1/3x^2 = -3

The solution to the equation is ___?

Answer:

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line

m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = - 2x - 4 ← equation of line

Answer:

Option B is the correct answer

Step-by-step explanation:

Complimentary angles mean sum of angles is [tex]90^{0}[/tex]

Let the smaller angle be [tex]x[/tex]

Other angle is [tex]90-x[/tex]

We have

Two complementary angles are in the ratio [tex]3: 2[/tex]

[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]

Smaller angle is [tex]36^0[/tex]

Option B is the correct answer

Answer:

  135°

Step-by-step explanation:

A full turn is 360°, so 0.375 of a full turn is ...

  0.375 × 360° = 135° . . . . degrees in 3/8 turn

Answer:

3.4 cm

Step-by-step explanation:

average is the sum of all the values then divided by the number of values.

The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.

The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.

Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.

Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm

Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm

Therefore, the average rainfall for the given values is 3.40 cm.

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Answer:

y=3x+1

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.

7 - 4 = 3.

If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.

10 - 7 = 3. (This now verifies our rate of change to be 3)

We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).

Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).

Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.

With all this information we can create the equation with the information we now have.

y = mx+b

y = what you are calculating for

m = 3

x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]

b = 1        (the constant / y intercept / or simply put as the value we solved when calculating figure 1)

Final Result = [ y = 3x + 1]

Answer: p+1

Step-by-step explanation:

3(2/3p+3-1/3p)

=3(1/3p+3)

=p+1

Answer:

B. 10

Step-by-step explanation:

Look at the chart.

Find how many members are 50-60 inches tall. (6)

Find how many members are 61-70 inches tall. (4)

Add each member count up. (10)

Answer:

y=3 x=1  

Step-by-step explanation:

Took the quiz

Answer: $897.6

Step-by-step explanation: 46,675 a year, 52 weeks in a year. 46,675/52=897.6

Answer: 4 17/30

Step-by-step explanation:

2 2/5 - 1 1/3 + 3 1/2

(2 12/30 - 1 10/30) + 3 15/30

1 2/30 + 3 15/30 = 4 17/30

Have a nice day, and if you could be so nice as to give me a brainliest

Answer:

7.40 for 5 liters

Step-by-step explanation:

2.98/2= 1.49

7.40/5= 1.48

Hope this Helps  :)

Can u mark me the  brainliest

Step-by-step explanation:

3×|x + 4| + 2 >= 5

you handle this basically like an equation :

3×|x + 4| >= 3

|x + 4| >= 1

because of the absolute value we have 2 solutions for that :

x + 4 = 1

and

x + 4 = -1

as in both cases the absolute value turns the result into 1.

so,

x + 4 = 1

x = -3

x + 4 = -1

x = -5

so, to satisfy the inequality

x >= -3 or x <= -5

please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.

Answer:

.11

Step-by-step explanation:

it is correct

Answer:

A) $.11

Step-by-step explanation:

A dozen = 12

To find unit cost you divide cost of items by # of items

In this case we have 12 eggs that cost 1.35

So unit cost = 1.35 / 12 = .11

The zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represents the moment when the ball is 6 ft above the ground.

Given that,

The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,

[tex]\rm y = -16x^2 + 24x + 1.[/tex]

We have to determine,

What information does the zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represent?

According to the question,

In the quadratic equation for the ball's height, it is found that the zero of the equation represents,

[tex]\rm 6 = -16x^2 + 24x + 1[/tex]

The instant of the time x is when the ball is 6 ft above the ground.

The height of the ball is y(x), after x seconds, is modeled by:

[tex]\rm y = -16x^2 + 24x + 1.[/tex]

The equation given is,

[tex]\rm 6 = -16x^2 + 24x + 1[/tex]

In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.

Hence, These points represent the moment when the ball is 6 ft above the ground.

For more details about the Quadratic equation refer to the link given below.

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Answer:

P = $250

Step-by-step explanation:

Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)

I = Prt

12 = P(.032)(1.5)

12 = .048P

12/.048 = P

P = 250

Hello! :p

Original: 8+3x=-9y

standard form:  3x + 9y = -8

I hope this helps! Have a wonderful day! :)

Answer:

r = 7 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( where r is the radius )

Given A = 154 , then

πr² = 154 , that is

[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )

22r² = 1078 ( divide both sides by 22 )

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7 cm

x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32

x = -2 ⇒ [(-2)⁵ + 32] = (-2+2)⁵ ⇒ 0 = 0

So: (x⁵ + 32) = (x - 2)⁵ if x = -2 or x = 0

Ok done. Thank to me :>

The approximate value of q in the equation is [tex]0.774[/tex]

The equation is given as:

[tex]q\log_2(6) = 2[/tex]

Divide both sides of the equation by [tex]\log_2(6)[/tex].

So, we have:

[tex]q= \frac{2}{\log_2(6) }[/tex]

Determine log(6) base 2

[tex]q= \frac{2}{2.585}[/tex]

Divide 2 by 2.585

[tex]q= 0.774[/tex]

Hence, the approximate value of q in the equation is [tex]0.774[/tex]

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Answer:

d is the question

Step-by-step explanation:

Answer: No real solution.

Step-by-step explanation:

Since the parabola never crosses the x-axis, there are no real solutions.

Answer:

slope = 1

Step-by-step explanation:

1) expand those brackets on the left side my multiplying

x - 5 = 3y + 12 - 2y + 1

2) simplify by collecting like terms

x - 5 = y + 13

3) bring -5 to the right side by adding 5

x = y + 18

4) let's rearrange this equation in the form y = mx + c where m is the gradient (slope) and c is the y intercept. by subtracting 18 on both sides

y = (1)x - 18 (there is a 1 in front of the x, but we don't write it like that. m is 1)

y = x - 18

the slope is the gradient, which is 1

Answer:

Step-by-step explanation:

R

The number of calories in 14 brownies is 233 calories.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.

The first step is to determine the average calorie in 1 brownie.

Average calorie = 50 calories / 3 = 16.667 calories

In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.

Total calories = 16.67 x 14 = 233 calories

Hence, The number of calories in 14 brownies is 233 calories.

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It is right but what's the full question

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.

The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.

Given:

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.

This is an increase on the average of `8.1` hours per workday in 2014.

So, Percent change =  (Final value - initial value) / initial value x 100

Percent change = 8.5 - 8.1 / 8.1 x 100

Percent change = 4.93%

Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

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Answer:

6:16

Step-by-step explanation:

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