Which set of steps shows how to find f(-2) when f(x) = -2x – 3?

The difference of two numbers is 15, and their product is 700. The numbers are 25 and 10.

The two numbers are 25 and 10.

The two numbers are 35 and 20, or -20 and -35.

The problem states that the difference of two numbers is 15, and their product is 700. Let's denote the two numbers as x and y.

We have the following system of equations:

From equation (1), we can express x in terms of y:

Substituting this into equation (2) gives:

To solve this quadratic equation, we use the quadratic formula: y = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = 15, and c = -700. Plugging in these values, we get:

We have two solutions:

The corresponding values for x are:

Therefore, the two pairs of numbers are (35, 20) and (-20, -35).

Answer:

The answer is 28

Step-by-step explanation:

To find the answer, take the function and input the -5 for all x's.

f(x) = x^2 - 2x - 7

f(-5) = (-5)^2 - 2(-5) - 7

f(-5) = 25 + 10 - 7

f(-5) = 28

The value of f(-5) is 28 after plugging x = -5 in the polynomial f(x) = x² - 2x - 7

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

f(x) = x² - 2x - 7

Plug x = -5

f(-5) = (-5)² - 2(-5) - 7

f(-5) = 25 + 10 - 7

f(-5) = 28

Thus, the value of f(-5) is 28 after plugging x = -5 in the polynomial f(x) = x² - 2x - 7

Learn more about Polynomial here:

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Answer:

25

Step-by-step explanation:

10*100/40

10*100= 1000

1000/40= 25

Answer:

x=25

explanation:

so we have 40% of x, x =10

40/100 x, x=10

multiplying both sides by 100 and dividing both sides by 40

x=25

calculator check~

10x100÷40 which also gives you the answer of  25

❤️ hope this helps -bangtanboys7❤️

Answer:

add up all numbers

then divide that number by the amount of numbers.

Step-by-step explanation:

mad is basically finding the average of a set of numbers.

and how do you do that?

first, add up all numbers

ex: 1, 5,3,10,6,20,15,15,14  --> this adds up to 90.

then divide that number by the amount of numbers.

count how much numbers ehere are: there are 9 numbers.

divide 90 by 9 and the mad/average is 10.

plz give brainliestttt

Answer:

Here is an example..:

Find the M.A.D of the set of data

10.2 , 9.4, 11.3, 12.9

( so, we just have to add up all numbers )

10.2 + 9.4 + 11.3 + 12.9 = 43.8

Then we divide them by 4, you might be wondering..why 4?

that's because there are about 4 numbers in the data set.

So:

43.8

____= 10.95 (we found the mean! :D)

  4

After that, we just have to subtract the mean (10.95) to the same numbers (or the so called data set)

10.95 - 10.2 = 0.75

10.95 - 9.4 = 1.55

10.95 - 11.3 = 0.35

10.95 - 12.9 = 1.95

For our final step, we just add up all the difference, then,  divide it by 4 again.

0.75 + 1.55 + 0.35 + 1.95 = 4.6

                                          --------- = 1.15

                                              4

~hope this helps, have a good day/afternoon/night~

Answer:

100

Step-by-step explanation:

Because it is an issoceles triangle, the sides are equal,making 40 on 1 side be the same on the other side, then since its not obtuse, it should add up to 180, subtract 80 from 180, and get the answer

The circumference is 6 and the arc is 1.

This means that the arc is 1/6 of the circumference.

A full circle is 360 degrees, since the arc is 1/6 of the circle, the central angle would be 1/6 of 360.

360 x 1/6 = 60

The central angle is 60 degrees.

Answer:

$350

Step-by-step explanation:

The interest earned would be $353

See the image attached

Answer:

c= (-10)

Step-by-step explanation:

Simplify both sides of the equation then isolate the variable.

Answer:

c= 15.9

Step-by-step explanation:

The correct formulas for the composite shape are A. [tex]\( A = 2bh \)[/tex] and B. [tex]\( A = 2\left(\frac{1}{2}bh\right) \)[/tex].

1. Find the area of the composite figure.

You can use the formula for the area of a parallelogram: [tex]$A = bh$[/tex]. Since there are two parallelograms, you add their areas:

[tex]\[ A = 2bh \][/tex]

2. The previous diagram represents a scale drawing of a hexagonal garden. The scale factor is 1cm=0.5m. What is the area of the garden?

If the scale factor is 1 cm = 0.5 m, the area in the drawing needs to be scaled up. The scale factor squared is used for areas. Therefore,

[tex]\[ \text{Area in meters}^2 = (\text{Area in centimeters}^2) \times (\text{Scale factor})^2 \][/tex]

3. For which shape would you use the formula [tex]\((bh) + \left(\frac{1}{2}bh\right)\)[/tex] to find the area?

This formula represents the sum of the areas of a parallelogram and a triangle. So, you would use this formula for a shape that consists of both a parallelogram and a triangle.

4. Which shapes could this hexagon be decomposed into to find its area? Choose all that apply.

Since a hexagon has six sides, it can be decomposed into various combinations of shapes. All the given options are valid:

- A. Two trapezoids

- B. Six triangles

- C. One rectangle and two triangles

- D. Two parallelograms

5. Which formulas could be used to find the area of the composite shape? Choose all that apply.

The correct formulas for finding the area of the composite shape (made up of two parallelograms) are:

- A. [tex]\(A = 2bh\)[/tex]

- B. [tex]\(A = 2\left(\frac{1}{2}bh\right)\)[/tex]

So, the correct choices are A and B.

[tex]\bf \cfrac{2}{3}\implies \cfrac{1+1}{3}\implies \cfrac{1}{3}+\stackrel{\textit{100\%}}{\cfrac{1}{3}}\impliedby \textit{change of 100\%}[/tex]

Answer:

The radius is 5.5 mm

Step-by-step explanation:

The diameter is 11 mm

The radius is 1/2 of the diameter

1/2 d =r

1/2(11) =r

5.5 =r

The radius is 5.5 mm

Answer:

  1 : 4

Step-by-step explanation:

Let x represent the amount of 30% solution for 1 unit of 5% solution. Then the amount of acid in the mix is ...

  0.30x + 0.05·1 = 0.10·(x +1)

  0.30x + 0.05 = 0.10x + 0.10 . . . . eliminate parentheses

  0.20x = 0.05 . . . . . . . . . . . . . . . . subtract 0.05+0.10x

  x = 0.05/0.20 = 1/4

That is, the ratio x : 1 is 1 : 4.

Answer:

The ratio of the amount of the 30% solution to the amount of 5% solution will be 1 : 4.

Step-by-step explanation:

Suppose, the amount of 30% acid solution is [tex]x[/tex] and the amount of 5% acid solution is [tex]y[/tex].

So, the total amount of the mixture [tex]= x+y[/tex], which is 10% acid solution.

Amount of acid in 30% solution [tex]= 30\%\ of\ x=0.30x[/tex]

Amount of acid in 5% solution [tex]=5\%\ of\ y= 0.05y[/tex]

Amount of acid in the mixture [tex]=10\%\ of\ (x+y)=0.10(x+y)[/tex]

Now, the equation will be......

[tex]0.30x+0.05y=0.10(x+y)\\ \\ 0.30x+0.05y=0.10x+0.10y\\ \\ 0.30x-0.10x=0.10y-0.05y\\ \\ 0.20x=0.05y\\ \\ \frac{x}{y} =\frac{0.05}{0.20} =\frac{5}{20}=\frac{1}{4}\\ \\ x:y=1:4[/tex]

So, the ratio of the amount of the 30% solution to the amount of 5% solution will be 1 : 4.

To find the intercept we need to substitute 0 for y and solve for x.

For our x-intercept you should get: (6,0), (-2,0)

For our y-intercept you should get (0,-12).

Answer:

segment AM

Step-by-step explanation:

A median is a line segment which joins the vertex of a triangle to the midpoint of the opposite side. The median to BC is the vertex opposite it A joined to its midpoint M. The segment AM is the median.

Answer:

1. Segment AM.

Step-by-step explanation:

We have been given a triangle ABC. Points L, M and N re midpoints of the triangle. We are asked to find the median of segment BC.

We know that median of a triangle is line segment connecting the midpoint of a segment to the opposite vertex.

We can see that angle A is the opposite angle to side BC and M is the midpoint of side BC, therefore, segment AM is the median to side BC and 1st option is the correct choice.

Answer:

Option D.  23.4 pounds

Step-by-step explanation:

step 1

Find the pieces of glass for 22.5 pounds of copper in the sculpture.

using proportion

[tex]\frac{12}{1}=\frac{x}{22.5} \\ \\x=22.5*12\\ \\x=270\ piece\ of\ glass[/tex]

step 2

Find the pounds of bronze used in the sculpture

using proportion

[tex]\frac{6.5}{75}=\frac{x}{270} \\ \\x=270*6.5/75\\ \\x=23.4\ pounds[/tex]

Answer:  The answer is A.  

Step-by-step explanation:  The two big things are a one, so it is 2.00, and then the last box is .02.  Add .02 to 2.00, and get 2.02.  That is less.  2 12/100 is basically 2.12, and the last one is either 23, or 230.  But it is over or equal and not under.  

Answer:

33 cents

Step-by-step explanation:

4/12=1/3=0.33=33 cents

Answer:

= $1/3

Step-by-step explanation:

A dozen contains 12 items

Therefore;

a dozen of doughnuts contains 12 doughnuts

12 doughnuts = $ 4.00

1 doughnuts = 4/12

                    = $ 1/3

Answer:

9/5

Step-by-step explanation:

To find the slope, use the slope formula.

[tex]m = \frac{y_2 - y_1}{x_2-x_1} = \frac{18 - -18}{6--14} = \frac{36}{20} =\frac{9}{5}[/tex]

Answer:

V_rocket  = 44[tex]\pi[/tex]  ft^3  = 138.2 ft^3

Step-by-step explanation:

Volume  of cone

V_cone = (1/3)*([tex]\pi[/tex]*(radius^2))*h

radius = 2ft

h = height of the cone = 3 ft

pi = 3.1416

V_cone = 4[tex]\pi[/tex]  ft^3

Volume cylinder

V_cylin = ([tex]\pi[/tex]*(radius^2))*h_cyl

h_cyl = height of the cylinder = 10 ft

V_cylin  = 40[tex]\pi[/tex]  ft^3

Volume rocket

V_rocket = V_cone  +  V_cylin  = 4[tex]\pi[/tex]  ft^3 + 40[tex]\pi[/tex]  ft^3

V_rocket  = 44[tex]\pi[/tex]  ft^3  = 138.2 ft^3

Hey im happy to help!

your answer here will be 4.

Hope this helps, have a great rest of your day!

Answer:

4

Step-by-step explanation:

Answer:

Vertex Pt (-1,-3) Y=2x^2+4x-1

Step-by-step explanation:

2[ (x+1)^2-1} - 1

2(x+1)^2-2} - 1

2(x+1)^2 - 3

Answer:

A. 40°

Step-by-step explanation:

Hello, there! The angle is across from (vertical to) the angle given. Therefore, the 2 angles are the same.

I hope I helped!

Let me know if you need anything else!

~ Zoe

Answer:

x = 40°, or A)

Step-by-step explanation:

The Vertical Angle Theorem states that if the angles are vertically (directly) opposite of each other, the measurements will be the same.

Therefore, if the opposite angle of x is 40, then x also = 40.

~

Answer:  B) The parabola is narrower.

Step-by-step explanation:

[tex]y=ax^2+bx+c[/tex] is the Standard form of a quadratic function, where a, b and c are coefficients ([tex]a\neq0[/tex]).

With the coefiicient "a" you can determine how narrow or wide the parabola is:

[tex]|a|>1[/tex] makes the parabola narrow.

[tex]0<|a|<1[/tex] makes the parabola wide.

Given the transformation of the parent function: [tex]f(x)=3x^2[/tex], you can identify that:

[tex]a=3[/tex]

Then:

[tex]|a|>1[/tex]

Therefore, as the parent function is multiplied by 3 and know [tex]|a|>1[/tex],   the parabola if narrower than the parabola of the quadratic parent function [tex]f(x)=x^2[/tex].

Answer:

Option B - The parabola is narrower.

Step-by-step explanation:

Given : The function [tex]f(x)=x^2[/tex] is transformed to  [tex]f(x)=3x^2[/tex]

To find : Which statement describes the effect(s) of the transformation on the graph of the original function?

Solution :

When the function of parabola [tex]f(x)=x^2[/tex] is transformed by 'a' unit [tex]f(x)=ax^2[/tex]

Then, [tex]|a|>1[/tex] makes the parabola narrow.

and [tex]0<|a|<1[/tex] makes the parabola wide.

On comparing with given function,

|a|=|3| >1 which is greater than 1.

Which means it makes the parabola narrow.

Therefore, the parabola is narrower.

So, Option B is correct.

Answer:

[tex]\large\boxed{y=2(x+1)^2-3}[/tex]

Step-by-step explanation:

The vertex form of an equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

(h, k) - vertex

We have

[tex]y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)[/tex]

We must use the formula: [tex](a+b)^2=a^2+2ab+b^2\qquad(*)[/tex]

[tex]2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)[/tex]

Use the distributive formula a(b + c) = ab + ac

[tex]2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3[/tex]

Answer:  [tex]\bold{12\sqrt2}[/tex]

Step-by-step explanation:

A 45-45-90 triangle has corresponding sides of: a - a - a√2

Since the side that corresponds to the 90° angle = a√2, then

[tex]a\sqrt2=24\\\\a=\dfrac{24}{\sqrt2}\\\\\\.\ =\dfrac{24}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\,\ =\dfrac{24\sqrt2}{2}\\\\\\.\ =\boxed{12\sqrt2}[/tex]

12 square root of 2 will be the answer

Answer:

A perfect square is a shape with for 90 degree angles

Step-by-step explanation:

The square of an integer is called a perfect square. For example, 49 is a perfect square because 7² = 49. When a radicand is not a perfect square, you can estimate the square root of the radicand.

Answer: OPTION B.

Step-by-step explanation:

The number that are inside of the square root are called "radicands".

To subtract the expressions shown in the image attached, the radicands must be the same.

As you can see, both are equal, therefore, you can subtract the numbers that are in front of the square roots.

Then, you obtain the following result:

[tex]3\sqrt{2}-\sqrt{2}=(3-1)\sqrt{2}=2\sqrt{2}[/tex]

The answer is the option B.

Answer:

The correct answer is option B.  2√2

Step-by-step explanation:

It is given an expression, 3√2 - √2

Simplify the expression

The expression is 3√2 - √2

3√2 - √2 = √2(3 - 1)   ( taking √2 as common)

= √2 x  2

= 2√2

Therefore the simplified form of given expression(3√2 - √2) is 2√2

The correct answer is option B.  2√2

Answer:

option A

option C

option D

Step-by-step explanation:

A function is a special relationship where each input has a unique output.

There could not be different y values for same value of x but it may have two x-values assigned to the same y-value.

In option B

for x = 6

have two different outputs y = -6 and y = -1 REJECTED

In option E

for x = 0

have two different outputs y = 0.5 and y = 2 REJECTED

I think that is line 5

Answer:

Lines 3 & 4

Step-by-step explanation: To find slope you calculate rise/run.

Line 1: 6/2= 3

Line 2: 6/3= 2

Line 3: 6/4= 1.5

Line 4: 6/5 = 1.2

Line 5: 6/6= 1

Lines 3 and 4 are the only two that have a slope that fall between 1 and 2. Notice it said greater than and less than but not equal to.