Solve for x. Round to the nearest tenth, if necessary.

Answer:

A.

Step-by-step explanation:

The equation of the new function is g(x) = f(x-10) = (x -10)²

A graph can be defined as a pictorial representation or a diagram that represents data or values.

While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.

If the quadratic parent function, f(x) = x² moves right 10 units,

Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²

Learn more about graph here:

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Answer:

-24

Step-by-step explanation:

rest 6 minus 30 and it give you -24

Answer:

a = 2.5, b = 1

Step-by-step explanation:

Given the 2 equations

4a = 5b + 5 → (1)

2a = 3b + 2 → (2)

Multiplying (2) by - 2 and adding the result to (1) will eliminate a

- 4a = - 6b - 4 → (3)

Add (1) and (3) term by term to eliminate a

0 = - b + 1 ( add b to both sides )

b = 1

Substitute b = 1 into either of the 2 equations and solve for a

Substituting into (2)

2a = 3(1) + 2 = 3 + 2 = 5 ( divide both sides by 2 )

a = 2.5

Answer:

a = 2.5

b = 1

Step-by-step explanation:

4a = 5b + 5 and 2a = 3b + 2

→ Multiply the second equation by 2

4a = 6b + 4

→ Subtract this new equation from the first one

0 = b - 1

→ Find b by adding 1 on both sides

b = 1

→ Substitute b into one of the equation

4a = ( 5 × 1 ) + 5

→ Simplify

4a = 10

→ Divide both sides by 4

a = 2.5

Given:

The given statement is "6 less than the difference of 5 and a number".

To find:

The variable expression for the given statement.

Solution:

Let n be the unknown number or the variable.

We know that minus sign is used to represent the difference between two numbers.

Difference of 5 and a number is [tex](5-n)[/tex].

6 less than the difference of 5 and a number is [tex](5-n)-6[/tex].

The required expression for the given statement is [tex](5-n)-6[/tex].

Therefore, the correct option is C.

Answer:

97

Step-by-step explanation:

Arc AT = angle at the center 97°

Answer:

C , negative two times a number, plus seven , is fewer than twenty-seven and five tenths

Answer:

D

Step-by-step explanation:

I got it right on edge

Step-by-step explanation:

Hope it helps If u have any confusion regarding this kindly inform me , i will try my best to answer

[tex]\tt\displaystyle\ \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Answer:

The number of correct answers is 28

Step-by-step explanation:

The value of a correct answer = +3

The value of a wrong answer = -1

The number of questions Ramesh answered = All the questions

The number of mistakes in the question = 5,

Let x represent the number of correct answers therefore, we get;

+3 × x + (-1) × 5 = 79

∴ x = (79 - (-1) × 5)/+3 =  28

The number of correct answers, x = 28

Answer:

x = 3

Step-by-step explanation:

f(x) means function of x, and could be replaced by y to just give a y = mx + b equation. So if f(x) = y = 11, you're pretty much solving for x with the equation

11 = 3x + 2

From there, isolate x, and you have your answer.

11 = 3x + 2

9 = 3x

x = 3

Answer:

x = -6

Step-by-step explanation:

sum means +

36 + 3x = 18

3x = 18 - 36

3x = -18

x = -6

Answer:

Step-by-step explanation:

36 + 3x = 18

subtract 36 from both sides

3x= -18

divide by 3

x = -6

Answer:

in scientific notation, the expression can be written as 6.237 x 10⁶

Step-by-step explanation:

Given;

6.3×10 to the second power times 9.9×10 to the 3rd power

Using scientific notation, it can be interpreted as;

[tex](6.3 \times 10^2) \times (9.9 \times 10^3)[/tex]

This can be simplified as;

[tex](6.3 \times 10^2) \times (9.9 \times 10^3) = (6.3\times 9.9)\times 10^{2+3}\\\\= 62.37\times 10^5 = 6.237\times 10^6[/tex]

Therefore, in scientific notation, the expression can be written as 6.237 x 10⁶

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Hope this helps have a good day

Answer:

x = 7

Step-by-step explanation:

The 2 angles are Alternate exterior angles and are congruent, so

2x - 3 = x + 4 ( subtract x from both sides )

x - 3 = 4 ( add 3 to both sides )

x = 7

For the lines to be parallel, then x = 7

Answer:

1st option.

0 to 100 miles per hour

Step-by-step explanation:

as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.

Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.

out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).

so the domain is

0 to 100 miles per hour.

Answer:

(A) 0 to 100 miles per hour

Step-by-step explanation:

The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.

The only answer that is related to the speed is the first answer choice.

Hope that helps (●'◡'●)

Answer:

the answer is square millimeters

Answer:

28

Step-by-step explanation:

Answer:

Wavelength varies inversely with frequency.

Step-by-step explanation:

Wavelength varies inversely with frequency.

[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]

Where

k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.

Answer:

1) 11.75

2) 11.5

3) 11 and 14

4) 16.75

5) 13, and 16

Step-by-step explanation:

The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8

1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75

2) The data arranged in increasing order is presented as follows;

8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14

The count of he data points = 12

The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12  11)/2 = 11.5

The median = 11.5

3) The mode of the data set are 11 and 14

4) Where there are 5 more days per month that had a temperature above 40°C, we get;

The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5

5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;

8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2

10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16

Therefore, the mode are 13, and 16

Answer:

A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16) → 50 square units

I(-6, 2), J(2, 2), K(2, -8), L(-6, -8) → 80 square units

Q(10, 0), R(15, 5), S(25, -5), T(20, -10) → 100 square units

U(0, 5), V(15, 20), W(25, 10), X(10, -5) → 300 square units

Step-by-step explanation:

The area of a rectangle, given the coordinates of the  vertices is found as follows;

1) The vertices of the rectangle ABCD are; A(-9, 8), B(-5, 5), C(1, 13), and D(-3, 16)

The length of side AB = √((-9 - (-5))² + (8 - 5)²) = 5

The length of side BC = √((1 - (-5))² + (13 - 5)²) = 10

The length of side CD = √((1 - (-3))² + (13 - 16)²) = 5

The length of side DA = √(((-9) - (-3))² + (8 - 16)²) = 10

The area of rectangle ABCD = 5 × 10  = 50 square units

2) The vertices of the rectangle EFGH are; E(30, 20), F(39, 29), G(49, 19), and H(40, 10)

The length of side EF= √((39 - 30)² + (29 - 20)²) = 9·√2

The length of side FG = √((39 - 49)² + (29 - 19)²) = 10·√2

The length of side GH = √((40 - 49)² + (10 - 19)²) = 9·√2

The length of side HE = √((40 - 30)² + (10 - 20)²) = 10·√2

The area of rectangle EFGH = 9·√2 × 10·√2  = 180 square units

3) The vertices of the rectangle IJKL are; I(-6, 2), J(2, 2), K(2, -8), and L(-6, -8)

The length of side IJ= √((-6 - 2)² + (2 - 2)²) = 8

The length of side JK= √((2 - 2)² + ((-8) - 2)²) = 10

The area of rectangle IJKL = IJ × JK

∴ The area of rectangle IJKL = 8 × 10 = 80 square units

4) The vertices of the rectangle MNOP are; M(5, 5), N(11, 5), O(11, -5), and P(5, -5)

The length of side MN = √((5 - 11)² + (5 - 5)²) = 6

The length of side NO = √((11 - 11)² + ((-5) - 5)²) = 10

The area of rectangle MNOP = 6 × 10 = 60 square units

5) The vertices of the rectangle QRST are; Q(10, 0), R(15, 5), S(25, -5), and T(20, -10)

The length of side QR = √((10 - 15)² + (0 - 5)²) = 5·√2

The length of side RS = √((25 - 15)² + ((-5) - 5)²) = 10·√2

The area of rectangle QRST = 5·√2 × 10·√2 = 100 square units

6) The vertices of the rectangle UVWX are; U(0, 5), V(15, 20), W(25, 10), and X(10, -5)

The length of side UV = √((0 - 15)² + (5 - 20)²) = 15·√2

The length of side VW = √((25 - 15)² + (10 - 20)²) = 10·√2

The area of rectangle UVWX = 15·√2 × 10·√2 = 300 square units

Answer:

A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16)—

(50 square units)

I(-6, 2), J(2, 2), K(2, -8), L(-6, -8)—

(80 square units)

Q(10, 0), R(15, 5), S(25, -5), T(20, -10)—(100 square units)

U(0, 5), V(15, 20), W(25, 10), X(10, -5)—(300 square units)

Step-by-step explanation:

got it right on test, hope I helped

Answer:

a is correct option......

Answer:

D

Step-by-step explanation:

Answer:

wait whats your question

Step-by-step explanation:

Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application

Answer: [tex]\frac{5}{9}\ m[/tex]

Step-by-step explanation:

Given

Area of the rectangular piece of paper is [tex]A=\frac{1}{3}\ m^2[/tex]

Length of the paper is [tex]l=\frac{3}{5}\ m[/tex]

Suppose width of the paper is [tex]w[/tex]

Area is the multiplication of length and width

[tex]\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m[/tex]

Thus, the width of the paper is [tex]\frac{5}{9}\ m[/tex]

Answer:

(-7, -3)

Step-by-step explanation:

So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.

To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.

x-coordinate is -3 & y-coordinate is 7

Then you literally just substitute it into the formula like so:

(-y, x) -->(-(7), (-3)) --> (-7, -3)

Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.

Hope it helps and good luck (●'◡'●)

Answer:

(-7,-3)

Step-by-step explanation:

You could read (x,y)->(-y,x) as if I have the point (x,y), the image point is (opposite of y,x).

So shorthand the rule is just saying

(x,y)->(opposite of y, x)

(-3,7)->(-7,-3)

A few more examples:

(5,7)->(-7,5)

(-5,7)->(-7,-5)

(-5,-7)->(7-,5)

(5,-7)->(7,5)

This whole explanation comes down to reading-u as opposite of u.

Opposite just means to change the sign.

Another way to read -u is -1×u.

Example:

Q: evaluate -u if u=8

A: -8

Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×8=-8 or the opposite or 8 is -8.

Example:

Q: evaluate -u if u=-8

A: 8

Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×-8=8 or the opposite or -8 is 8.

Answer: 171.5

Step-by-step explanation:

1/2 x 7 x 7 x7  = 171.5 cm3

Answer:

[tex]volume=1/3(area ~of ~base) \times( height)[/tex]

[tex]v=1/3(7\times7)\times7[/tex]

[tex]v=343/3[/tex]

[tex]v=114[/tex]

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

hope it helps...

have a great day!!

Step-by-step explanation:

...........MaRk As BrAiNeSt

Hello,

[tex]cos^4(x)=(cos^2(x))^2=(1-sin^2(x))^2=1+sin^4(x)-2*sin^2(x)\\\\sin^4(x)-(1+sin^4(x)-2sin^2(x))=\dfrac{1}{2} \\\\1-2sin^2(x)=\dfrac{1}{2} \\\\\\sin^2(x)=\dfrac{1}{4} \\\\sin(x)=\dfrac{1}{2} \ or\ sin(x)=-\dfrac{1}{2} \\\\\\modulo\ 2\pi: \\\\x=\dfrac{\pi}{6}\ or\ x=\dfrac{5*\pi}{6}\ or\ x=-\dfrac{\pi}{6}\ or\ x=-\dfrac{5*\pi}{6}[/tex]