Given the exponential function [tex]f(x) = 9(3)^x[/tex], what is the value of f(x) when x =-1

Answer:

Step-by-step explanation:

The last step should be: using distributive property by taking out of parentheses the common factor √5

4√5 + 9√5 = √5(4 + 9) = 13√5

The error is made at the last step

it should be 13√5 instead of 13√10.

Answer:

-1>x

Step-by-step explanation:

Answer: A) 175%

B) 260%

C) 171.43%

Step-by-step explanation:

Answer:

1.4/3

2.13/5

3.12/7

Step-by-step explanation:

Answer:

7. 2b and b are like terms, [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms

8. 6 and 7 are like terms, 2n and [tex]\frac{n}{4}[/tex] are like terms

9. m and 2m are like terms, 3³ and 2 are like terms

10. 6³ and 6² are like terms, y³ and 5y³ are like terms

Step-by-step explanation:

Let us solve from No. 7 to No. 10

#7

∵ The terms are 2b, [tex]b^{6}[/tex], b, [tex]x^{4}[/tex], 3[tex]b^{6}[/tex], 2x²

∵ 2b and b have the same variable and the same power

∴ 2b and b are like terms

∵ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] have same variable b and same power 6

∴ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms

#8

∵ The terms are 6, 2n, 3n², 6m², [tex]\frac{n}{4}[/tex], 7

∵ 6 and 7 are numerical rational terms

∴ 6 and 7 are like terms

∵ 2n and [tex]\frac{n}{4}[/tex] have the same variable and the same power

∴ 2n and [tex]\frac{n}{4}[/tex] are like terms

#9

∵ The terms are 10k², m, 3³, [tex]\frac{p}{6}[/tex], 2m, 2

∵ m and 3m have the same variable and the same power

∴ m and 2m are like terms

∵ 3³ and 2 are numerical rational terms

∴ 3³ and 2 are like terms

#10

∵ The terms are 6³, y³, 3y², 6², y, 5y³

∵ 6³ and 6² are numerical rational terms

∴ 6³ and 6² are like terms

∵ y³ and 5y³ have the same variable and the same power

∴ y³ and 5y³ are like terms

Answer:

45 ways

Step-by-step explanation:

Combination method is appropriate for this question since it deals with arrangement.

i.e [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{(n - r)!r!}[/tex]

Since 8 records are to be selected from 10 available records. Then, the number of ways for the arrangement of the records can be determined as;

Let n = 10 and r = 8

[tex]^{10}C_{8} }[/tex] = [tex]\frac{10!}{(10 - 8)!8!}[/tex]

       = [tex]\frac{10!}{2!8!}[/tex]

       = [tex]\frac{10*9*8*7*6*5*4*3*2!}{2!8*7*6*5*4*3*2!}[/tex]

       = [tex]\frac{10*9}{2}[/tex]

       = 45

Therefore, the number of ways by which the records can be arranged is 45.

Answer:

it will be on platform 9 3/4

Step-by-step explanation:

Answer:

d)Divide both sides of the equation by 5.

Step-by-step explanation:

Marshall is writing an equivalent equation to solve for x. What should be his next step?

5x+4y=8

5x+4y-4y=8-4y

5x=8-4y

a)Add 5x to both sides of the equation.

b)Subtract 5x from both sides of the equation.

c)Multiply both sides of the equation by 5.

d)Divide both sides of the equation by 5.

5x + 4y = 8

Subtract 4y from both sides

5x + 4y - 4y = 8 - 4y

5x = 8- 4y

Divide both sides by 5

5x / 5 = (8 - 4y) / 5

x = (8 - 4y) / 5

Marshall's next step should be to divide both sides of the equation by 5

Answer: D)Divide both sides of the equation by 5.

Step-by-step explanation:

got it right edge 2021

Answer: 8 hours

Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.

Answer:

The rate of solution change is 2/3 teaspoons per minute

Step-by-step explanation:

Here, we want to calculate rate

From what we have in the question,

68 teaspoons of solution dropped out entirely within 102 minutes

So the rate is takes to drop out per minute will be:

68/102 = 2/3 teaspoon per minute

Answer:

C y=2x-6

Step-by-step explanation:

the diffrence in each one is two by using two as slope you get -6 as y intercept.

Answer:

y = 2x - 6 (Third option)

Step-by-step explanation:

(-6, -18), (-1, -8)

m = (-8 - (-18)) / (-1 - (-6))

m = (-8 + 18) / (-1 + 6)

m = 10 / 5

m = 2

-8 = 2(-1) + b

-8 = -2 + b

b = -6

y = 2x - 6

Hope this helps!

Answer:

168

Step-by-step explanation:

photos are enlarged by a certain factor, divide the new width by the old width and youll get the factor (12).

You can then multiply the original height by 12 to get the answer

12 X 14 =168

Answer:

D: 168.

Step-by-step explanation:

Divide the new width by the old width to find the scale factor of 12. Then multiply 12 by the old length of 14 to get 168 the new length.

Answer:

Don't come at me if I'm wrong, but I think it's y=-3/4x-1 1/3

Step-by-step explanation:

1) you have to subtract 3x from both sides (this makes it 4y=-3x-4)

2) you then divide by 4 on both sides (it will become y=-3/4=4/3)

3) then you simplify the fractions (it becomes y=-3/4x-1 1/3)

Answer: All the answers to this page 47

Step-by-step explanation:

Here’s all the answers to this page 47

It’s on a PDF the link should be attached

In the equation, y = 8.5x the variable y represents time and x represents the distance in miles.

The linear equation is defined as the equation having a degree of one or the power of the variable will be one. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that John ran 3 miles in 25.5 min the equation y = 8.5x. The equation is satisfying the answers. The solution will be calculated as follows:-

y = 8.5x

Here, the y variable is the total time and x is the distance in miles.

y = 8.5x

For 3 miles the time will be calculated as follows:-

y = 8.5 x 3

y = 25.5 minutes

Therefore, in the equation, y = 8.5x the variable y represents time and x represents the distance in miles.

To know more about the linear equation follow

https://brainly.com/question/1884491

#SPJ5

Answer:

y=-5x+2

Step-by-step explanation:

y-y=m(x-x¹)

y-2=-5(x-0)

y-2=-5x+0

+2 +2

y=-5x+2

Answer:

y = -5x + 2

Step-by-step explanation:

Answer:

what are the measurements of the semi circle

Step-by-step explanation:

Answer:

3 medium and 2 large pizzas.

Step-by-step explanation:

70= 2.5+(12.50x+15y)

70-2.5=67.5

Possibilities

67.5=12.5(1)+15(4) FALSE(72.5)

67.5=12.5(4)+15(1) FALSE (65)

67.5=12.5(2)+15(3)FALSE(52.5)

67.5=12.5(3)+15(2)

TRUE (67.5)

Answer:

31/40

Step-by-step explanation:

Given that:

Fraction of the trail walked intulally = 9/10

Fraction of the trail walked back = 1/8 before stopping to rest

His current distance from the beginning :

Distance walked initially - distance walked back

9/10 - 1/8

The L. C. M of 10 and 8 = 80

Hence,

9/10 - 1/8

= (72 - 10) / 80

= 62 / 80

= 31 / 40

Hence, his rest point or position is 31/40 from the beginning of the trail

Answer:

The slope is -3

Step-by-step explanation:

y=-3x-9

Answer:

Each equal part is called one-fourth or a quarter of the whole sheet. Thus, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole. It is expressed as 1/4 and read as one over four or one upon four.

Step-by-step explanation:

Answer: 8.55 feet

Step-by-step explanation:

We should equal the average depth to 1, so if it raises 3%, it raises 0.03. Simply add the original (1) plus what it rose (0.03) and multiply the original by that, so 8.3 × 1.03 = new depth. The result is 8.549 feets.

Answer: Use a math calculator it should help. If not sorry. :/

Step-by-step explanation:

Answer:

y= (-1/2)x+(5/2)

Step-by-step explanation:

equation point slope

(y-y1)=m(x-x1)

y-3 = -1/2(x+1) add -3 to both sides and distribute

y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2

y=(-1/2)x +(-1+6/2) solve

y= (-1/2)x+(5/2)

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

[tex](3 + 9) {x}^{2} - 9x + 9 = [/tex]

[tex]12 {x}^{2} - 9x + 9 = [/tex]

[tex]3(4 {x}^{2} - 3x + 3) [/tex]

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Answer:

7

Step-by-step explanation:

Answer:

y=-3

y=3/4x +0

Step-by-step explanation:

Answer:

Never

Step-by-step explanation:

Their slope is the same so they will go down the same distance every time, and since the first one touches the y-intercept at 1 and the other one touches the y-intercept at -2, it is completely impossible for them to ever intersect

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = [tex]-\frac{1}{4}[/tex] x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = [tex]\frac{3-2}{5-0}[/tex] = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)