An eagle is flying from point A to point B in order to catch a sparrow. Its flying trajectory is a parabola shape

that has the equation y = -5(x+6) +10, where x and y are measured in meters. If the eagle is at a height of

20 meters, how far away are the two points from one another?

Answer:

B) {-8,-2,3,4,7,11}

Step-by-step explanation:

range is y

Final answer:

The range of the set of points {(3, 4), (7, -2), (11, – 8)} is the set of their y-values, which are -8, -2, and 4. So the range is {-8, -2, 4}.

Explanation:

The range of a set of points in mathematics refers to the difference between the highest and lowest y-values (also known as the vertical coordinate) in the set. Looking at the provided set of points {(3, 4), (7, -2), (11, – 8)}, we identify the y-values as 4, -2, and -8. To find the range, we look for the highest and lowest y-values. The highest y-value among these points is 4, and the lowest is -8.

The range consists of all the y-values which the function or set of points may take. Consequently, within this set of points, the range encompasses all values from -8 up to 4. Therefore, the correct answer listing those y-values is Option C: {-8, -2, 4}

Answer: (3x-2)(x+5)

Hope this helps.

The correct answer for the factorization of   [tex]3x^{2} +13x -10[/tex]   is  [tex](3x-2)(x+5)[/tex].

Given expression:

[tex]3x^{2} +13x -10[/tex]

a: The coefficient  of [tex]x^{2}[/tex]

b: The coefficient of linear term variable.

c: The constant term.

In given question:

a= [tex]3x^{2}[/tex]  ,   b =[tex]13x[/tex]  ,   c = [tex]-10[/tex]

To factorize,
Split the middle term:

Find two numbers that multiply to ac (product of the coefficients of [tex]x^{2}[/tex] and the constant term) and add up to b (coefficient of [tex]x[/tex]).

ac = [tex]3*-10 = -30[/tex]

b = [tex]13[/tex]

The two numbers are:

[tex]15[/tex] and [tex]-2[/tex] because [tex]15 * -2[/tex] = [tex]-30[/tex] and [tex]15+(-2) = 13[/tex].

Rewrite the middle term using the two numbers found:

[tex]3x^{2} +15x-2x -10[/tex]

Simplify:

[tex]3x(x^{} + 5x)-2(x+5)[/tex]

[tex](x+5)(3x-2)[/tex]

The factored term of equation [tex]3x^{2} +13x -10[/tex]  is  [tex](3x-2)(x+5)[/tex].

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Answer: 722

Step-by-step explanation:

Add 700, 10, and 12. Your answer added altogether is 722.

Answer:

-8

Step-by-step explanation:

if its 2 more then [tex]-6-2=-8[/tex]

so if you think the opposite negative 8 plus 2 is -6

Answer:

A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:

((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.  

Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.  

And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.

This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.

The sum of the exterior angles of any polygon, including an octagon, is always 360 degrees. This is true regardless of the polygon's number of sides, because when one traces around the polygon, the point will have made one full revolution, or 360 degrees.

In mathematics, the sum of the exterior angles of any polygon, not just an octagon, is always 360 degrees. This applies regardless of the number of sides the polygon has. The concept comes from observing how a point moves as one traces around the polygon: during the complete circuit, it will have made exactly one full revolution, which is 360 degrees in total. Just as a circle consists of 360 degrees, this concept applies to polygons and their exterior angles as well.

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Answer:

0.20

Step-by-step explanation:

0.20

AnsWER:  22

Step-by-step explanation: (5+4)X 2+4

9X2+4

18+4

22

Step-by-step explanation:

The numbers which are multipe of 3:

3, 6, 9, 12, 15, 18, 21, 24, ......

The numbers which are multipe of 12:

12, 24, 36, 48, ......

The number is multiple of 12 is also multiple of 3 but the number is multiple of 3 the number may be multiple of 12 or may not be multople of 12.

Thus, If a number is a multiple of 3, it is not necessary to a multiple of 12.

The estimation of the total number of soccer matches in Greenville's annual tournament, with 8 matches each day for around 20 days, is approximately 160 matches.

The student is asking for an estimation of the total number of soccer matches in Greenville's annual tournament. There are 8 matches each day, and the tournament runs for 17 days. The part of the question that asks you to round to the nearest ten refers to the 17 days, as this is the larger number. Rounding 17 days to the nearest ten would give us 20 days. Therefore, to estimate:multiply the rounded number of days (20) by the number of matches per day (8), yielding an estimate of 160 soccer matches during the tournament.

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Final answer:

The estimated number of soccer matches during Greenville's annual soccer tournament is 160 matches, calculated by rounding 17 days to 20 and multiplying by 8 matches per day.

Explanation:

To estimate the number of soccer matches during Greenville's annual soccer tournament, we round the larger number (17 days) to the nearest ten. Since 17 is closer to 20 than it is to 10, we round up to 20 days for our estimation. With 8 soccer matches per day, we then calculate the estimated number of matches as 8 matches/day × 20 days.

8 matches/day × 20 days = 160 matches

Therefore, an estimated 160 soccer matches will be played during the tournament.

Answer:

C.

Step-by-step explanation:

recall that the point-slope form of a linear equation is given by

y = mx + c

Rearranging so that it is in the same form as the answer choices, we get

y = c + mx

where m is the slope and c is the y-intercept

we note the following observations

1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)

2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.

If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)

Answer:

B)

Step-by-step explanation:

Answer:

look at the picture shown

Answer:

10

Step-by-step explanation:

1*4 -(3*(-2))=4-(-6)=4+6=10

Answer:

11x+50

Step-by-step explanation:

Answer:

15x - 24

Step-by-step explanation:

Answer:

Period =½

Equation of midline, y=0

Maximum =2

Minimum=-2

Step-by-step explanation:

The given function is

[tex]f(x) = - 2 \cos(4 \pi \: x) [/tex]

The period is given by:

[tex] \frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]

The equation of the midline is y=0 since there is no vertical shift

The amplitude of this function is 2 so the range is -2≤y≤2.

Hence the maximum value is 2 and minimum value is -2

Answer:

x=120°

Step-by-step explanation:

Let us draw a third horizontal line through x, parallel to the two parallel lines.

This line divides angle X into A and B as shown.

By alternate interior angle theorem, angle B=50°

and

angle A=70°

We know that: A+B=x

Therefore x=70°+50°=120°

Answer:

x=120 degrees

Step-by-step explanation:

1. 70+50=120

I get it its simple but its correct i do RSM

Answer:

x < 21

Step-by-step explanation:

Given

12x < 252 ( divide both sides by 12 )

x < 21

Answer:

$50

Step-by-step explanation:

Simple math

Extended warranty don’t count so gotta take that out that’s be 20x18=360 1260-360=900 now divide 18 tvs from that and u get 900/18=50

To determine the fixed amount Gi earns for each television, a simple algebraic equation is set up and solved to find that he earns $ 50 per television without the extended warranty.

To solve for the fixed amount Gi earns for each television without the extended warranty, we can set up an equation.

Let's call the fixed amount $F. Each television with an extended warranty earns Gi an additional $ 20, so for each of those televisions, he earns $F + $20. If he sells 18 televisions with extended warranties,

the total amount he earns can be represented by 18($F + $ 20), which equals $ 1,260 according to the question.

We can create the following equation to find the fixed amount $F:

18($F + $ 20) = $ 1,260

To solve for $F, divide both sides of the equation by 18:

$F + $ 20 = $ 70

Then, subtract $ 20 from both sides to isolate $F:

$F = $ 50

So, the fixed amount Gi earns for each television is $ 50.

Answer:

15-(6-3) = 12

Step-by-step explanation:

15 - (6-3) =

Solve inside the parenthesis

15-3=12

Answer:

The percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%

Step-by-step explanation:

i.) the apartment complex has a total of 175 units.

ii.) 154 units are occupied.

iii.) therefore the number of unoccupied units is = 175 - 154 = 21 units.

iv.) the percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%

Answer:

-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1 - 4)/(2 + 3) = -5/5 = -1

answer is -1

The right answer is Option 4.

Step-by-step explanation:

Given expression is;

-1.5w+7.5

To factorize this expression, we will first take -1.5 common to make w positive.

[tex]-1.5(w-5)[/tex]

Because 5 multiplied by 7.5 divided by -1.5 is -5.

Therefore;

The expression is factored form is -1.5(w-5).

The right answer is Option 4.

Keywords: subtraction, addition

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The factored form of the expression −1.5w+7.5 is −1.5(w-5), since −1.5 is the common factor for both terms in the expression.

The factored form of the expression −1.5w+7.5 can be found by factoring out a common factor. The common factor in this expression is −1.5, as both terms in the expression can be divided by −1.5.

Factoring out −1.5, we get:

−1.5w + 7.5
= −1.5 (w) + −1.5 (-5)
= −1.5 (w - 5)

Therefore, the factored form of −1.5w+7.5 is −1.5(w−5).

Stephanie worked for 33 hours 20 minutes.

Explanation:

Step 1; Stephanie works and earns $4.50 an hour. Her last paycheck was for $150. So to find the number of hours she has worked we divide the total money earned by the money she earns every hour.

Total hours worked = Total money earned / Money earned for an hour

                                  = $150 / $4.50 = 33.33 hours.

Step 2; We need to convert the 33.33 hours into hours and minutes.

We multiply the 0.33 hours with 60 to convert it into minutes. 0.33 × 60 = 20 minutes. So Stephanie worked for 33 hours and 20 minutes to get her last paycheck.

Answer:

20 hours

Step-by-step explanation:

She receives $60 regardless of the number of hours she works for. Per hour, she earns $4.50. In t hours, she earns:

60 + 4.50t

For some t, the total is $150

150 = 60 + 4.50t

90 = 4.50t

t = 20

Answer:

B. -3.

Step-by-step explanation:

If we take a look at the point (0, 1) in f(x), and compare it to the point (5, -2) in g(x), we can see that the point is simply moved to the right (translated horizontally) and moved down (translated vertically). Since k represents the vertical translation, the value must be -3.

1 -> -2

k = -3.

Answer:

B. -3

Step-by-step explanation:

Because I did the unit test

Answer:

1. a. 72/100 = 324/x

72x = 32,400

b. 450 students are in Math 6

2. a. o = 3b

b. o = 3 pounds

3. a. Most popular animals:

A. Dogs - 67%

B. Cats - 20%

C. Other - 8%

D. None - 4%

E. Horses - 1%

b.  20 students

c. If 75 students have cats, the estimate of 250 students isn't correct.

The actual number of students interviewed is 375.

Step-by-step explanation:

1. a. Let's use the following equation to solve the question:

x = Students that are in Math 6

72/100 = 324/x

72 * x = 324 * 100

72x = 32,400

b. Let's solve the equation, as follows:

x = 32,400/72

x = 450

450 students are in Math 6

2. a. The equation is:

o = 0.15 *20b

o = 3b

where, o = weight of oats in pounds and b = number of dog food bags

b. Let's find out the weight of the oats in one dog food bag, using our equation:

o = 0.15 *20b

o = 0.15 *20 * 1

o = 3 pounds

3. a. Most popular animals:

A. Dogs - 67%

B. Cats - 20%

C. Other - 8%

D. None - 4%

E. Horses - 1%

b. If 250 students were interviewed, the 8% who answered "other" are:

8% of 250 = 0.08 * 250 = 20 students

c. If 75 students have cats, the estimate of 250 students isn't correct.

The 20% of 250 is 50, not 75.

0.2 * 250 = 50

The actual number of students interviewed is:

x = Actual number of students interviewed

75/x = 20/100

20x = 7,500

x = 7,500/20

x = 375

The actual number of students interviewed is 375.

Answer:

answer is attached in the image below

Final answer:

Explaining how to create an equation for a specific scenario where 12 is subtracted from a certain number to equal 19.

Explanation:

An equation for 12 less than a number x is 19:

Define the variable: Let x be the number.

Set up the equation: x - 12 = 19.

Solve for x: x = 19 + 12 = 31.

Answer:

Step-by-step explanation:

i honestly dont even knw but i hope u get it right

Answer:

C. a 90° counterclockwise rotation about the origin and then a translation 10 units left.

Step-by-step explanation:

See the diagram attached to the question.

We have to select the sequence of transformations confirms congruence by mapping the shape I onto shape II.

The correct option is Option C.

C. a 90° counterclockwise rotation about the origin and then a translation 10 units left. (Answer)

Answer:

(x - 8)^2

Step-by-step explanation:

Factor the following:

x^2 - 16 x + 64

The factors of 64 that sum to -16 are -8 and -8. So, x^2 - 16 x + 64 = (x - 8) (x - 8):

(x - 8) (x - 8)

(x - 8) (x - 8) = (x - 8)^2:

Answer: (x - 8)^2