A Question 7 (2 points) Retake question
Let f(x)= x + 3
The graph of f(x) is transformed into the graph of g(x) by a translation of 4 units left.
What is the equation for g(x)?
g(x) = |x-1
g(x)= |x-41 +3
g(x) = |x| +7
g(x)= x + 4 + 3

With linear inequalities in two variables, you still have y=mx+b and it still tells you the same thing.

The inequality portion adds two additional layers on top of the y=mx+b line.

If the inequality is > or <, then you draw the line as a dashed line.

If the inequality is ≥ or ≤, then you draw the line as a solid line.

The difference is that points on the > or < line do NOT make the inquality true, while points on the ≥ or ≤ line do.

The other piece is that all the points on one side of the line will also make the inequality true.

If you have "y>mx+b" or "y≥mx+b", then you shade above the line.

If you have "y<mx+b" or "y≤mx+b", then you shade below the line.

So there are three parts:

1. Where is the line?  

2. Is the line solid or dashed?

3. Do you shade above or below the line?

The three graphs are attached.

Answer:

  ∆QRS / ∆XZY = 1/2

Step-by-step explanation:

You want the similarity ratio of ∆QRS to ∆XZY. Side lengths are marked in the diagram.

The similarity ratio will be the ratio of two corresponding side lengths.

You can find corresponding sides several ways:

The ratios of corresponding sides are 1:2, 2:4, and 2:4. The 2:4 ratios reduce to 1:2, which is the answer you're looking for. Written as a fraction, the ratio is ...

  1/2 . . . . ratio of ∆QRS to ∆XZY

Answer:

3/31

Step-by-step explanation:

31 - 28 = 3 left handed students

31 total students

probability that a student chosen at random will be left-handed is 3/31

The answer is 406 apples.

2436 apples divided by 6 boxes gives you the number of apples in each box.

Function may return true or false.

A continuous function is one in which a continuous variation of the input (i.e., a change without a jump) results in a continuous modification of the function's value. This indicates that there aren't any discontinuities, or sudden changes in value.

Here, the function f(x) is continuous.

It follows that if x = 2 then f(x) = 3,

if x = 5 then f(x) = -9,

if x = 7 then f(x) = -15,

if x = 9 then f(x) = -13.

There are at least two solutions in the interval {2,9} for the graph of the function cross x axis f(x) = 0, hence it is not provided.

Therefore, it may be true or false.

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Answer:

a) Liters.

b) Kilograms.

c) Kilometers.

Step-by-step explanation:

I'm not completely sure about C). But after some researching and calculating these answers seem the most correct. But I'm pretty sure A) and B) are right.

The netball team scored 26 points in their fifth game.

Arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.

Let x be the no. of points the netball team scores in the fifth game.

∴ (31 + 31 + 31 + 31 + x)/5 = 30.

(124 + x)/5 = 30.

124 + x = 150.

x = 26.

So, They scored 26 points in their fifth game.

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In order to prove the opposite sides are congruent, the two diagonals of parallelogram ABCD needed.

The given quadrilateral WXYZ is a parallelogram.

A parallelogram is a quadrilateral with opposite sides parallel.

The quadrilateral ABCD have congruent opposite sides only when the diagonals are bisect.

Given that the diagonals of quadrilateral WXYZ intersect at point R.

Since the R is the midpoint.

The opposite sides are equal and opposite angles are equal.

Hence we can say that the given quadrilateral WXYZ is a parallelogram.

Similarly, in order to prove the opposite sides of the parallelogram ABCD is congruent, both diagonal required.

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Answer:

[tex]\frac{x+7}{4}[/tex]

(B) is your answer :)

Step-by-step explanation:

do you need me to work it out?

Answer:

b

Step-by-step explanation: took the test

An equation in slope-intercept form of the line perpendicular to y = 2x-4

is y =(-1/2)x+10.

We are aware that there are many types of equations for lines, with the

general type being Ax+ By + C = 0, and the slope-intercept form equation

being y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept is the point (0,b) where the line intersects the y-axis when

x = 0, and the slope is the rate of change of the y-axis relative to the x-axis.

We are aware that the slopes of perpendicular lines are oppositely negative.

The slope of the given line, y = 2x-4, is 2.

Consequently, the given line will pass through point with a slope of (-1/2). (4,8).

∴8= (-1/2)(4)+b

8= -2+b

b = 10.

∴ y =(-1/2)x+10  is our required line.

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On solving the provided question, we got that - he could divide the large rectangle into two smaller rectangle by cutting into 7 inches by 4 inches each.

The opposite sides of a rectangle are equal and parallel, making it a form of quadrilateral. Four of its sides are equal to 90 degrees, making it a four-sided polygon. Two-dimensional shapes include rectangles.

We know that Darren has a wood piece that measures 7 inches by 8 inches. We are expected to explain how he managed to separate these two enormous rectangles into smaller ones.

Let's imagine that a huge rectangle has a width of 8 inches and a length of 7 inches.

Darren needs to cut two rectangles that are each 4 inches wide and 7 inches long to divide a giant rectangle into two smaller rectangles.

In order to make two smaller rectangles that are each 7 inches long and 4 inches broad, Darren can cut a larger rectangle.

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Answer/Step-by-step explanation:

Okay, so this question really is a nightmare, because this image is just not possible. Like, literally, Z is or is not the center, you do or do not have enough info. Its a bad question. This is not your fault. If you don't care why its a bad question scroll down to "How could someone get 55°"

If Z is the center, BZ and CZ are radii and equal. Angle CBZ is 60° because

AngleABC + Angle CBZ = 180°

120° + CBZ = 180°

CBZ = 60°

That means AngleC is also 60°. And then, since 180° in a triangle, AngleCZB also must be 60°.

This makes AngleCZD 120°.

But if Z is the center and ArcCD is 115°, then AngleCZD should be 115°.

Contradiction! Angle CZD can't be both 120° and 115° something is wrong here. See image.

How could someone get 55°? Well, it is also not correct but... If ArcCD is 115° then AngleCZD is 115° (if Z is the center) So AngleCZB is 180°-115°, which is 65°.

AngleCBZ is 60°

60° + 65° + C = 180°

125 + C = 180

C = 55°

Answer:

5 hours

Step-by-step explanation:

40=8x

x=5

The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If 5 bunnies can eat all the crops in a garden in 8 hours. The relation between work and time will be inverse. Then the product of the number of bunnies and the number of hours remains constant.

Let 'x' be the number of hours. Then the equation is given as,

8 × x = 5 × 8

Simplify the equation, then we have

8 × x = 5 × 8

8x = 40

x = 40 / 8

x = 5 hours

The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.

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Answer:

The lie is #3.

Step-by-step explanation:

1 divided by 7^-3 is not equal to 7^-3. 7^-3/1 is equal to 7^-3 though.

The number of steps in order to return to the starting point will be negative 16.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

Cecil started from Point A and moved according to the expression 10 + (−5) + 19 + 6 + (−19) + 5 + (−10).

Let 'x' be the number of steps in order to return to the starting point. Then the equation is given as,

x + 10 + (−5) + 19 + 6 + (−19) + 5 + (−10) = 0

Simplify the equation, then the equation is given as,

x + 10 − 5 + 19 + 6 − 19 + 5 − 10 = 0

x + 40 − 24 = 0

x + 16 = 0

x = − 16

The number of steps in order to return to the starting point will be negative 16.

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Answer:

7

x

y

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7

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2

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2

y

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3

x

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7

x

y

(

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2

)

.

−

7

x

y

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Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

first, you set up the problem as two fractions: 11 is to 20 as x is to 100. you cross multiply the 11 and 100, then divide that by 20 which gives you 55, which you divide by 100 for the percentage answer.

the probability of a randomly selected person having a birthday in August is 1/12 or 0.0833 rounded to four decimal places.

The probability of a randomly selected person having a birthday in August is 1/12. There are 12 months in a year and August is one of them. Therefore, The probability of a randomly selected person having a birthday in August is 1/12 because there are 12 months in a year and August is one of them. Each month has an equal chance of being chosen since they all have the same number of days. This probability remains the same regardless of whether or not it is a leap year. Therefore, the probability of a randomly selected person having a birthday in August is 1/12 or 0.0833 rounded to four decimal places.The probability of a randomly selected person having a birthday in August is calculated by dividing the number of days in August (31) by the total number of days in a year (365). This works out to be 1/12 or 0.0833 rounded to four decimal places.

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The required radius of the cylindrical can is 4 millimeters.

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases.

Given that,

The height of the cylinder h  = 12 cm.

And volume of the cylinder v = 600 mL

Since, 1 mL = cm³

The volume v = 600 cm³.

Let radius of cylinder is r,

To find the radius, use formula,

Volume of cylinder V = π x r² x h

22/7 x r² x 12 = 600

22/7 x r² = 50

r² = 350 / 22

r² = 15.909

r = 3.98

or r =  4 millimeters.

The radius of the cylinder is 4 millimeters.

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In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.

The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is.

According to the given information

8, 12, 27, 32, 45, 57, 61, 73, 82, 94 data points are provided.

Their average  mean is 49.1.

The computed standard deviation is 29.31988.

The lower and upper limits are provided by the following when one standard deviation from the mean is taken into account.

=  [ 49.1 - 29.31988, 49.1 + 29.31988 }

= [ 19.78012 , 78.41988 ]

We can observe that only six points—27, 32, 45, 57, 61 and 73—or 60% of the total—remain within one standard deviation of the mean.

In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.

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Answer: C 60%; This percentage is lower than expected in a normal distribution.

Using system of linear equations, the price of bread is $3 and cookies is $4

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

Let;

We can write a system of linear equation with this;

40x + 35y = 260 ....eq(i)

64x + 42y = 360 ...eq(ii)

Solving equation (i) and (ii)

The value of x is 3 and y is 4

This shows that the price of bread is $3 and cookies is $4

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Number of square feet of wall painted in 1 hour is 243 square feet. Therefore, option C is the correct answer.

Given that, it takes Zach 10 minutes to paint [tex]40\frac{1}{2}[/tex] square feet of his bedroom wall.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, [tex]40\frac{1}{2}[/tex] square feet = 40.5 square feet

Rate at which he paints the wall =40.5/10

= 4.05 square feet per minute

As we know 1 hour =60 minutes

Now, number of square feet

= 4.05×60

= 243 square feet

Number of square feet of wall painted in 1 hour is 243 square feet. Therefore, option C is the correct answer.

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Answer:

2

Step-by-step explanation:

Pretty sure u know how to do this but

You have 1 dot and you add another dot which gives you 2 dots. And then you add another dot which gives you 3 dots. And then your mean friend takes away one of yours dots, which gives you 2 dots left.

Answer: False

Step-by-step explanation: they are not the same because if you times 3:9 ratio times 2 then it makes it 6 and 18 and does not make 6 : 36

Your welcome - your friend green

Answer:

0.325

Step-by-step explanation:

The answer to this question which is based on Trignometry is that we divide when we want to calculate Trignometric Ratios

How many Trignometric ratios are available?

There are six basic trigonometric ratios: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). These ratios are used to calculate angles and sides of a right triangle.

Whenever we need to calculate Trignometric ratios we have to divide the length of 2 sides of a triangle and one more the Trignometric ratios can be only found in Right Angled triangle

Hence we can just find the Trignometric ratios for any Triangle we can only do it for right Triangles

The values of Trignometric ratios can be negative also and it depends on the angle for which we want to find the Trignometric ratios.

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