What is h(-8) for h(x) = x²
2
-x² +7x?

Answer:

198

Step-by-step explanation:

45% of 440

= [tex]\frac{45}{100}[/tex] × 440

= 0.45 × 440

= 198

Answer:

The volume is 452 square inches.

Step-by-step explanation:

Volume=area of base*height

just plug in the values

Step-by-step explanation:

this means the factors of the various terms of x and the constant.

a = 4

b = 1

c = 9

and yes, if there would be negative factors, the signs wold be part of a, b and c too.

overall, this is then used to solve the quadratic equation.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

The y-intercept of the line 15 - 3y = x is ( 0 , 5 )

Sure hope this helps you

Answer:

Step-by-step explanation:

The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.

__

Let x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...

  2x +y = 1320

  3x +2y = 2170

__

Subtracting the second equation from twice the first gives ...

  2(2x +y) -(3x +2y) = 2(1320) -(2170)

  x = 470

Using the first equation, we can find y:

  y = 1320 -2x = 1320 -2(470) = 380

__

A cheeseburger has 470 calories; a small order of fries, 380 calories.

_____

Attached is a graphing calculator solution.

Answer:

228 in³

Step-by-step explanation:

Volume of a trapezoidal prism

Finding Base Area (on the side here)

Volume

Kate can see across the horizon by 3.33 times further than Paul.

The volume of the cone can be used to determine how far they can see across the horizon from the cone shape.

Using the volume of the cone

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

For Kate:

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]

V = 2.12526863 × 10¹⁵ m³

For Paul

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Answer:

[tex]27c^3-27c^2d+9cd^2-d^3[/tex]

Step-by-step explanation:

Binomial Theorem

[tex](a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n[/tex]

[tex]\textsf{If }(a+b)^n=(3c-d)^3 \: \textsf{ then}:[/tex]

Substitute the given values into the formula:

[tex]\begin{aligned}(3c-d)^3 & =(3c)^3+\dfrac{3!}{1!(3-1)!}(3c)^{3-1}(-d)+\dfrac{3!}{2!(3-2)!}(3c)^{3-2}(-d)^2+(-d)^3\\\\& =(3c)^3+3(3c)^2(-d)+3(3c)^1(-d)^2+(-d)^3\\\\& =27c^3-27c^2d+9cd^2-d^3\end{aligned}[/tex]

The parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = log x

First transformation:

Replace x → (x+4)

The parent function will shift left side by 4 units.

Second transformation:

Multiply the function with -1

The function will reflect over x-axis

The function becomes:

g(x) = -log(x+4)

Thus, the parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

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Answer:

164 cm^2

Step-by-step explanation:

Total surface area = 2 * area of triangle + areas of the 3 rectangles

= 2 * 1/2 * 5 * 4 + 5 * 9 + 5 * 9 + 6 * 9

=  20 + 45 + 45 + 54

= 164 cm^2

Percy solved the equation by expanding the expression on the left-hand side, and this is incorrect

The equation is given as:

x^2 + 7x + 12 = 12

The first step in solving the equation is to equate the equation to 0.

i.e.

x^2 + 7x + 12 - 12 = 0

This given

x^2 + 7x = 0

From the question, Percy solved the equation by expanding the expression on the left-hand side

Hence, Percy's solution is incorrect

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Answer:

Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.

Answer:

m = -10.7

Step-by-step explanation:

m + 4.1 = -6.6

Subtract 4.1 from both sides:

m + 4.1 = -6.6

    - 4.1    - 4.1

m = -10.7

Final answer: m = -10.7

Hope this helps!

Answer:

You would end at (3, 3).

Explanation:

You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).

Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.

Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).

Answer: Use pemdas to solve

Friday:

(13.5 + 18.5) ÷ 2

= 16

Saturday:

18 - (2 x 4)

= 10

Sunday:

20 - (5 - 3)

= 18

Step-by-step explanation:

Phillipa rode her bicycle the most on Sunday.

Hope this helps.

Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.

This theory states that if two angles are said to be put beside each other, the resulting angle is said to be equal in terms of the sum of the two real angle measures.

Note therefore, that that Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.

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Step-by-step explanation:

it means

$75.99 = original price × 0.65 ((100-35)/100)

original price = $75.99/0.65 = $116.9076923... ≈

≈ $116.91

Answer:

[tex]12.95 \: inches[/tex]

Step-by-step explanation:

We were told that the diameter of the circular plate is 11 inches. In order to find the distance the ants travel to make one revolution we have to first find the circumference of the circular plate. Circumference is:

[tex]2\pi \: r[/tex]

The radius would be half of the diameter (11). Therefore the radius is 5.5.

[tex]r = 5.5 \: \: \: \: \: \pi = 3.14 \\ cir = 2(3.14) \: (5.5) \\ cir = 6.28 \times 5.5 \\ cir = 34.54[/tex]

Since we found the circumference of the circular plate that means that we know how much one revolution made by the ants would be (34.54). Since the ant made 1.5 revolutions we have to multiply 34.54 by 1.5.

[tex]34.54 \times 1.5 = 51.81[/tex]

So we now know that the ant walked 51.81 inches in 4 minutes, now we have to find the distance he would walk in 1 minute.

Let x be the unknown value*

[tex] 51.81 \:inches = 4 \:minutes \\ x \:inches = 1 \: minutes\\ \\ 51.81=4x \\ \\\frac{51.81}{4} = x \\ \\ 12.95 = x[/tex]

Answer:

(5,2) and (6,5)

length of side = sqrt10 ~= 3.16 units

Area = 12 sq units

Step-by-step explanation:

It really helps to graph the given information. See image. The sides have the same slope bc they are parallel. If you go UP3 & OVER1 to get from the first point to the second point, then do that again on the right side. See image. Use distance formula or pythagorean thm to find the length:

c^2 = 3^2 + 1^2

c^2 = 9+1

c^2 = 10

c = root10 ~= 3.16

Area of a parallelogram is b•h

A = 4•3

= 12

see image.

The solution to the quadratic equation 6x² + 6 = 12x is x = 1

The quadratic equation is given as:

6x² + 6 = 12x

Equate the equation to 0

6x²  - 12x + 6 = 0

Expand the equation

6x²  - 6x - 6x + 6 = 0

Factorize the expression

6x(x  - 1) - 6(x - 1) = 0

Factor out x - 1

(6x - 6)(x  - 1) = 0

Split

6x - 6 = 0 or x - 1 = 0

Solve for x in both instance

x = 1 or x = 1

Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1

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Answer:

Step-by-step explanation:

Answer:

x-3+2x+3+2x = 5x

x+8+4x-3x-4 = 2x+4

4x+x-11-5X+25+4x = 4x+14

3x+5-2x-5x+9+8x = 4x+14

5+9x-7-4X-3x+6 = 2x+4

6x-9-5x+4-x+5x+5 = 5x

Step-by-step explanation:

Simplified by adding like terms

Answer:

1.04 liters

Step-by-step explanation:

If 50 is 4liters

Then 13 is x

Use this below equation

Value t is for value y then how much for value z

[tex]x = \frac{t}{y} \times z[/tex]

X = 4/50 *13

X = 1.04liters

Or

13/50 = x/4 (cross multiply)

50X = 52

X = 52/50

X = 1.04 liters

Answer:

A. 33

Step-by-step explanation:

Add 4 to each number

1. 5 is your first number

2. 5+4= 9 is your second number

3. 9+4= 13 is your third number

4. 13+4= 17 ...

5. 17+4= 21 ...

6. 21+4= 25 ...

7.25+4= 29 ...

8.29+ 4= 33 is your eight number

Magnitude and direction of u + v + w is equals to 57.871 and 19°.

"Vectors are those quantity of which represents both direction as well magnitude."

According to the question,

As shown in diagram we have,

u + v + w

   = (wcos30°)[tex]\^{i}[/tex] + (wsin30°)[tex]\^{j}[/tex] +(vcos20°)[tex]\^{j}[/tex] - (vsin40°)[tex]\^{i}[/tex] -(ucos40°)[tex]\^{i}[/tex] -(usin40°)[tex]\^{j}[/tex]

  = ( wcos30° - vsin40° - ucos40°)[tex]\^{i}[/tex] + (wsin30°+ vcos20° - usin40°)[tex]\^{j}[/tex]

Substitute the value of ║w║ = 40 ,║v║=60,and ║u║= 90 we get,

u + v +w

= (  40cos30° - 60sin40° - 90cos40°)[tex]\^{i}[/tex] + (40sin30°+ 60cos20° - 90sin40°)[tex]\^{j}[/tex]

= (20√3 - 20.5212 - 68.9440)[tex]\^{i}[/tex] + ( 20 +56.3816 - 57.8509)[tex]\^{j}[/tex]

= ( -54.8242)[tex]\^{i}[/tex] + (18.5307)[tex]\^{j}[/tex]

Therefore,

Magnitude = √(-54.8242)² +(18.5307)²

                  =√3349.0798

                  = 57.8712

   tanθ = ( 0.3380)

⇒θ = tan⁻¹ (0.3380)

     = 18.67

    ≈ 19°

Hence, magnitude and direction of u + v + w is equals to 57.871 and 19°.

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Answer: 5+10-15=30

5=35

=7

х=49

5√49+10-15=30

30=30

+1+7=4

=-4

it is no solution

Step-by-step explanation:

Step-by-step explanation:

remember (always remember) : a probability is desired cases divided by total possible cases.

what is our total here ?

1388 students at this school

what are our desired cases here ?

every student, who bikes to the school : 207

so, the probability that a randomly picked student is biking to the school is

207/1388 = 0.149135447...

so, b. is the right answer.

please let me know what is not clear to you.

we solved now many probability questions together, but this is very, VERY basic, and you could not do it.

so, what is not "clicking" with you ? what do you need explained ?