Which of the following statements must be true?

Answer:

x = -5, 5

Step-by-step explanation:

Step 1: Write out equation

-x² - 8 = -33

Step 2: Add 8 on both sides

-x² = -25

Step 3: Divide both sides by -1

x² = 25

Step 4: Take square root on both sides

x = ±5

Step 5: Arrange

-5 < 5

So x = -5, 5

Answer:

Option B - 35.4 VAC

Step-by-step explanation:

Formula for peak voltage is;

V_p = V_rms × √2

Making V_rms the formula, we have;

V_rms = (V_p)/√2

We are given:Peak voltage: V_p = 50 VAC

Where 50 VAC means 50 Volts AC power

Thus;

V_rms = 50/√2

V_rms ≈ 35.4 VAC

So option B is correct

Answer:

39 hours

Step-by-step explanation:

Mary earns an hourly wage of $13

plus a $90 bonus.

Her total paycheck shows she received $597

Subtracting the bonus we get;

$597 - $90 = $507

1 hour -> she gets $13

how many hours will she get $507

Cross multiplying gives;

[tex]\frac{507}{13} * 1 = 39[/tex] hours

Answer:

Step-by-step explanation:

$597 - $90 = $507     - payment for hours only

507÷13 = 39

Answer:

Real:

Imaginary:

Complex:

Step-by-step explanation:

A real number is a number that exists in real life.

An imaginary number is a number that doesn't exist, hence it has the letter i in it.

A complex number consists of a real number and an imaginary number.

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Answer:

A. Jada drank less water than Elena

B. Lin drank more water than Elena

Step-by-step explanation:

Elena drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

A. Did Jada drink more or less water than Elena?

B. Did Lin drink more or less water than Elena?

Elena drank 3 liters of water

Jada drank 3/4 times as much water as Elena.

Lin drank twice as much water as Jada

Elena = 3 liters

Jada = 3/4 × Elena

=3/4 × 3

=9/4 liters

=2 1/4 liters

=2.25 liters

Lin=2×Jada

=2×9/4

=18/4

=4 2/4

=4.5 liters

Did Jada drink more or less water than Elena?

A. Jada drank less water than Elena

Because 2.25 liters is less than 3 liters

B. Lin drank more water than Elena

4.5 liters is greater than 3 liters

Answer:

[tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex]

Step-by-step explanation:

The distance around the rectangle is also known as the perimeter of the rectangle.

The formula for the perimeter of a rectangle is 2l+2w.  

The width of this rectangle is 3 1/5 feet and the length of this rectangle is 6 2/3 feet, so plug into the perimeter formula:

P=2l+2w

=2(6 2/3)+2(3 1/5)

=2(20/3)+2(16/5)

=40/3+32/5

--(LCD is 15)

= 5/5(40/3)+3/3(32/5)

=200/15+96/15

=296/15 or 19 11/15 feet

The distance around the rectangle is about [tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex].

Answer:

Mean: 8,75

Median: 7,5

Step-by-step explanation:

To find Mean

To find the mean data you have to put data all set in order:

3, 4, 6, 6, 9, 12, 15, 15

Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:

3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70

There are 8 numbers in the data so divide 70 by 8:

70 ÷ 8 = 8,75

----

To find Median

The median is in the middle number of the data that already in order. Which is number 6 and 9.

Median = (6 + 9) ÷ 2

Median = 15 : 2

Median = 7,5

An integer is a number.

A. Your grandmother gave you. $10, the integer is 10

B. You spent $4 on snacks, the integer is 4

C. Subtract the amount spent from the amount you had:

10-4 =

D. 10-4 = 6, you have $6 left.

Answer:

Hey there!

Let x be the money you have.

Then, we can write x≥5, which shows that you have at least 5 dollars.

Hope this helps :)

Answer:

p-5 where p represents your pay

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

QC=2x

RC=3x

QR=15

THEREFORE,

QC+RC=QR

=>2x+3x=15

=>5x=15

=>x=15/5

=>x=3

Answer:

Subtraction property of equality

Step-by-step explanation:

[tex]x+1=-2\\[/tex]

Move 1 to the [tex]x = -2-1\\simplify\\\\x = -3[/tex]right and change its sign

Answer:

Last one

Step-by-step explanation:

Gabriella's step is justified by the substraction property of equality.

● x + 1 = -2

Gabriella substracted 1 from both sides

● x + 1 - 1 = -2 - 1

● x = -3

Answer:

2

Step-by-step explanation:

27*1=27

3*9=27

Answer:

b = c(5 - a)

Step-by-step explanation:

Given

a + [tex]\frac{b}{c}[/tex] = 5 ( subtract a from both sides )

[tex]\frac{b}{c}[/tex] = 5 - a ( multiply both sides by c to clear the fraction )

b = c(5 - a)

The value of b form the equation a + b/c = 5  will be b = c(5 - a)

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

Given;

a + b/c = 5

subtract a from both sides;

b/c  = 5 - a

multiply both sides by c to clear the fraction;

b = c(5 - a)

Hence, The value of b form the equation a + b/c = 5  will be b = c(5 - a)

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

Answer:

Step-by-step explanation: 0 because it is not considered a natural number.

Answer:

2(2x - 5)(2x + 5)

Step-by-step explanation:

[tex]8x^{2} -50[/tex]

First pull out 2.

2[tex](4x^{2} -25)[/tex]

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4[tex]x^{2}[/tex] + 10x - 10x - 25

4[tex]x^{2}[/tex] - 25      Can't forget to multiply by 2!

2 (4[tex]x^{2}[/tex] - 25 )

8[tex]x^{2}[/tex] - 50

Answer:  translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C)  horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

Answer: C

Step-by-step explanation:

Translation 8 units to the right

Answer:

Laura wants to buy a coffee mug in a shop. She has x dollars, which isn't enough to pay for the coffee mug. As a solution, she asks her friend to help pay for the coffee mug. Her friend contributes 11 dollars in addition to Laura's x dollars, and luckily, her 11 dollars either add up to 23 or exceed it.

Answer:

21

Step-by-step explanation:

Since AC = AB + BC

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

BC = 3x + 6 = 3*5 + 6 = 21

The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:

Given:

[tex]\bold{ 7-24\div 8\times 4+6}[/tex]

To find:

Simplification=?

Solution:

Using BODMOS rule

[tex]\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\[/tex]

Therefore, the final answer is "-11".

Learn more:

brainly.com/question/1661958

Answer:

In order from smallest to largest:

g(x)=(1,-2)

now, f(x) and h(x) would reach the same height, so from left to right on the graph, if plotting all vertices:

h(x)=(-2,2)

f(x)=(4,2)

Step-by-step explanation:

f(x)

f(x)=-2(x-4)^2+2

This is the vertex form of a quadratic equation:  The formula used is f(x)=a(x-h)^2+k, where (h,k) is the vertex.  In this case, 4 is h and 2 is k, so the vertex of this equation is (4,2).

g(x)

g(x)=5x^2-10x+7

To find the vertex of a quadratic equation in standard form, you first have to find the x-coordinate of the vertex using the formula, -b/2a.  In this equation, a=5 and b=-10, so plug into the formula: -(-10)/2(5)=10/10=1, so the x-coordinate of the vertex is 1.  Now to find the y-coordinate of the vertex by plugging in the x-coodinate for x in the equation: 5(1)^2-10(1)+7=5(1)-10+7=5-10+7=-5+7=-2, so your y-coordinate is -2.  Therefore, your vertex for this equation is (1,-2).

h(x)

So, this quadratic function is in the form of a graph.  The vertex of the graph is the maximum of minimum value of the graph, depending on whether the graph is positive or negative.  In this graph, it is the maximum point, which is (-2,2).

Answer:

A die is thrown which means that it can land on either 1-6 on the die.So if you want to find the probability of the multiple of 2 or 3....we have multiplies of 2 in the die from 1-6 which is 2,4 and 6 if you count them they are just 3 numbers and since there is a probability of it to land on any of them it will be 3/6 which is 1/2 if yiu divide by 3 to it's lowest term....Then multiple of 3 is 3,and 6.which will be 2/6 which is 1/3 if u cut to its lowest term. Or in the question means addition sign in probability then it is 2 or 3 which is (1/2)+(1/3)=5/6.Thank you for the question

Answer: D) neither

Step-by-step explanation:

If you plug in any of the given coordinates, the answer is always incorrect

Answer:

3 liters is equvilent to 6.34 pints

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

3 square ft

Answer:

36/16, 36:16, 36 to 16

Step-by-step explanation:

all above are correct

you can write ratios 3 different ways

Answer:

3y+x = 3

Step-by-step explanation:

for the point ( 3,0)

x=3 , y= 0

the equation for the line is given as

y-y1= m(x-x1)

for perpendicular ,

m= -1/x

so

y-0 = -1/3(x-3)

3y= -x +3

3y+x=3

Answer: 5x - 3y = 15

Step-by-step explanation: was correct on edge test.

We start off with 50 as our room temperature.

Then we subtract off 4h to indicate the temperature drops 4 degrees per hour

You can think of it like this

1 hour = drop by 4 degrees

h hours = drop by 4h degrees (multiply both sides by h)

So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after

Solving for h leads to

50-4h < 32

-4h < 32-50 ... subtract 50 from both sides

-4h < -18

h > -18/(-4) ... divide both sides by -4; note the inequality sign flips

h > 4.5

If you go beyond 4.5 hours, then the temperature will be below 32 degrees

notes:

After 1 hour 46

After 2 hour 42

After 3 hour38

After 4 hour 34

After 4 (1/2) hour 32

Answer:

The number before a variable. For example, 4x. 4 would be the coefficient, and x would be the variable.

Answer:

A numerical or constant quantity placed before and multiplying the variable in a algebraic expression

Hello there! :D

Well, it is a general rule of thumb that growth is indicated by positive numbers, and decay is indicated by negative numbers. I would show decay in this exponential equation by making the percentage inside the parenthesis negative. It would look like this: y=4800(-1.239)

Obviously, this equation does not have a negative integer so we know it must constitue growth!

I hope this helped you and that you have a wonderful day,

Kai xx