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Answer:

[tex] \huge \boxed {x = 1}[/tex]

Step-by-step explanation:

Both bases are the same so you will be able to solve the equation from exponent and exponent.

[tex]2x - 3 = - 2x + 1 \\ 2x + 2x = 1 + 3 \\ 4x = 4 \\ x = 1[/tex]

Answer Check

Substitute x = 1 in the equation.

[tex] {6}^{2(1) - 3} = {6}^{ - 2(1) + 1} \\ {6}^{2 - 3} = {6}^{ - 2 + 1} \\ {6}^{ - 1} = {6}^{ - 1} [/tex]

Both are same each sides. Therefore the equation is true.

Answer:

[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]

Step-by-step explanation:

The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.

Plugging in our values, we get:

[tex]3^2\pi=9\pi\approx28.27[/tex].

Answer:

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Step-by-step explanation:

1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]

2. Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]

3.Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]

4. Remove parentheses.

[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]

5. Collect like terms.

[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]

6. Simplify.

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Thus. the answer is,

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Answer:

C. The value of z has to be greater than 1

Step-by-step explanation:

[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]

Answer: i think the answer is b

Step-by-step explanation:

think u

Answer:

C.) y=2x-13

Step-by-step explanation:

Using the line of best fit, it is found that the estimated distance for a trip that takes 20 minutes is of 9.757 miles.

It gives the estimated distance in miles of a trip that takes x minutes, according to the following function?

y = 0.467x + 0.417.

In this problem, the trip took x = 20 minutes, hence the distance is given by:

y = 0.467 x 20 + 0.417 = 9.757 miles.

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Answer:

A=21

Step-by-step explanation:

4 decilitres= 0.4 litres

8.4/0.4=21

Answer:

The answer is 4

Step-by-step explanation:

x

=

ln

(

75

)

ln

(

3

)

Decimal Form:

x

=

3.92994704

…

Answer: Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x

=

ln

(

75

)

ln

(

3

)

Decimal Form:

x

=

3.92994704

…

Step-by-step explanation:

Answer:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] are vertical angles and are congruent (have the same measure).

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] represent a pair of vertical angles. They are opposite angles to two intersecting lines. Vertical angles are always congruent. None of the other answer choices are implied in the figure.

Answer:

Step-by-step explanation:

The answer is 1.77%.

Answer:

1.75%

Step-by-step explanation:

1.75%is correct answer

Answer:

The answer is -8

Answer:

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

Answer:

Step-by-step explanation:

[tex]50+2x=20+5x\\\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\\\50+2x-50=20+5x-50\\\\Simplify\\\\2x=5x-30\\\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\\\2x-5x=5x-30-5x\\\\Simplify\\\\-3x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\\\frac{-3x}{-3}=\frac{-30}{-3}\\\\Simplify\\\\x=10[/tex]

Answer:

2

Step-by-step explanation:

If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means

there can only be 2.5 different committees because you can't subtract 3 from 8

Answer:

125790 different committees can be chosen.

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 20-member student council.

We need to find How many different committees can be chosen?

Since the order is not important, so we use Combinations to solve the question.

The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]

In the question given: we have n = 20 and r = 8

Putting values and finding the number of ways committees can be chosen:

[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]

So, 125790 different committees can be chosen.

Answer:

3(x+2) - 5

Step-by-step explanation:

Answer:

65 %

Step-by-step explanation:

13/20 = 65/100

Answer:

65%

Step-by-step explanation:

20/100 =1/5

5*13=65

The total charge with tax will be 1.08c.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Grocery store charges = c

And, Tax is 8% added to the charges.

Now,

Since, Tax is 8% added to the charges.

Hence, The total charge with tax = c + 8% of c

                                                   = c + 8/100 × c

                                                   = c + 0.08c

                                                   = 1.08c

Thus, The total charge with tax = 1.08c.

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Answer:

800 CAD = 508 EUR

Step-by-step explanation:

From the above question:

1 CAD = 0.635 EUR

800 CAD = x

Crososs Multiply

x = 800 CAD × 0.635 EUR

x = 508 EUR

Therefore,

800 CAD = 508 EUR

Answer:

that is a whole lot of simple intrest

Answer:

40 degrees

Step-by-step explanation:

Answer:

a. < less than

b. > greater than

c. > greater than

d. > greater than

e. < less than

Plzzzzz give me Brainliest!  

Answer:

funn what funn

Step-by-step explanation:

you soposde to be ban

Answer:

15 inches

Step-by-step explanation:

42 = 2L + 2(6)

first, we need to isolate L.

solve 2(6) to make this easier

42 = 2L + 12

42 - 12 = 2L + 12 - 12 ( this cancels out 12. )

30 = 2L

30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )

15 = L

Answer:

p = -2

q = -3

Step-by-step explanation:

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is 1

So the equation is;

y = mx + 1

The x-intercept is -2

the value of y at the x-intercept is 0

0 = -2m + 1

1 = 2m

m = 1/2

so;

1/2 * p

p/2

q added to y-intercept;

q + 1

Let us get the equation of the second plot

y-intercept is -2

Equation is;

y = mx - 2

We can get slope using x-intercept

x-intercept is -2

0 = -2m - 2

2m = -2

m = -1

So;

p/2 = -1

p = 2 * -1 = -2

For the value of q;

q + 1 = -2

q = -2-1 = -3

Answer:

Heba has a greater balance and Nour has more debt