If you shift the quadratic parent function, f(x) = x2, left 12 units, what is theequation of the new function?O A. g(x) = x^ + 12OB. g(x)=x2-12O C. g(x)=(x-12)²O D. g(x) = (x+12)²SUBMIT

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Answer:

  y = 2x

Step-by-step explanation:

You want the simplified form of y = |x -5| +|x +5| if x > 5.

The graph of the whole function will have turning points where the absolute value expressions are 0:

  x -5 = 0   ⇒   x = 5

  x +5 = 0   ⇒   x = -5

For values of x > 5, we are concerned with that portion of the graph that is to the right of both of these turning points. Hence, both absolute value expressions are positive and unchanged by the absolute value bars.

  y = (x -5) +(x +5) . . . . . . if x > 5

  y = 2x . . . . . . . . . . . . . . collect terms

The simplified function is y = 2x.

__

Additional comment

The attached graph shows y=2x and the given function for x > 5. They are identical. (The y=2x graph is shown dotted, so you can see the red graph of the given function.)

the Answer is C. 367 meters

Answer: 367 meters

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3x6 is 18 so therefore its B

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:

A.36 inches B.150 inches

Step-by-step explanation:

multaply 9×4 for A and 10×15 forB

A

Since AB in perpendicular to CD and bisects mThis can be written as

but

then

pluggin the value of the angle m\(\begin{gathered} 130+2m<\text{DOP}=180 \\ 2m<\text{DOP}=180-130 \\ m<\text{DOP}=\frac{50}{2} \\ m<\text{DOP}=25 \end{gathered}\)Therefore the angle m

B

As we mentioned above the angle mthen m

Using equation (1) of part to find the angle m\(\begin{gathered} m<\text{MOP}+38+38=180 \\ m<\text{MOP}=180-76 \\ m<\text{MOP}=104 \end{gathered}\)therefore the angle m

Answer:

B

Step-by-step explanation:

Please try and answer my questions aswell :) have good day

Answer:

X/8=1

X-4=4

×+2=10

Step-by-step explanation:

hope this helps :)

Step-by-step explanation:

7+7+6+6 = 26 units

because 9-3 = 6 value of the horizonal lines

9-2 = 7 value of the vertical lines

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

Answer:

y = -7/4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

C is the first quadrant (where both x and y are positive).

A is the y-axis.

B is the origin.

D is the x-axis

Answer: D

Step-by-step explanation: it wouldn't be B because that's the origin point and A is the y-axis and C is in the open, the Answer is D

Answer:

L = 34 - 0.5d

21 feet

Step-by-step explanation:

The initial water level ; 34

the amount is rises per day; 0.5

"L" is the water level,

"d" is the days passed.

In order to find the water level, one will have to multiply the amount the water rises each day, by the days passed. Then one will have to subtract that from the initial water level, hence the equation formed is the following;

L = 34 - 0.5d

Substitute in 26 for "d", to solve for the water level after 26 days.

L = 34 - 0.5(26)

L = 34 - 13

L = 21

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Answer:

2

Step-by-step explanation:

Answer:

9x²-36\(y^{5}\)

Step-by-step explanation:

Using compound interest, the amount in the account at the end of the day on her 11th birthday is $240,019.25.

To solve this problem, we can use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)}\)

where A is the amount of money in the account at the end of the 11th year, P is the principal amount (initial deposit), r is the annual interest rate (9%), n is the number of times interest is compounded per year (once annually), and t is the number of years (11).

First, we need to calculate the total amount of money that Gilberto deposited into the account over the 11 years:

1500 + 1500 × 10 = $16,500

Next, we can plug the values into the formula and solve for A:

A = 1500\((1 + 0.09/1)^{(1 * 11)}\) + 1500\((1 + 0.09/1)^{(2 * 11)}\) + ... + 1500\((1 + 0.09/1)^{(11 * 11)}\)

A = 1500 × [\((1.09)^{11}\) + \((1.09)^{22}\) + ... + \((1.09)^{121}\)]

A = 1500 × [\((1.09^{11}\) - 1)/(1.09 - 1)]

A = 1500 × [(1.315 - 1)/(0.09)]

A = $240,019.25

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Answer:

1.2

Step-by-step explanation:

First, you cancel out \(\frac{6}{20}\) to become \(\frac{3}{10}\)

Then that becomes \(-\frac{3}{10}+1.5\)

Now, you convert the element to a decimal form to be \(-0.3+1.5\)

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

A third variable associated with two variables under study that results in a correlation between the two variables, falsely implying a causal relationship between the pair, is a) a lurking variable.

A lurking variable is an uncontrolled and unknown variable but significant effect on both independent and dependent variables.

A lurking variable creates a correlation between the independent and dependent variables without being intended by the researcher.

We can differentiate a lurking variable from a confounding variable.

A confounding variable is taken into account in research and can also influence the variables of interest but it is not credited with any relationship between the independent and dependent (response) variables.

Thus, the existence of a third variable resulting in a correlation between the independent and dependent variables is called a lurking variable.

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Answer:

When a 3D figure is cut to create a cross-section parallel to the base, the direction of the perpendicular is vertical. This means that the cross-section will be perpendicular to the base and will have a vertical orientation.

Answer:

√157

Step-by-step explanation:

Use Pythagorean theorm.

\(11^2 + 6^2 = ?^2\)

121 + 36 = ?^2

157 = ?^2

√157 = ?

Can't simplify.

Answer:

12.5 m

Step-by-step explanation:

You are given the lengths of the legs of a right triangle.

We can use the Pythagorean theorem to find the length of the hypotenuse.

a^2 + b^2 = c^2

(6 m)^2 + (11 m)^2 = c^2

36 m^2 + 121 m^2 = c^2

c^2 = 157 m^2

c = sqrt(157 m^2)

c = sqrt(157) m

Answer: 12.5 m

Answer:

7 1/2 miles

Step-by-step explanation:

Answer:

50.24 yd²

Step-by-step explanation:

pi r² = (3.14)(4)² = 50.24

As a result, if the siblings handed the clerk $50, they received $34 in change.

A mathematical statement that illustrates the equivalence of two expressions is known as an equation. It is made up of variables, integers, and mathematical operations that assert that the value of one expression equals the value of another. Equations may be used to solve mathematical difficulties as well as to simulate real-world situations. Equations can take many different forms, including linear equations, quadratic equations, polynomial equations, and exponential equations. Equations are commonly used to express and evaluate connections between variables and to solve problems in mathematics, science, engineering, and other subjects.

Here,

To solve this problem, we need to find out how much the drinks and popcorn cost, and then subtract that amount from $50 to find the change. Let's assume that a medium drink costs $5 and a small popcorn costs $3. Then the total cost for each sibling would be $5 + $3 = $8.

Since there are two siblings, the total cost for both would be,

$8 * 2 = $16.

So, the change that the siblings would receive would be,

$50 - $16 = $34.

Therefore, the siblings received $34 in change if they gave the cashier $50.

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