Question and choices are in the photo please explain the answer

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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:

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:

There are 24 outcomes in the sample space.

Step-by-step explanation:

Suppose that we have some events, such that each one of these events has a given number of outcomes.

If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.

Let's apply this to our case.

Here we have two events:

Rolling a standard number cube: 6 outcomes

Spinning a spinner with 4 equal sections: there are 4 outcomes.

Then the total number of outcomes in the sample space is the product:

C = 6*4 = 24 outcomes.

There are 24 outcomes in the sample space.

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

Answer:

[tex]9.38 \times 10^{2}[/tex]

Step-by-step explanation:

All numbers in scientific notation or standard form are written

                                                                                       [tex]m \times 10^n[/tex],

where m is a number between 1 and 10.

Answer:

[tex]9.38 \times {10}^{2} [/tex]

Step-by-step explanation:

All numbers in standard form are written

[tex]m \times {10}^{n} [/tex]

Answer:

no  its not equal

Answer:

The slop is - 1/2

Step-by-step explanation:

The slop is what x is multiplied by,

Bonus: What you add is the y interspet , in this case 1/4

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

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:

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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Step-by-step explanation:

Let's first rearrange so it's easier to look at: y = 2x +6

To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:

m= -1/2

Next plug in the point (0, -2) into the point-slope equation of a line:

[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]

y-(-2) = -1/2 (x-0)

y + 2 = -1/2x

y = -1/2x - 2

Therefore the equation is y = -1/2x - 2

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:

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:

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:

x = √30

Step-by-step explanation:

We are given an equilateral triangle, so the angles will all be (180/3). = 60

Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x

Tan θ = opposite / Adjacent

Tan 60 = x / √10

Tan 60 = √3

Hence,

√3 = x / √10

x = √3 * √10

x = √30

Answer:

208 oz

Step-by-step explanation:

So do 16x13=208

13 lbs=208 oz

brainliest pls?

Answer:

its 208 ounces

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:

The ratio of AC : CB is 2 : 3

Step-by-step explanation:

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

Using distance formula, it is found that the ratio of AC : CB is 2 : 3

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   units.

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

AC = √[(2.6 -1)² + (1.8 - 1)²]

AC = √[(1.6 )² + (0.8)²]

AC =  2√(0.8)

Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]

CB = 3√(0.8)

Therefore, the ratio of AC : CB is 2 : 3

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

Step-by-step explanation:

a

a

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:

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

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:

20

Step-by-step explanation:

if m<ABC is = 40 and BD is besector then m<ABD = 20

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:

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:

18

Step-by-step explanation:

Add 4

Answer: 18;22

Step-by-step explanation:

Let's start by finding the common difference.

10-6=4

14-10=4

The common difference is 4 meaning to get to the next numbers we must add 4.

6+4=10

10+4=14

14+4=18

18+4=22

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