can you help meeeeeeeeeeeeeeeeeeee pleaseeeeeeee!!!

For given function f(x-3) = x^2- 2x+ 7, the value of f(-1) is 10

For given function f(x-3) = x^2- 2x+ 7 we need to find the value of f(-1)

i.e., we get an equation,

x - 3 = -1

x = -1 + 3

x = 2

Substitute x = 2 in given function,

f(-1) =  (-1)^2- 2(-1) + 7

f(-1) = 1 - (-2) + 7

f(-1) = 1 + 2 + 7

f(-1) = 10

Therefore, for given function f(x-3) = x^2- 2x+ 7, the value of f(-1) is 10

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Answer:

symbol

greater

Step-by-step explanation:

An inequality symbol always opens to the larger,greater,bigger number.

Examples:

5 > 1

2 > -1

-4 < 0

2 < 3

Answer:  An inequality Sign always opens to the  smaller number.

Step-by-step explanation:

Answer: m<BCA = 57°

Step-by-step explanation:

180-(10x-37)°

180-(10x(16)-37)°

180-123

57°

The graph of the inequality, y ≤ -2/5x - 4, is shown below

From the question, we are to graph the given linear inequalities.

The given linear inequalities is y ≤ -2/5x - 4.

To graph the linear inequality,

First, we will draw the line of the equation y = -2/5x - 4

To draw the line, we will use the x-intercept and y-intercept.

y-intercept

When x = 0

y = -2/5x - 4

y = -2/5(0) - 4

y = 0 - 4

y = -4

Thus, the coordinate of the y-intercept is (0, -4)

x-intercept

When y = 0

y = -2/5x - 4

0 = -2/5x - 4

4 = -2/5x

4 × 5 = -2x

20 = -2x

x = 20/-2

x = -10

Thus, the coordinate of the x-intercept is (-10, 0)

Now, using the coordinates of the x and y-intercepts, the line of the graph is shown.

Since the sign of the inequality is less than or equal to (≤), the line is a solid line and the solution is below the line.

The graph of the inequality is shown below.

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Answer:

Willis paid 1.774 dollars a pound

Step-by-step explanation:

Assuming there was no tax in the purchase, you can divide 8.87/5 to get your price per pound.

Answer:

yesss

Step-by-step explanation:

The median race time for this event is 38 minutes.

Given:

Race times for a recent 5k run are normally distributed with a mean time of 38 minutes and standard deviation of 3.5 minutes.

a.

X is normally distributed in (38,3.5).

so here the mean and the median are equal to each other.

Mean = 38

Median = mean

Median = 38 minutes.

Therefore the median race time for this event is 38 minutes.

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The angle with cosine value of 1/7​ is 81.79°

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Given that: the cosine value of the angle is 1/7​

Let the angle be θ. Then we can write that:

cos θ = 1/7

θ = cos⁻¹ (1/7)           (Take the inverse of cosine on both sides)

θ = 81.79°

Note: To get cos⁻¹ on your calculator, press the shift button followed by the cos button

Therefore, the angle is 81.79°

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Answer:

[tex]134^{\circ}[/tex]

Step-by-step explanation:

Using the exterior angle theorem,

[tex]m\angle z=m\angle A+m\angle B=134^{\circ}[/tex]

Using the exterior angle theorem, angle z is measured as 134°.which is the correct answer that would be an option (D).

The exterior angle theorem is a triangle theorem that asserts that the measure of the external angle created by an extended side of a triangle is equal to the sum of the measures of the triangle's remote interior angles.

The given data will be the following as:

Exterior angle to angle C of triangle ABC = z

The remote interior angle of triangle ABC are angled A = 58° and angle B = 44°.

Therefore:

The measure of angle z = measure of angle A + measure of angle B [according to the exterior angle theorem]

Substitute the values and we get

Measure of ∠z = 77 + 57

Measure of ∠z = 134°

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Answer:

153.86

Step-by-step explanation:

to get the area of the circle you take the radius to the power of 2 and then multiply with π
when the radius of circle S is half the radius of circle L and circle L has radius 14 inch, then the radius of S is 7.
area = radius² * π = 7² * π = 49 * π
π is approximately 3.14
so 49*3.14 = 153.86

Answer:

8 hours

3 hours

Step-by-step explanation:

24/3=8

24/8=3

Using the scale size, the actual length of the paramecium is 0.253.

In the given question we have to find the actual length of the paramecium.

Under a 750:1 magnification microscope, a paramecium has a length of

19 mm.

Using the microscope length of paramecium = 19 mm

Magnification microscope = 750:1

So the actual length of paramecium = microscope length of paramecium× scale size

The actual length of paramecium = 19× 1/750

The actual length of paramecium = 19/750

The actual length of paramecium = 0.253

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Answer:

T

Step-by-step explanation:

Answer:

T

Step-by-step explanation:

T because it is the same position and Q therefore being congruent to each other, a way visualize it is to flip it and aline the lines together and see which one is the same angle as Q.

Answer:

solve    9 = -6/-7(14) + b this is not the answer but when you solve it that will be your answer

Step-by-step explanation:

m = y2 - y1                    y = mx + b

      x2 - x1                     9 = -6/-7(14) + b

m = 3 - 9

      7 - 14

3 - 9 = -6

7 - 14 = -7

m = -6/-7

If they have $284.25 to spend on parking and admission. Parking is $9.25, and tickets cost $27.50 per person, including tax. The number of people that can go to the amusement park is: 10 people.

Let a represent  the number of people who can go to the amusement park

Formula an equation

9.25 + 27.50a = 284.25

Combine like terms

27.50a = 284.25  - 9.25

27.50a =  275

Divide both side by 27.50a

a= 275/ 27.50

a = 10 people

Therefore 10 people can go to the amusement park.

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We need to determine the length per year, so take the ratio of 450/9 and simplify it.

r = 450cm/9yr
r = 50cm/1yr
r = 50cm

50cm/100cm = 1/2

So, the coastline recedes 1/2 meters every year.

Answer:0.50 meters

Step-by-step explanation:

The value of the underlined digit is 600.

What is the place value strategy?

The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.

We must determine the values of each integer in order to calculate the value of the underlined digit (6) in the equation.

In 5,678.321, the first digit, 5, is 1,000 in the thousands of places.

The second digit, 6, is in the hundreds (100) place.

So the value is 600.

Hence the answer is, the value of the underlined digit is 600.

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The general rule for the dimensions will be 4d and (d + 2) after taking d = 1, the dimensions are 4 and 3 feet

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that:

A park is planning a rectangle-shaped koi pond with an area given by the expression 4d² + 8d square feet.

= 4d(d + 2)

The dimensions could be 4d and (d + 2)

Let d = 1

The dimensions are 4 and 3 feet

Thus, the general rule for the dimensions will be 4d and (d + 2) after taking d = 1, the dimensions are 4 and 3 feet

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The coordinates of the point on the directed line segment from (-10, 2) to (-3,-5) that partitions the segment into a ratio of 4 to 3 is (-6,-2).

Given:

we have two points :

(-10, 2) to (-3,-5)

and the ratio which partitions the segment is:

4:3

we are asked to determine the coordinates of the point.

Let the given points (-10,2) be (x₁, y₁) and (-3,-5) be (x₂, y₂) and the ratio be m:n.

Using section formula to find the coordinates:

x = (mx₂ + nx₁)/(m+n)

= {4(-3) + 3(-10)} /(4+3)

= -12-30/7

= -42/7

= -6

y = (my₂ + ny₁)/(m+n)

= {4(-5) + 3(2)} / (4+3)

= -20+6/7

= -14/7

= -2

Therefore, the required point is (-6,-2)

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Answer:

$656.25

Step-by-step explanation:

The formula for simple interest is:

[tex]A=Prt[/tex]

Where A is the final amount, P is the principal, r is the rate, and t is the time in years.

The question does not specify whether the interest rate is annual or not, but I will assume it is! To convert 15 months to years, divide it by 12 months!

[tex]\frac{15}{12}=\frac{5}{4}=1.25[/tex]

I also need the percent to be a decimal. To convert a percent to a decimal, divide by 100.

[tex]7.5/100 = 0.075[/tex]

Now, plug the values into the formula!

[tex]A=7000*0.075*1.25\\A=656.25[/tex]

The total amount after 15 months is $656.25

The height of the goalpost is 16.45 m.

Given, Anand uses a mirror on the ground to measure the height of his school’s football goalpost.

He walks a distance of 14.75 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center.

He then steps 1.3 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X.

His partner measures the distance from his eyes to the ground to be 1.45 meters.

we are asked to determine the height of the goalpost = ?

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

AB/ED = CB/CD

1.45/ED = 1.3/14.75

ED = 14.75×1.45/1.3

ED = 16.45 m

Hence the height of the goal post is 16.45 m

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Los capitales depositados en las cuentas de 2 %, 3 % y 4 % son 630.000, 420.000 y 315.000, respectivamente.

En este problema tenemos el caso de una suma de dinero distribuida y depositada en tres cuentas con tres tasas de interes simple distintas. Existe una tasa de interés simple cuando el interés generado sobre el capital no es acumulativo en el tiempo. El modelo de interés simple es descrito por la siguiente fórmula:

C' = C · (1 + r / 100)

Donde:

A continuación, describimos la ganancia registrada en cada cuenta tal que produce la misma ganancia:

Cuenta al 2 %:

z = x · (2 / 100)

z = 0.02 · x

0.02 · x - z = 0

Cuenta al 3 %:

z = y · (3 / 100)

z = 0.03 · y

0.03 · y - z = 0

Cuenta al 4 %:

z = (1.365.000 - x - y) · (4 / 100)

z = 54600 - 0.04 · x - 0.04 · y

0.04 · x + 0.04 · y + z = 54600

La solución de este sistema de ecuaciones lineales se obtiene mediante métodos numéricos:

(x, y, z) = (630.000, 420.000, 12.600)

Finalmente, el capital depositado en la cuenta al 4 % es:

c = 1.365.000 - 630.000 - 420.000

c = 315.000

Se deposita capitales de 630.000, 420.000 y 315.000 en las cuentas de 2 %, 3 % y 4 %, respectivamente.

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Answer:

0.8

Step-by-step explanation:

[tex]\frac{16}{20} =\frac{4(4)}{4(5)}=\frac{4}{5}=0.8[/tex]

Answer: 0.8

Step-by-step explanation:

16/20=4/5, which is the equivalent to 0.8

Answer:

79.73

Step-by-step explanation:

Answer:79.73

Step-by-step explanation: because if you take 6.14 and add it to 73.59 you get 79.73

Answer:

10u^2 - 2u - 2

Step-by-step explanation:

Combine like terms:

4u^2 + 3 + 6u^2 - 2u - 5

10u^2 - 2u - 2

Answer:

Answer and explanation in image

Step-by-step explanation:

The equation for a tank that is filled with petrol at 10 liters already and filling at 35 liters per minute is  y = 35x + 10

The equation required here is a linear equation

The graph of linear equation is a straight line graph and the relationship is expressed in the form.

y = mx + c

variables are defined as below

y = total petrol in  liters

m = filling in  liters per minute = 35

x = number of liters

c = quantity before the filling began = 10

The expression is

y = 35x + 10

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As gradients multiplied we get [tex]\frac{-4}{3}[/tex] the line segments AB and BC are not perpendicular

How to find lines are perpendicular?

Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.

To find whether the line segments are perpendicular we have to first find the gradient of AB and BC

Finding the gradient of AB

A(1,3) and B(2,1)

[tex]m_{AB}[/tex]=(1-3)/(2-1)

       = [tex]\frac{-2}{1}[/tex]

       =-2

Finding the gradient of BC

B(2,1) and C(5,3)

[tex]m_{BC}[/tex]=(3-1)/(5-2)

      =[tex]\frac{2}{3}[/tex]

When we multiply the two gradients if we get -1 then the two line segments are perpendicular.

[tex]m_{AB}X m_{BC} = -2X\frac{2}{3}[/tex]

                  = [tex]\frac{-4}{3}[/tex]

As the gradient is not equal to -1 the line segments AB and BC are not perpendicular

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