Step-by-step explanation:
f (x) = 1 - 5x
g (x) = 2x + 3
find (fog) (x)
it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x
so doing that we'll get
1 - 5(2x + 3)
next expand your brackets
1 - 10x + 15
equate to 0 to make things easier
1 - 10x + 15 = 0
make x the subject
1 + 15 = 10x (this is the same as 10x = 1 + 15)
x = 16/10 (you can leave it as a fraction)
fog(x) = 16/10
find gof (x)
we'll do the same thing again
2(1-5x) + 3
2 -10x + 3 = 0
2 + 3 = 10x
10x = 5
x = 5/10 (reduce)
x = 1/2
gof (x) = 1/2
Help?
I tried : 3b^2(2b-1)(2b+1) and it was wrong ):
Answer:
b(3b−10)(b−1)
Step-by-step explanation:
b(3b−10)(b−1)
If the scale is
2
inches
=
4
feet, what are the actual side lengths of the garden?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Please help me with this math problem!! :)
How would you write the following expression as a sum or difference?
Answer:
B
Step-by-step explanation:
Look at the expression inside the log( ). Work from the outside in, so to speak. First, there's a quotient (the cube root divided by 3x).
[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]
The cube root can be written using a rational exponent.
[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]
Use the exponent property to move the exponent 1/3 out.
[tex]\log (2-x)^{1/3} - \log{3x} = \frac{1}{3} \log{(2-x)} - \log{3x}[/tex]
This now matches answer choice B.
What is the volume of this triangular prism?
Answer:
576 cm squared
Step-by-step explanation:
What are the coordinates of the midpoint between the points (3,-1) and
(7,-5)
i
Answer:
(5,-3)
Step-by-step explanation:
The table shows the relationship between cups of flour and number of eggs needed in a cake recipe.
Which equation represents the relationship shown?
Answer:
you are correct (A)
Step-by-step explanation:
i took this
The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?
A) simplify
B) divide by a
C) complete the square
D) take the square root of both sides
Answer:
answer choice is B
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!2
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this problem in one step, we just have to look at the graph and see how the line works.
The equation of the line is [tex]y=8x+0[/tex] as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.
In words, after reading our equation, we can see the following
"Every hour Anthony works, he earns 8 dollars".
We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis
Hence our answer would be B.
Cheers!
I am really lost in this statistics problem and I would truly appreciate it if someone can help me with it
Answer:
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Any measurement or data collection effort is subject to a number of sources of variation.
Step-by-step explanation:
soo yeah
1.2192 rounded to the nearest hundred
Answer:
1.22
Step-by-step explanation:
Which of the following is not true about a square?
Answer:
All its sides are of equal lengths.
and
It has opposite parallel sides.
Step-by-step explanation:
Which sentence in this conclusion paragraph most clearly reminds the reader of the main points?
(1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading
(3) Indeed, the ending of the story suggests that his faith is never restored.(4) In many ways, Goodman Brown's relationship with faith and Faith is a warning.
(A. Sentence 1
( B. Sentence 4
( C. Sentence 2
( D. Sentence 3
No links.
Answer:
Step-by-step explanation:
I’m doing this too right now and can’t figure it out
The answer is A. Sentence 1
GEOM AGAIN::: PLS ANSWEE QUICK.
Answer:
multiplication property
The answer is Reflexive property
Guided Practice
In each of the equations, the vertex rises or drops along the y-axis. The value of y changes, but the value of x does not change. The x-value remains zero.
Look at the graph of y = 2x^2 + 1 and find the y-value of the vertex.
Which point is the vertex of y = 2x^2 + 1?
A.
(0, 0)
B.
(0, 1)
C.
(1, 0)
D.
(1, 1)
Check Answer
PLZZZ HELP
Find the length of X
Step-by-step explanation:
x=8 this is the answer have a nice night or day!
Find the product of 21 and (6.3 · 10-4).
1.323 · 10 2
1.323 · 10 -3
0.1323 · 10 -1
1.323 · 10 -2
Answer: 1.323x10^-2
Step-by-step explanation:
21*(6.3x10^-4) = 1.323x10^-2
Please answer this question
Answer:
12 12 18 1816 2888
Step-by-step explanation:
Just add on top and subtract on bottom
when graphed the first equation in a system of equations is shown here. The equations below are options for the second equation. which of these options would create a system of equations that has NO SOLUTION select all that apply
please I need immediate help
Answer:
sorry what? the photo is not clear
Step-by-step explanation:
dude the photo
plz brainliest
Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she
wants to divide evenly, with no food left over. What is the greatest number of plates Kayla can
prepare?
A:18
B:12
C:6
D:3
Answer:
C:6
Step-by-step explanation:
During second period, Bonnie completed a grammar worksheet. She got 18 out of 20 questions correct. What percentage did Bonnie get correct?
Answer:
90% correct
Step-by-step explanation:
You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!
Find the area of the yellow region.
Round to the nearest tenth.
Answer:
13.7 cm square
Step-by-step explanation:
Here we see that the square has an area of 8x8= 64 centimeters square. We want to subtract the area of the white part from 64 to find the area of the yellow region. If we were to put the white parts together it would create a circle, so we need to find the area of the circle and then subtract it from 64. The circle would have a radius of one half the length of the square, which would be 4 cm. Area equals pi times radius squared so the area would be 50.27 cm square. 64-50.27= 13.7 cm square
Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours
Answer:
B.) 30 miles in 5 hours
Step-by-step explanation:
If you were to simplify all the ratios:
A) 12:3 divided by 3/3 is 4:1
B) 30:5 divided by 5/5 is 6:1
C) 35:5 divided by 5/5 is 7:1
D) 45:9 divided by 9/9 is 5:1
B is 6:1.
The graph shows which inequality? The vertex is (-4, -3)
Refer to the attachments.
A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.
Answer:
it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test
The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.
How to find the relative frequency?Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The given data from the table as follows;
The subgroup count of the column = 120
The total count = 500
Let x be the relative frequency
The relative frequency is found as;
[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]
Therefore, the value of x is 0.24. So, Option C is correct.
To learn more about the frequency table;
brainly.com/question/12576014
#SPJ2
The length of the base of an isosceles triangle is x. The length of a leg is 5x -5. The perimeter of the triangle is 111. Find x
Answer:
x = 11
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles triangle there is a base and two equal legs
Perimeter = (x) + (5x - 5) = (5x - 5)
111 = 11x -10
111 + 10 = 11x
121 = 11x
[tex]\frac{121}{11} =\frac{11x}{11}[/tex]
x = 11
What are the values of the two angles?
Answer:
the angle 3x is 42 degrees, the angle 12x-30=138 degrees
Step-by-step explanation:
first, write an equation to represent the problem.
3x+(12x-30)=180
3x+12x=210
15x=210
x=14
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.
Theory
There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.
In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.
Now that we know that we can solve the problem.
Solving
So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.
Since we know this, we can state the following equation:
[tex]3x+12x-30=180[/tex]
We can say this due to the rule of Supplementary angles adding up to 180 degrees.
We can now use Algebra to simplify the equation:
[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]
After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.
[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]
We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.
Cheers!
Help meeeeeeeeeeee PLS ASAP
Answer:
A
Step-by-step explanation:
Answer:
angle 1 and angle 5
Step-by-step explanation:
if a temperature is 2 celcious and falls by 7 celcious what is your new temperature
Answer:
-5°C
Step-by-step explanation:
if you want to subtract a smaller number from a bigger number you can consider the number line attached below. I have marked 2 and -5 with blue ink.
When you use a number line, firstly see where your first number lies on the number line, in this case 2 is your first number. If you have to subtract a number, you have to move left and if you have to add a number you have to move right on the number line.
As you have to subtract 7 from 2, move 7 spaces to the left counting zero as a number. If you count 7 spaces to the left, it will end at -5.
So your answer is -5°C.
Hope this helps!!