5 Make a Plan How will you solve? Explain.
3. An athlete ran a total of 1,500 kilometers in races before retiring. The athlete finished thirty-two 15-kilometer races. The rest were 10-kilometer races. How many of the races were 10-kilometer races?

Answer:

whats the question

Answer:

x = -2, y = -3

x = -1, y = -1

x = 0, y = 1

x = 1, y = 3

x = 2, y = 5

Step-by-step explanation:

Locate each value of x on the x-axis.

Then go up or down until you reach the red line.

Then read the y-value off the y-axis.

x = -2, y = -3

x = -1, y = -1

x = 0, y = 1

x = 1, y = 3

x = 2, y = 5

Answer:

149.7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

As you saw in my comments, I explained it.

Thank you for letting me help!

Cheers!

- Kay :)

On the range (21, 26), d(t) changes at an average rate of 1.05. On the range (25, 26), the average rate of change of d(t) is 0.98. On the range (25.9, 26), the average rate of change of d(t) is 5.5.

It displays the typical rate of change of the function for each unit during that time. In the function graph, it is calculated using the slope of the line connecting the interval's ends.

The formula average rate of change = (f(b) - f(a)) / 2 can be used to get the average rate of change of a function on an interval (b - a)

This formula allows us to determine:

The average d(t) change for the range (21, 26) is as follows:

f(a) = d(21) = 2100/51 ≈ 41.18

f(b) = d(26) = 2600/56 ≈ 46.43

average rate of change = (f(b) - f(a)) / (b - a) = (46.43 - 41.18) / (26 - 21) = 1.05

The average change in d(t) for the range (25, 26) is as follows:

f(a) = d(25) = 2500/55 ≈ 45.45

f(b) = d(26) = 2600/56 ≈ 46.43

average rate of change = (f(b) - f(a)) / (b - a) = (46.43 - 45.45) / (26 - 25) = 0.98

The average d(t) change for the range (25.9, 26) was as follows:

f(a) = d(25.9) ≈ 46.18

f(b) = d(26) = 2600/56 ≈ 46.43

average rate of change = (f(b) - f(a)) / (b - a) = (46.43 - 46.18) / (26 - 25.9) ≈ 5.5

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Answer:

no your answer is correct :)

Answer:

a. \(3^{7}\)

b. \(2^{-8}\)

c. \(3^{-8}\)

Step-by-step explanation:

It's pretty simple. Just keep dividing till you get your answer (which is above)

Answer:

2(x−4)(x^2+4x+16)

Step-by-step explanation:

2(x^3-4^3)

b=4

2(x-4) (x^2+x*4+4^2)

= 2(x-4) (x^2 +4x+ 16

Hope this helps :)

Answer:

33

Step-by-step explanation:

Pls vote my answer as brainliest

Answer:

33

Step-by-step explanation:

Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

The vertex is given by:

\((x_v, y_v)\)

In which:

\(x_v = -\frac{b}{2a}\)

\(y_v = -\frac{b^2 - 4ac}{4a}\)

Considering the coefficient a, we have that:

In this problem, the precipitation each month x in Phoenix is given by:

\(y = -0.04088x^2 + 0.4485x + 1.862\)

Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:

\(x_v = -\frac{0.4485}{2(-0.04088)} = 5.48\)

Hence during the month of May.

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Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

-2-5= 3

The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

We have,

The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.

Therefore, we can say that:

f(x) < 0 for x < -3 and -1.1 < x < 0.9

And,

The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).

This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:

f(x) > 0 for x > -2.4

Now,

Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).

So,

The interval where f(x) is negative and greater than 0 is:

(-∞, -3) U (-1.1, 0)

Thus,

The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

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Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

Remember that the average or mean is the ratio between the sum of all numbers involve and the total number of items there.

In this case, the total is 28 degrees, and the total number of days is 7, we just have to divide.

Answer:

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

Perimeter P = 2(Length + Breadth)

A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

-1024y⁻² = -2

512y⁻² = 1

y⁻² = 1/512

1/y² = 1/512

y²  = 512

y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

x = 512/√512

On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m  by √512 m

Answer:

A. 10

Step-by-step explanation:

I found a website that explains that you need 8.3 grams of coffee to make one 5-fl oz cup of coffee.

To make 600 cups, you need 600 * 8.3 g = 4980 g

Now we convert 4980 g to lb.

1 lb = 454 g

4980 g * (1 lb)/(454 g) = 11 lb

The closest answer is A. 10

Answer: A. 10

8x + 1 = 7

y - x = 1

y = 1 + x

sub 1 + x in eqtn i

8x + 1 = 7 { 1 + x }

8x + 1 = 7 + 7x

8x - 7 = 7 - 1

x = 6

y - 6 = 1

y = 1 + 6

y = 7

So,

8x = 8 x 6 = 48

7y = 7 x 7 = 49

My present years is 48

Next year i will be 49

Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24

Therefore my present age is 48 and next year will be 49

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Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

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His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

A graph of f(x) is shown in the image below.

A graph of f(x) is shown in the image below.

The vertex form equation for g(x) is g(x) = -x²

In Mathematics and Geometry, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x)= (x + 3)² - 2, g(x) would be created by translating f(x) three units to the right, two units up, and reflected vertically over the x-axis as follows;

f(x) = (x + 3)² - 2

g(x) = -[(x + 3 - 3)² - 2 + 2]

g(x) = -x²

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Answer:

x1=2. y1=0. x2=2. y2=6. please mark brainliest!

Answer:

So the question is

(2,0) (2,6)

Generallyit is (x1,y1) (x2,y2)

Hence

x1 = 2

x2 = 2

y1=0

y2=6

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

A,B,C,D,E

Step-by-step explanation:

Answer:

a b c d e

Step-by-step explanation:

edge 2023

Answer: Slope: 4 Y-intercept: 0

Step-by-step explanation: