What is the rate of change in the table for 2.6(x-7)^2 + 16, please.

Answer: 29.12 cups of coffee

Step-by-step explanation:

16 cups of coffee x 0.82 = 13.12

13.12 + 16 = 29.12

Answer:

x= -9/2

Hope I helped

Answer:

[tex]x=-\frac{9}{2}[/tex]

Step-by-step explanation:

Simplify the given equation by solving for x. Isolate the x variable in:

[tex]-8(6x+12)=-32x-24[/tex]

Expand the left side by using the distributive property. Remember that when a negative and positive are multiplied, the result is always negative:

[tex]-8(6x)-8(12)=-32x-24\\\\-48x-96=-32x-24[/tex]

Use inverse operations to isolate the variable. Add 96 to both sides, canceling out the -96 on the left:

[tex]-48x-96+96=-32x-24+96\\\\-48x=-32x+72[/tex]

Add 32x to both sides to isolate x:

[tex]-48x+32x=-32x+32x+72\\\\-16x=72[/tex]

Now divide both sides by 16:

[tex]\frac{-16x}{16} =\frac{72}{16} \\\\-x=\frac{9}{2}[/tex]

Make the variable positive by multiplying both sides by -1:

[tex]-1(-x)=-1(\frac{9}{2})\\\\x=-\frac{9}{2}[/tex]

:Done

Note:

You do the same thing to both sides in order to keep the equation balanced. Using the opposite value of a term cancels it out, moving it to the other side.

Answer:

[tex]\left \{ {{h=15s} \atop {t=7s+200}} \right.[/tex]

Step-by-step explanation:

Let [tex]h[/tex] be equal to the number of meters the hare travels.

Let [tex]t[/tex] be equal to the number of meters the tortoise travels.

Let [tex]s[/tex] be equal to the number of seconds that pass.

The hare travels at a speed of 15 meters per second, which means [tex]15s[/tex] represents the number of meters the hare travels depending on the number of seconds that pass.

[tex]h=15s[/tex]

The tortoise travels at a speed of 7 meters per second, which means [tex]7s[/tex] represents the number of meters the tortoise travels depending on the number of seconds that pass.

[tex]t=7s[/tex]

However, because the tortoise got a 200-meter head start, we need to add 200 meters to our equation.

[tex]t=7s+200[/tex]

Here is our system of equations:

[tex]\left \{ {{h=15s} \atop {t=7s+200}} \right.[/tex]

I hope this helps!

Answer:

In quadrant II -

Top point: (-2, 3)

Bottom point: (-3, 1)

Step-by-step explanation:

hope this helps :)

Consider the below figure attached with the question.

Given:

m∠DBC = (12x - 3), m∠DBE = (5x + 12), m∠EBC = (3x + 13).

To find:

The measure of ∠EBC.

Solution:

From the figure, it is clear that,

[tex]m\angle DBC-m\angle DBE=m\angle EBC[/tex]

Putting the given values, we get

[tex](12x-3)-(5x+12)=(3x+13)[/tex]

[tex]12x-3-5x-12=3x+13[/tex]

[tex]7x-15=3x+13[/tex]

[tex]7x-3x=15+13[/tex]

[tex]4x=28[/tex]

Divide both sides by 4.

[tex]x=7[/tex]

Now,

[tex]m\angle EBC=(3x+13)^\circ[/tex]

[tex]m\angle EBC=(3(7)+13)^\circ[/tex]

[tex]m\angle EBC=(21+13)^\circ[/tex]

[tex]m\angle EBC=34^\circ[/tex]

Therefore, the measure of angle EBC is 34 degrees.

Answer:

B. 4,1

Step-by-step explanation:

Answer:

9) we get value of x: [tex]\mathbf{x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i}[/tex]

Option C is correct.

10) The difference is [tex]2k^3+3k-1[/tex]

Option A is correct.

Step-by-step explanation:

9) We need to solve:

[tex]x^2+8x+58=0[/tex]

Solving using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=1, b=8 and c=58

Putting values and finding value of x

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(1)(58)}}{2(1)}\\x=\frac{-8\pm\sqrt{64-232}}{2}\\x=\frac{-8\pm\sqrt{-168}}{2}\\We\:know\sqrt{-1}=i \\x=\frac{-8\pm2\sqrt{42}\:i}{2}\\x=\frac{2(-4\pm\sqrt{42}\:i)}{2}\\x=\frac{2(-4+\sqrt{42}\:i)}{2}, x=\frac{2(-4-\sqrt{42}\:i)}{2}\\x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i[/tex]

So, we get value of x: [tex]\mathbf{x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i}[/tex]

Option C is correct.

10) [tex](5-2k^3-5k)-(-4k^2+6-8k)[/tex]

Combining like terms and subtracting:

[tex](5-2k^3-5k)-(-4k^3+6-8k)\\=5-2k^3-5k+4k^3-6+8k\\=-2k^3+4k^3-5k+8k+5-6\\=2k^3+3k-1[/tex]

The difference is [tex]2k^3+3k-1[/tex]

Option A is correct.

Answer:

.625

Step-by-step explanation:

that's what I think it is

Answer:

5/8 = 0.625, 1/5 = 0.2, 2/3 =0.666

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its number line 2.

Answer: 7 feet

Step-by-step explanation:

1 foot = 12 inches

7 * 12 = 84

7 feet = 84 inches

84 inches are more than 81 inches

Answer:

7 feet is greater

Step-by-step explanation:

you can change feet to inches. one foot is the same as 12 inches. so 7 feet = 84 inches. so 84 > 81 so 7 feet is greater

Answer:

1/3 hope this helps!!!

Answer:

[tex]\dfrac{\sqrt3}{4}[/tex]

Step-by-step explanation:

The given expression is :

[tex]x=\dfrac{3}{4\sqrt{3} }[/tex]

Multiplying both numerator and denominator by [tex]\sqrt{3}[/tex],

[tex]x=\dfrac{3}{4\sqrt{3} }\times \dfrac{\sqrt{3} }{\sqrt{3} }\\\\=\dfrac{3\sqrt3}{4\times 3}\\\\=\dfrac{\sqrt3}{4}[/tex]

So, the rationalized form of the given expression is [tex]\dfrac{\sqrt3}{4}[/tex]

Answer:

−4x+5−x−2= 28

Step-by-step explanation:

−4x+5−x−2 = 28

-5x+3=28

-5x=25

x= -5

Answer:

(-1, 2 ,4, 6, 6.9, 6.99, 6.999)

Step-by-step explanation:

The < symbol means less than. The inequality r < 7 means r can be any number less than 7.

That means any value less than 7 would make the inequality true. Any value equal to or greater than 7 would be incorrect and make it false.

Answer:

5

Step-by-step explanation:

looking at the congruency statement, we can tell A and D are equal

so we set up the equation that way: 10x=50

divide by 10 on both sides: x=5

Answer:

12d - 11

Step-by-step explanation:

I think.

Plz don't be mad if it's wrong

Answer:

7.6158 feet

Step-by-step explanation:

The rise and run form the shorter sides of a right triangle with the hypotenuse as the surface (see figure)

Hypotenuse (surface length) is given by the Pythagorean formula

[tex]c = \sqrt{a^2 + b^2}[/tex] where c is the hypotenuse and a, b the shorter sides

Here
[tex]\sf c = \sqrt{7^2 + 3^2} = \sqrt{49 + 9} = \sqrt{58} = 7.6158\;feet[/tex]

We need to know about inequality to solve this problem. The solution of the inequality is x>-4/3.

Inequality represents the comparison between two unequal expressions. Two expressions can be related to each other as greater than, less than,greater than or equal to or less than or equal to. While solving inequality we always have to keep in mind the change of sign and corresponding change of the comparison. Here in the question we have an inequality of the variable x, we have to get a solution for x by solving this inequality.

6x+4>-3x-8

6x+3x>-8-4

9x>-12

x>-4/3

Therefore the solution set that we get from the inequality 6x+4>-3x-8 is x>-4/3.

Learn more about inequality here:

https://brainly.com/question/14361489

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Answer:

its c

Step-by-step explanation:

Our denominators are 40 and 4. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 40 and 4. In this case, the lowest common denominator is 40.

If we multiply the first denominator (40) by 1 we will get 40. If we multiply the second denominator (4) by 10 we will also get 40. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

33 x 1

40 x 1

3 x 10

4 x 10

This is what 33/40 and 3/4 looks like with the same denominator:

33

40

&  

30

40

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 33 is greater than 30 which also means that 33/40 is greater than 3/4.

Answer:

b

Step-by-step explanation:

Answer:

[tex]-2a+b[/tex]

Step-by-step explanation:

[tex]\left(11a-8b\right)-\left(13a-9b\right)\\11a-8b-\left(13a-9b\right)\\11a-8b-13a+9b\\11a-13a-8b+9b\\-2a-8b+9b\\-2a+b[/tex]

Answer:

O 20.8 centimeters

Step-by-step explanation:

Guessed on Edge and got it right.

The perimeter of the square after 1.5 seconds will be 20.8 centimeters so option (C) will be correct.

Perimeter is the addition of an external measure of sides it will always positive.

Perimeter of square = side + side + side + side

Initial side length of square = 1 cm

Rate of grow side = 2.8 centimeter per minutes

By multiplying 1.5

Rate of grow side = 4.2 centimeter per 1.5 minute

So,

New side = 1 + 4.2 = 5.2 cm

Perimeter = 4 × side

Perimeter = 4 (2.5) = 20.8 cm

Hence "The perimeter of the square after 1.5 seconds will be 20.8 centimeters".

To learn more about Perimeter,

https://brainly.com/question/6465134

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Answer:

Step-by-step explanation:

2y + 14x - 7x + 9y

2y + 9y + 14x - 7x

11y + 7x

Answer:

11y+7x

Step-by-step explanation:

because you combine like terms which is 14x - 7x which is 7X and 9y plus 2y which is 11y so 11y plus 7x is the answer

a² + b² = c²

6² + 3² = c²

36 + 9 = c²

45 = c²

[tex] \sqrt{45} = c[/tex]

[tex] \sqrt{5 \times 3 \times 3} = c[/tex]

[tex] \sqrt{5} \times 3 = c[/tex]

[tex]3 \sqrt{5} = c[/tex]

Answer:

a. y = -3x+[tex]\frac{1}{2}[/tex]

b. y = -2

Step-by-step explanation:

The equation for a line is y=mx+b (m= the slope b= the y-intercept) Simply insert the variables into the equation.