Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1

Answer:

You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!

Step-by-step explanation:

Answer:

72 : n = 18. n x 18 = 72

n : 18 = 72. 72 x 18 = n

72 : 18 = n

Step-by-step explanation:

Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].

Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.

The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]

where

[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]

substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]

the approximate volume of the frustum is [tex]1769cm^3[/tex]

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Using the linear function, it is found that the correct option is given by:

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

Answer:

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (5, 7 ) , then

y = a(x - 5)² + 7

To find a substitute (10, - 3 ) into the equation

- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )

- 10 = 5²a = 25a ( divide both sides by 25 )

[tex]\frac{-10}{25}[/tex] = a , that is

a = - [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]

Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]

Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]

Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]

Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]

Cross out the common factor: 5

get the result: 5  

Answer: 5

Answer:

The correct expression that can be represented by n decreased by thirty-one is n - 31

let

The unknown number = n

n decreased by thirty-one

= n - 31

If n = 29

n - 31

= 29 - 31

= -2

The correct expression is 31-n.

False

This is a subtraction expression.

True

This is an addition expression.

False

To evaluate, substitute 29 for the variable in the expression

True

To evaluate, substitute 31 for the variable in the equation.

False

To evaluate the expression, add 31 to 29.

False

The correct expression is n - 31

True

To evaluate the expression, subtract 31 from 29.

True

Step-by-step explanation:

the answer is a b e g f hop this helps u

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.

Answer:

However much he had on his card in the first place.

Step-by-step explanation:

Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.

On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.

In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve

Answer:

140 degrees

Step-by-step explanation:

To find the value of an internal angle within this polygon, we can just multiply the number of triangles by 180 ° , then divide by the number of internal angles, which is nine. Excellent! So the interior angle of a 9 -sided polygon is 140 ° .

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

32% are dimes

32% of 50

32/100 x 50=(32x50)/100=1600/100=16

Dimes = 16

5 more nickels than pennies

Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

13 quarters

pennies = 8, dimes = 16, nickels = 13, quarters = 13

Answer: y=-1/3x+4

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:

y=mx+b

y=3x-4

m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:

Therefore, y=-1/3x+4 is the correct answer.

Answer:

y=-4x+16

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17

Transformation involves changing the position of a shape

(a) The sequence that maps both triangles

From the figure the coordinates of both triangles are:

[tex]A = (-5,0)[/tex]

[tex]B = (-2,1)[/tex]

[tex]C = (-4,2)[/tex]

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Start by reflecting triangle ABC across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A = (5,0)[/tex]

[tex]B = (2,1)[/tex]

[tex]C = (4,2)[/tex]

Next, translate the triangle 1 unit left and 2 units down

The rule of this transformation is:

[tex](x,y) \to (x,-1,y-2)[/tex]

So, we have:

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units

(b) The ordered pair rule

In (a), we have:

[tex](x,y) \to (-x,y)[/tex] ---- reflection

[tex](x,y) \to (x,-1,y-2)[/tex] --- translation

Combine both transformations, so we have the following ordered pair:

[tex](x,y) \to (-x,-1,y-2)[/tex]

Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

Read more about transformation at:

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If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

Learn more about central angles on:

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Answer:$44.69

Step-by-step explanation:

Original cost = $45.87

Cost with sales = 45.87 x 0.10 since 10% is 0.10 as a decimal

New cost = (45.87) - (45.87 x 0.10)

=$41.283

Cost with tax  = 41.283 x 1.0825       <- 8.25% is 0.0825 as a decimal

= $44.69

Answer:

$44.69

Explanation

10 Percent of $45.87 is 4.587 rounded to the nearest hundredth is $4.59.

$45.87 - $4.59 is $41.28

8.25% of $41.28 is 3.4056 rounded to the nearest hundredth is $3.41.

$41.28 + $3.41 is $44.69

Answer:

Try sketching an image of the rectangle. Area = length x width. To find the perimeter you would add up the length of all four sides.

Step-by-step explanation:

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25

Answer: 0=75degrees

Have a Great Day/Night

Answer:

1/3 +1/5 per hour

Step-by-step explanation:

hope i helped sorry if i didn't

Answer:

pa answer din po please!!

The approximate percentage error on the weight of the beaker is 5%

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Error = Actual value - estimated value =

Actual value = 82g, Estimated value = 78g

Error = 82 - 78 which is 4

percent error = error/estimated x 100%

percent error = 4/78 x 100 which is 5%

In conclusion the percent error is 5%

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There are no real square roots does -1 have.

-1 is negative, it does not have a real square root.

Here, we have,

we know that,

The number -1 does not have any real square roots.

In the real number system, a square root of a number is a value that, when squared, gives the original number.

However, when we square any real number, the result is always non-negative.

Since -1 is negative, it does not have a real square root.

It is 0 because there are no square roots for negative numbers.

Hence, There are no real square roots does -1 have.

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Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

For a student who got 65 in math, x = 65, and hence:

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

For more on linear functions, you can check https://brainly.com/question/16302622

Answer:

c

Step-by-step explanation: