F(x) = 4x+3x
g(x) = 2x-5
7. Find (f+9) (x)
8. Find (f - g) (x)
Answer:
7. [tex](f+g)(x) = 6x - 2[/tex]
8. [tex](f-g)(x) = 2x + 8[/tex]
Step-by-step explanation:
We are given two function, f(x) and g(x).
We want to find their addition and their subtraction, and we do this combining like terms.
The functions are:
[tex]f(x) = 4x + 3[/tex]
[tex]g(x) = 2x - 5[/tex]
7. Find (f+9) (x)
[tex]4x + 3 + 2x - 5 = 4x + 2x + 3 - 5 = 6x - 2[/tex]
So
[tex](f+g)(x) = 6x - 2[/tex]
8. Find (f - g) (x)
[tex]4x + 3 - (2x - 5) = 4x + 3 - 2x + 5 = 4x - 2x + 3 + 5 = 2x + 8[/tex]
So
[tex](f-g)(x) = 2x + 8[/tex]
how do you find the slope of (2,20)(4,40)(6,60)
9514 1404 393
Answer:
slope = 10
Step-by-step explanation:
Examination of the values shows you that each y-value is 10 times the corresponding x value. That means the slope is 10. (If the ratios were different, then the slope formula would need to be used. The fact that they are all the same means y is proportional to x.)
__
You can use the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (40 -20)/(4 -2) = 20/2
m = 10
The slope is 10.
Example 5: An open overhead water tank of dimensions 10m x 6m x 4m is to be made using an iron sheet which is 2cm thick and 47cm wide. Find the cost of the iron sheet used to make the tank at the rate of ₹ 125 per metre.
Find the ratio of the total surface area and lateral surface area of a cube.
Find the side of a cube if its total surface area is 96 sq m.
A swimming pool is of dimensions 25 m x 10 m x 3 m. The water is filled up to a depth of 2.5 metres. What is the quantity of water in the pool in kl and l?
A godown has dimensions 7 m x 4.5 m x 2 m. How many cartons of dimensions 70 cm x 22.5 cm x 40 cm can be stored in it?
Answer:
Step-bgo to the doctor y-step explanation:
can you please help and explain how to do this
Answer:
x = -3
Step-by-step explanation:
Notice that the addition of angle <CDH plus angle <HDE have to give the measure of angle <CDE (which is 144 degrees as stated in the problem)
Then, we can say in equation form:
<CDH + <HDE = 144
replacing with their expressions in terms of x:
x + 93 + 57 + x = 144
solving for x:
2 x + 150 = 144
2 x = 144 - 150
2 x = - 6
x = -3
A right rectangular pyramid is sliced horizontally (across) at the red line by a plane parallel to the base. What is the shape of the cross-section?
9514 1404 393
Answer:
D. Rectangle
Step-by-step explanation:
For any pyramid or prism, a cross section parallel to the base will have the same shape as the base.
A rectangular pyramid will have a rectangular cross section parallel to the base.
Answer:
Rectangle is the correct option.
Step-by-step explanation:
Domesticated animals were primarily valued for meat.
true or false
Answer:
False
Step-by-step explanation:
Hope this helps :)
simplify
2w + ( 5w + 6 )
Answer:
7w + 6
Step-by-step explanation:
2w + (5w + 6) = 2w + 5w + 6 = 7w + 6
Henry says that his set of numbers includes all integers. Iliana argues that he is wrong.
(-15,- 5. - 1.0.2.16)
Which is the best way to explain why Iliana is correct?
Olliana is correct because Henry included negative numbers. Negative numbers are not integers.
Olliana is correct because Henry included a fraction. Fractions are not integers.
Olliana is correct because Henry included zero. Zero is not an integer.
Olliana is correct because Henry included a positive number. Positive numbers are not integers.
Answer:
the answer is c
Step-by-step explanation:
Can someone help with this question
37. Use the equation below to answer parts a-c.
3(-2x + 4) = -6x – 12
A. Solve the equation. Record your solution.
B. Does the equation have one solution, no solutions, or infinitely many solutions?
C. Explain how you know.
Copy
Cut
Paste
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
3(-2x+4) =-6x-12 Equation/Question
Step 2
3(-2x+4) =-6x-12 Remove parenthesis
-6x+12=-6x-12
Step 3
-6x+12=-6x-12 Add 6x to sides
12=-12
Step 4
12=-12 Subtract 12 from sides
-24=0
Answer
No solutions
Hope this helps
Answer:
Step-by-step explanation:
Welp, we gotta solve for the solutions
Step 1
3(-2x + 4) = -6x – 12 Simplify
Step 2
3(-2x + 4) = -6x – 12 subtract 12 from the sides
-6x+12-12=-6x-12-12
-6x=-6x-24
Step 3
-6x=-6x-24 add 6x to the sides
-6x+6x=-6x-24+6x
0=-24 ??
Answer
No solution
if the domain of the coordinate transformation f(x,y)=(y+2,-x-4) is (1,-4),(3,-2), (0,-1)
Answer:
The Fundamental Graphing Principle for Functions says that for a point (a, b) to be on the graph,
f(a) = b. In particular, we know f(0) = 1, f(2) = 3, f(4) = 3 and f(5) = 5. Suppose we wanted to
graph the function defined by the formula g(x) = f(x) + 2. Let’s take a minute to remind ourselves
of what g is doing. We start with an input x to the function f and we obtain the output f(x).
The function g takes the output f(x) and adds 2 to it. In order to graph g, we need to graph the
points (x, g(x)). How are we to find the values for g(x) without a formula for f(x)? The answer is
that we don’t need a formula for f(x), we just need the values of f(x). The values of f(x) are the
y values on the graph of y = f(x). For example, using the points indicated on the graph of f, we
can make the following table.
x (x, f(x)) f(x) g(x) = f(x)
In general, if (a, b) is on the graph of y = f(x), then f(a) = b, so g(a) = f(a) + 2 = b + 2. Hence,
(a, b+ 2) is on the graph o
main role x (x, f(x)) f(x) g(x) = f(x) + 2 (x, g(x))
0 (0, 1) 1 3 (0, 3)
2 (2, 3) 3 5 (2, 5)
4 (4, 3) 3 5 (4, 5)
5 (5, 5) 5 7 (5, 7)
Step-by-step explanation:
Recommendations
WWMMM
Sixth grade
F.3 Word names for decimal
How do you write 3.019 in words?
Submit
What is 1/2 • (-1/7)=
Answer:
mmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Answer:
-1/14
Step-by-step explanation:
We can multiply the numerator by numerator and denominator by denominator:
[tex]\frac{1*(-1)}{2*7} = \frac{-1}{14}[/tex]
I hope this helps! :)
(Guys I really need help with this one question) FGHIJ ~ YUVWX. Find UY and GH.
Answer:
UY = 90
GH = 4
Step-by-step explanation:
Property of similarity of two similar figures:
"If two figures are similar, their corresponding sides are proportional"
Since, FGHIJ ~ YUVWX
[tex]\frac{FG}{UY}= \frac{GH}{UV}= \frac{IJ}{WX}[/tex]
[tex]\frac{10}{UY}= \frac{GH}{36}= \frac{6}{54}[/tex]
[tex]\frac{10}{UY}= \frac{6}{54}[/tex]
UY = [tex]\frac{54\times 10}{6}[/tex]
UY = 90
[tex]\frac{GH}{36}= \frac{6}{54}[/tex]
GH = [tex]\frac{6\times 36}{54}[/tex]
= 4
GH = 4
What is the value of the expression below when a is 3, b is 25, and c is 5?
Answer:
32
Step-by-step explanation:
Complete the inequality to describe the range. −2 y 5
Answer:
-2>y>5
Hope this helps
Is 211 in the sequence below?
7,9, 11, 13, 15, ...
There are 35 students in a college algebra class. If two fifths of the students are female, how many students are in the class?
Answer:
35.
Step-by-step explanation:
You mentioned that there are 35 students in a college algebra class.
One lap around a track is equal to 1/4 of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was the horse's average speed in miles per minute? Need Help!!
Determine the amount of an
investment if $400 is invested at
an annual interest rate of 7.25%
for 7 years. Round to the nearest
penny.
$[ ? ]
Answer:
$652.89
Step-by-step explanation:
i believe this is the answer hope i helped :D
Which of the following is the standard form of the equation 5x2 - 20x = 15?
Answer:
Step-by-step explanation:
vfvsdgsdgses34534534
Which equation has a graph that is parallel to graph y=1/4x+7 and passes through the point (-12,2)
A.)y=-4x-4
B.)y=-4x-46
C.)y=1/4x+5
D.)y=1/4x-25/3
Answer:
C.
Step-by-step explanation:
For Alma to be accepted into her favorite college, she will have to earn an entrance exam score at least 2 standard deviations above the mean. Assume entrance exam scores are normally distributed, with a mean of 800 and a standard deviation of 40. What exam score does Alma need to be accepted at her favorite college?
720
760
840
880
Answer:
880 just took the test
Step-by-step explanation:
Answer:
880 is correct
Step-by-step explanation:
if the mean is 800 and the standard deviation is 40, she needs two of the standard deviation added to 800. Which makes the equation: 800 + 40 + 40 which equals 880.
(I also took the test and got it right OwO)
14. Which statement is true about the equation below?
*5(2x + 8) = 2(5x + 8)
The solution to the equation is greater than 0.
A
B. The solution to the equation is less than 0.
C. The equation has infinitely many solutions.
D. The equation has no solution.
I need a break down to understanding this properly.
3. Arrange these numbers from least to greatest.
-2.5
-1/3 1.7 27/4 -0.9
Answer: -2.5,, -0.9,, -1/3,, 1.7,, 27/4
Step-by-step explanation:
What's the vertex for 6x^2-48x-54=0?
Hello!
[tex]\large\boxed{(4, -150)}[/tex]
We can solve for the vertex by completing the square. Begin by factoring out 6 from the equation to simplify the process:
6(x² - 8x) - 54 = 0
To complete the square, we must look at the first two terms (x² - 8x).
Remember that squaring a binomial uses the format a² + 2ab + b². We are already given a² and 2ab², so solve for b:
-8 / 2 = -4. This is the value of b.
We can rewrite this as:
(x - 4)²
However, this produces +16 which much be taken into account. Substitute (x - 4)² into the original equation:
6(x - 4)² - 54 = 0
Multiply 16 by the term in the front and subtract to cancel out this term:
6(x - 4)² - 54 - (6 · 16) = 0
Simplify:
6(x - 4)² - 150 = 0
In this form, the vertex is given as:
a(x - h)² + k, where h = x-coordinate and k = y-coordinate of the vertex.
In this instance, h = 4 and k = -150, so the coordinates of the vertex are:
(4, -150)
Answer:
y = 6x²-48x-54 has a vertex at (4,-150)
Step-by-step explanation:
There is no vertex. The solution set to 6x²-48x-54 = 0 is two points, (-1,0) and (9,0).
If you mean y = 6x²-48x-54, that is an up-opening parabola.
Put the equation into vertex form:
y = 6x²-48x-54
= 6(x²-8x)-54
= 6(x²-8x+4²)-6·4²-54
= 6(x-4)² - 150
vertex at (4,-150)
Students at MyTeam Middle School completed a survey about their preference for pizza Thursdays. They had three choices: veggie, pepperoni, or cheese. The tables show the choices of the 7th- and 8th-graders.
What value represents the number of 7th graders who prefer pepperoni?
What value represents the number of 8th graders who prefer pepperoni?
What value represents the number of 7th graders who prefer cheese?
What value represents the number of 8th graders who prefer cheese?
Answer:
2 7th graders prefer peperoni
4 8th graders prefer peperoni
7 7th graders prefer cheese
3 8th graders prefer cheese
Step-by-step explanation:
it does tell you the answer but you have to put it down, at least for me
Please help me solve !!!
Answer:
A={3,4,5,...,}
Step-by-step explanation:
Roster form means that we list each element of the set within curly braces
ASAP! Which of the following can be solved by using the equation 5t = 175
Answer:
A, C, and E
Step-by-step explanation:
To solve the equation, you would divide both sides by 5 to get t alone. the remaining equation would be t=35.
To figure out t, you need to do division, therefore the scenario requires division.
A. You can do 175 tons of food ÷ 5 tons a day. t represents the number of days. Therefore, 175÷5=35 days. (division)
B. This would be $175 - $5 since Thomas gave his sister $5. Thomas is left with $170 in winnings. (subtraction)
C. 175 minutes are used to grade 5 tests. 175 minutes ÷ 5 tests = 35 minutes spend grading 1 test. (division)
D. Mary's bookshelf holds 175 books and the top shelf only holds 5. Therefore, 175 books - 5 books on the top shelf = 170 books on the bottom shelf (unless there are more shelves). (subtraction)
E. 175 days ÷ 5 gallons of paint a day. 175÷5 = 35 gallons of paint used. (division)
Hope this helps!
whats 9x6 i really need help
Answer:
ummmmm so It give me 54
Step-by-step explanation:
[tex]9 \times 6 = 54[/tex]
The correct answer is 54.
9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54.
Therefore, 9 x 6 = 54.
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