What equation is equivalent to 5(2p - 6)= 40

Answer: 6x + 8y

Hope this helps!

Answer:

9x² + 24xy + 16y²

Step-by-step explanation:

(3x + 4y)²

= (3x + 4y)(3x + 4y)

each term in the second factor is multiplied by each term in the first factor.

3x(3x + 4y) + 4y(3x + 4y) ← distribute both parenthesis

= 9x² + 12xy + 12xy + 16y² ← collect like terms

= 9x² + 24xy + 16y²

The  equation which can be represented by the algebraic model are provided in option A and option B as,

[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]

[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]

Algebraic model are the expression which consist the variables, coefficients of variables and constants.

The algebraic model are used represent the general problem in the mathematical way to solve them.

Let's check the first option,

[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 - 2x - 3 = x^2+x-3x-3\\x^2 - 2x - 3 = x^2-2x-3[/tex]

As, the LHS is equal to the RHS. Thus, this is correct option.

Second option is given as,

[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 - 4x+ 3 = x^2 -x-3x+3\\x^2 - 4x+ 3 = x^2 -4x+3[/tex]

As, the LHS is equal to the RHS. Thus, this is correct option.

Third option is given as,

[tex]x^2 +2x+ 3 = (x +3)(x - 1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 +2x+ 3 = x^2 -x+3x - 3 \\x^2 +2x+ 3 = x^2 +2x - 3[/tex]

As, the LHS is not equal to the RHS. Thus, this is not correct option.

Forth option is given as,

[tex]x^2 +4x - 3 = (x+ 3)(x +1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 +4x - 3 = x^2+ x+3x +3\\x^2 +4x - 3 = x^2+4x +3[/tex]

As, the LHS is not equal to the RHS. Thus, this is not correct option.

Hence, the  equation which can be represented by the algebraic model are provided in option A and option B as,

[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]

[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

B. x2 – 4x + 3 = (x – 3)(x – 1)

Step-by-step explanation:

im right

Answer:

7529536[tex]m^{36}[/tex]

Answer:

17 tour guides

Step-by-step explanation:

First, we need to divide 83 by 5.

As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.

Answer:

They need 17 tour guides

Step-by-step explanation:

If we divide 83 by 5, we would get 16.6, and since we can't have 16.6 tour guides, we round to the nearest whole number, which is 17.

To order for all students to participate, they would need 17 tour guides.

Answer:

(−12.5) (11.5) = −143.75 Or -12.5 < 11.5

Step-by-step explanation:

hope this helps

Answer:

|-12.5|>|11.5|

Step-by-step explanation:

When you take the absolute value of a number you're essentially measuring the scalar value or magnitude of that number. "How big is that number as a number not as in + or -".

In other words the number becomes positive

|-12.5|=12.5

|11.5|=11.5

since 12.5>11.5

we can then say

|-12.5|>|11.5|

Answer:

0.390625 grams

Step-by-step explanation:

can i get a second opinion on this

Answer:

11 pencils cost £9.35.

Step-by-step explanation:

Given;

7 pencils = £5.95

1 pencil = 5.95 ÷ 7

= £0.85

Now,

11 pencils = 11 × 0.85

= £9.35

Answer:

9.35$

Step-by-step explanation:

to find the cost of 11 pencils first we need to find the price of 1.

5.95 divided by 7 = 0.85$ (the price of one pencil)

we need to find the price of 11 pencils though.

0.85x11= 9.35$

Answer:

D. 63

Step-by-step explanation:

Corresponding angles are equal.

Answer:

the answer would be 63.

explanation:

the angles are corresponding therefor they are equal.

Answer:

1.) x=61 2.) c=62

Step-by-step explanation:

Answer:

x=61    c=62

Step-by-step explanation:

1)multiply both sides by seven

56=x-5 add 5 to both sides

61=x

2) multiply both sides by -3

63=c+1 subtract one from both sides

c=62

Answer:

3 and 5

Step-by-step explanation:

correct on edge 2020

Answer:

3 and 5

Step-by-step explanation:

it is correct on edge, also because the graph goes up and down and not a U shape the possible degrees will only be negative

Answer: A Square

Step-by-step explanation: In the case of an equilateral triangle, just two circles are formed.

Answer:

The mark-up percentage is 70%

Step-by-step explanation:

Let us revise the rule of the mark-up percentage

[tex]M=\frac{S-P}{P}[/tex] × 100%, where

let us use this rule to solve the question

∵ The buyer purchased leather couches in bulk, paying $750 each

∴ P = 750

∵ The stores will sell each leather couch for $1,275

∴ S = 1,275

→ Substitute them in the rule above

∴ [tex]M=\frac{1275-750}{750}[/tex] × 100%

∴ [tex]M=\frac{525}{750}[/tex] × 100%

∴ M = 70%

∴ The mark-up percentage is 70%

Answer:

the one on the bottom row is that graph that represents a function.

Step-by-step explanation:

Answer:ohn is welding a truss for a bridge. He determines the angles made by the sections he

welds together, so that the truss will be uniform. The top of the truss must be parallel to

the bottom of the truss. If an angled support makes a 125' angle with the top, what must

the measure of the interior angle on the same side of the transversal with the

Step-by-step

Step-by-step explanation:

the rules of the angles of 2 lines intersecting each other.

that means the angles on one side of the first line sind the intersection point, are the same as on the other side of the line - just left-right interchanged.

and to have a third line, parallel to the first line, where the exact same angles have to be, where the second line intersects the third line (a parallel line is like a mirror image of the first line : every look and feel has to be the same).

and then remember : all angles around a single point in one side of a line must be together 180°.

so, if the support beam has an angle of 125° with the top "line", the second angle there (the exterior Angie at that point) is then 180 - 125 = 55°.

this is all at the bottom side of the top "line".

these angles are therefore left-right exchanged the same on the top side of the top "line". so, 55° and 125° instead of 125° and 55°.

these angles at the top of the top "line" must be now exactly the same at the top of the parallel bottom "line" of the truss.

so, the interior angle there is 55°. and the exterior angle is 125°.

Answer:

A train backed up 7 ft and then moved forward 7 ft

Step-by-step explanation:

When the train moved back 7 feet, it would be negative, -7. Then it went forward again 7 feet. The train is in the same place as it was before, 0.

Answer:

6302.40

Step-by-step explanation:

STEP 1: Find 20 percent of 5252

[tex] \frac{20}{100} \times 5252 \\ = \frac{5252}{5} = 1050.4[/tex]

STEP 2: Add the result to the initial money

[tex]5252 + 1050.4 = 6302.4[/tex]

Hence, the answer is Rs. 6302.40

Answer:

A. [tex]f(x)=451(0.68)^x[/tex]

Step-by-step explanation:

Function [tex]f(x)=451(0.68)^x[/tex] best models the given data.

Answer:

The degree of f(x) is even, and the leading coefficient is negative. There are  3 real zeros, and 1 relative minimum values.

Step-by-step explanation:

We have the graph of f(x).

First, since both end behaviors are the same, our function must be an even-degree.

Second, since both end behaviors are going towards negative infinity, this means that the leading coefficient of our function must be negative.

The real zeros are whenever the graph touches or crosses the x-axis. We can see that this happens three times. I've circled them in blue in the image below.

Finally, relative minimum values are the lowest points in a graph, and then happen between a decreasing and then an increasing curve.

From, the graph, we only have one relative minimum value. This is circled in black in the image below.

Note that the arrows whether the curve is decreasing or increasing. We can see that the curve to the left of the minimum is decreasing, while the curve to the right of the minimum is increasing.

So, our solution is:

The degree of f(x) is even, and the leading coefficient is negative. There are  3 real zeros, and 1 relative minimum values.

And we're done!

Answer:

6x+9

(2x+3)3

you would distribute 3 into 3 and 2x to get...

6x+9

Answer:

25t + 100 = 550

Step-by-step explanation:

Notice that for every week, the balance increases by $25. That means t will be multiplied by 25 like this: 25t

There is already $100 on top of that, so add 100 to it like this: 25t + 100

Since Adam is saving for a $550 computer, this sum has to equal 550

25t + 100 = 550

If you want to find out how many weeks it will take to get that computer, subtract 100 from both sides

25t + 100 = 550

      - 100   - 100

25t = 450

Divide both sides by 25

25t/25 = 450/25

t = 18

It will take Adam 18 weeks to save up and buy that computer.

Answer:

oh its simple .

Step-by-step explanation:

just listen to whatever that guy above me told u .

Answer: C. rationalizing the denominator

Rationalizing the denominator is a useful step to simplify expressions where there are square roots in the denominator. It doesn't apply to actually solving a quadratic. On the other hand, the quadratic formula can solve quadratics. The same applies for choices B and D as well.

Answer:

3.2 units to nearest tenth.

Step-by-step explanation:

cos 29 = x /3.7      (cosine = adjacent side / hypotenuse)

x = 3.7 * cos 29

= 3.236

Answer:

-7+9=2

-9+7=-2

they both are equal to the same number so my answer to this question would be true.

hope this helps...

Answer:

37/8

Step-by-step explanation:

4*8=32

32+5=37

Answer:

37/8

Step-by-step explanation:

First you would would muiliply the denomater my the whole number and then add the nummerater.

Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let v represent the value of the account after y years. Hence:

For Juana:

[tex]v=1500(1.03)^y[/tex]

Marquez invests three years before Juana,  Hence:

[tex]v'=1500(1.03)^{y+3}=1500(1.03)^y(1.03)^3=(1.03)^3*v=1.092727v[/tex]

Calvin invests two years after Juana. Hence:

[tex]v"=1500(1.03)^{y-2}=1500(1.03)^y*(1.03)^{-2}=(1.03)^{-2}v[/tex]

v' / v" = ((1.03)³ * v) / ((1.02⁻²) * v) = 1.159 = 115.9%

Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.

Find out more on exponential function at: https://brainly.com/question/12940982

40% off of a textbook that costs $89

= 89 - 89x40% = 53,40

so better to get the used copy for £39.99

Answer:

probably the $39.99 one it's a bit more cheaper