Please help me, the answer is v=24, but I need working out

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Explanation:

Plug in x = 1

f(x) = 17-x^2

f(1) = 17-1^2

f(1) = 17-1

f(1) = 16

Repeat for x = 5 to find that f(5) = -8

Now we'll use the formula below to find the average rate of change from x = a to x = b.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]

The average rate of change is -6

The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.

The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)

Answer:

area = 15 units ^2

Step-by-step explanation:

you look at width times height (just count the blocks vertical and horizontal)

width = 3 units

height = 5 units

area = 15 units ^2

Answer:

13cm

Step-by-step explanation:

if the area is 117 then to find out the missing length, you divide 117 by 9 which gets you 13.

to check its correct, 13 x 9 = 117cm^2

Answer:

84

Step-by-step explanation:

Score = 90

Standard deviation = 3

Score = mean + 2(standard deviation)

90 = mean + 2(3)

90 = mean + 6

Mean = 90 - 6

Mean = 84

Answer:

198 mg

Step-by-step explanation:

A child weighs 44 lbs.

Step 1

We convert the child's weight to kg

1 Ibs = 0.45kg

44 Ibs = x

Cross Multiply

1 Ibs × x = 44 Ibs × 0.45 kg

x = 44 Ibs × 0.45 kg/1 Ibs

x = 19.8 kg

Step 2

The physician orders a medication for 10 mg/Kg/day.

From the above statement, we know that:

10mg = 1 kg

Hence, what you give per day is calculated as:

1 kg = 10 mg

19.8kg = x

Cross Multiply

1 kg × x = 19.8kg × 10mg

x = 19.8kg × 10mg/1kg

x = 198mg

Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day

Answer:

a) The equation for the situation = 14.50 = 4.5 + 1.25n

b) The number of oranges she bought = 8 oranges

Step-by-step explanation:

Where n represents the number of oranges.

The equation is written as

Total charge = $0.75 × 6 + $1.25 × n

$14.50 = $0.75 × 6 + $1.25 × n

14.50 = 4.5 + 1.25n

1.25n = 14.5 - 4.5

1.25n = 10

n = 10 / 1.25

n = 8 oranges

Answer:

paint a is cheaper

Step-by-step explanation:

cost price of 1 liter of paint A = 109,95 / 5L

=21.99

cost price of 1 liter of paint B = 599 / 20L

= 29.95

paint A < paint B

Answer:

zero of a polynomial can be defined as the points where the polynomial become 0 as a whole.

An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.

I hope this will help you

Step-by-step explanation:

A circle equation is represented by

[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]

A circle have both terms to the 2nd. degree

The 1st equation, 2nd equation, 4th equation are circles.

A quadratic is represented by

[tex] {x}^{2} + bx + c[/tex]

A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.

The 3rd equation is a quadratic.

The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)

This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

From the given table we can get the dy/dx which is the slope (m) ,

Therefore,

dy/dx = (7 - 10 ) / ( 4 - 3 )

dy/dx = -3

Now,

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

Putting the value from the table,

( y - 10 )  = -3 ( x -5 )

=> y - 10 = -3x + 15

=> 3x + y = 25

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Answer:

There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.

Step-by-step explanation:

Aileen: x

Zulie: 3x

Melody: 4 + x

Zoe: x - 3

Abigail: x - 3

82 = (x) + (3x) + (4+x) + (x-3) + (x-3)

Combine Like Terms

x + 3x + x + x + x = 7x

4 - 3 - 3 = -2

7x - 2 = 82

7x = 80

x results in a decimal answer, which is not possible for number of hoops.

Answer:

5/8

Step-by-step explanation:

SUM OF RATIOS = 5 + 3 = 8

fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8

Answer:

x = -3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5-4*x-(17)=0

1.1     Pull out like factors :

  -12 - 4x  =   -4 • (x + 3)

2.1      Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero. 2.2      Solve  :    x+3 = 0

Subtract  3  from both sides of the equation :

                     x = -3

Answer:

The answer would be the first one.

m = -3n

Step-by-step explanation:

Answer:

m = -3n

Step-by-step explanation:

-6 = (-3)2  True

-12 = (-3)4  True

-18 = (-3)6  True

Answer:

4 and 3/4

Step-by-step explanation:

Multiplying 3/4 times 5 days will give you 3.75 hours (or 3 and 3/4ths)

1/2 times 2 days will give you one hour

adding these together will give you 4.75 or 4 and 3/4ths

Answer:

C

Step-by-step explanation:

3/4 * 5 + 1/2 * 2 = 15/4 + 1 = (15+4)/4 = 19/4 = 4.75 = 4 3/4

Answer:

no  its not equal

Answer:

Domain { 4,8,12,16,20}

Range { 1,2,3,4}

This is not a function because two of the inputs have more than one output

Step-by-step explanation:

The domain is the x values ( input)

Domain { 4,8,12,16,20}

The range is the y values (output)

Range { 1,2,3,4}

This is not a function because two of the inputs have more than one output

The right answer is a i think i don't known step by step

Step-by-step explanation:

a

a

Answer:

C and D

Step-by-step explanation:

Mathematically, a unit circle is one in which the value of the radius is 1 unit

Generally, for a unit circle we have it that;

r^2 = x^2 + y^2

where (x,y) represents the coordinates of a point on the unit circle

But from above, r = 1

Thus:

x^2 + y^2 = 1

Looking at option C, by squaring each coordinate, we have

(6/7)^2 = 36/49 and the second as 13/49

by adding both, we have

36/49 + 13/49 = 49/49 = 1

Thus, we have this as a coordinate on the unit circle

For the last option;

(5/13)^2 = 25/169 and (12/13)^2 = 144/169

Adding both, we have;

25/169 + 144/169 = 169/169 = 1

So this is also a point on the unit circle

Answer:

Total number of wreaths = 3.5 wreaths

Step-by-step explanation:

Given:

Number of medium wreaths = x

Number of larger wreaths = 2[Number of medium wreaths]

Number of small wreaths = [1/2][Number of medium wreaths]

Find:

Total number of wreaths

Computation:

Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths

Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]

Total number of wreaths = x + 2x + 0.5x

Total number of wreaths = 3.5 wreaths

Answer:

962.5 yd²

Step-by-step explanation:

The formula for a trapezoid is:

(a + b) ÷ 2 x h

Where a & b are the two side lengths and h is height.

Use the formula with the given measurements:

(39.2 + 10.8) ÷ 2 x 38.5 = 962.5

Area is measured in square yards, in this case.

FINAL ANSWER:

The area of the trapezoid is 962.5 yd²

Hope this helps!

-SpaceMarsh

Answer:

55° because 2and 6 are corresponding angles (they are equal)

6 and 8 are vertically opposite angles (they are equal)

Step-by-step explanation:

hope this is helpful

Answer:

It will take 48 hours for the entire icicle to melt.

Step-by-step explanation:

12 divided by 1/4 = 48

The linear equation to model the situation is f(x) = -1/4x + 12

Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.

The given parameters are:

The above means that:

A linear equation is represented as:

f(x) = mx + c

Where f(x) represents the function and x represents the number of hours.

So, we have:

f(x) = -1/4x + 12

Hence, the linear equation to model the scenario is f(x) = -1/4x + 12

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Answer:

Your answer will be B

Step-by-step explanation:

Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8

You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...

I hope this helped if not tell me please....❤

Answer: Option B (y=8x+14)

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14

y=8(0)+14

y=14

y=8x+14

y=8(1)+14

y=8+14

y=22

y=8x+14

y=8(2)+14

y=16+14

y=30

and so on. Now your answer would be Option B.

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9514 1404 393

Answer:

  y = 3x -29

Step-by-step explanation:

The parallel line will have the same slope: 3. The y-intercept can be found from ...

  b = y -mx

  b = 1 -(3)(10) = 1 -30 = -29

Then the slope-intercept equation is ...

  y = 3x -29

Answer:

c=9.75cm^2

Step-by-step explanation:

156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156