =375.

So the correct answer is 2515 = 375 ft^2

The other expressions you gave are not the correct representation of the area of the house

3(12+25) = 3 * 37 = 111 ft^2

25-3+12 = 25 - 3 + 12 = 34 ft^2

25(3+12) = 25 * 15 = 375 ft^2

3-12 +25 = 3 - 12 + 25 = 16 ft^2

25 ft , 3 ft and 12 ft are not represent the area of the house.

Step-by-step explanation:

According to the question the angle between right angle triangle hence the   M∠1 = [tex]90^{0}[/tex] .

90 degrees or a straight angle is always one angle. The hypotenuse is the side that has an angle of 90° on it. Always, the hypotenuse is the longest side. The remaining two inner angles add up to a total of 90°.

Right triangles are triangles with one of the internal angles at a right angle of 90 degrees. Since a triangle's three interior angles sum up to 180 degrees, a right triangle's three interior angles must always add up to 90 degrees since one of them is always 90 degrees (they are complementary).

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Answer:

There are 5 people working and each person works 8 hours per day, so there are a total of 58 = <<58=40>>40 hours of work per day.

Over the course of the week, the total number of hours worked is 405 = <<405=200>>200 hours.

The total number of toys assembled is 400 and the total number of hours worked is 200, so the average number of toys assembled per hour per person is 400/200 = <<400/200=2>>2 toys per hour per person.      Answer:{2}.

Step-by-step explanation:

The statements in if-then form are given as follows:

If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.

If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.

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