How does the sketch of a graph of function help describe its behavior

Answer:

Please check the attached diagram.

Thus, we conclude that:

In the diagram,

The blue line indicates that the parent function has been shifted 1 unit upward.

Step-by-step explanation:

Let us recall some transformation knowledge.

We know that

if y = f(x), then y = f(x) + b simply means a transformation of (0, b).

In other words, if we add some constant let say 'b' in the output or y-value, the graph simply shifts upward by b units.

Given that

f(x) = x

so

f(x+1) = x+1 means the parent function f(x) = x has been shifted 1 unit upward.

Please check the attached diagram.

Thus, we conclude that:

In the diagram,

The blue line indicates that the parent function has been shifted 1 unit upward.

Answer:

Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

a) Tank A has 5 fishes with a volume of 40 liters.

Volume per fish = 40 liters/5 fishes

= 8 liters/fish

b) Tank B has 12 fishes with a volume of 100 liters.

Volume per fish = 100 liters/12 fishes

= 8.33 liters/ fish

c) Tank C has 23 fishes with a volume of 180,000 milliliters.

Convert 180,000 milliliters to liters

1 milliliter = 0.001 liter

180,000 milliliters = x

x = 180,000ml × 0.001 l

x = 180 liters

Volume per fish = 180 liters/23 fishes

= 7.8260869565 volume per fish

Approximately = 7.83 liters/fish

Which tank has the greatest volume per fish?

The tank that had the greatest volume per fish is Tank B at 8.33 liters/ fish

Answer:

wouldnt opposite of 4 just be -4

and wouldnt -2 just be at -2?

Step-by-step explanation:

hope this helps <3

Answer:

1. Negative 4

2. Negative 2

Step-by-step explanation:

1. Opposite of positive 4 is negative 4.

Negative 4 will be below sea level, so on the number line it will be below the zero, on -4.

2. Negative 2

Negative 2 will be below sea level, so on the number line it will be below the zero, on -2.

I hope it makes sense.

Answer:

91

Step-by-step explanation:

Substitute 4 in place of x

f(4)=20*4+11

f(4)=80+11

f(4)=91

Answer:

53.3

Step-by-step explanation:

Answer:

Line C

Step-by-step explanation:

slope

Answer:line c

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

x-intercept is ([tex]- \frac{1}{2}, 0[/tex]) and y-intercept is ([tex]0, 2[/tex])

Step-by-step explanation:

We solve the equation when x=0. Let's try that with [tex]y+2=4(x+1)[/tex]

First, let's simplify it so that it resembles [tex]y=mx+b[/tex] more noticeably

[tex]y = 4x + 4 - 2 \\y = 4x + 2[/tex]

Now let's plug in 0 for x to find the y-intercept:

[tex]y = 4\cdot 0 + 2\\y = 2[/tex]

We solve the equation when y=0. Let's try this from the simplified equation we got ([tex]y = 4x + 2[/tex])

[tex]0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}[/tex]

We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.

That means that our x-intercept will be ([tex]- \frac{1}{2}, 0[/tex]) and our y-intercept will be ([tex]0, 2[/tex])

This corresponds to the 3rd option counting from the left.

Good luck!

Answer:

angle j = 98 degrees

angle c = 78 degrees

JK = 16

AD = 32

x=8

y=11

Step-by-step explanation:

Answer:

38.00

Step-by-step explanation:

Answer:

sample proportion of defective items

Step-by-step explanation:

The p-chart is a type of chart in which the sample is taken periodically from the production process, so as to determine if the population proportion of defective items in the sample falls within the control limits on the chart.

For a P-chart, as the sample size gets larger it turns more into a normal distribution making it possible to approximate the distribution of the proportion defective.

Step-by-step explanation:

so x+y=2

a line would have to go 0,2 2,0

so the answer would be D

Answer: (-∞, 3.5)

Step-by-step explanation:

Here we can use the relation:

Exp( Log(X)) = X

Now, we start with the equation:

log(x + 7) > log(3x)

Now we can apply the exponential function to both sides of the inequality to get:

Exp(log(x + 7)) > Exp(log(3x))

x + 7 > 3x

7 > 3x - x

7 > 2x

7/2 > x

3.5 > x

Then the solutions will be all the values of x smaller than 3.5, this set can be written as:

(-∞, 3.5)

Answer:

(0,3)

Step-by-step explanation:

used an online calculator

Answer:

a= -7

Step-by-step explanation:

I hope this helps! :)

Answer:

Willy can ride the bike for 250 miles.

Step-by-step explanation:

$35 - $15 = $20

$0.08 × 12.5 = $1

$1 per 12.5 miles

$20 × 12.5 = 250

Answer:

The answer is 44.99

Step-by-step explanation:

divide 89.98/2= 44.99

Answer:

Follows are the solution to this question:

Step-by-step explanation:

[tex]95 \% \[/tex] the confidence level for z:

[tex]\alpha = 1 - 95 \% \\\\[/tex]

   [tex]= 1 - 0.95 \\\\ = 0.05[/tex]

[tex]\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \ \frac{\alpha}{2} = Z_{0.025} = 1.96[/tex]

Calculating the Margin of error:

[tex]E = Z\ \frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]

   [tex]= 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980[/tex]

The population means estimate a 95 % confidence interval is:

[tex]\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980[/tex]

Answer:

Atomic Particles

The nucleus (center) of the atom contains the protons (positively charged) and the neutrons (no charge). The outermost regions of the atom are called electron shells and contain the electrons (negatively charged).

Step-by-step explanation:

Answer:

One answer: 3/8 or 0.375

Step-by-step explanation:

Answer:

exact form y

=3/8

decimal

y=0.375

Step-by-step explanation:

Answer:$15.66

Step-by-step explanation:

Answer:

81/36

Step-by-step explanation:

81/9 is 9

9 times 4 is 36

Answer:

Hi there the answer is 81/36. Hope this helps! c:

Step-by-step explanation:

First, figure out what ratio was used to make 9, 81.

You can recall that 9 x 9 = 81.

Therefore you must multiply the bottom of the fraction by 9 as well in order to create the correct ratio.

Thus, 4 x 9 = 36.

Answer:

62 is 90.5% of what number?  68.51 (I think)

Answer:

[tex]Perimeter = \frac{39t-4}{4}[/tex]

Step-by-step explanation:

Given

[tex]Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)[/tex]

Required

Determine the perimeter

The perimeter is calculated as the sum of the lengths of the irregular shape.

i.e.

[tex]Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)[/tex]

Remove brackets

[tex]Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2[/tex]

Collect Like Terms

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2[/tex]

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1[/tex]

Convert mixed number to improper fraction.

[tex]Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1[/tex]

Take LCM

[tex]Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1[/tex]

[tex]Perimeter = \frac{39t}{4} -1[/tex]

Take LCM

[tex]Perimeter = \frac{39t-4}{4}[/tex]  --- The perimeter of the shape

We want to find the perimeter of the irregular quadrilateral given that we know its lengths. By direct computation, we will get:

P(t) = (39/4)*t - 1

Remember that for any figure, the perimeter is defined as the sum of the lengths of each side.

Here we have that the lengths of the four sides of the quadrilateral are:

(2 1/4t - 5)

(4t + 3)

(1/2t - 1)

(3t + 2)

So we must sum that, we will get:

P = (2 1/4t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Notice that in the first part we have a mixed number, we can rewrite it as:

2 + 1/4 = 8/4 + 1/4 = 9/4

Then the sum is:

P = ((9/4)t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Now we simplify this sum:

P = (9/4 + 4 + 1/2 + 3)*t + (-5 + 3 - 1 + 2)

P = (39/4)*t - 1

So the perimeter, as a function of t, is:

P(t) = (39/4)*t - 1

If you want to learn more, you can read:

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Answer:

250 cm²

Step-by-step explanation:

1 cm : 2 km

1 cm² : 4 km²

1 000 km² ÷ 4 km² = 250 cm²

Answer:

n = 28

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc, then

35 + m = 0.5 × 98 = 49 ( subtract 35 from both sides )

m = 14

∠ n is at the centre subtended on the same arc as ∠ m , thus

n = 2m = 2 × 14 = 28

Answer:

17

Step-by-step explanation:

To find how many notes of Rs. 500 he has, we need to find out the total value of all the Rs. 500 notes.

Total value of Rs. 20 notes = 20 × 40

                                             = 800

Total value of Rs. 1000 notes = 1000 × 20

                                                 = 20 000

Total value of Rs. 500 notes = 29 300 - 800 - 20 000

                                                = 8500

No. of Rs. 500 notes = 8500 ÷ 500

                                   = 17

Rohit has total 17 notes of Rs.500

" Unitary method is the process of finding value of one unit using which we can find the value of other units."

According to the question,

Number of Rs.20 notes = 40

Total amount of Rs.20 = 20 × 40

                                     = Rs.800

Number of Rs.1000 notes = 20

Total amount of Rs.1000 = 20 × 1000

                                         = Rs.20,000

Total amount of Rs.20 and Rs.1000 notes = 20,000 +800

                                                                      = Rs.20,800

Made a payment of Rs.29,300

Left amount of Rs.500 notes = 29,300 -20,800

                                                = Rs.8500

Number of Rs.500 notes = 8500 ÷ 500

                                          = 17 notes of Rs.500

Hence, Rohit has total 17 notes of Rs.500.

Learn more about unitary method here

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Answer:

30, 60, 90

Step-by-step explanation:

since there are 6 x's in total, and there are a total of 180 degrees in any triangle, we do 180/6= 30

so now we know x=30, 2x=60, and 3x=90