Which expression is equivalent to the given expression?
3x^2 + 5x – 7(x^2 + 4)
A. x^2+28
B. x^2+4
C. -4x^2+5x -4
D. -4x^2+5x-28

Answer:

The sum of c and twice d is

c + 2d

-TheUnknownScientist 72

9514 1404 393

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.

  x/45 = 9/30

__

Multiplying by 45 gives the solution:

  x = 45(9/30) = 13.5 . . . meters

The mass of the load in kilogram is an illustration of subtraction operation

The mass of the load in kilogram is (b) 1645 kg

The complete mass is given as:

[tex]\mathbf{m_t = 2.87\ tonnes}[/tex]

The mass of the lorry is given as:

[tex]\mathbf{m_l = 1.225\ tonnes}[/tex]

The mass of the load is calculated by subtracting the mass of the lorry from the mass of the lorry and its load.

So, we have the following equation:

[tex]\mathbf{m_{load} = m_t - m_l}[/tex]

Substitute known values

[tex]\mathbf{m_{load} = 2.87\ tonnes- 1.225\ tonnes}[/tex]

Subtract

[tex]\mathbf{m_{load} = 1.645\ tonnes}[/tex]

Convert to kilogram

[tex]\mathbf{m_{load} = 1.645 \times 1000kg}[/tex]

Multiply

[tex]\mathbf{m_{load} = 1645 kg}[/tex]

Hence, the mass of the load in kilogram is (b) 1645 kg

Read more about subtraction at:

https://brainly.com/question/20671719

Answer:

Only Anna and Donna had correct answers.

Step-by-step explanation:

Answer:

Its 4.09

Step-by-step explanation:

Please mark brainliest if correct. :)

Answer:

[tex]5 - 8 \geqslant z + 4 \\ - 3 \geqslant z + 4 \\ - 3 - 4 \geqslant z \\ \boxed{z \leqslant - 7}[/tex]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that neither receives a coupon is P(X = 0), thus:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81[/tex]

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at https://brainly.com/question/25326823

The acres of land she will need to produce 24 tons of nuts is 28 acres.

The farmer produces 9 tons of nuts from 10 1 / 2 acres of land.

The acres of land needed to produce 24 tons of nuts can be calculated below:

9 tons of nuts needs 10 1 / 2(21 / 2) acres of land

24 tons of nuts will need ? acres of land

cross multiply

Acres of land needed = 24 × 21 / 2 / 9

Acres of land needed = 252 / 9

Acres of land needed = 28 acres

read more: https://brainly.com/question/11259495?referrer=searchResults

Answer:

23

Step-by-step explanation:

=3 ( 8 - 4 ) + 2 × 5.5

= 3 (4)+ 2× 5.5

= 12 + 11

=23

Answer:

yes

0x=no x

x has no value in this case

Answer:

D

Step-by-step explanation:

Using the arrangements formula and the probability concept, it is found that:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 4 runners, hence, the number of different ways the race can be completed is:

[tex]A_4 = 4! = 24[/tex]

Considering A first and C second, for the third and fourth positions, it is an arrangement of 2 elements, hence:

[tex]A_2 = 2! = 2[/tex]

The probability is:

[tex]p = \frac{2}{24} = \frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.

A similar problem is given at https://brainly.com/question/24648661

Answer:

x = 134°

Step-by-step explanation:

Using the exterior angle theorem, we can say that x is the sum of the two angles shown. 70 + 64 = 134. This means x = 134.

Answer:

the answer is:

−4x+14

Step-by-step explanation:

Simplify the expression.

Answer:

− 4 x + 14

Step-by-step explanation:

ummm sry not rly sure

6 gallons

If you have 4 gallons for 30 plants, half of 4 gallons is 2, which will water 15 plants. Add 4 gallons plus 2 gallons, it gives you 6 gallons and 45 plants.

It use 6 gallons of water to water 45 plants.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE have been given that;

Let 4 gallons of water ... 30 plants

Let x gallons of water = ? ... 45 plants

The water will it take to water 45 plants, it can be calculate this using the following steps;

4 * 45 = x * 30

180 = 30 * x    /30

x = 180 / 30

x = 6 gallons of water

Therefore, We will use 6 gallons of water to water 45 plants.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6

x = 1/2

Answer:

80%

Step-by-step explanation:

DO

100 divided by .20

Then move the decimal point two spaces to the right

The value of m from the given equation is 3

Given the expression

5m + 4 = 19

Subtract 4 from both sides using the subtraction law of equality.

5m + 4 - 4 = 19 - 4

5m = 19 - 4

5m = 15

Divide both sides by 5 using the Division law of equality

5m/5 = 15/5

m = 3

Hence the value of m from the given equation is 3

Learn more on linear equation here: https://brainly.com/question/2159099

The explicit formula for calculating the sum is

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

The sum of the nth term of a sequence is expressed as;

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]

Similarly for the sequence:

1 + 2+ 3 + 4+...

[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]

Taking the product of the sum to get the explicit formula for calculating the sum

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

Learn more here: https://brainly.com/question/24547297

Answer:

Factor the numerator and denominator and cancel the common factors.

Step-by-step explanation:

3x² + 5x - 1

Answer:

2/5

Step-by-step explanation:

Answer:

60 inches or 5 feet

Step-by-step explanation:

the average height of a brick would be 3 inches

Step-by-step explanation:

f(x) = x

g(x) = f(x - 11)

g(x) = x

g(x) = (x - 11)

g(x) = x - 11

So, g(x) = x - 11

Answer: To combine like terms, we must first understand what they are. Like terms are, well like. An example will make more sense. See the equation 2 + 4x - 5y * 0.2xy. Here, we have no like terms. Why? Because 2 has no variable while 4x has x. However, 4x and 5y don't have the same variable so they are NOT like either. Do not fall into the 0.2xy trap either because that is not like with 4x or 5y. Now that you (hopefully) understand let us try an example.

5x * 2x - 24 = 16

As you can see, the like terms here are 5x and 2x as well as 4 and 16. Now let us simplify by bringing the like terms together.

5x * 2x = 16 + 24

10x^2 = 40 (Be careful here! since we are multiplying x twice it will become x^2)

x^2 = 40/10

x^2 = 4

x = 2 (or -2)

And there you go! You just simplified using like terms.

Would appreciate brainliest <3

Answer:

the answer is D broski

Step-by-step explanation:

trust me on this one

Answer:

63 1/4

Step-by-step explanation:

[tex]\cfrac{\stackrel{\downarrow }{1}}{2}+\cfrac{\stackrel{\downarrow }{2}}{3}\implies \cfrac{}{\underset{\textit{using the LCD of}}{6}}\implies \cfrac{(3)(\stackrel{\downarrow }{1})~~ +~~(2)(\stackrel{\downarrow }{2})}{6}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6}[/tex]

Answer:

hi

Step-by-step explanation:

hi

hi

hi

gm

have a nice day

Answer:

m=-2

Step-by-step explanation:

The slope equation is y=mx+b.

This means that

y is y

m is -2

x is x

and

b is 4