Select the correct answer from each drop-down menu.
Consider the function f(x) = 2x + 6 and the graph of the function g shown below.
у
The graph of g is the graph of f translated
units

Answer:

11

Step-by-step explanation:

If he scored 7 goals with each goal being worth 2 stars, that's 14 stars. If he missed 6 times, then he lost 3 stars. So the answer is 11.

Answer: c 85.31

Step-by-step explanation:well because the of numbers and thingsd 85.31 is the good answer because im very smart

The calculated area of the minor sector is 90π square cm

From the question, we have the following parameters that can be used in our computation:

The circle (see attachment)

Where, we have

The area of the minor sector is then calculated as

Area = θ/360 * πr²

Substitute the known values in the above equation, so, we have the following representation

Area = 36/360 * π * 30²

Evaluate

Area = 90π

Hence, the area is 90π

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Answer:

C   $126,720

Step-by-step explanation:

First hour: 1280 tickets

Second hour: 20% more than 1280 tickets

20% of 1280 = 0.2 * 1280 = 256

1280 + 256 = 1536

Second hour: 1536 tickets

First & second hour tickets:

1280 + 1536 = 2816

Total sales:

2816 * $45 = $126,720

Answer: C   $126,720

Answer:

5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

5 x 4 = 20 and 25% is equal to 1/4

Answer:

Step-by-step explanation:

c

Answer:

the answer is 21,378.6

Step-by-step explanation:

this is not hard, In this case, the exponent is positive, which means we need to move the decimal point to the right. Specifically, we need to move it four places to the right, since the exponent is 4.

So, starting with 2.13786 x 10^4, we move the decimal point four places to the right to get: 21,378.6

Answer:

72/96 ×100%

3/4 × 100%

300/4%

75%

Answer:

The answer is,

A. 1/2

Step-by-step explanation:

2/3 - 1/6,

We make the denominators equal,

multiplying and dividing 2/3 by 2, we get,

(2/2)(2/3) = 4/6,

then,

(NOTE: 2/2 = 1, and multiplying with 1 makes no difference)

2/3 - 1/6

= (2/2)(2/3) - 1/6

= 4/6 - 1/6

= (4-1)/6

=3/6

=1/2

The number of games in a round-robin elimination tournament can be determined using the formula: Number of games = (Number of teams × (Number of teams - 1)) / 2.

a. For 15 teams: Number of games = (15 × (15 - 1)) / 2 = 105 games.  b. For 30 teams: Number of games = (30 × (30 - 1)) / 2 = 435 games. c. For 18 teams: Number of games = (18 × (18 - 1)) / 2 = 153 games. d. For 5 teams:

Number of games = (5 × (5 - 1)) / 2 = 10 games. e. For 42 teams: Number of games = (42 × (42 - 1)) / 2 = 861 games. f. For 10 teams: Number of games = (10 × (10 - 1)) / 2 = 45 games.  g. For 26 teams: Number of games = (26 × (26 - 1)) / 2 = 325 games. h. For 12 teams: Number of games = (12 × (12 - 1)) / 2 = 66 games. i. For 22 teams: Number of games = (22 × (22 - 1)) / 2 = 231 games. j. For 19 teams: Number of games = (19 × (19 - 1)) / 2 = 171 games.

Therefore, the number of games for each scenario is as listed above.

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Answer: D

Step-by-step explanation:

(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get \(6x^2\)

Answer:

how many toys are in each group?

The equation of the line perpendicular to y = -6 and passing through the point (3, 7) is x = 3.

To find the equation of a line perpendicular to y = -6 and passing through the point (3, 7), we can first determine the slope of the given line. Since y = -6 is a horizontal line, its slope is 0.

A line perpendicular to a horizontal line will be a vertical line with an undefined slope. Thus, the equation of the perpendicular line passing through (3, 7) will be x = 3.

Therefore, the equation of the line perpendicular to y = -6 and passing through the point (3, 7) is x = 3.

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\(\tan 30^{\circ} = \dfrac{AB}{AC}\\\\\implies \dfrac 1{\sqrt 3} = \dfrac{AB}{6}\\\\\implies AB= \dfrac 6{\sqrt 3}=2\sqrt 3 \approx 3.47\)

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The measure of two angles are 39 degree and 69 degree. By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree, so the final angle is 72 degree. Therefore, the largest angle in the triangle is 72 degree.

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Given:

\(The\;sum\;of\;two\;angles\;in\;a\;triangle\;is\;\frac{6}{5}\;of\;a\;right\;angle\;is,\;\frac{6}{5} \times 90^{\circ} = 108^{\circ}\)

\(let\;x\;is\;the\;measure\;of\;the\;first\;angle\)

\(one\;of\;these\;two\;angles\;is\;30\;larger\;than\;the\;other,\;is\;x+30=108\)

We know that sum of two angles is 108

\(x+x+30=108^{\circ}\)

\(2x+30=108\)

\(2x=108-30\)

\(2x=78\)

\(x=39^{\circ}\)

Second angle y is,

\(y=x+30\)

\(y=39+30\)

\(y=69^{\circ}\)

By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree,

Third angle z is,

\(x+y+z=180\)

\(39+69+z=180\)

\(108+z=180\)

\(z=180-108\)

\(z=72^{\circ}\)

\(By\;comparing\;the\;angles\;39^{\circ},\;69^{\circ}\;and\;72^{\circ}, 72^{\circ}\; is\;greater\)

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Answer:

The correct option is;

D. y = 3·x - 5

Step-by-step explanation:

From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;

The slope = (1 - (-7))/(2 - (-0.5)) = 3.2

Taking the slope of the line of best fit as approximately equal to 3, we have;

3.2 ≈ 3

The equation of the line in point and slope form is therefore;

y - 1 = 3 × (x - 2)

y = 3·x - 6 + 1

∴ y = 3·x - 5

Answer:

D

Step-by-step explanation:

The balance in the savings account after 2 years of compounding bi-weekly with a rate of 8% is 14.

The principal amount = 12000

The time period for which the compound interest is to be calculated = 2 years.

The rate of interest  = 8%

The interest is compounded bi-weekly.

We need to find the balance after 2 years.

Compound interest is the interest calculated on the principal and interest together for a given time period.

The formula used to calculate the amount when interest is compounded:

        \(P(1+\frac{r}{n})^{nt}\\ Where~n~is~the~number~of~times~the~interest~is~compounded~annually\\r=rate~of~interest\\t=time~period.\)

We have,

P = 12000

T= 2 years

R = 8%

Compounded bi-weekly means every two weeks = 14 days

In a year we have 365 so we have around 52 weeks.

The number of  2-weeks in a year :

365 / 14 = 26.

We have, n = 26.

Putting P = 1200, T = 2, R = 8% and n = 26 in the amount of compound interest formula.

We get,

\(12000(1+\frac{8/100}{26})^{26\times2}\\12000(1+\frac{0.08}{26})^{52}\\12000(1+0.00307)^{52} \\12000(1.00307)^{52}\\12000\times1.172\\14,078\)

Rounding to the nearest whole number.

Amount / balance = 14.

Thus the balance in the saving account after 2 years of compounding bi-weekly with a rate of 8% is 14

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Step-by-step explanation:

To eliminate the square root, raise both sides to the second power.

For e.z

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

\(x + 2 = 0\)

\(x = - 2\)

Answer:

Each friend is running a half mile.

They are running 1/2 mile.

The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.

They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.

Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race

total distance covered by them out of 2 miles is

2 x 1/4 = 1/2 miles

Therefore each person runs at 1/2 a mile.

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Step-by-step explanation:

the function is

ride cost c = mile rate r × miles m + flat rate f

c = r×m + f

now let's put the values in we know and solve for r and f :

9 = r×3 + f

17 = r×7 + f

now, since one term is the same in both equations, we use a simple trick for speed, and we subtract the whole first equation from the second :

17 = r×7 + f

- 9 = r×3 + f

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

8 = r×4 + 0

r = 8/4 = $2

9 = 2×3 + f = 6 + f

f = $3

the first rate is $3, and it costs $2 per mile.

Answer:

$30

Step-by-step explanation:

6 box = 18

1 box = 3

10 box = 30

The function f'(2) is  32 / 7 and f(-5) = -445.

To find f'(2) for the equation 3^4 + f(x) + x^2(f(x))^2 = 0, we need to differentiate both sides of the equation with respect to x. Since we are evaluating f'(2), we are finding the derivative at x = 2.

Differentiating the equation:

d/dx [3^4 + f(x) + x^2(f(x))^2] = d/dx [0]

0 + f'(x) + 2x(f(x))^2 + x^2(2f(x)f'(x)) = 0

Since we are looking for f'(2), we can substitute x = 2 into the equation:

0 + f'(2) + 2(2)(f(2))^2 + (2)^2(2f(2)f'(2)) = 0

Simplifying the equation using the given information f(2) = -2:

f'(2) + 8(-2)^2 + 4(-2)(f'(2)) = 0

f'(2) + 8(4) - 8(f'(2)) = 0

f'(2) - 8f'(2) + 32 = 0

-7f'(2) + 32 = 0

-7f'(2) = -32

f'(2) = -32 / -7

f'(2) = 32 / 7

Therefore, f'(2) = 32 / 7.

For the second part of the question, we are given the equation 2g(x) + 7x sin(g(x)) = 28x^2 + 67x + 40 and g(-5) = 0. We need to find f(-5).

Since we are given g(-5) = 0, we can substitute x = -5 into the equation:

2g(-5) + 7(-5)sin(g(-5)) = 28(-5)^2 + 67(-5) + 40

0 + (-35)sin(0) = 28(25) - 67(5) + 40

0 + 0 = 700 - 335 + 40

0 = 405 + 40

0 = 445

Therefore, f(-5) = -445.

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Answer:

x=4

Step-by-step explanation:

Can't be first because it would be the equation 0(-4) which would equal 0

Can't be last because numbers would be too big

Can't be x=-4 because numbers would be too low

Has to be x=4 because:

(4+6)(4+2)=60

10x6=60

The value of solution of the expression is,

⇒ x = 4

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The expression is,

⇒ (x + 6)(x + 2) = 60

Now, We can simplify as;

⇒ (x + 6)(x + 2) = 60

⇒ x² + 8x + 12 = 60

⇒ x² + 8x - 48 = 0

⇒ x² + 12x - 4x - 48 = 0

⇒ x (x + 12) - 4 (x + 12) = 0

⇒ (x + 12) (x - 4) = 0

⇒ x = - 12

⇒ x = 4

Thus, The value of solution of the expression is,

⇒ x = 4

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The number that can each terms of the equation be multiplied by to eliminate the decimals before solving is 100

The equation is

5.6j + 0.12 = 4 + 1.1j

The equation is defined as the mathematical expression that shows the relationship between one expression and another expression with equal sign. The equation consist of mathematical operator like addition, subtraction, division and multiplication

The equation is

5.6j + 0.12 = 4 + 1.1j

Here three term has fractional part.

In 0.12 there are two digits after the decimal point to eliminate the decimal number we have to multiply the number with 100 .

Then the equation will become

560j + 12 = 400 + 110j

Therefore, the number is 100

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The given question is incomplete, the complete question is

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

5.6j + 0.12 = 4 + 1.1j

Answer:

8 times

Step-by-step explanation:

multiply 10$ for hannah and 10$ for her dad by 8 times then you would get 160$ which would make the 140$ family membership a beter deal by 20$

The y/x = 7/10 equation represents a proportional relationship that has a constant of proportionality equal to 0.7.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality. A set of such values is called a solution set to the considered equation or inequality.

The usual representation of a proportional relationship is:

 y = kx

You want the constant of proportionality (k) to be 7/10, so this is:

 y = (7/10)x

Dividing by x gives the equivalent relationship:

 y/x = 7/10

Hence, The y/x = 7/10 equation represents a proportional relationship that has a constant of proportionality equal to 0.7.

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Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

10 cent coins = 43

Step-by-step explanation:

x = 10 cent coins

y = 5 cent coins

x + y = 157, then y = 157 - x

$10 = 1000 cents

0.10x + 0.05y =1000

substitute for y:

0.10x + 0.05(157 - x) = 1000

0.10x + 7.85 - 0.05x = 1000

combine like terms:

0.05x = 2.15

x = 43

y = 114