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ella [17]
1 year ago
13

Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line

A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements. The value of x is . The length of Line segment A B in inches is . The length of Line segment B C in inches is
Mathematics
1 answer:
stiks02 [169]1 year ago
5 0

Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

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The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They already have $600. W
ryzh [129]
The choir members need $1500, but they have $600.  Therefore, they need $1500-$600=$900 more.

Call a the average amount raised by a member.  We see that 30a >= $900.  Dividing by 30, we find that a >= $30, so the average member must raise at least $30.
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1 year ago
Is the equation x9 – 5x3 + 6 = 0 quadratic in form? Explain why or why not.
podryga [215]

Answer:

NOO

Step-by-step explanation:

In order for an equation to be quadratic, the highest degree that is needed is two. The highest exponent provided is 3 therefore no it is not a quadratic function

6 0
1 year ago
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Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviat
MaRussiya [10]

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

z = \frac{X - \mu}{s}

In which:

X is the measured value.

\mu is the expected value.

s = \frac{\sigma}{\sqrt{n}} is the standard deviation of the sample. \sigma is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that \mu = 2.9, \sigma = 0.1

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so X = 3

s = \frac{0.1}{\sqrt{100}} = 0.01

z = \frac{X - \mu}{s}

z = \frac{3 - 2.9}{0.01}

z = 10

8 0
1 year ago
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans pl
gulaghasi [49]
Hans will plant 16 snapdragons.
Hope this helps!
4 0
1 year ago
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In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achi
lubasha [3.4K]

Answer:

Shift 2 unit left

Flip the graph about y-axis

Stretch horizontally by factor 2

Shift vertically up by 2 units

Step-by-step explanation:

Given:

Parent function: f(x)=\log x

Transformation function: f(x)=\log(-2x-4)+2

Take -2 common from transform function f(x)

f(x)=\log[-2(x+2)]+2

Now we see the step-by-step translation

f(x)=\log x

Shift 2 unit left ( x → x+2 )

f(x)=\log(x+2)

Flip the graph about y-axis ( (x+2)  → - (x+2) )

f(x)=\log[-(x+2)]

Stretch horizontally by factor 2 [ -x(x+2) → -2(x+2) ]

f(x)=\log[-2(x+2)]

Shift vertically up by 2 units [ f(x) → f(x) + 2 ]

f(x)=\log[-2(x+2)]+2

Simplify the function:

f(x)=\log(-2x-4)+2

Hence, Using four step of transformation to get new function f(x)=\log(-2x-4)+2

3 0
1 year ago
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