Find the x intercept(s) y= -x^2 + 2

Answers

Answer 1

Answer:

[tex](\pm \sqrt{2}, 0)[/tex]

Step-by-step explanation:

The x intercepts are basically the points at which y = 0.

-x^2 + 2 = 0

-x^2 = -2

x^2 = 2

x = [tex]\pm \sqrt{2}[/tex]

Answer 2

For this case we have by definition, that to find the x-intercept points, we must make the variable y = 0 and clear the value of "x". So:

[tex]y = -x ^ 2 + 2\\0 = -x ^ 2 + 2\\x ^ 2 = 2\\x = \sqrt {2}[/tex]

So, the x-intercepts are:

[tex](x_ {1}, y_ {1}) = (\sqrt {2}, 0)\\(x_ {2}, y_ {2}) = (- \sqrt {2}, 0)[/tex]

ANswer:

[tex](x_ {1}, y_ {1}) = (\sqrt {2}, 0)\\(x_ {2}, y_ {2}) = (- \sqrt {2}, 0)[/tex]


Related Questions

What is the sine cosine and tangent of 120 degrees

Answers

The sin of 120 is the square root of 3 over 2.

The cos of 120 is -1/2

The tan of 120 is negative square root of 3

Use cast rule

120 degrees is in the Quadrant 2 meaning it is in the “S” quadrant AKA where Sin is positive, Cos is negative, & Tan is negative.

I found the angle of the coterminal by subtracting 120° from 180° -> 180-120=60°

Then I used the 30°-60°-90° triangle rule to find my lengths and ratios for sin, cos and tan!




Type the correct answer in the box. Round your answer to the nearest hundredth.
Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º.
Scarlett's height is 1.65 meters, so the height of the dam is meters.

Answers

Answer:

top question is not correct

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

This table shows the length, in inches, of several nails.
Length (in.)

1
2


1
8



3
8



5
16



5
16



5
16



1
2



5
16



3
16



1
8



Create a line plot to display this data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.

Answers

A construction of the line plot for the length, in inches, of several nails is shown in the image attached below.

In Mathematics and Statistics, a line plot is a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

In this scenario and exercise, we would make use of an online graphing calculator (tool) to graphically represent the given length (in yards) of several nails on a line plot as shown in the image attached below;

Length        Frequency

1/2                     2

5/16                   4

1/8                     2

3/8                     1

3/16                    1

In conclusion, we can reasonably infer and logically deduce that the mode of the data set is equal to 5/16 because it has the highest frequency of 4.

Complete Question;

This table shows the length, in inches, of several nails.

Length (in) 1/2, 5/16, 1/8, 1/2, 3/8, 5/16, 5/16, 3/16, 5/16, 1/8.

Create a line plot to display this data. To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.

PLEASE SOLVE THIS ASAP

Answers

OK..

So first you need to divide it into two shapes, rectangle and square

Then u find the area for rectangle and add it with the area of square..

Answer:

I think the answer is 23. Please tell me if I am wrong.

Step-by-step explanation: 8 + 4 = 12   4 + 5 + 2 = 11  12 + 11 = 23

Equation of the blue graph? Thank you!

Answers

Answer:

B

Step-by-step explanation:

The red graph is the graph of the parent function [tex]F(x)=x^2.[/tex]

The blue graph is the red graph translated 4 units to the right.

Rule of translation a units to the right:

[tex]G(x)=F(x-a).[/tex]

Then the function with blue graph has expression:

[tex]G(x)=(x-4)^2.[/tex]

Plz help me with this

Answers

Answer:  False

Step-by-step explanation:

{2, 3, 6, 8, ... } is tending toward infinity, but the terms are increasing - not alternating.


The volume of a cube is 85.184 cubic inches. What is the length of each side of the cube?

Answers

Answer:

4.4 inches

Step-by-step explanation:

To work out the length of each side of the cube you would need to cube root of the volume as seen below:

[tex] \sqrt[3]{85.184} [/tex]

And this gives the answer 4.4 inches.

Answer:

Volume = Length * Width * Height

A cube has equal length, width, and height values.

[tex]\sqrt[3]{85.184}[/tex] is 4.4

So the length of each side is 4.4 units

Which statement about these rectangles is true ?

Answers

the answer for this question is the dilation is reduction

Answer:

The statement which is true about these rectangles is:

          The dilation is an enlargement.

Step-by-step explanation:

Dilation Transformation--

It is the translation which changes the size of the original figure.The shape of the figure is conserved.Also, in dilation either the size increases (i.e. the figure enlarges) or it decreases( i.e. the figure reduces).Also, in a polygon if there is a dilation then there is a scalar multiplication in each of the sides of the polygon.If the scalar multiple is greater than 1 then there is a enlargement.and if the scalar multiple is less than 1 but greater than 0 then there is a reduction.

Here we see that each of the sides of the original figure is multiplied by "1.5" to obtain a larger rectangle.

This means that the dilation is a enlargement.

( since the scalar is strictly greater than one )

What is the total perimeter of this figure? Express your answer in feet.

Answers

Answer:

i need to see the figure

Step-by-step explanation:

Answer:

i cant get the figure to go thru

Step-by-step explanation:

Find the value of y . 13/9 = y/18 y = ___. HELP ME IMMEDIATELYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY PLZ

Answers

Answer: 9 :)

Step-by-step explanation:

Answer:

[tex]y=26[/tex]

Step-by-step explanation:

[tex]\frac{13}{9}=\frac{y}{18}[/tex]

Cross multiply, isolate the variable, and divide by the coefficient to solve.

[tex]\frac{13}{9}=\frac{y}{18} \\ \\ 9y=234 \\ \\ y=26[/tex]

Plug back in to check.

[tex]\frac{13}{9}=1.4... \\ \\ \frac{26}{18}=1.4...[/tex]


What value of y makes
the equation below true?
y + 2.9 = 11
A 8.1
B 8.9
C 9.1
D 13.9

Answers

Answer is “A”

Because since we know if we need to find the y is so we need to subtract 11-2.9=8.1

which mean y mean 8.1

The answer would be A

That is because you can not add unlike terms, so you would have to subtract 2.9 - 11 to find your answer. Therefore, the answer is 8.1

Hope you found this useful.

An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 639 pounds. Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.

Answers

Answer:

Absolute error = 39

Percent Error = 6.10%

Step-by-step explanation:

Actual value = 639 pounds

Observed Value = 600 pounds

The formula to find absolute error is:

Absolute Error = Actual value - Observed Value

                        = 639 - 600

                        = 39

The formula to find Percent error is:

Percent Error = (Actual value - Observed Value / Actual value)*100

                       = (639 - 600/639)*100

                       = 6.10%

                 

Answer:

Absolute error = 39 pounds

Percent error = 6.10%

Step-by-step explanation:

We know that the estimated weight was 600 pounds while the actual weight of the beam was 639 pounds.

So we will find their difference to get the absolute error.

Absolute error = 639 - 600 = 39 pounds

We will use the following formula to find the percent error.

Percent error = (Estimated value - actual value / actual value) * 100

Percent error = 639 - 600 / 600 * 100 = 6.10%

Use the elimination method to solve the system of equations

Answers

Answer:

D- (3, 1).

Step-by-step explanation: Add the first equation so you can figure out what x equals. Then, plug the value into your next equation in order to find y. Hope this helps. :)

For this case we have the following system of equations:

[tex]2x + 4y = 10\\3x-4y = 5[/tex]

We solve by the method of elimination, then:

We add both equations:

[tex]2x + 3x = 10 + 5\\5x = 15\\x = \frac {15} {5}\\x = 3[/tex]

We find the value of y:

[tex]3 (3) -4y = 5\\9-4y = 5\\9-5 = 4y\\4 = 4y\\y = \frac {4} {4}\\y = 1[/tex]

Answer:

(3,1)

Option D

a realty company makes a 6% commission on real estate sales. A house is sold fir 258,000. how much commission did the company make?

please help​

Answers

Answer:  I Believe the company made $15,480.00

Step-by-step explanation:

Because .....

6% × 258,000= 15.48

Then, you would add all the zeroes and your answer will be $15,480.00.

* Hopefully this helps:)

~ Mark me the brainliest:)!!

The bill for a meal at a restaurant is $105.95.If the customer leaves a 20% tip,what is the total cost of the meal with tip

Answers

100% + 20%= 120%

120% of $105.95

=6/5 × $105.95

=6 × $21.19

=$127.14

125.663 in terms of pi

Answers

Just divide by pi, so it would be about 39.999(Pi)

Find the length of the missing side. The triangle is not drawn to scale. Show your work. (Will give brainliest)

Answers

A^2 + b^2 = c^2

C is your hypotenuse or the longest side of the triangle; you plug in your values and solve for the missing side:

15^2 + b^2 = 17^2

225 + b^2 = 289

*-225 on both sides to get b by itself*

B^2 = 64

*to get rid of the ^2; you take the square root*

B = sqrt 64

B= 8 <— final answer

We can use the Pythagorean Theorem to solve for the missing side length (a).

Pythagorean Theorem:

a² + b² = c²

a and b are the legs (shorter sides) of the triangle and c is the hypotenuse (the longer side of the triangle).

1. Substitute in the known values.

a = ?

b = 15

c = 17

a² + 15² = 17²

2. Solve for a.

a² + 15² = 17²

a² + 225 = 289

a² + 225 - 225 = 289 - 225

a² = 64

√a² = √64

a = 8

Hope this helps!

PLZ HELPP 10 POINTS PLZZZ

Answers

Answer:

No,yes,yes,no,yes

Step-by-step explanation:

What is the vertex of the parabola

Answers

Answer:

(1,-4) the vertex will always be the lowest point

Step-by-step explanation:

lowest point my dude

Answer: (1,-4)

Step-by-step explanation: The vertex is either the highest point or the lowest point on the parabola depending on whether the parabola opens upward or downward.

In this case, since the parabola opens upward, we can see that

the vertex is the lowest point on the parabola which is (1,-4).

Emily cycle 22 miles over four days she cycled the same amount each day how many miles per day did she cycle what operation do you use to solve this problem​

Answers

Answer:

5.5 miles per day

Step-by-step explanation:

To divide an amount equally over 4 days, use the division operation. Divide 22/4 = 5.5.

Need help with b and c

Answers

Answer:

Step-by-step explanation:

the formula is:

[tex]a_n = \frac{n+1}{n+2}[/tex]

[tex]a_100 = \frac{101}{103}[\tex]

Answer:

see explanation

Step-by-step explanation:

We note that for each term, the numerator increases by 1 and the denominator increases by 1 from the previous term, that is

term 1 = [tex]\frac{1+1}{1+2}[/tex] = [tex]\frac{2}{3}[/tex]

term 2 = [tex]\frac{2+1}{2+2}[/tex] = [tex]\frac{3}{4}[/tex]

term 3 = [tex]\frac{3+1}{3+2}[/tex] = [tex]\frac{4}{5}[/tex]

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

term 100 = [tex]\frac{100+1}{100+2}[/tex] = [tex]\frac{101}{102}[/tex]

If we let n be the term value, then the n th term is

[tex]a_{n}[/tex] = [tex]\frac{n+1}{n+2}[/tex]

If the equation y = 1 5 x + 2 is changed to y = 1 5 x - 4, how will the graph of the line change? A) It will shift down 4 units. B) It will shift down 6 units. C) It will shift right 4 units. D) It will shift right 6 units.

Answers

Answer:

It will shift down 6 units.

ANSWER

B) It will shift down 6 units.

EXPLANATION

The given function is

y=15x+2

We want to find how the graph of this function will change if the function is transformed to

y=15x-4

We rewrite this function in terms of the first one to get:

y=15x+2+-6

Hence the function with shift down 6 units.

Match the description to the best example so that all terms have a matching example.
1. A set of decimal fractions

2. A set of whole numbers

3. A set of integers

4. A set of natural numbers

5. A set of rational numbers

here are the options

{3,4,5}

{¼,½, ¾ }

{0.1, 0.2, 0.3}

{0,1,2,3 }

{-2, -1, 0, +1}

Answers

Answer:  1. A- (0.1 0.2 0.3)

2.a-(3,4,5)

3.A-(-2,-1,0,+1)

4.a-(0123)

5.a-( 1/4 1/2 3/4

Step-by-step explanation:

I'm sorry you had to wait a whole year to get your answer :)

Final answer:

The exercise involves matching the terms decimal fractions, whole numbers, integers, natural numbers, and rational numbers to their respective sets of numbers. The correct matches are: decimal fractions {0.1, 0.2, 0.3}, whole numbers {0,1,2,3}, integers {-2, -1, 0, +1}, natural numbers {3,4,5}, and rational numbers {1/4,1/2, 3/4}.

Explanation:

The goal here is to

match

the given

description

or term to the given sets of numbers according to their properties. Let's start.

A set of decimal fractions would be {0.1, 0.2, 0.3} as these are fractions written in decimal format. A set of whole numbers would be {0,1,2,3}. Whole numbers include all natural numbers and zero. A set of integers would be {-2, -1, 0, +1}. Integers are numbers that do not have fractional or decimal parts and they include both positive and negative numbers, and the number zero. A set of natural numbers would be {3,4,5} as these are numbers naturally counted starting from 1. Finally, a set of rational numbers would be {1/4,1/2, 3/4}. Rational numbers are numbers that can be expressed as fractions or ratios.

So, we have successfully made a

matching

for each description.

Learn more about matching here:

https://brainly.com/question/36757679

#SPJ2

Find the lateral area and surface area of cone

Answers

Answer:

[tex]\large\boxed{L.A.=168\pi\ in^2}\\\boxed{S.A.=232\pi\ in^2}[/tex]

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rl[/tex]

r - radius

l - slant height

The formula of a surface area of a cone:

[tex]S.A.=\pi r^2+\pi rl[/tex]

We have r= 8in and l = 21in. Substitute:

[tex]L.A.=\pi(8)(21)=168\pi\ in^2[/tex]

[tex]S.A.=\pi(8^2)+168\pi=232\pi\ in^2[/tex]

a tank containing 64 gallons lost 6 1/4% of this through leakage how much is remaining is the tank

Answers

if we take 64 to be the 100%, how much is 6¼% off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{25}{4}}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}[/tex]

Answer:

60 gallons of gas remained in the tank.

Step-by-step explanation:

1) 6 1/4 = 6.25

2) 64*6.25% = 4 OR 64*6 1/4 = 4

3) 64 - 4 = 60

Factor the expression 3x-12

Answers

Answer:

3(x-4)

Step-by-step explanation:

Answer: 3(x-4)

Step-by-step explanation:

Hii! Do you need to factor the expression 3x-12? No problem! (:

Note that both terms have something in common; it's known as the greatest common factor, or g.c.f.

The g.c.f. of 3x and -12 is 3, so we divide both 3x and -12 by 3.

We obtain

x-4

Now we put parentheses around x-4.

(x-4)

Next, we put 3 (the number we factored out) outside these parentheses.

3(x-4)

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

--

If 11 bumper stickers cost $10.34 then 30 bumper stickers cost

Answers

Answer:

$28.20

Step-by-step explanation:

Let's set up an equation.

Let b be the cost of a bumper sticker.

Since the sum of the prices of 11 bumper stickers total up to $10.34, we can set up an equation!

11b = 10.34

Dividing by 11 on both sides,

b  = 0.94

Plugging in b into 30b,

30(0.94)

We get

$28.20

Answer:

$28.20

Step-by-step explanation:

First, find out how much each bumper sticker costs.

Assuming that the cost of each bumper sticker is the same, the following equation represents how much one bumper sticker costs

11x =  10.34

Solve for x [divide both sides by 11]

x = 0.94

So, one bumper sticker costs $0.94

Now, find out how many 30 bumper sticker costs.

The following equation represents how much 30 stickers cost.

30x = y

X represents the cost of one sticker and y represents the cost of 30 stickers.

We already know the value of x [one bumper sticker's cost] which is $0.94, so subsitute that in for x.

30[0.94] = y

28.2 = y

So, 30 bumper stickers cost $28.20.

I hope this helps!

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product?

Answers

Final answer:

Simplifying the expression requires expanding the brackets, combining like terms, and applying algebraic rules including distribution. The resulting simplified form is – 35x2 + 8x – 8 after properly eliminating unnecessary terms and ensuring the solution is valid.

Explanation:

To simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2, we need to apply standard algebraic techniques such as distribution, combining like terms, and simplifying polynomial expressions.

Firstly, distribute the 3x across the parentheses: 3x×(x – 12x) becomes 3x2 – 36x2.

Then, expand the square: – 2(x – 2)2 becomes – 2(x2 – 4x + 4).

Next, we can simplify the expression by combining like terms and further distributing where necessary:

3x2 – 36x2 + 3x2 – 2x2 + 8x – 8

Combine like terms:

– 35x2 + 8x – 8

Eliminate terms wherever possible and check to see if the simplified expression is reasonable. We are using multiplication, distribution, and combination of like terms to simplify the algebraic expression.

Find the area of the following polygon

Answers

Answer:

84 m^2

Step-by-step explanation:

We can break the polygon into a rectangle and a triangle

The rectangle at the bottom is 12 by 4

A = 12*4 = 48

The triangle at the top has a base of 12 and a height of (10-4) = 6

A = 1/2 (12) *6 = 36

The total is the sum of the two areas

A = 48+36 =84 m^2

a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle

Answers

Answer:

20

Step-by-step explanation:

We know that the interior angle measures of a triangle are 180, and we are told that this is a right triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

Final answer:

In a right triangle with one acute angle measuring 70 degrees, the measure of the other acute angle is 20 degrees, as the sum of all angles in a triangle is 180 degrees.

Explanation:

The sum of the angles in any triangle is always 180 degrees. In a right triangle, one of the angles is always 90 degrees, which is the angle that makes it "right." If a right triangle has one acute angle that measures 70 degrees, to find the measure of the other acute angle, we subtract the known angles from 180 degrees:

180 degrees (total in a triangle) - 90 degrees (right angle) - 70 degrees (given acute angle) = 20 degrees.

Therefore, the measure of the other acute angle in the triangle is 20 degrees.

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