Convert equation y = 3x^2 - 24x + 0.5 to vertex form by completing the square.

Answer:

The slope of the line = m = 3/2

Hence, option D is correct.

Step-by-step explanation:

Given the points

Determining the slope between  (1,-4) and (3,-1)

(x₁, y₁) = (1,-4)

(x₂, y₂) =  (3,-1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [-1 - (-4)] / [3 - 1]

               = [-1 + 4] / [2]

               = 3/2

Thus, the slope of the line = m = 3/2

Hence, option D is correct.

Step-by-step explanation:

first find x

2x+15=6x-1

15+1=6x-2x

16=4x

x=4

then find the value of the angle

6(4)-1=23

lmk if it is right

Answer:

Step-by-step explanation:

In rectangle, diagonals bisect each other and diagonals are equal.

So, AE = DE

∠ADE = ∠DAE            {Angles opposite to equal sides are equal}

6x - 1 = 2x + 15

6x      = 2x + 15 + 1

   6x = 2x + 16

6x -2x = 16

4x      = 16

       x = 16/4

       x = 4

∠ADE = 6x - 1

         = 6*4 - 1

         = 24 - 1

        = 23

Answer:

2.5 X z = 10

z stands for the unknown number that is multiplied by 2.5 to equal 10

Answer:

it is B because the answer is 14 so that why it is B

Answer:

-9.504

Step-by-step explanation:

First you do 1.76 times 1.5 which is 2.64. Then you do 2.64 times negative 3.6 which would be -9.504.

Answer:

Step-by-step explanation:

brooooooooo wtfffffffff

Answer:

30

Explanation:

To begin, first find the length of the third side of the triangle. We are given that the two short sides of the triangle have lengths of 5 and 12. Use the Pythagorean Theorem to find the length of the third side:

a2+b2=c2,

where a and b represent the two shorter sides of the triangle, and c is the hypotenuse:

a2+b2=c2

52+122=c2

25+144=c2

169=c2

169−−−√=c2−−√

c=13

Now that we have the lengths of all three sides, add them together to find the perimeter:

5+12+13=30

The perimeter of the triangle is 30.

Answer:

A) 12-10

B)36+225

Step-by-step explanation:

A) 3x4=12, 5x2= 10= 12-10

B) 3x2=6x6=36, 3x5=15x15=225=36+225

For x = 3 and y = 5 the values of the given expressions are (a) 4x - 2y = 2 and (b) 2x² + 3y² = 93.

Substitution is a mathemaical technique for replacing variables with specific or covnient values according to the context.

When the values of variables are given to solve an equation we just have to replace those numerical values in place of the given variables.

Given, x = 3 and y = 5.

∴ 4x - 2y is,

= 4(3) - 2(5).

= 12 - 10.

= 2.

And

2x² + 3y².

= 2(3²) + 3(5²).

= 2(9) + 3(25).

= 18 + 75.

= 93.

learn more about substitution here :

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Answer:

The volume is 22.44 cubic inches

Step-by-step explanation:

The formula for the volume of a sphere is  

We know the diameter, but we can easily convert this into the radius by dividing it by 2, since the diameter is twice as long as the radius.

3.5/2 = 1.75

Now we can find the volume.

So, the average volume of a clementine is 22.46 cubic inches

The closest option you have is 22.44 so if you round it that should be your answer.

Answer:

5.8 × 10^(6) is greater.

Step-by-step explanation:

The 2 numbers she wants to compare are;

5.8 × 10^(6) and 2.32 x 10^(7)

Now,for her to compare easily both numbers will need to have the same powers of 10.

To this effect, let's convert the power of ten of the second number to the power of 6.

We will divide by 10 to get it.

Thus; 2.32 x 10^(7) ÷ 10 = 0.232 × 10^(6)

Comparing 0.232 × 10^(6) to 5.8 × 10^(6), we can see that they have same power of 10 but the greater number that precedes the power of 10 is 5.8.

Thus, 5.8 × 10^(6) is greater.

Answer:

Step-by-step explanation:

[tex]equation: \frac{x}{140} = \frac{30}{100} \\reduced: 100x = 4200\\ solved: \frac{100x}{100} = \frac{4200}{100} \\x = 42[/tex]

An equation is formed of two equal expressions. The equation that shows the relationship 30% of 140 is x is x=0.30×140.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that 30% of 140 is equal to x. Therefore, we can write,

[tex]\text{30\% of 140} = x\\\\\dfrac{30}{100} \times 140 = x\\\\x = 0.30 \times 140\\\\x=42[/tex]

Hence, the equation that shows the relationship 30% of 140 is x is x=0.30×140.

Learn more about Equation:

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Answer:

C. Divide each side by -2/3

Step-by-step explanation:

-2/3 is being multiplied by c. So we have to do the inverse of multiplication which is division.

Answer:

Yes.

Step-by-step explanation:

Answer:

34 degrees

Step-by-step explanation:

Angle K is similar to Angle R, and Angle R is 34 degrees. So Angle K is also 34 degrees.

Hope it helps!

Answer:

Step-by-step explanation:

Answer:

He'll end up paying 5,382 more than he borrowed.

Step-by-step explanation:

12 months in one year right so multiply 10 by 12.

You get 120 months in 10 years. Multiply $179.85 times 120 months.

Then you'll get the total amount he'll end up paying in those 10 years which is 21,582.

Subtract 21,582-16,200 and you get the amount of how much more money he'll end up paying which $5,382.

hope this helps

Answer:

what are the answer choices ma'am or sir

Step-by-step explanation:

Answer:

x-0.3

Step-by-step explanation:

Answer:

-7.

Step-by-step explanation:

By grouping positive and negative terms, we see that (+6) + (−11) + (+5) + (−7) = (6+5) - (11 + 7) = 11 - 18 = -7.

Answer:

they are equal and act in opposite directions

Step-by-step explanation:

Answer:

m = 0

Step-by-step explanation:

[tex]m = \frac{7 - 7}{5 -2} \\m = \frac{0}{3}\\m = 0[/tex]

Answer:

7 hours

Step-by-step explanation:

We are given that

At sunset, the temperature=-5 degrees Fahrenheit

Each hour, temperature falling=2degrees Fahrenheit

We have to find time taken to reach the temperature -19° F.

Let x be the time time taken to reach the temperature -19° F

According to question

[tex]-5+x(-2)=-19[/tex]

Where we taking 2 negative because temperature decreases.

[tex]-5-2x=-19[/tex]

[tex]-5+19=2x[/tex]

[tex]14=2x[/tex]

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Hence, it will take 7 hours for the  temperature to reach -19° F.

Answer:

d is equal to or greater than 9

Step-by-step explanation:

Subract thirteen from both sides of the equation.

Answer:

x= 30/11

11x=30

Step-by-step explanation:

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Answer: -3x + 6

Step-by-step explanation:

Multiply using the disturbutive property.

Answer:

-3x + 6

Step-by-step explanation:

-3x - 3x (-2)

multiply it

-3x+6

Answer:

the answer is c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your answer

5.55 per square foot

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