What is the value of k in the equation below?

5 k minus 2 k = 12

1 and one-fifth
1 and StartFraction 5 Over 7 EndFraction
3
4

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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P(A) =Probability of heads

P(B) = Probability of tails

P(B)= 1 - P(A) = 1 - 58 = 42%

The events are independent, so, let's assume that we flip the coin and the first two results are heads, so:

P(A) =0.58

Now, let's assume the last two results are tails so:

P(B) = 0.42

Therefore:

Answer:

The length of o is 24 centimeters

Step-by-step explanation:

In Δ OPQ

∵ Side p is opposite to ∠P

∵ Side q is opposite to ∠Q

∵ Side o is opposite to ∠O

→ To find side o we must use the cosine rule

∴ o = \(\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }\)

∵ p = 38 cm

∵ q = 29 cm

∵ m∠O = 39°

→ Substitute them in the rule to find o

∴ o = \(\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}\)

∴ o = 23.92008154

→ Round it to the nearest centimeter (whole number)

∴ o = 24 centimeters

∴ The length of o is 24 centimeters

Answer:

right angle triangle

Step-by-step explanation:

by applying Pythagoras theorem

\( RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS\)

hence proved

7 apples times 5 tomato's equal 35 potato's!

Answer:

it is a simple question and easy to learn

Step-by-step explanation:

it's 35 because if you add 5+5+5+5+5+5+5=35 it will equal the same answer as 7x5=35.

Answer:

x = 6, y = -2, z = 0

Step-by-step explanation:

To find x, we have to plug 0 into f(x). Therefore, x = f(0) = 2 * 0² - 8 * 0 + 6 = 6. Similarly, to find y, we have to plug 2 into f(x) so y = f(2) = 2 * 2² - 8 * 2 + 6 = -2. Finally, z = f(3) = 2 * 3² - 8 * 3 + 6 = 0.

Answer:

6, -2, 0

Step-by-step explanation:

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

B and E

Step-by-step explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.

Answer:

Step-by-step explanation:

B and E

Answer: The zeros of the polynomial function F(x) = x³ - x² - 6x are 0, 2, and -3.

Step-by-step explanation:

The zeros of a polynomial function are the values of x that make the function equal to zero. To find the zeros of the function F(x) = x³ - x² - 6x, we can set the function equal to zero and solve for x:

x³ - x² - 6x = 0

One way to solve for x is to factor the polynomial:

x(x² - x - 6) = 0

This gives us three possible values for x: x = 0, x = 2, and x = -3. To verify that these are indeed the zeros of the function, we can substitute each value back into the original equation and see if it equals zero.

Therefore, the zeros of the polynomial function F(x) = x³ - x² - 6x are 0, 2, and -3.

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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The amount of juice served this year is given as follows:

513 gallons.

The amount of juice served this year is obtained applying the proportions in the context of the problem.

The amount last year was given as follows:

540 gallons.

The percentage of this year's amount relative to last year's amount is given as follows:

95%, due to the decay of 5%, 100 - 5 = 95%.

Hence the amount of juice served this year is given as follows:

0.95 x 540 = 513 gallons.

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Answer:

according to the above graph,

x = 1 and y = 3.

so the correct option is :

Answer:

smsndi n sjandiajd sjanrbxo

Answer:

x=6.4

Step-by-step explanation:

4^2+5^2=x^2

x=6.40

Answer:

\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

\(\boxed{f(x) = A \sin (B(x + C)) + D}\)

where:

Given values:

Calculate the value of B:

\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)

Substitute the values of A, B C and D into the standard formula:

\(f(x) = 5 \sin (16(x + 0)) + 7\)

\(f(x) = 5 \sin (16x) + 7\)

Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:

\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)

Answer:

60.5 m

Step-by-step explanation:

We can use the arc length formula to calculate the length of highlighted arc. Let the numerical measure of the highlighted arc be known as C, the angle measure be known as \(\theta\), and r as the radius of the circle.

Given variables:

Plug in all the variables into the formula and solve for the letter C.

\(\boxed{\text{Formula: C = }{2\pi r\huge{\text(}\frac{\theta}{360}\huge\text{)}}}\)

\(\implies C = }{2\pi (11)\huge{\text(}\dfrac{315}{360}\huge\text{)}}}\)   \(\implies C = }{22\pi \huge{\text(}\dfrac{315}{360}\huge\text{)}}} = 60.5 \ \text{m}\)

Therefore, Option A is the correct option.

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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Can you type what it says I can't see it that well.

i cant really see the question

Simplified answer is:

128y^10/x^10

Answer:

Step-by-step explanation:

Assuming that:

the promotion will be considered to be a  success if more than 10% use the coupons received.

and coupons are sent to 100 credit card customers.

Then, the null hypothesis and alternative hypothesis is:

\(\mathbf{H_o:p\le 0.10} \\ \\ \mathbf{H_a:p> 0.10}\)

sample size n = 100

Using the eagle file data;

the no of people in the sample who use the coupon = 13

then,

\(\hat p = \dfrac{x}{n}\)

\(\hat p = \dfrac{13}{100}\)

\(\hat p = 0.13\)

Test statistics can be computed as:

\(Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n}}}\)

\(Z = \dfrac{0.13 - 0.10 }{\sqrt{\dfrac{0.10(1-0.10)}{100}}}\)

\(Z = \dfrac{0.03 }{\sqrt{\dfrac{0.09}{100}}}\)

\(Z = \dfrac{0.03 }{\sqrt{0.0009}}\)

\(Z = \dfrac{0.03 }{0.03}\)

\(Z = 1\)

\(P-value = P(Z > 1) \\ \\ P-value = 1 - P(Z < 1 ) \\ \\ P-value = 1 - 0.8413 \\ \\ P-value = 0.1587 \\ \\\)

At ∝ = 0.05

Since, P-value is greater than ∝, then we fail to reject \(\mathbf{H_o}\).

Therefore, Eagle should not go with the promotion; a larger sample should be taken.

To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.

For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938

For New York: Ratio = 911,216 / 18.6 million = 0.049019

For Cairo: Ratio = 10,598 / 19.1 million = 0.000554

For Beijing: Ratio = 959,611 / 21.2 million = 0.045270

For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234

To calculate the owners per 100, we multiply the ratio by 100.

For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)

For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)

For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)

For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)

For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)

Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:

Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7

New York: Ratio = 0.049019, Owners per 100 = 4.9

Cairo: Ratio = 0.000554, Owners per 100 = 0.1

Beijing: Ratio = 0.045270, Owners per 100 = 4.5

Tokyo: Ratio = 0.064234, Owners per 100 = 6.4

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Answer:

I think that it is no.

Step-by-step explanation:

Becasue 15, 39 is more than the 16, 33

Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

Answer:

D

Step-by-step explanation:

Given

f(x) = 3x² - 24x + 10 ← factor out 3 from 3x² - 24x

     = 3(x² - 8x) + 10

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - 8x

f(x) = 3(x² + 2(- 4)x + 16 - 16) + 10

      = 3(x - 4)² - 48 + 10

      = 3(x - 4)² - 38 ← in vertex form → D

Answer:

d

Step-by-step explanation:

Answer:

The answer is "0.9192".

Step-by-step explanation:  

\(\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\\)

                          \(=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192\)

Answer:

Total payable brokerage = £2350

Step-by-step explanation:

Given that:

Fixed fee charged by broker = £150

Percent of fee charged = 5.50%

Amount invested by customer = £40,000

Fee charged = \(\frac{5.50}{100}*40000\)

Fee charged = 5.50 * 400 = £2200

Total brokerage payable = £150 + £2200 = £2350

Hence,

Total payable brokerage = £2350

Answer:

Step-by-step explanation:

10m^2 + 6mx - 11x^2 - 2m^2 + 4mx + 4x^2

-7x^2 + 10mx + 8m^2

quadratic equation

x = - 4m/7

x = 2m

----------------------

we always take the possitive value

x = 2m or m = x/2

Answer:

y=6

Step-by-step explanation:

y=3x     x=2

y=3(2)

y=6

For the given expression, the value of y is 6.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ y = 3x

Now, For value of x = 2;

The value of y is,

⇒ y = 3x

Substitute x = 2;

⇒ y = 3 × 2

⇒ y = 6

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