The graph of y=√X is translated 3 units to the right and slid 5 unitsdown, what would be the resulting equation?

Answer:

B

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 ( a ≠ 0 )

Then the sum of the roots = - [tex]\frac{b}{a}[/tex]

A 2x² - 3x + 6 = 0

with a = 2 and b = - 3

sum of roots = - [tex]\frac{-3}{2}[/tex] = [tex]\frac{3}{2}[/tex] ≠ 3

B - x² + 3x - 3 = 0

with a = - 1 and b = 3

sum of roots = - [tex]\frac{3}{-1}[/tex] = 3 ← True

C [tex]\sqrt{2}[/tex] x² - [tex]\frac{3}{\sqrt{2} }[/tex] x + 1

with a = [tex]\sqrt{2}[/tex] and b = - [tex]\frac{3}{\sqrt{2} }[/tex]

sum of roots = - [tex]\frac{-\frac{3}{\sqrt{2} } }{\sqrt{2} }[/tex] = [tex]\frac{3}{2}[/tex] ≠ 3

D 3x² - 3x + 3 = 0

with a = 3 and b = - 3

sum of roots = - [tex]\frac{3}{-3}[/tex] = 1 ≠ 3

Thus the equation with sum of roots as 3 is B

Answer:

[tex]\sqrt[12]{55296}[/tex]/2

Step-by-step explanation:

[tex]\sqrt[4]{6}[/tex]/[tex]\sqrt[3]{2}[/tex]=1.2422

[tex]\sqrt[12]{27}[/tex]/2=0.66 <-- not matching with the top expression.

[tex]\sqrt[4]{24}[/tex]/2=1.11<--not matching with the top expression.

[tex]\sqrt[12]{55296}[/tex]/2=1.2422<-- matches!!

[tex]\sqrt[12]{177147}[/tex]/3=0.91<-- not matching with the top expression.

Answer:

It is C) ^12 square root 55296/2

Step-by-step explanation: I checked with my calculator.

Answer:

Step-by-step explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

[tex]7x + 24 = 3x + 92[/tex]

Move variable to L.H.S and change its sign

[tex]7x - 3x + 24 = 92[/tex]

Move constant to R.H.S and change its sign

[tex]7x - 3x = 92 - 24[/tex]

Calculate

[tex]4x = 68[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{68}{4} [/tex]

Calculate

[tex]x = 17[/tex]

Replacing value

<A = [tex]7x + 24[/tex]

[tex] = 7 \times 17 + 24[/tex]

[tex] = 119 + 24[/tex]

[tex] = 143[/tex]

hope this helps...

Answer:

6/13

Step-by-step explanation:

Of the 13 students who do not own a graphing calculator, 6 are girls.  The probability is 6/13.

Answer:

[tex]\large \boxed{\sf \ \ y=-2 \ \ }[/tex]

Step-by-step explanation:

Hello,

To guess the end behaviours when x tends to [tex]\infty[/tex] you only take into account the highest terms of polynomial expressions.

So the expression will be equivalent to

[tex]\dfrac{-2x^2}{x^2}=-2[/tex]

In other words we can say

[tex]\displaystyle \lim_{x\rightarrow+\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow+\infty} \dfrac{-2x^2}{x^2}=-2\\\\\displaystyle \lim_{x\rightarrow-\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow-\infty} \dfrac{-2x^2}{x^2}=-2\\\\[/tex]

So, the correct answer is y = -2

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

The probability is 0.0053861

Step-by-step explanation:

To answer this question, the best thing to do is to put the wordings in a mathematical expression.

Thus what we have is;

P(z < 2.55)

Now since we have the mathematical expression, the next thing to do here is to use the standard normal distribution table.

From the standard normal distribution table, we can get the probability value that equals the given z-score value

Mathematically this is;

P(z<2.55) = 0.0053861

Answer:

36

Step-by-step explanation:

45*(9/5)=81(The whole score)

81-45=36(the second half score)

Answer:

36

Step-by-step explanation:

Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.

Answer:

≈ 94.9 mi²

Step-by-step explanation:

The area (A) of Δ WXY can be calculated as

A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW

∠ W = 180° - (40 + 21)° = 180° - 61° = 119°

Calculate WX using the Sine rule, that is

[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )

WX sin21° = 11 sin40° ( divide both sides by sin21° )

WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus

A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )

Answer:

Perimeter = (4x + 12)

Step-by-step explanation:

As given in the question itself,

"Perimeter of a polygon is the sum of measures of all the sides of the polygon."

By this property expression to calculate the perimeter of the given polygon will be,

Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2

                = 3x + 4 + (x + 4) + 4

                = 4x + 12

Hence, Perimeter = (4x + 12)

Answer:

8x2-30x+27 has one root (9/4) the square of the other (3/2)

Step-by-step explanation:

8x2+30x+27 = (2*x+3)*(4*x+9)  => solution = {-3/2, -4/9}

One is not the square of the other because squares are positive.

8x2-30x+27 = (2*x-3)*(4*x-9)  =>

solution = {3/2, 4/9}   since (4/9 = (3/2)^2, therefore the preceding question is correct.

Answer:

(x-1.3)^2 + (y+3.5)^2 = 37

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-1.3)^2 + (y--3.5)^2 = (sqrt(37))^2

(x-1.3)^2 + (y+3.5)^2 = 37

Answer:

[tex]\large \boxed{\sf \ \ 23 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]a_1=f(1)=3\\\\a_2=f(1)+4=3+4=7\\\\a_3=f(3)=a_2+4=7+4=11\\\\a_4=a_3+4=11+4=15\\\\a_5=a_4+4=15+4=19\\\\a_6=a_5+4=19+4=23[/tex]

So the answer is 23.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

42

Step-by-step explanation:

P(left) = 0.10

Expected number of lefties among high school grads of 424

= 424 * 0.10

= 42 (to the nearest person)

Answer:

you do 20% of 424

1 0% of 424 =42.4

you could round it to 42

Answer:

8 scoops of flour

Step-by-step explanation:

It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.

So first, do 6/48, which is 1/8.

It takes 1/8 scoop of flour to bake one cookie.

Unit rate: 1/8 scoop of flour per cookies.

Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.

Shelby needs 8 scoops of flour to bake 64 cookies

Answer:

hello, friend(✿◡‿◡)

Step-by-step explanation:

-7Q + 6 + 5Q = 15 - 7

Q=-1

3 (P+5) + P = 3(2+P)

P=-3

2(A+4) + 6A = 2(2 + 3A)

A=-2

Answer:

[tex]\sqrt{3}x^2y+x^3-x[/tex]

Step-by-step explanation:

In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.

The other expressions have exponents that are negatives, rational or the exponent is the same variable.

Answer:

Step-by-step explanation:

Answer:

17,960

Step-by-step explanation:

Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.

First of all, we will find the mean of the given data.

[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]

Or

Mean = (200+130+400+500+345)/5

Mean = 1575/5 = 315.

Second step is to subtract the mean from each book cost;

(200-315) + (130-315) + (400-315) + (500-315) + (345-315)

(-115)+(-185)+85+185+30

Next you square the above deviation;

[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]

Then, divide the above by the average which is 5 in this case.

[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]

Hence, the value of the variance is 17,960.

Answer:

1 out of 6 because you have only one chance to get 4.

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%

Answer:

2 by 3

Step-by-step explanation:

please mark brainliest if it helped

Answer:

[tex]y=-18[/tex]

Step-by-step explanation:

[tex]y=4x+2[/tex] for [tex]x=-5[/tex]

[tex]y=4(-5)+2\\y=-20+2\\y=-18[/tex]

Answer:

y = -18

Step-by-step explanation:

y = 4x+2

Let x = -5

y = 4(-5) +2

y = -20 +2

y = -18

Answer:

The mean temperature for March is higher than January's mean.

Step-by-step explanation:

I took the test. trust me and you will be set free ;D

Answer:

Answer D

Step-by-step explanation:

Triangle XYZ  is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.

Answer:

The correct option is;

Choice A 4·(n - 3) - 6·n

Step-by-step explanation:

The given expression is

Which gives;-6·n+(-12)+4·n

- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)

The options given are Choice A and/or Choice B;

(Choice A) 4·(n - 3) - 6·n

Which can be simplified as follows;

4·(n - 3) - 6·n = 4·n - 12 - 6·n

Which gives;

4·n - 12 - 6·n = 4·n  - 6·n- 12 = -2·n - 12 = -(2·n + 12)

Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n

For choice B, we have;

2·(2·n - 6) which gives;

2·(2·n - 6) = 4·n - 12

Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n

Which gives the correct option as Choice A.

4(n-3)-6n

Khan academy I got this right

here is an example of a fraction that equals a whole number

2/2 would equal a whole number. The bottom number is 2. This means the whole is cut into two equal pieces (halves).

The top number is 2, so we are counting two-halves.

After shading two-halves, you see that the whole circle is shaded. Two-halves is equivalent to 1.

You would plot 2/2 at the same location as the whole number 1.

Answer:

 x               y

1/4              0

13/4            3

 2             7/4

Step-by-step explanation:

To complete the table we just need to replace the value of x and get y as:

for x = 1/4

[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]

for x=13/4

[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]

for x=2

[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]

So, the complete table is:

x            y

1/4         0

13/4       3

2           7/4

Answer:

37

Step-by-step explanation:

Answer:

D. 37

Step-by-step explanation:

Your choice is correct!

Answer:

90 ft²

Step-by-step explanation:

Given the sides of similar figures in the ratio a : b, then

ratio of areas = a² : b²

Here ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the surface area of the new solid is 9 times the first

SA = 9 × 10 = 90 ft²

The total surface area of the new solid in square feet is 90 square feet

Let the solid be a cube.

The surface area of a cube = 6L²

L is the length o the cube;

If the surface area of a solid is 10 square feet, then;

10 = 6L²

L² = 10/6

L = √10/6

If the dimensions of a similar solid are  three times as great as the first, then;

New length Ln = 3√10/6

Total surface area of the new solid = 6Ln²

Total surface area of the new solid = 6(3√10/6)²

Total surface area of the new solid = 6(9*10/6)

Total surface area of the new solid = 6(90/6)

Total surface area of the new solid = 90 square feet

This shows that the total surface area of the new solid in square feet is 90 square feet

Learn more here: https://brainly.com/question/23756628

Answer:

294.5 m²

Step-by-step explanation:

portion of circle is 360 - 130 = 230

πr²*x/360 = π(11.1)²*230/360 = 247.3

then add the non-right triangle area, 1/2ab sinC

1/2(11.1)(11.1) sin 130 = 47.2

247.3 + 47.2 = 294.5 m²