Use the Distributive Property to multiply. –5(2x – 5)\

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer:

39.936 ( not rounded )

Step-by-step explanation:

Use Pythagorean theorem

a^2 + 6.4^2 = 9^2

height = 6.24 (rounded to nearest hundredth)

1/2 * base * height = area

1/2 * 12.8 * 6.24

= 39.936 ( not rounded )

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

all real values of x

Step-by-step explanation:

The domain of g is the values that x can take

There are no restrictions on the values that x can take

Answer:

[tex]\boxed{\mathrm{E}}[/tex]

Step-by-step explanation:

[tex]g(x)=5-2x[/tex]

The domain of a function is the set of all possible inputs for the function.

The value of [tex]x[/tex] can be all real numbers,

There are no restrictions on the value of [tex]x[/tex].

Answer:   e

Step-by-step explanation: 12/16          6/8    3/4

Answer:

B and E.

Step-by-step Explanation:

B: 6/8

    6*2=12

    8*2=16

    12/16

E: 3/4

    3*4=12

    4*4=16

    12/16

Hope this helps!!!!!

Answer:

I think this is the distributive property.

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

by definition we can write

[tex](x-5)(x+4)(x-1)[/tex]

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]

hope this helps

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

Answer:

Statements 1,3 and 4 are correct

Step-by-step explanation:

We want to select the three correct statements as related to demand and supply.

Statement 1 is correct

An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease

Statement 2 is incorrect

A decrease in demand should drive down the prices of commodities for normal goods

Statement 3 is correct

A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods

Statement 4 is correct

An increase in demand would make suppliers increase the price they place on their commodities.

Answer:

8.8

Step-by-step explanation:

set up a system

let x be sour keys and y be chocolate bars

2.65=15x+2y

3.35=10x+3y

then solve

X turns out to be 0.05

y turns out to be 0.95

multiply : 24*0.05=1.2

multiply : 0.95*8=7.6

add : 1.2+7.6 = 8.8

Answer: A

Step-by-step explanation:

Answer:

A. The side opposite the 60° angle has a length of √3/2

C.Sin(60°)=√3/2

E.The other acute angle of the triangle is 30°

Step-by-step explanation:

The diagram has been attached to the answer

A. The side opposite the 60° angle has a length of

B. The side opposite the 60° angle has a length of .

C. sin(60°) =

D. sin(60°) =

E. The other acute angle of the triangle is 30°.

Answer

The side opposite the 60° angle has a length of the square root of 3/2

Opposite side of the 60° angle has a length of √3/2

sin(60°) = the square root of 3/2

Sin(60°)=√3/2

The other acute angle of the triangle is 30°

Proof:

Total angle in a triangle=180°

180°-60°-90°

=30°

Answer:

A, D, E

Step-by-step explanation:

I do is big smart

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

Answer:

2

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Answer:

There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.

Answer:

Step-by-step explanation:

[tex]1500 \: miles \: \: per \: hour[/tex]

[tex] = \frac{15000}{60 \times 60} [/tex]

[tex] = \frac{15000}{3600} [/tex]

[tex] = \frac{25}{6} [/tex]

[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

A, C, E, G

Step-by-step explanation:

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Given that, there are only two available choices, which are a black or white duck, this can be represented using a coin: H→White duck, T→Black Duck

Hence, to represent a set of possible outcomes, the coin has to be tossed three times.

Thus, we assume that, at the minimum we have total number of Ducks = 3 Black + 3 White = 6 Ducks

Total Favorable Outcome = 2 White + 1 Black

Total Possible Outcome = Selecting 3 Ducks (2 White +1 Black) from 6 Ducks

Formula to Calculate Probability

     =  Total favourable outcome ÷ Total possible outcome

Use ,C(n,r)= n! / (n - r)! r!

Therefore, the Probability of two white ducks one black duck swimming together

              = ³C² * ³C¹ ÷ 6C3 = 9/20

To use Simulation Coin Flip, we have the following:

H→White duck, T→Black Duck

HHH→Three White Ducks Swimming together

TTT→Three black ducks Swimming together

HHT→Two white duck and a Black Duck swimming together

HTH→Two white duck and a Black Duck swimming together

THH→Two white duck and a Black Duck swimming together

TTH→Two Black duck and a White Duck swimming together

THT→Two Black duck and a White Duck swimming together

HTT→Two Black duck and a White Duck swimming together

Finally, to find the probability, divide the observed desired outcomes by the total number of trials.

Answer:

There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.

Step-by-step explanation:

edg2020

The function with the lowest output values as x approaches infinity is A.

The function with the greatest output values as x approaches infinity is B

Answer:

P(A|B) = 8/15

Step-by-step explanation:

Mathematically;

P(A|B) = P(A ∩ B)/P(B)

Thus we have

P(A|B) = 1/5 divided by 3/8

= 1/5 * 8/3 = 8/15

Answer: B

Step-by-step explanation: graph b

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Answer:  The total number of vehicles in the bar graph does not add up to 30.

The spacing between the bars should be equal.  

It would be helpful to put the number of each type at the top of its bar.

It may be useful to give the location and time/date of the observation in the title of the graph.

Step-by-step explanation:  The total 12 + 8 + 6 = 26.

My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

The solution is

The cost of one adult ticket = $ 7

The cost of one child ticket = $ 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one adult ticket be = x

Let the cost of one child ticket be = y

Now , for Family 1 :

2 adults and 3 children and costs a total of £20 to enter the park

Substituting the values in the equation , we get

2x + 3y = 20   be equation (1)

Now , for Family 2 :

1 adult and 4 children and costs a total of £15 to enter the park

Substituting the values in the equation , we get

x + 4y = 15   be equation (2)

On simplifying the equations , we get

Multiply equation (2) by 2 , we get

2x + 8y = 30   be equation (3)

Subtracting equation (1) from equation (3) , we get

5y = 30 - 20

5y = 10

Divide by 5 on both sides of the equation , we get

y = 2

So , the cost of one child ticket is $ 2

Now , substituting the value of y in equation (2) , we get

x + 4y = 15

x + 4 ( 2 ) = 15

x + 8 = 15

Subtracting 8 on both sides of the equation , we get

x = 15 - 8

x = 7

So , the cost of one adult ticket is $ 7

Hence , the value of x is $ 7 and value of y is $ 2

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.