Justin needs to earn a score of more than 80 on his next math test to earn a B for the semester. Which inequality shows the grades that will allow Justin to earn a B? Please answer!

Answer:

The equation of the line is:

[tex]y = -\frac{3}{2}x - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope:

We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So

Change in y: -5 - 1 = -6

Change in x: 2 - (-2) = 2 + 4 = 4

Slope: [tex]m = \frac{-6}{4} = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + b[/tex]

Passes through (-2, 1)

This means that when [tex]x = -2, y = 1[/tex]. We use this to find the y-intercept. So

[tex]y = -\frac{3}{2}x + b[/tex]

[tex]1 = -\frac{3}{2}(-2) + b[/tex]

[tex]1 = 3 + b[/tex]

[tex]b = -2[/tex]

So, the equation of the line is:

[tex]y = -\frac{3}{2}x - 2[/tex]

Answer:

x=30

Step-by-step explanation:

Since this a regular hexagon, each angle measure is congruent.

A hexagon interior angles add to be

([tex]{6 - 2}) \times 180 = 720[/tex]

However, in the triangle, only part of angle b and angle f is in the triangle. However angle a is fully in the triangle so

Angle A=120.

So using the triangle interior theorem, angle b and f must add up to 180.

[tex]120 + x + y = 180[/tex]

However, since this is a regular hexagon, the sides are equal so this is a isoceles triangle.

Using the base isoceles triangle theorem, angle b and angle f of the triangle must be equal so

[tex]x = y[/tex]

[tex]120 + 2x = 180[/tex]

[tex]2x = 60[/tex]

[tex]x = 30[/tex]

======================================================

Explanation:

A = {1,2,3}

B = {2,3,5}

A u B = {1,2,3,5}

The set A u B consists of anything in either set A or set B. This is a set union.

The complement of this is the complete opposite. So we only consider the items 4 & 6

(A u B)' = {4,6}

Note that sets AuB and (AuB)' can be unioned together to end up with the universal set U. Be sure not to mix up the universal set notation U with the union symbol 'u'

The last step is to see what sets (AuB)' and set C have in common. That would be 4 and 6 since both values are found in both sets

Therefore, (A u B)' n C = {4, 6}

The n refers to the intersection symbol.

Answer:

[tex] {h}^{2} ( \frac{2k}{5} ) = 32 \\ 2k. {h}^{2} = 160 \\ k {h}^{2} = 80[/tex]

[tex]k=\frac{80}{h²}[/tex]

Answer:

60

Step-by-step explanation:

There are 12 months in a year, so 5 years×12 months=60 months.

**You may wish to revise multiplication or the calendar year. I'm always happy to help

Answer:

60

Step-by-step explanation:

Answer:

FD = 8

Step-by-step explanation:

since they are similar triangle .use these ratios to find FD

AB/DE = AC/FD

now substitute the values

6/x-3 = 12/x+1

do cross multiplication

12(x-3) = 6(x+1)

12x - 36 = 6x + 6

12x - 6x = 6 + 36

6x = 42

x = 42/6

x = 7

now substitute x

FD = x + 1

=7 + 1

=8

Answer:

a. x × (y + z) = -13/240

c. x × (y × z) = 1/24

Step-by-step explanation:

The given values of the variables are;

[tex]x = \dfrac{-1}{8} , y = \dfrac{-2}{5} \ and \ z = \dfrac{10}{12}[/tex]

a. x × (y + z) = (x × y) + (x × z), by distributive property

Plugging in the values gives;

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right)[/tex]

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \dfrac{-1}{8} \times \left (\dfrac{13}{30} \right) = \dfrac{-13}{240}[/tex]

[tex]\left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{1}{20} + \dfrac{-5}{48} = \dfrac{-13}{240}[/tex]

Therefore;

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{-13}{240}[/tex]

c. x × (y × z) = (x × y) × z

Plugging in the values for 'x', 'y', and 'z' gives;

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} \times \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) \times \left ( \dfrac{10}{12} \right) = \dfrac{1}{24}[/tex]

Answer:

(y-p)/2

Step-by-step explanation:

take p to the left side. + p becomes - p. Now divide the whole thing by 2

Answer:

[tex] x = \frac{y - p}{2} [/tex]

Step-by-step explanation:

[tex]y = 2x + p \\ y - p = 2x \\ x = \frac{y - p}{2} [/tex]

Answer:

[tex]{ \boxed{ \tt{4x + 4x \: → \: 8x}}} \\ \\ { \boxed{ \tt{3x + 5x + 8 \:→ \: 8x + 8 }}} \\ \\ { \boxed{ \tt{ - 7x + 4 + 3x \: → \: - 4x + 4}}} \\ \\ { \boxed{ \tt{4x + 4x + 4x + 4x \: → \: 16x}}}[/tex]

Answer:

4x + 4x → 8x

3x + 5x + 8 → 8x + 8

-7x + 4 + 3x → -4x + 4

4x + 4x + 4x + 4x → 16x

Step-by-step explanation:

The left side consists of a series of expressions and the right side is the list of choices to match to. This is simple math if you already know how to combine like terms. Combining like terms is combining numbers that represent the same value. Take a look at 4x + 4x for example, 4x and 4x are two numbers with the same value. Not that they both have the number 4, but that they have the same special variable. If there are two or more numbers with the same variable like x for example, combine the two, meaning you add the numbers. Just don't add the variables because clearly, the variable is an unknown number so you can't add variables. Instead, you can apply the same variable to the sum of two or more numbers. So 4x + 4x equals 8x. Do the same process again to the other 3 expressions. Also, you can't add a number with a variable to a number alone. They don't represent the same value.

3x and 5x are the same value so combine them. Now you only have 8x + 8 left as the simplified version of the expression.

-7x and 3x are the same value so combine them. Don't forget that the 7 is negative. Use a calculator if needed. Now you only have -4x + 4 as the simplified version of the expression.

Similar to 4x + 4x in the first expression, just add all of the numbers up. There isn't a number alone in this expression. 16x should be your final answer.

I hope this helps! Let me know if I am wrong. :D

Answer:

$19.53

Step-by-step explanation:

$20 - 0.1(20) = 20 - 2 = 18

18 + 0.085(18) = 18 + 1.53 = 19.53

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]

Plug in known values

[tex]\frac{2}{300}=\frac{11}{AC}[/tex]

Cross-multiply

[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

Answer:

I think it's A, because all triangles have 3 vertices.

Step-by-step explanation:

Answer:

b = -4

Step-by-step explanation:

multiply both sides by 3 to get:

4b-8 = 6b

-8 = 6b-4b

-8 = 2b

-8/2 = b

-4 = b

Answer:

D

Step-by-step explanation:

I checked it on desmos and also the shift is 1 up that means subtracting from a larger number

Answer: d

Step-by-step explanation:

Answer:

{-2, -1 , 3}

Step-by-step explanation:

When we have a set like:

{x₁, x₂, x₃}

The mode is the value that appears the most, so if there is no mode, then each value appears just one time.

The median is the middle value, here we know that the median is -1, then we can rewrite the set as:

{x₁, -1 , x₃}

The mean is computed as:

Mean = (x₁ + x₂ + x₃)/3

in this case we know that the mean is 0, then:

0 =  (x₁ + x₂ + x₃)/3

then the numerator must be zero, so:

0 =  (x₁ + x₂ + x₃)

replacing the value of x₂ = -1 we get:

0 = (x₁ - 1 + x₃)

where:

-5 < x₁ < -1 < x₃ ≤ 3

Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.

here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).

then:

0 = x₁ - 1 + 3

Now we can solve this for x₁

0 = x₁ + 2

-2 = x₁

Then the set is:

{-2, -1 , 3}

Answer:

A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level

Step-by-step explanation:

The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees

The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure

The 95% confidence interval obtained = (5.6, 10.2)

Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program

Answer:

3x(3x³ + 8x² – 9x + 4)

Step-by-step explanation:

9x4 + 24x3 - 27x2 + 12x =

9x⁴ + 24x³ – 27x² + 12x =

3(3x⁴ + 24x³ – 27x² + 12x) =

3x(3x³ + 24x² – 27x + 12).

3x³ + 24x² – 27x + 12 cannot be factored

[rational numbers].

Answer:

each t-shirt costed 22 dollars

48+ 5(x)=158

Step-by-step explanation:

158-48=110

110 divided by 5= 22

hope this helps!

please give brainist or give me a  follow if you can<3

Answer:

D.

Step-by-step explanation:

a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

The answer is D.

Step-by-step explanation:

Answer:

How many people in the survey were Californians?

- 250

Yes, because 50% of Californians support candidate X, but only 40% of all people support him.

Yes, because 62.5% of people who support candidate X and 50% of Californians do not support candidate X.

Answer:

Which polynomial is a monomial?

O A. 2p-P

O B. 6 - 2x2 - 4x2 +45

O c. 5r283A

O D. 1 - 2x + 5x

. 5r283A

Answer:

624,600

Step-by-step explanation:

624,612

612 rounds to 600

624,600

Answer:

624,600

Step by step explanatiom:

cause math

Answer:

1/2

Step-by-step explanation:

there is a total of 12 people

6/12 people have red hair

if you simplify, it is 1/2

therefore there would be a 1/2 chance that someone with red hair would be chosen.

Answer:

6

Step-by-step explanation:

I may be wrong.

If I am, delete this answer.

If it's right, please mark it as the Brainliest. I would really appreciate it.

The total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

Geometry is one of the earliest areas of mathematics, along with algebra. It is concerned with spatial qualities such as figure proximity, form, size, and relative location. A geometer is a mathematics who works in the discipline of geometry.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

In the given diagram, the upper part of the triangular pyramid has 3 corners and the lower part of the triangular pyramid has 3 corners.

Then the total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

53/6  = 8.83

Step-by-step explanation:

2 x -7 = -14

-62 / 12 = -5.16667

-5.16667 - (-14) = 8.83333

Final answer: 8.83

I hope this helps you! :D

Answer:

use pamdas

Step-by-step explanation:

the answer I got using pemdas was 8.83

Answer:

Given:

Initial mass = 18 g

k-value = 0.1226

The mass at time t (days) is

At half life, m = 18/2 = 9 g.

The time for half life is given by

Therefore

ln(1/2) = -0.1226t

Hence obtain

t = ln(1/2) / -0.1226

 = 5.654 days

Answer: 5.7 days (nearest tenth)

or

For this problem, we use the formula for radioactive decay which is expressed as follows:

An = Aoe^-kt

where An is the amount left after time t, Ao is the initial amount and k is a constant.

We calculate as follows:

A0 = 18

An = 18/2 = 9

k = 0.125

9 = 18 e^-0.125t

0.5 = e^-0.125t

t = 5.55 days

Answer:

39229.25

Step-by-step explanation:

Answer:

39229.25

Step-by-step explanation:

Calculator

Answer:

Step-by-step explanation: