what is the Variable in
3x + 7

Answer:

[tex]y=\frac{1}{3}x +5[/tex]

Step-by-step explanation:

Linear equations are typically formatted in slope-intercept form:

[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

Parallel lines will always have the same slope. Therefore, this line will also have a slope of [tex]\frac{1}{3}[/tex]. Plug this into our equation:

[tex]y=\frac{1}{3} x+b[/tex]

2) Determine the y-intercept (b)

To solve for the y-intercept (b), plug the given point (-3,4) into our equation and isolate b.

[tex]4=\frac{1}{3}(-3)+b\\4=\frac{-3}{3}+b\\4=-1+b[/tex]

Add 1 to both sides

[tex]4+1=-1+b+1\\5=b[/tex]

Therefore, the y-intercept is 5. Plug this back into our original equation with the slope:

[tex]y=\frac{1}{3}x +5[/tex]

I hope this helps!

The maximum height that the ball will reach is the one in the third option, 1,024 feet.

We know that the height is modeled by a quadratic function:

H = -16t² + 64t + 960.

Where t represents the time in seconds, and H is the height in feet.

To find the maximum height we need to find the vertex of the quadratic, in this case, the vertex is at:

t = -64/2*-16 = 2

Evaluting there we will get:

H(2) = -16*2² + 64*2 + 960 = 1,024

That is the maximum height that the ball will reach.

Learn more about quadratic equations:

https://brainly.com/question/1214333

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Answer:

The answer is below

Step-by-step explanation:

a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:

x = (x₁ + x₂)/2;     y = (y₁ + y₂) / 2

Since M(x, y) is the midpoint of AB, then the coordinates of M is:

x = (0 + 5) / 2 = 2.5;     y = (1 + 0)/2 = 0.5

M = (2.5, 0.5)

b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.

Let O(x, y) be the center of gravity of triangle ABC, hence;

x = (0 + 5 + 4) / 3 = 3

y = (1 + 0 + 2) / 3 = 1

O = (3, 1)

Answer:

(-7-2)....................hope this helps

Answer: 590

Step-by-step explanation: 17$ is 17% and times that by 3 because of the 3 weeks, then you have 68$ and I just added 300 to the rest and then just subtracted 68$

What can I say exept your not welcome :D

Answer:502.4 Square inches are need.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

11 people were given 15% off in the afternoon

11 is the lowest number in the entire chart

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

on edge 2021

Answer:

we can simplify this and get 7x^3 -5x^2 + x +2

Step-by-step explanation:

Answer:

Step-by-step explanation:

12.8 feet

Answer:

The mass of the piece of granite with volume of 75 cm^3 is 202.5 grams.

Step-by-step explanation:

Let

m = the mass of a piece of granite whose volume is: 40 + 35 = 75 cm^3 (greater by 35 cm^3)

Since Density = Mass / Volume and we are talking about pieces of the same material (same density) we can write:

m/75 = 108/40

m = 202.5 g

Answer:

They will both blink again at 3:12 pm.

Step-by-step explanation:

As indicated by the question, the way to solve is to find the Lowest (or Least) Common Multiple of both numbers.

As such:

[tex]\text{List the factors of 12 and 44:}\\12=2*2*3\\44=2*2*11\\\\\text{Take the common factors only once and multiply them by the non-common factors:}\\2*2*3*11=132 \text{ (LCM)}[/tex]

Now knowing the LCM is 132, we convert those minutes into hours and minutes:

[tex]\frac{132}{60}=2\frac{12}{60} \text{ (2 hours and 12 minutes)}[/tex]

Add this to the original time:

[tex]1:00\text{ pm } + \text{ }2:12 \text{ }= \text{ }3:12\text{ pm}[/tex]

Answer:

5x−5+11x^2+4x−6x^2+8

5x^2 + 9x + 3

Step-by-step explanation:

Answer: 5x^2 + 9x + 3 .

Step-by-step explanation: i took the test !

Answer:

5/9 acres

Step-by-step explanation:

3 1/3 areas is 10/3

1/6 of the land is covered with beets

[tex]\frac{10}{3} * \frac{1}{6} =\frac{10}{18}[/tex]

[tex]\frac{10}{18}[/tex] will simplify to [tex]\frac{5}{9}[/tex]

Hence the answer is 5/9 acres

Answer:

The answer is 4 m

Step-by-step explanation:

You have two values - the height and length and - and you are missing the width.

The volume (353 m^3) of this rectangular prism is equal to b(ase) x h(eight) x w(idth).

So we can create the equation: 352 = bhw = (8)(11)h = 88h

352/88 = 4

Therefore your missing value is 4.

Answer: the answer is A

Step-by-step explanation:

Answer:

31$ and 75 cents

Step-by-step explanation:

Answer:

He can reduce advertisement expenses

Step-by-step explanation:

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

[tex]m\angle 1=90^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

[tex]90^\circ+65^\circ+m\angle 2=180^\circ[/tex]

[tex]155^\circ+m\angle 2=180^\circ[/tex]

[tex]m\angle 2=180^\circ-155^\circ[/tex]

[tex]m\angle 2=25^\circ[/tex]

Therefore, the correct option is C.

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer: $95.7

Step-by-step explanation:

580 x 5.5% = 31.9 x 3 =95.7

$95.7

Answer: H(-3 , 6)

X increase is horizontal

Y increase is vertical

Answer:

(base × height) × 0.5

Step-by-step explanation:

Formula of the Area of a Triangle => (base × height) × 0.5

Answer:

C = $1.50x + $3y

Step-by-step explanation:

Using the information provided we can create an equation to model the total dollar cost of Amanda's purchase when visiting the candy store. To do this we need to multiply each candies individiual cost by the amount of each candy they are purchasing. Then we add together all of these values to get the final total cost which would be represented by C.

C = $1.50x + $3y

Answer:

A

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times in the data set while the other values appear only once.

Mode is a measure of central tendency

Other measures of central tendency includes : mean and median

Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most

Blue has the highest relative frequency value

Answer:

[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]

Step-by-step explanation:

distribute tan(θ):

=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0

remove parentheses:

=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0

so this equation is now in standard form i.e ax²+bx+c=0

we can solve by factoring as we solve quadratic equation

factor out tanθ:

=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0

factor out -√3:

=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0

group:

=>(tan(θ)-√3)(tan(θ)-1)=0

separate it as two different equation:

[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]

add 1 and √3 to both sides to first and second equation respectively:

[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]

[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]

[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]