To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function.

Is Shayla applying the vertical line test correctly?
No, because the y-axis is a horizontal line.
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.
Yes, because the y-axis represents all vertical lines of the x-values.

The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.

We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).

Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).

Now, q(x) = 0

i.e. x - 2 = 0

i.e. x = 2.

So, the zero of q(x) is 2, i.e. a = 2.

Then by the remainder theorem,

r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15

We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.

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answer:

x=74 y=27

steps:

triangle in the middle is

180-126 = 54

180-85 = 95

180-149 = 31

126=2x+1+31

126=2x+32

2x=94

x=74

126+2y=180

2y=54

y=27

Answer:

Step-by-step explanation:

Answer:

4xy(3a+2b+1)

Step-by-step explanation:

1)  Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?

It is 4.

2 -  What is the highest degree of [tex]a[/tex]  that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since a is not in every term.

3 -  What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is x.

4 - What is the highest degree of [tex]y[/tex]  that divides evenly into  12axy, 8bxy and 4xy?

It is y.

5 -  What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since [tex]b[/tex] is not in every term.

6 - Multiplying the results above,

GCF = 4xy

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]

3) Simplify each term in parentheses.

[tex]4xy(3a+2b+1)[/tex]

Answer:

Archimedes

Step-by-step explanation:

Archimedes is known as the Father Of Mathematics.

Answer:

Archimedes

Archimedes is known as the Father Of Mathematics

Step-by-step explanation:

Answer:102

Step-by-step explanation:

34 x 3 = 102

Answer:

102

Step-by-step explanation:

Since Jack has 34 toy cars and Mike has 3 times more than Jack's toys, we should multiply 34 with 3 to get the answer.

34 * 3 = 102

So, this means that Mike has 102 toy cars.\

Hope this helps :)

Answer:

Decreases

Step-by-step explanation:

A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.

No we cannot conclude that there is a difference between the population proportion of adults between the ages of 27 and 35 in the two cities.

For Seattle

66/200 = 0.33

For Minneapolis

63/180

= 0.35

We have to form our hypothesis

H0: p1 = p2

H1: p1 ≠ p2

We solve for the test statistic

z = (p1-p2)/√(p1*(1-p1)/n1+p2x(1-p2)/n2)

The calculation is given as -0.41

The excel output is given in the attachment

=-0.41

At a significance level of 0.1, the level of acceptance is at -1.645 and 1.645. The value of the test stat can be found here.

Since Z=-0.41 is between -2.58 and 2.58, we do not reject H0.

Hence we fail to reject the null hypothesis.

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Answer:

the largest is 014 because I did it and the teacher said it is correct

Step-by-step explanation:

teacher checked work

Answer: she would have 6 bottles left, (18/2)/6

Step-by-step explanation:

she has 18 bottles, when you divide it by two, she could give two bottles to 9 people. but, she only wants to give it to 6 friends. meaning that she would be left with 3 pairs of bubbles. as in, 6 bottles.

The probability of bringing an apple is 0.20

The distribution of the fruits is given as:

The probability of bringing an apple is:

P(Apple) = Apple/Total

This gives

P(Apple) = 3/(3 + 2 + 4 + 5 + 1)

Evaluate

P(Apple) = 0.20

Hence, the probability of bringing an apple is 0.20

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From the calculations, the height of the tower is 26.4 Km

If we know that the base of the tower is B and he top of the tower is T then to find the  shortest distance between the pilot and the base of the control tower;

Sin 41 = 10.5//BP/

/BP/ = 10.5/Sin 41

/BP/ = 15.9 Km

Now, the height of the control tower is obtained from;

First /AB/ = √(15.9)^2 - (10.5)^2

/AB/ = 11.9 Km

Given that;

Tan 36 = 10.5//BT/

/BT/=  10.5/Tan 36

/BT/=  14.5 Km

Hence the height of the tower is 11.9 Km + 14.5 Km = 26.4 Km

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A graph which represents the given system of inequalities is Graph C.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

Based on the graph for the given system of inequalities (see attachment), we can infer and logically conclude that Graph C best represents them.

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Answer: I dont really understand your questions

Step-by-step explanation: find the solution to your problem

Answer:

The responses for the seniors are reversed.

Hope this helped!

Answer:

24/x-8 = 4

Multiplying both the sides with x-8

24 = (x-8)*4

24 = 4x - 32

24 + 32 = 4x

56 = 4x

56/4 = X

14= X

Answer:

-64

Step-by-step explanation:

use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

-9(5 - 2) - 111÷3 =

-9(3) - 111÷3 =

-27 - 111÷3 =

-27 - 37 =

-64

Answer:

35, 31, 25, 18

Step-by-step explanation:

10 x 7/2 = 35

10 + 7 + 14 = 31

8 1/3 x 6/2 = 25

4 1/3 + 5 1/3 + 8 1/3 = 18

Let that be x

The number he chooses, in the beginning, was 888.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.

Let the unknown number be represented by x.

Therefore,

(x/8+8)8 = 952

x/8+8 = 119

x/8 = 119-8

x/8 = 111

x = 111(8)

x = 888

Therefore, the unknown number would be; 888.

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Answer:

see below

Step-by-step explanation:

Acid in = acid out             acid out = 10 liters of 20% = .2 * 10 = 2

x = 5% amount

10-x = 40% amount

.05x  + .40 ( 10-x) =   .20 (10)

.05x + 4 - .4x = 2

-.35x = -2

x = 5.7 liters   of 5 %        10 - 5.7 = 4.3 liters of 40%

Answer: 707 km/h

Step-by-step explanation:

let c = speed of current

16.5 + c = speed of sailboat downstream

16.5 - c = speed of sailboat upstream

distance = travel time * speed

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

2(16.5 + c) = 5(16.5 - c)

33 + 2c = 82.5 - 5c

7c = 49.5

c = 7.07 km/h

Answer:

g(-2) = 0
g(4) = -4

Step-by-step explanation:

-2 works in the second equation because it is within the restrictions, therefore it is 0.
4 works in the third equation because it is within those restrictions, therefor it is -4.

Answer:

true

Step-by-step explanation:

if you rewrite [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] with trigonometric identities:

[tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex]    [tex]=\frac{1}{\sin \left(x\right)}[/tex]

[tex]\frac{1}{\sin \left(x\right)}[/tex]  [tex]=\csc \left(x\right)[/tex]

so, yes,  [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex]  [tex]=\csc \left(x\right)[/tex]

hope this helps!!

Answer:

Your question does not make much sense but that was only because you were missing one variable which was 4.25 which was what you picked up on Saturday. but anyways you just add 7.75 and 4.25 and you'd end up with 12 so she has 12 pints of the blueberries she needs and to find out the remanding you just subtract from the 20.5 but its better to look at it like 20.50 because that's what it is and then you subtract 12 from 20.50 and you are left with 8.50.

Your answer is 8.5

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

On a graph, the solution to a system of equations is the set of points where the graphs of the equations intersect.

__

The graphs for this system of equations intersect at the point (0, -3). That point is the only solution for this system of equations.

The solution is (x, y) = (0, -3).

Answer:

The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. x + 3 is a factor in the first expressions is therefore used.

Step-by-step explanation:

Answer:[tex]x=-\frac{1}{3}, 4[/tex]

Step-by-step explanation:

Graphs intersect the x-axis where y=0, so we can set f(x)=0.

[tex]3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4[/tex]

Answer:

negative x intercept is at -1/3

positive x intercept 4

Step-by-step explanation:

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

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[tex]\large \bold {ANSWER}[/tex]

9% of the family income is being spent to pay the energy bill.

[tex]\large \bold {SOLUTION}[/tex]

If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.

To solve, we will use the simple rule of three like this:

With this we will multiply the denominator of one with the numerator of the other, being:

Knowing this, we will solve it this way:

To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.

And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.

We can conclude that the amount spent to pay the energy bill is equivalent to 9% of the family income.

Answer:

x<2 or x ≥ 15/2

Step-by-step explanation:

Answer:

all I know is the second on about world population in 2014 which was c

7•10⁹

Answer:

B

B

Step-by-step explanation:

there are 9 steps for the second question so it 10^9

and if you times the 1st population size by 20 you get very close to the second population size.