h(x)=3x−3, find h(3)h(3)

Answer:

11

Step-by-step explanation:

To calculate the mean you add all the numbers and divide by the number of numbers. There are 4 numbers in this set so we will divide by 4.

Let x be the unknown number,

(10+4+7+x)/4=8(mean)

To solve for x, we first mutliply both sides by 4.

To simplify the left side we can add 10+4+7 and get 21 where now our equation is 21+x=32. Subtract 21 on both sides and you will get 11 which is our answer.

Plug-in 11 and solve for the mean to verify where we do indeed get 8 as the mean.

Answer:

900 is the correct awnser

Given:

The function is:

[tex]f(x)=-(x+5)(x+1)[/tex]

To find:

The range of the function.

Solution:

We have,

[tex]f(x)=-(x+5)(x+1)[/tex]

It can be written as:

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

[tex]f(x)=-(x^2+6x+5)[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{6}{2}\right)^2=9[/tex].

[tex]f(x)=-(x^2+6x+9-9+5)[/tex]

[tex]f(x)=-(x^2+2(x)(3)+3^2-4)[/tex]

[tex]f(x)=-(x^2+2(x)(3)+3^2)+4[/tex]

[tex]f(x)=-(x+3)^2+4[/tex]

On comparing this equation with [tex]f(x)=a(x-h)^2+k[/tex], we get

[tex]a=-1[/tex], it means the graph of the function is a downward parabola and the vertex is the point of maxima.

[tex]h=-3[/tex]

[tex]k=4[/tex]

The vertex of the function is (-3,4). So, the value of the function cannot be greater than 4.

Therefore, the range of the function is all real numbers less than or equal to 4.

Note: All options are incorrect.

Answer:

1365 rupees

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is via the method of proportions. One can use a proportion to find the original price of the watch. Then one can find the price of the watch if the watch had a (30%) mark up, by using a proportion.

2. Find the original price

Remember, the general format of a proportion is the following:

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

The following information is given:

The watch sold for (1260) rupees which is (120%) of the original price. Remember, there was a (20%) gain, meaning that the seller recovered (120%) of the price, in essence, the price of the watch, plus (20%) extra, thus (120%). Substitute these values into the proportion and solve,

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

[tex]\frac{1260}{total}=\frac{120}{100}[/tex]

Simplify,

[tex]\frac{1260}{total}=\frac{120}{100}[/tex]

[tex]\frac{1260}{total}=\frac{6}{5}[/tex]

Cross product,

[tex]\frac{1260}{total}=\frac{6}{5}[/tex]

[tex](5)(1260)=(6)(total)[/tex]

Simplify,

[tex](5)(1260)=(6)(total)[/tex]

[tex]6300=6*total[/tex]

Inverse operations,

[tex]6300=6*total[/tex]

[tex]1050=total[/tex]

3. Find the price if the mark up is (30%)

Now, one knows the original price of the watch. Set up a proportion to find the price of the watch if there is a (30%) mark up. Use the same logic to set up this proportion as was used to set up the last one. The (percent) will be (130%) because the new price of the watch is (130%) of the original watch.

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

Substitute,

[tex]\frac{part}{total}=\frac{percent}{100}[/tex]

[tex]\frac{part}{1050}=\frac{130}{100}[/tex]

Simplify,

[tex]\frac{part}{1050}=\frac{130}{100}[/tex]

[tex]\frac{part}{1050}=\frac{13}{10}[/tex]

Cross products,

[tex]\frac{part}{1050}=\frac{13}{10}[/tex]

[tex](10)(part)=(13)(1050)[/tex]

Simplify,

[tex](10)(part)=(13)(1050)[/tex]

[tex]10*part=13650[/tex]

Inverse operations,

[tex]10*part=13650[/tex]

[tex]part=1365[/tex]

Thus, the price after the (30%) is (1365) rupees.

Answer:

x= 2/2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Have a nice day

Answer:

O D. 3x2 + 2x-3

Answer:

A.7x2-5x questions 2of 20

Answer:

The lowest score could be 85

Step-by-step explanation:

Let the  lowest score = x

(x + 89 + 92 + 94)/4 = 90                     Add the 3 scores you know

(x + 275)/4 = 90                                    Multiply both sides by 4

(x + 275) = 360                                     Remove the brackets.

x + 275 = 360                                       Subtract 275

x = 360 - 275

x = 85

Answer:

The answer is Angle 4 and Angle 3.

Answer:

It's answer is angle 4 and angle 3

Answer: The number = 3 /4 or 4 / 3

Concept:

Here, we need to know the idea of a reciprocal.

Reciprocal is also called the multiplicative inverse.  It is similar to turning the number upside down which is found by interchanging the numerator and denominator.

Number ⇒ Reciprocal = 1 / Number

Solve:

STEP ONE: Set up the equation

Let x = the number

Let 1 / x = the reciprocal

x + 1 / x = 25 / 12

STEP TWO: Multiply x on both sides

(x + 1 / x) · x = (25 / 12) · x

x² + 1 = 25x / 12

STEP THREE: Multiply 12 on both sides

(x² + 1) × 12 = (25x / 12) × 12

12x² + 12 = 25x

STEP FOUR: Subtract 25x on both sides

12x² + 12 - 25x = 25x - 25x

12x² - 25x + 12 = 0

STEP FIVE: Solve for the quadratic equation

(3x - 4) (4x - 3) = 0 ⇔ (Factorization of the equation)

(x - 4 / 3) (x - 3 / 4) = 0

x = 4 / 3 or x = 3 / 4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

6÷3

=2

So each chimpanzee Will get 2 bananas

Answer:

She spends $30 in total.

Step-by-step explanation:

Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:

Every week Judy buys:

5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.

3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.

2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.

2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.

1 giant container of ice cream, she spends $7 on it.

So the total money that she speends is:

$5 + $9 + $4 + $10 + $7 = $35

And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.

So she will spend a total of $35 - $5 = $30

She spends $30 in total.

Answer:

This type of study is called a simulation

Step-by-step explanation:

Answer:

94º

Step-by-step explanation:

<TRS = 1/2(arc UJ + arc TS)

<TRS = 1/2(65 + 123)

<TRS = 1/2(188)

<TRS = 94º

Answer:

[tex]-10+i\sqrt{2}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]

In order to simplify and solve this problem, one must keep the following points in mind: the square root function ([tex]\sqrt{}[/tex]) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ([tex]\sqrt{-1}=i[/tex]). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]

[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]

Take factors from out of under the radical:

[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]

[tex]2-7i\sqrt{2}-12+8i\sqrt{2}[/tex]

Simplify,

[tex]-10+i\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Let's write that out completely:

[tex]ln_e(x)=7[/tex] The rule for going from log to exponential is what I call the "circular rule" in my classes and the kids never forget it. Take the base of the log, raise it to the power of the number on the other side of the equals sign, and then circle back to set it equal to the argument.

e is the base. Raise e to the 7th and circle back to set the whole thing equal to x (x is called the argument):

[tex]e^7=x[/tex] choice C.

Answer: legislative risk

Step-by-step explanation:

Legislative risk refers to a form of risk whereby there's likelihood of a business making a loss on an investment due to governmental action.

Legislative risk implies an amendment or an abolition of laws which has a direct impact on investments. Regarding the question, the introduction of the new tax laws and fiscal policies is a legislative risk.

Answer:

c

Step-by-step explanation:

Answer:

a) 30

b)600pi

Step-by-step explanation:

For the first questions, since the arc is 240°, the area of the sector and circumference will be 240/360 or 2/3 of the total of the circles'. Therefore 125.6 x 3/2 is the circumference, which is 188.4. When we divide this by 6.28, we get 30

Now, since the area is pi r^2 where we know that r=30, we get 900pi as the area of the whole thing, however since the sector is 2/3 of the whole circle, 2/3 x 900pi = 600pi

Answer:

[tex]2^{\frac{1}{6} }[/tex]

Step-by-step explanation:

(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6

Answer:

a square has 4 sides therefore the formula for perimeter of a square would be 4a where a is the number of sides. in this case, we want to know the length of each side so we divide total length (28) by number of sides which is 4 and we get 7m

Answer:

the side lengths of a square are equal. Second, know that the sum of all 4 side lengths gives us the perimeter.

Step-by-step explanation:

here's the answer to your question

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

11 is the mystery number

Answer:

The mystery number is 11

Step-by-step explanation:

→ Set up an equation

( 10 + 4 + 7 + x ) ÷ 4 = 8

→ Multiply both sides by 4

21 + x = 32

→ Minus 21 from both sides

x = 11