Which is the graph of y = x + 1 - 2?

Answer:

2835x^5.

Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.

Answer:

24

Step-by-step explanation:

4x-6y

substitute:

4x3 - 6x (-2) = 12+12 = 24

Hope this helps

Answer:

Step-by-step explanation:

Vertices of the given triangle ABC are A(-1, 4), B(-1, 1) and C(-3, 1)

Equation of the mirror line → y = x

Rule to reflect these vertices over the mirror line y = x,

(x, y) → (y, x)

Therefore, image points of the vertices will be,

A(-1, 4) → A'(4, -1)

B(-1, 1) → B'(1, -1)

C(-3, 1) → C'(1, -3)

Now we can plot these image points to get the image triangle A'B'C'.

The simplified form of 9^(1/√2) is 3.

By defining the rules for irrational exponents, we can extend the properties of rational exponents to handle expressions with irrational exponents. Let's simplify the expression 9^(1/√2) using these rules.

To simplify the expression, we can rewrite 9 as \(3^2\):

\(3^2\)^(1/√2)

Now, we can apply the rule for exponentiation of exponents, which states that a^(b^c) is equivalent to (a^b)^c:

(3^(2/√2))^1

Next, we can use the rule for rational exponents, where a^(p/q) is equivalent to the qth root of \(a^p\):

√(3^2)^1

Simplifying further, we have:

√3^2

Finally, we can evaluate the square root of \(3^2\):

√9 = 3

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Answer:

40 boxes

Step-by-step explanation:

Total donuts needed = number of employers x 2 = 240 x 2 = 480

Number of boxes = total number of donuts needed ÷ 12 = 480 ÷ 12 = 40

Answer:

third side: 2√14

using pythagoras theorem:

a² + b² = c²

Answer:

The unknown side of this triangle is √56 or 2√14

Step-by-step explanation:

Let the unknown side of this right angled triangle be x , so by using Pythagoras theorem we can find out the third side .

=> P² + B² = H²

=> P² = H² - B²

=> P² = 9² - 5²

=> P² = 81 - 25

=> P² = 56

=> P = √56 or 2√14

Answer:

B

Step-by-step explanation:

5(4)-2(1)=

20-2=

18

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

a drop in temperature means the temperature will decrease.

That decrease is represented with a negative integer which should be added to the previous temperature.

Answer:

x=6/11

x≈0.545

Step-by-step explanation:

They are corresponding angles, so their measurements are congruent to each other. Therefore, you can set them equal to each other and solve for x:

19x+6=30x

6=11x

6/11=x

x=6/11

x≈0.545

The true statement about the equation of the line of best fit (d) For every year a person gets older, their screen time decreases by 3.2 minutes

The equation of the line of best fit is given as:

y = -3.2x + 274.4

Where:

A linear equation is represented as:

y = mx + b

Where:

By comparison, we have:

m = -3.2 and b = 274.4

This means that:

For every year a person gets older, the average screen time decreases by 3.2 minutes

Hence, the true statement is (d)

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Answer:

2 1/10

Step-by-step explanation:

"Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over \(10^{1}\)1 (10). Next, add the whole number to the left of the decimal.

\(2\frac{1}{10}\)"

quote desmos

Answer:

350^4.

Step-by-step explanation:

When dividing the same base by different exponents, subtract the exponents.

The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

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Answer:

x=7

Step-by-step explanation:

Step #1- Set the two lines equal to each other

10+12=x+15

Step #2- Solve for the line you have all values for

10+12=22

Step#3- Plug 22 back into the equation where the two lines are set equal to each other

22=x+15

Step #4- Solve for X algebraically

22=x+15

22-15=x

7=x

Answer:

g = E/2h

Step-by-step explanation:

E = 2gh

g = E/2h

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

9,-5

Step-by-step explanation:

imagine the coordinate on a graph

if it helps draw a graph

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2:  7.6

Steps

look at attached pic for formula

σ^2 = \(\frac{Σ(xi - μ)^{2} }{N}\)

\(\frac{(21 - 25)2 + ... + (29 - 25)2}{5}\)

⇒ \(\frac{38}{5}\)

⇒ 7.6

σ =  \(\sqrt{7.6}\)

⇒   2.756809750418

⇒ or 2.76

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:

2.5 mph

Step-by-step explanation:

70 miles per hour :4 hours

35 miles per hour:8 hours

1 mile per hour:16 hours

60 miler per hour

do 16/6

2.5 hours

Answer:

2 hours = 7200 seconds

7200/15 = 480

25x480 = 12000 chirps in 2 hours

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

info we are given :

25 chirps per 15 second.

1 hour: 60 minutes since we are trying to find out 2 hours it will be 60+60=120

now divide by 15 and times by 8 (8 x 25)

Answer:

Approximately 54°

Step-by-step explanation:

So we know Angle A, the side opposite to Angle A, and the side opposite to Angle B (the angle we want to find). Given these circumstances, we can use the Law of Sines.

The Law of Sines states that:

\(\frac{\sin(A)}{a} =\frac{\sin(B)}{b} =\frac{\sin(C)}{c}\)

The variables do not really matter. Instead, it's more important that the angle corresponding to the side lines up with each other.

Anyways, since we know Side A, Angle A, and Side B, let's use the first and second ratios:

\(\frac{\sin(A)}{a} =\frac{\sin(B)}{b}\)

Plug in 80° for A, 11 for a, and 9 for b:

\(\frac{\sin(80)}{11} =\frac{\sin(B)}{9}\)

Cross multiply to solve for B:

\(9\sin(80)=11\sin(B)\)

Divide both sides by 11:

\(\sin(B)=\frac{9\sin(80)}{11}\)

Use the inverse sine function. And finally, use a calculator to solve:

\(\angle B =\sin^{-1}(\frac{9\sin(80)}{11} )\\\angle B\approx53.6829\textdegree\approx54\textdegree\)

Answer:

D. subract 3x on both sides of the equation

Step-by-step explanation:

3x + 4 = 5x -10; subtract 3x on both sides

4= 2x-10; now add 10 to both sides

14 = 2x; now divide by 2

x = 7

matway hel you 1+1+212FE

Answer:

I think it was easy.

Answer:

1 620 minutes or 27 hrs

Step-by-step explanation:

look at attachment

Answer:

30%

Step-by-step explanation:

3 rows out of 10 are shaded green. 3/10 is 30%

Explanation:

Ignore the horizontal lines. Think of this figure as 10 skinny rectangles line up side by side. Three of them are shaded, so we have 3/10 = 0.30 = 30% of it shaded.

If you wanted to include the horizontal lines, then we have 10*3 = 30 green little squares out of 10*10 = 100 total squares. This leads to the same answer 30/100 = 0.30 = 30%

To compute the performance measures using the Naive Forecast, we need to use the actual values from April to December.

ME (Mean Error) is the average of the forecast errors. To compute it, we subtract the actual values from the forecasts and take the average. In this case, since we are using the Naive Forecast, the forecast for each month is equal to the actual value of the previous month. Therefore, we have:

ME = (1086 - 1008) + (1081 - 1086) + (1036 - 1081) + (1058 - 1036) + (1128 - 1058) + (1113 - 1128) + (1027 - 1113) + (1021 - 1027) + (1081 - 1021) = -29

The MSE (Mean Squared Error) is the average of the squared forecast errors. To compute it, we square each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MSE = [(1086 - 1008)^2 + (1081 - 1086)^2 + (1036 - 1081)^2 + (1058 - 1036)^2 + (1128 - 1058)^2 + (1113 - 1128)^2 + (1027 - 1113)^2 + (1021 - 1027)^2 + (1081 - 1021)^2] / 9 = 2218

MAD (Mean Absolute Deviation) is the average of the absolute forecast errors. To compute it, we take the absolute value of each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MAD = (|1086 - 1008| + |1081 - 1086| + |1036 - 1081| + |1058 - 1036| + |1128 - 1058| + |1113 - 1128| + |1027 - 1113| + |1021 - 1027| + |1081 - 1021|) / 9 = 33

MAPE (Mean Absolute Percentage Error) is the average of the absolute forecast errors as a percentage of the actual values. To compute it, we divide each absolute forecast error by the actual value, sum them up, and then divide by the number of observations. In this case, we have:

MAPE = (|1086 - 1008| / 1008 + |1081 - 1086| / 1086 + |1036 - 1081| / 1081 + |1058 - 1036| / 1036 + |1128 - 1058| / 1058 + |1113 - 1128| / 1128 + |1027 - 1113| / 1113 + |1021 - 1027| / 1027 + |1081 - 1021| / 1021) / 9 * 100 = 2.99%

The Tracking Signal is the ratio of the cumulative forecast errors to the MAD. To compute it, we sum up the forecast errors and divide by the MAD. In this case, we have:

Tracking Signal = (-29) / 33 = -0.88

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Answer:

d, e, a, b, h, c, f, g

Step-by-step explanation:

if you convert them all to decimals you get

a = 0.57

b = 0.64

c = 1.6

d = 0

e = 0.4

f = 2.5

g = 4.3

h = 1.2

in order it goes 0, 0.4, 0.57, 0.64, 1.2, 1.6, 2.5, 4.3