Which graph represents the function f(x) = log10(x) − 2? (1 point) logarithmic function passing through point 3, 0. logarithmic function passing through point negative 1, 0. logarithmic function passing through point 1, 2. logarithmic function passing through point 1, negative 2.

Answers

Answer 1

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.


Related Questions

This is for adding and subtracting polynomials, word problems. I have real difficulty with word problems in math, so please help me!

Answers

please see the attached picture for full solution

Hope it helps..

HELP! WILL GIVE BRAINLIEST!

Answers

Answer: The answer is A

Step-by-step explanation: There are different ways to solve this type of problem. One way I would do it is to use a piece of wax paper to trace the shape then rotate the paper to get the answer.

A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?

Answers

Answer:

A)The probability of randomly selecting a score less than X=51 is 0.3085

B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587

C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013

Step-by-step explanation:

Mean =[tex]\mu = 54[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?

Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{51-54}{6}[/tex]

Z=-0.5

Refer the Z table for p value

So, P(x<51)=0.3085

So,the probability of randomly selecting a score less than X=51 is 0.3085

B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?

Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]

Z=-1

Refer the Z table for p value

So, P(x<51)=0.1587

So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587

C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?

Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]

Z=-3

Refer the Z table for p value

So, P(x<51)=0.0013

So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013

What is the result of subtracting the second equation from the first?
-2x + y = 0
-73 + 3y = 2

Answers

Answer:

The result is 2x + 2y - 73 = 2.

-2x + y = 0 (equation1)
-73 + 3y = 2 (equation 2)
First of all, rearrange and simplify equation so they’re in the format of y= ax + b.

Equation 1
-2x + y = 0
y = 2x + 0
y = 2x

Equation2:
-73+3y=2
3y = 2 + 73
3y = 75
3y/3 = 75/3
y= 25
Subtract second equation from first:)
y= 2x - 25
Hope this helped :)

Solve |x|=5

A{-5}
B{5}
C{-5,5}

Answers

Answer:

[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]

C is your answer

Step-by-step explanation:

[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]

C is your answer
use absolute value

how do i calculate the first quartile and the third quartile???
!!!please help!!!

Answers

Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99

Step-by-step explanation: Ok, so let's put the data set from least to greatest....

(63, 63, 76,) (77, 79,) (84, 99, 99)

First Quartile              Third Quartile

First, let's find the median, since you made a little mistake...

77 + 79 = 156

156 ÷ 2 = 78

The median is 78!

Now, let's determine the first quartile and the third quartile.

For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...

First Quartile: 63

Third Quartile: 99

I hope this helps!

Jordan was looking for a cheap cell phone plan.
Plan A charges $10 monthly fee plus $0.25 per text
Plan B charges $6 monthly fee plus $0.35 per text
If she wants the plan for 5 months and sends 100 texts which plan would be the cheapest? Explain

Answers

Answer: Plan B

Step-by-step explanation:

First you would find out how much they have to pay the monthly fee in 5 months. Plan A pays $50 in 5 months and Plan B pays $30 in 5 months

Then you find he amount of money that they need to pay for a hundred texts. Plan A spends $25 and Plan B spends $35 .

Then you add the numbers together and Plan A you would pay $75 and Plan B you would spend $65

The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760

Answers

Answer:

750

Step-by-step explanation:

Applying for credit from any place pulls your credit report.  When your credit report is pulled, your score decreases some.  

However, this will not have a large effect on your score, so 750 would most likely be the new score.

Getting a store credit card affects the credit score a little bit, so the answer would likely be D.

please mark brainliest :)

Identify a pattern in this list of numbers. Then use this pattern to find the next number.​ (More than one pattern might​ exist, so it is possible that there is more than one correct​ answer.) 3​, 5​, 9​, 15​, 23​, 33​, ​_____

Answers

Answer:

a)   45

The sequence  3 , 5, 9 , 15 , 23 , 33 , 45

Step-by-step explanation:

Given The sequence  3 , 5, 9 , 15 , 23 , 33

First term = 3

Add 2  of first term  

Second term  = 3 +2 = 5

Add 4  of second term  

Third term = 5 + 4 = 9

Add 6  of Third term  

Fourth term  = 9 + 6 = 15

Add 8 of  fourth term

fifth term = 15 + 8 = 23

Add 10 of fifth term

sixth term = 23 + 10 = 33

Add 12 of sixth term

seventh term = 33 +12 = 45

Final answer:-

Now the sequence   3​, 5​, 9​, 15​, 23​, 33​, ​__45___

Figure 3:

1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total

1. 9
2. 12
3. 18

Answers

c) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.

Answer:

9

Step-by-step explanation:

Find an equation of the line containing the given pair of points (4,1) and (12,7)

Answers

Answer:

Y = 3/4 X -2

Step-by-step explanation:

Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.

Which of the following has a prime factorization of 2 x 2 x 3 x 5?

Answers

Answer:

60

Step-by-step explanation:

Just multiply them all together.

2 * 2 * 3 * 5 = 60

Answer 60

Step-by-step explanation: 60 devided by 2 = 30

30 devided by 2 = 15

15 devided by 3 = 5

5 devided by 5 = 1

hence verified

Fully explain the solution set to the equation below.
1x = -1

Answers

Answer:

The answer for x should equal: -1.

Step-by-step explanation:

To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.

I'm so confused, can someone please help. thx

Answers

The answer is y = x •15

Answer:

26.25 in³, y = 15x

Step-by-step explanation:

2. Volume is multiplying the length, width, and height of a rectangular prism together.

Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5

= 26.25 in³

3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:

y = 15x

Hope this helps :)

The diagram below shows a balanced hanger.

Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right

Answers

Answer:

a. b. c.

Step-by-step explanation:

As per picture one square= 2 circles

To keep balance same amount to be added to both sides

a. Adding two circles on the left and a square on the right

yes

b. Adding 2 triangles to each side

yes

c. Adding two circles on the right and a square on the left

yes

d. Adding a circle on the left and a square on the right

no

e. Adding a triangle on the left and a square on the right

no

vvggggggfgfffgggtttt

Answers

Answer:

B

Step-by-step explanation:

The farmer plants 195 rows of beets and has 25 beet plants left over

Answer:

The farmer plants 195 rows of beets and has 25 beet plants left over. The R next to 195 means " remainder" so had acquired an answer which was 195 with a remainder of 25. In conclusion, The farmer plants 195 rows of beets and has 25 beet plants left over.

Step-by-step explanation:

someone pls help me

Answers

Answer:

x   5  2  -1  -7  -10   1    -19

y   10 4  8   6  20  24  32

Step-by-step explanation:

Hope this helps!

This is for the x section   5  2  -1  -7  -10   1    -19

This is for the y section   10 4  8   6  20  24  32

Correct me if i'm wrong

What is the following sum in simplest form?
√8 + 3 √2+ √ 32

A. 3 √8+ 3 √2
B. 5 √42
C. 9 √2
D. 5 √2 + √32

Answers

Answer:

C.  9√2.

Step-by-step explanation:

√8 + 3 √2+ √ 32

= √4 *√2 + 3√2 +  √16*√2

= 2√2 + 3√2 + 4√2

= 9√2.

WILL GIVE BRAINIEST!! A circle has a radius of 14. Let AB be a chord of the circle, such that AB = 12. What is the distance between the chord and the center of the circle?

Answers

Step-by-step explanation:

ETA ES LA FÓRMULA:

x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6

I NEED HELP QUICK! PLEASE

Answers

Answer:

(a, 0), (0, b), (-a, 0), (0, - b)

Step-by-step explanation:

Since, all vertices of the rhombus lie in the x and y axes.

x - axis is given by a and y - axis is given by b.

Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).

Estelle bought 7.2 pounds of oatmeal and gave 6.1 pounds of it to a neighbor. How much
oatmeal does Estelle have left?
pounds​

Answers

Answer:

1.1

Step-by-step explanation:

7.2-6.1

Help!!!
Point A(-5,8) is reflected across the line y = x. What are the coordinates of A’?
Show your work an explain!

Answers

Answer:

(8, -5)

Step-by-step explanation:

When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).

A shelf has four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt. You randomly choose one shirt from the shelves. Find the probability of choosing a red shirt. Give your answer as a percent (ex. 32%)

Answers

Answer:

20 %

Step-by-step explanation:

four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts

P(red) = number of red shirts / total

          = 2/10

          = 1/5

           =20 %

Answer:

10%

Step-by-step explanation:

4 blue

2 green

2 gray              

1 white

1 red

4 + 2 + 2 + 1 + 1 = 10

each t-shirt = 10 percent

so 1 red t-shirt = 10%

ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?

Answers

Answer:

4)

Step-by-step explanation:

When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).

Areas ratio is squared to ratio of their sides, so it is not 3).

Perimeter is sum of the sides. All  corresponding sides in similar triangles have the same ratio. So, answer is 4).

The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

What are similar triangles?

"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."

What is ratio?

"It is the comparison of two quantities of the same kind."

For given question,

ΔABC is similar to ΔDEF.

⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]

We know, the perimeters of the similar triangles are in the same ratio as the sides.

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

The ratio of the length of AB to the length of DE is 2:1

[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]

Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

Learn more about similar triangles here:

https://brainly.com/question/25882965

#SPJ2

What is the equation of the function that is graphed as line a ? y = - x + 1 y = 3 x - 1 y = 3 x + 1 y = 1/3x - 1

Answers

Answer:

The answer is option 2.

Step-by-step explanation:

Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.

By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.

Answer:

y = x - 1is this for calvert homeshcool?

How do you convert a fraction to a decimal 1/6

Answers

Answer:

0.166666667

Step-by-step explanation:

to convert a fraction to a decimal, you divide the numerator (1) by the denominator (6)

a line passes through the points (4, -1) and (2, 3), what is the slope of the line?

A, 2
B, 1/2
C. -1/2
D. -2

Answers

The right answer is -2.

please see the attached picture for full solution..

Hope this helps..

Good luck on your assignment

Answer: The social structure of the workplace changed as a result of the Industrial Revolution as well, because laws were passed that allow people to receive days off from work, capped hours and reasonable condition

Step-by-step explanation:

The diameter of a cylinder is 10 feet. The height of the cylinder is 15 feet. What is the approximate volume of the cylinder rounded to the nearest cubic foot? Use 3.14 for π.

Answers

Answer:

1,178 cubic feet

Step-by-step explanation:

volume of cylinder is given by following formula

volume = [tex]\pi r^2l[/tex]

where r is the radius for cylinder and l is the height of cylinder.

____________________

given

diameter of cylinder = 10 feet

radius is half diameter

thus, radius = diameter/2 = 10/2 = 5 feet

height of the cylinder = 15 feet.

[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]

Thus, volume of cylinder is 1,177.5 cubic feet

volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.

Multiply each equation by a constant that would help to eliminate the y terms. 2x-5y=-21 3x-3y=-18 What are the resulting equations?

Answers

Answer:

6x - 15y = -63

15x -15y = -90

Step-by-step explanation:

We need to multiply the two equations by a constant that will eliminate the y terms.

The two equations are:

2x - 5y = -21

3x - 3y = -18

Let us multiply the first by 3 and the second by 6. The resulting equations will be:

6x - 15y = -63

15x -15y = -90

Note: To solve the system of equations we can simply subtract the first from the second.

What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning

Answers

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

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