f(x)=−x+2, find f(0)

Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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The length of metal flashing needed to be purchase is \(1\frac{5}{8}\) feet's.

He needs 6 ½ feet of metal flashing to complete a household project.

He has two small pieces measuring 3 1/8 feet and 1 3 / 4 feet.

Therefore, the length of metals for him to purchase can be calculated as follows;

The length he has = 3 1 / 8 + 1 3 / 4

The length he has = 25  /8 + 7 / 4

The length he has =  25 + 14/ 8

The length he has = 39 / 8 feet

Therefore

length required to purchase =  \(6\frac{1}{2} - \frac{39}{8}\)

length required to purchase = \(\frac{13}{2}-\frac{39}{8}\)

length required to purchase =  \(\frac{52-39}{8}\)

length required to purchase = \(\frac{13}{8}\) feet

Therefore,

length of metal flashing required to be purchase = \(\frac{13}{8}\) feet = \(1\frac{5}{8}\) feet

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Answer:

6

Step-by-step explanation:

You should break it up:

600, 90, 3

A hundred is 100; so taking the number with the 3 points, divide it by a hundred: which will give you 6

Answer:6

Step-by-step explanation:

Answer:

so, the size of the shape decreased. By how many times compared to the initial shape is the scale factor,

so scale factor is the ratio of a dimension of the final shape and the corresponding dimension of the initial shape

hence.

scale factor=1.45÷5.8=0.25

ans is A

PLEASE MARK BRAINLIEST

Therefore, the cost of 3 pencils is approximately $1.80.

To find the cost of 3 pencils, we can set up a proportion based on the given information:

7 pencils cost $4.20

Let's assign the cost of 3 pencils as x dollars.

The proportion can be set up as: 7 pencils / $4.20 = 3 pencils / x

To solve for x, we can cross-multiply: 7 * x = 3 * $4.20

7x = $12.60

Dividing both sides of the equation by 7:

x = $12.60 / 7

x ≈ $1.80

Therefore, the cost of 3 pencils is approximately $1.80.

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Answer: a) \(\dfrac{13}{7}\)

Step-by-step explanation:

Median: Line segment from one vertex of a  triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.

Centriod: Point of intersection of a triangle of its medians

.Also, it is \(\dfrac23\) of the distance from vertex to the midpoint of opposite side.

Given:  CD is a median in triangle ABC and M is centriod.

\(\Rightarrow CM=\dfrac23 CD\)

Since CM = x +5 and CD = 5x + 1

\(\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}\)

Correct option is a)

Mode

2 x 5 = 10

6 x 5 = 30

5 x 5 = 25

3 x 5 = 15

7 x 5 = 35

8 x 5 = 40

9 x 5 = 45

2 x 5 = 10

4 x 5 = 20

7 x 5 = 35

4 x 5 = 20

7 x 5 = 35

The mode is 35 because it is repeated 3 times.

In a transformation called a translation, the pre-image is slid either vertically or horizontally.

A translation is a type of transformation in geometry where the pre-image (original figure) is moved or slid to a new position in a specific direction. The movement can be either vertical or horizontal.

When a pre-image is translated vertically, it means that it is moved up or down without any change in its orientation. The entire figure maintains the same shape and size, but its position on the coordinate plane is shifted vertically.

On the other hand, when a pre-image is translated horizontally, it is moved left or right while preserving its original shape and size. The orientation of the figure remains the same, but its position on the coordinate plane is shifted horizontally.

In both cases, the translation occurs without any rotation, reflection, or resizing of the pre-image. The resulting image is a new figure that is congruent to the original but located at a different position on the plane.

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Answer:

x=9

y=3

Step-by-step explanation:

since all three sides of an equlateral triangle are equal:

3x+y=30   then y=30-3x

4x-2y=30

4x-2(30-3x)=30

4x-60+6x=30

10x=90

x=9

3x+y=4x-2y

x=3y

y=3

The y-coordinate of the solution s mathematically given as

y = 1.7

Generally, the equation is mathematically given as

5x + 2y = 7

10x + 4y = 14 .....1

-2x + 6y = 9

-10x + 30y = 45 .....2

Hence, solving further

10x-10x + 4y +30y = 14+45

0 + 34y = 59

y = 1.7

In conclusion,  the y-coordinate of the solution.

y = 1.7

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Step-by-step explanation:

Area of a circle is pi times r-square

\(\pi \: {r}^{2} \)

So...

\( \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} = \frac{22 \times {21}^{2} }{28} \)

Do the rest yourself, my calculator and pen are not handy. Sorry

Answer:

Your answer is: A) x^3-9x^2+14x+24

Multiply each term in the first expression by each term in the second expression and combine like terms.

Step-by-step explanation:

Hope this helped : )

Answer:

190,000

190,000

190,000

Step-by-step explanation:

190,000

190,000

Answer:

11

Step-by-step explanation:

Answer: There are 11  1/2 in 51/2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

As you can see as x increases, y decreases until x = 8, then it increases. So this means that we have a minimum point for x = 8. So this is a quadratic function with a positive value of a. If a was negative then the function would have a maximum point and it's behaviour would be the opposite of this case (y would increase until x = 8 and then it decreases)

Answer:

1,440

Step-by-step explanation:

if first two digits must be odd, then there are 4x3 or 12 combinations for that

if the next three digits can be even or odd but not repeats then there can be 6 (two odds remaining plus four evens) x 5 x 4 = 120

120 x 12 = 1,440

Answer:

C i think

Step-by-step explanation:

pls mark brainlyest

Answer:

B. HL

Step-by-step explanation:

Answer:

base = 11.33 cm

Step-by-step explanation:

height : base = 3 : 2

Let the base = x

3 : 2 :: 17 : x

Product of means = Product of extremes

3 * x = 2 * 17

    x = \(\frac{2*17}{3}\)

    x = 11.33 cm

Answer:

y-9=-1(x+3)

Step-by-step explanation:

The formula for point slope is y2-y1=m(x2-x1). So, we can use the values of the given points to solve the equation for m, or, the slope. We get an equation with the result of 2-9=m(4+3), which gives us the slope as -1. Now, substitute your xy values back in, to get the equation

The linear function is y = (-1/2)x + 4.

What is a linear function?

A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.

Here, we have

Given,

A linear function has an x-intercept of 8 and a y-intercept of 4.

So, The two points on the line are (8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 - 8).

slope(m) = -4/8.

slope(m) = -1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Hence, the linear function is y = (-1/2)x + 4.

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The correct answer is 88/9ft or 9.7ft

Answer:

A (0, 0).

Step-by-step explanation:

y = x

y = -x

Therefore x = -x.

x + x = 0

x = 0

and y = x = 0.

Answer:

Which ordered pair is a solution to the following linear system?

y = x

y = –x

(1, 1)

(0, 1)

(1, 0)

Correct Answer

(0, 0)

Step-by-step explanation:

just did this on a test.

Answer:

First we distribute the -5:

-5(7+x) = -5(7) - 5(x) = -35 - 5x

Then we combine like terms:

-35 - 5x + 2 5/6x = -35 + 2/6x - 5x = -35 + 1/3x - 5x

So:

-5(7+x)+2 5/6x = -35 + 1/3x - 5x

Answer:

--------------------------

Let the original price be x.

After 70% discount the price becomes:

After a further 5% discount the price is:

This is same as $62.70, set up an equation and solve for x:

The  original price of the leather bag was $220.

The measure of LAOD is 180 degrees.

To find the measure of LAOD, we can use the property that the angles formed by intersecting lines are proportional to the lengths of the segments they cut.

Given that LAOB:ZBOC = 2:3, we can express this as a ratio:

LAOB / ZBOC = 2 / 3

Since angles LAOB and ZBOC are adjacent angles formed by intersecting lines, their sum is 180 degrees:

LAOB + ZBOC = 180

Let's substitute the ratio into the equation:

2x + 3x = 180

Combining like terms:

5x = 180

Solving for x:

x = 180 / 5

x = 36

Now, we can find the measures of LAOB and ZBOC:

LAOB = 2x

= 2 × 36

= 72 degrees

ZBOC = 3x

= 3 × 36

= 108 degrees

To find the measure of LAOD, we need to find the sum of LAOB and ZBOC:

LAOD = LAOB + ZBOC =

72 + 108

= 180 degrees

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The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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Answer:

\(x = \frac{4\pi}{3} +2\pi k\) and \(x = \frac{5\pi }{3} +2\pi k\)

Step-by-step explanation:

We solve this equation like normal, isolating sin(x) first

\(2sin(x)+\sqrt{3} = 0\)

\(2sin(x)=-\sqrt{3}\)

\(sin(x)=\frac{-\sqrt{3}}{2}\)

Now we will use the inverse sin function(arcsin) to find an expression for x

You will have to recall that sin(x) is equal to \(\frac{-\sqrt{3}}{2}\) at \(\frac{4\pi }{3}\) and \(\frac{5\pi }{3}\) on the \([0,2\pi )\) interval. The period of sin is is 2π, and therefore we will add this to each of these solutions so that we show it repeats every time we add 2π. Algebraically, it looks like this:

\(arcsin(sin(x))=arcsin(\frac{\sqrt{3}}{2})\)

\(x = \frac{4\pi}{3} +2\pi k\) and \(x = \frac{5\pi }{3} +2\pi k\), where k belongs to all integers.

Hope this helps

To solve the equation 2 sin x + √ 3 = 0, we need to isolate sin x by subtracting √ 3/2 from both sides:

2 sin x = -√ 3

sin x = -√ 3/2

This means that x is in the third and fourth quadrants, where sin x is negative. We can use the unit circle or a calculator to find the reference angle:

sin θ = √ 3/2

θ = 5π/3 or 4π/3

Since x is in the third and fourth quadrants, we add π to the reference angle:

x = π + 5π/3 = 8π/3

x = π + 4π/3 = 7π/3

To find all solutions, we add multiples of 2π to these values:

x = 8π/3 + 2πk

x = 7π/3 + 2πk

where k is any integer. To satisfy the condition 0 < a < c < 2π, we can set k = 0 and k = 1:

a = 7π/3, b = 0, c = 8π/3, d = 0

a = π/3, b = 0, c = 4π/3, d = 0

Therefore, the solutions are:

x = 7π/3 + 2πk, x = 8π/3 + 2πk

where k is any integer, and

0 < 7π/3 < π/3 < 4π/3 < 2π

So, the final answer is:

x = π/3 + 2πk, x = 7π/3 + 2πk, x = 4π/3 + 2πk, x = 8π/3 + 2πk

where k is any integer, and

0 < π/3 < 4π/3 < 2π < 7π/3 < 8π/3.

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the answer is 1320 :) (hopefully you can read the writing in my work)

Answer:

128cm²

Step-by-step explanation:

Formula to find area of rectangle is l×b

In order to find the area of the rectangle we need to apply that formula

\(A =lb\)

\(A = 16\)×\(8\)

\(A = 128\)\(cm\)²

Hence ,  the area of the given rectangle is 128cm²

Answer:

Step-by-step explanation:

ima a braintlest