If 6 is an element in the domain of f(x) =
7x - 16
5
what is the corresponding element in the range?
The corresponding element is (Simplify your answer.)

Answer:

(5x+1)(x+2)

Step-by-step explanation:

Factor 5x2+11x+2

5x2+11x+2

=(5x+1)(x+2)

Answer:

10x?

Step-by-step explanation:

for a polynomial of the form ax2 + bx + c, rewrite the middle term as a sum of two terms whose product is a*c = 5*2 = 10 and whose sum is b = 11

Answer:

1436.03 mm³

Step-by-step explanation:

I believe the 7mm should be the radius?

The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³

[tex]\frac{4}{3}[/tex]π * 343

since pi is rounded to 3.14, we get

1436.026 mm³

Step-by-step explanation:

to find f(6) we basically see which y coordinate correlates with x = 6

in this case the answer is 5

Answer:

1 mile

Step-by-step explanation:

Step one:

given

total distance = 15miles

Jack walks at a pace of 1.5 miles per hour

after 4 hours he will cover a distance of

1.5*4= 6 miles

Jill walks at a pace of 2 miles per hour

after 4 hours he will cover a distance of

2*4= 8 miles

Step two:

The total distance jack and jill must have covered after 4 hours is

8+6= 14 miles

the distance apart will be 15-14= 1 mile

Answer:

(0, 7)

Step-by-step explanation:

Using the midpoint formula expressed as;

M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]

where a and b are the ratios

Given

a = 2

b = 1

x1 = -3

y1 = 6

x2 = 6

y2 = 9

Get the coordinate of B

Get X;

X = ax1+bx2/a+b

X = 2(-3)+1(6)/2+1

X = -6+6/3

X = 0/3

X = 0

Get Y;

Y = ay1+by2/a+b

Y = 2(6)+1(9)/2+1

Y = 12+9/3

Y = 21/3

Y = 7

Hence the coordinate of B is (0, 7)

Answer:

0.874 < p <0.926

Step-by-step explanation:

The population proportion lies in the interval 0.8738 < p < 0.9262 with 95% confidence.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, A sample having n = 500, p = 0.90, and we have to construct a 95% confidence interval.

We know the confidence interval for a population proportion is,

CI = [tex]P \pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1 - P)}{n}}[/tex].

CI = 0.9 ± 1.96×{√(0.9×0.1)/500}.

CI = 0.9 ± 1.96×√(0.09/500).

CI = 0.9 ± 1.96×0.0134.

CI = 0.9 ± 0.0262.

Therefore,    0.9 - 0.0262 < p < 0.9 + 0.0262.

0.8738 < p < 0.9262.

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Answer:

d. 22%

Step-by-step explanation:

Yellow tokens = 11

Total tokens = 50

Probability of drawing yellow = 11/50 = 0.22

Multiply it by 100

you'll get 0.22*100 = 22 %

Hope you got it.

Answer:

Option D is correct

Step-by-step explanation:

Using the given diagram, we want to know the equation that is true

Option A is wrong as both are on a straight line and in fact should add up to equal 180 and not be equal to each other

Option B is not correct as both are supplementary and does not equal each other

Option C is not correct, both are corresponding to each other and should not add up to 90

Option D is correct

Both angles are supplementary as they are exterior angles that add up to 180

Answer:

Step-by-step explanation:

the correct answer is D

Answer: 1.)2.29   2.)16.21   3.)6.3  4.)20.555  5.)52.29

1.)12.74  2.)2.832  3.)14.25  4.)333.98  5.)77.4 Glade to help

Step-by-step explanation:

Answer:

So interest rate is 8% per annum

Step-by-step explanation:

Principal amount = $3,006

Amount at end = $3,967.92

Time = 4yrs

interest money = ($3967.92 - $3006)  

also equal to = 4 * (x/100) * $3,006

Where x is the interest rate per annum

So, 4 * (x/100) * $3,006 = ($3967.92 - $3006)

        x = 8%

So interest rate is 8% per annum

Answer:

Step-by-step explanation:

15/100 x 100

100 on the right hand side being the oysters she must collect and the 15% being the percentage of oysters she has collected divided by 100 which is used when finding out the percentage of numbers

Step-by-step explanation:

B) not an arithmetic sequence

 d not equal in the sequence

Answer:

13×(22/7)whole square

Answer:

42.25π

Step-by-step explanation:

The circumference is the diameter times pi.

This means that 13π/π=13 (the diameter)

The radius is diameter/2, so it is 13/2 which is 6.5

The area is the radius squared times pi

6.5^2 = 42.25

42.25π is the area

Answer:

slope is y=10x.

Slope shows that she is consistently burning 10 calories per minute

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer: a. AB = 15cm long.

b. AB = 11.1cm long.

Step-by-step explanation: Image of AB after a dilation of scale factor 5 is 5 × 3cm = 15cm long.

Image of AB after a dilation of scale factor 3.7 is 3cm × 3.7 = 11.1cm long.

Answer:

May you put the question is? Or the screenshot of it?

Step-by-step explanation:

Answer:

What do you need help with?

Answer-

Total kicks that were attempted = 40

Explanation

Goals blocked by Kyra = 55%;

Goals which could not be blocked by Kyra = 100 - 55 = 45%

Goals made during team drill = 18

Let total kicks attempted be 'n';

Therefore;

(18/n) × 100 % = 45 %

18/n = 45/100;

n = 1800/45;

n = 40

The time period "percentage" is derived from the Latin per centum, which means "hundred" or "with the aid of the hundred".[5][6] The sign for "percentage" evolved via gradual contraction of the Italian term in line with cento, which means "for 100". The "according to" turned into regularly abbreviated as "p."—subsequently disappeared completely. The "cento" was reduced in size to two circles separated through a horizontal line, from which the present day "%" image is derived.

In mathematics, a percentage (from Latin: in line with centum, "by a hundred") is quite a number or ratio expressed as a fraction of 100. it's miles often denoted using the percentage signal, "%",[1] although the abbreviations "pct.", "pct" and sometimes "pc" also are used.[2] A percentage is a dimensionless number (natural wide variety); it has no unit of size.

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Answer:

I think its C. correct me if I'm wrong

Step-by-step explanation:

[tex] \frac{1}{2} (3 + 4t - 10)[/tex]

[tex] \frac{3}{2} + \frac{4t}{2} - \frac{10}{2} [/tex]

[tex] (\frac{3}{2} - \frac{10}{2}) + 2t [/tex]

[tex] \frac{ - 7}{2} + 2t[/tex]

[tex] - 3.5 + 2t[/tex]

Answer:

14.00x .15=2.10

14.00+2.10=16.10

Step-by-step explanation

$16.10

Step-by-step explanation:

f(0)=8

Coordinate: (0,8)

y intercept,c: 8

f(4)=20

Coordinate: (4,20)

gradient, m

= (20-8)/(4-0)

=3

Y=mx+c

f(x)=3x+8

f(x)=3x+8 is the  linear function f with the values f(0) = 8 and f(4) = 20.

A linear function is a function that represents a straight line on the coordinate plane.

The given functions are f(0)=8 and f(4) =20

For f(0)=8

Coordinate: (0,8)

y intercept, c: 8

For f(4)=20

Coordinate: (4,20)

gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20

=( y₂-y₁)/(x₂-x₁)

= (20-8)/(4-0)=12/4

=3

The linear equation is in the form, y=mx+c

So f(x)=3x+8, where 3 is the slope and 8 is y intercept.

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solutions

Solution: Using a table

A B C D E F

Number of Minutes 150 15 7.5 30 45 60

Number of Miles 20 2 1 4 6 8

The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.

If we look in column E, we can see that it would take her 45 minutes to run 6 miles.

If we look in column B, we can see that she could run 2 miles in 15 minutes.

If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.

If we look in column C, we can see that her pace is 7.5 minutes per mile.

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5minutesmile×6 miles=45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

The descriptions of the quadratic functions f(x) and g(x) are as follows:

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

x g(x)

0 −5

1 3

2 11

3 3

4 −5

Which sentence compares the two functions' maximum values the most effectively?

(a)The maximum value is the same for both functions.

(b) f(x) has a greater maximum value than g(x).

(c) The greatest value of g(x) is bigger than that of f(x).

(d) The maximum values cannot be determined.

The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).

The maximum value is the point at which a function reaches its peak is known as its maximum value.

To compare both functions.

Take function f(x)= [tex]-2x^{2} +9[/tex]

Differentiate the function f(x)

f'(x) = -4x

Take f'(x) as 0

-4x = 0

x = 0

Substitute x = 0 in f(x)

f(0) = [tex]-2(0)^{2} +9[/tex]

f(0) = 9

This means that the greater value of function f(x) is 9.

From the table of function g(x), the maximum is 11.

11 is greater than 9

Therefore, The greater value of g(x) is bigger than that of f(x).

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Answer:

C. 13

Step-by-step explanation:

65% = 65/100

divide 65 by 5= 13

why? because each answer is worth 5 marks so we divide the total by 5.