Given:
The two functions are
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
To find:
The function (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the values of given functions, we get
[tex](f+g)(x)=3x+1+x^2-6[/tex]
[tex](f+g)(x)=x^2+3x+(1-6)[/tex]
[tex](f+g)(x)=x^2+3x-5[/tex]
Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].
Ella went to Crafting World Plus to buy fabric. She is trying to decide between polka-dot
fabric and striped fabric. It costs $15 to buy 4 yards of the polka-dot fabric.
)) This equation describes the cost of the striped fabric, where y represents the cost in
dollars and x represents the amount of fabric in yards:
y = 2.55x
)) Which type of fabric is cheaper?
the striped fabric
the polka-dot fabric
)) How much cheaper is that fabric?
cheaper per yard
PLEASE PLEASE PLEASEEE HELP ME
Jamal needs to purchase a countertop for his kitchen. Jamal measured the countertop as 5 ft. The actual measurement is 4.5 ft. What is Jamal’s percent error?
A) 5%
B) 11%
C) 45%
D) 50%
Answer:
percent error is 11.1% (which agrees with answer B)
Step-by-step explanation:
The discrepancy (difference) between the measurement and the real length was: 5 - 4.5 = 0.5 ft
Then the percent difference is calculated as:
(difference / real value) * 100 = ( 0.5 / 4.5ft ) * 100 = 11.1%
Amanda is a sunflower farmer. Her farm is in the shape of a parallelogram with a height measuring 13 kilometers and a base measuring 12 kilometers. What is the total land area Amanda uses?
Answer:
156
Step-by-step explanation:
To find the area of a rectangle you have to to base x height. Its the same with parrallograms becase most of them look like the attached image. If you simply take one of the triangles off one side and put it on the other it becomes a rectangle. This was the formula A= bh still works.
$5,200 at 4% for 3 years. $_
Answer:
$5,824
Step-by-step explanation:
5,200*.04=208
208*3=624
5,200+624=5,824
Please help my head hurts
Background assumptions concerning Texas license plates:
• License plates have 7 characters __ __ __ __ - __ __ __
• The first 4 characters have to be letters
• The last 3 characters have to be numbers
• The last number cannot be a 9 or 1
• The first and second letter cannot be a vowel (multiple correct answers)
Answer:
jhtr638
Step-by-step explanation:
jhtr638
chose 4 random letters
then chose 3 random numbers
made sure no vowels or 9 and 1
I NEED HELP ASAP PLEASE SOLVE FOR X
Solve 2x + 5 = 12 please help
Answer:
first method
subtract 5 from both side
2x + 5 -5 = 12 - 5
:. 2x = 7
:. X= 2
7
divide 2 from both side
X= 2x 7
2 2
:. X= 3.5
second method
2x = 12 - 5
2x = 7
X= 2 ÷ 7
:. X= 3.5
suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel after 1.5 * 10^3 seconds
Answer:
The object travels 144,000,000 feet.
Step-by-step explanation:
The distance the object travel after t seconds is given by:
[tex]d(t) = 64t^2[/tex]
How far would the object travel after 1.5 * 10^3 seconds
This is d when [tex]t = 1.5 \times 10^3 = 1500[/tex], so [tex]d(1500)[/tex]
[tex]d(1500) = 64*1500^2 = 144000000[/tex]
The object travels 144,000,000 feet.
A recipe calls for one cup of flour to make six pancakes. How many pancakes can be made with ten cups of flour?
Answer:
60 Pancakes can be made with 10 cups of flour
Step-by-step explanation:
10x6=60
One cup of flour = 6 Pancakes
One cup of flour1 *10=6*10 pancakes
10 cups of flour=60 pancakes
Maya says there are 4 hundreds in 5,467. Jenny says there are 54 hundreds in 5,467. their teacher say's they're both right. How can that be so?
Answer: See explanation
Step-by-step explanation:
They are truly both right.
Maya says there are 4 hundreds in 5,467. This is right because the place value of 4 in 5467 is 4 hundreds = 400.
Jenny says there are 54 hundreds in 5,467. This is also correct as well. The number 5467 in words is five thousand four hundred and sixty seven. 54 hundreds equals = 54 × 100 = 5400
The place value of 5 is 5000.
The place value of 4 is 400
Addition of both gives = 5000 + 400 = 5400
If we divide 5400 by 100, we would have 54. It shows that there are 54 hundreds.
Both are correct
Choose the two rectangles with an area of 36 square feet.
10 ft
8 ft
D.
A
8 ft
4 ft
9 ft
9 ft
B.
E.
4 ft
9 ft
6 ft
C.
6 ft
Which statement best describes the electric field around a positive charge?
A. Pairs of parallel lines with arrows that point inward extend from
the charge
B. Pairs of perpendicular lines with arrows that point outward extend
from the charge
C. Lines with arrows that point outward radiate from the charge in all
directions.
D. Lines with arrows that point inward radiate from the charge in all
directions
Answer:
C. Lines with arrows that point outward radiate from the charge in all
directions.
The statement which best describes the electric field around a positive charge is Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
The four options
Now,
This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.
Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Lucy has a homework assignment and she must solve the equation
-7x + 2 = 51.
Answer:
x = -7
Step-by-step explanation:
-7x + 2 = 51
-7x = 51 - 2
-7x = 49
x = -7
Insta: 25k_kemCan someone answer this for me
Answer: x=2.5
y=-1.75
Step-by-step explanation:
x-2y=6
x=6+2y
3(6+2y)+2y=4
18+6y+2y=4
8y=-14
y=-1.75
x=6+(-1.75)(2)
x=2.5
For x2=−5, choose the correct substitution for a, b, and c in the general form of ax2+bx+c=0.
a=1, b=0, c=−5
a=1, b=1, c=5
a=1, b=0, c=5
a=1, b=5, c=0
Answer:
the fourth one
Step-by-step explanation:
Answer: a=1,b=0, c=5
Step-by-step explanation: took the test the is the right answer
what is the sum of one and the product of one and a number
Answer:
the answer for this problem is 1 +×
Step-by-step explanation:
you must frame the equation with a number x
after that you have to translate the x into the equation and it can be written as
1×(1× ×)=1+×
helo wat is 9 plus tin plez help also you mom old like prehistoric dinosaur
Answer:
9 plus ten is 19
Step-by-step explanation:
Answer: 21
Step-by-step explanation:
Actually its 19 but with extreme measures its 21
1. JP Construction is building a rectangular children's wading pool for the local community center. The pool will be 4.5 meters wide. To meet city building code guidelines, the area of the pool must not be larger than 8 square meters. Which inequality represents the possible lengths of the wading pool, where x represents the length of the wading pool in meters?
Answer:
[tex]x\leq 1.78[/tex]
Step-by-step explanation:
We are given that
Width of pool, b=4.5 m
We have to find the inequality which represents the possible lengths of the wading pool.
Let x be the length of wading pool
We know that
Area of rectangle=[tex]length\times breadth[/tex]
According to question
Using the formula
[tex]4.5x\leq 8[/tex]
Divide by 4.5 on both sides we get
[tex]x\leq\frac{8}{4.5}[/tex]
[tex]x\leq 1.78[/tex]
1. A right triangular prism that is 12 inches long, 3 inches
wide, and 4 inches tall is represented by the figure
below. What is the volume of the prism, in cubic inches?
How does the graph change between point A and point B?
On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B.
A. The graph increases.
B. The graph decreases.
C. The graph remains constant.
D. The graph increases, then decreases.
Answer:
the answer is b well i dont know i cant see any thing
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
10 over=5
i asked this quetion
Answer:50
Step-by-step explanation:
What is Y= -3/10x-8 written in standard form?
What are the terms to this polynomial: 4x2 + 9x - 1/2
Answer:
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Step-by-step explanation:
Raj and Carlos are reading. Carlos reads a chapter in 4 minutes, which is 3 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
7
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
4+3=7
Find 25% of 80 kg A 40kg B 10kg C 8kg D 20kg help me plss
Answer:
25% of 80 is D. 20kg
Step-by-step explanation:
50% of 80 is 40 and we know that 25% is half of 50%, so half of 40 would be 20.
So, the answer is D. 20kg
Hope this helps! :)
What is the equivalent expression for 80+20n?
Answer:
100N
Step-by-step explanation:
BC 80+20=100. THEN ADD THE N AND YOU GET 100N
42+30=[BLANK](7+5)
20 POINTS!!
Answer:
42+30=72
7+5=12
72-12=60
Blank=60
Step-by-step explanation:
Plz someone simplify for me and do it step by step
Answer:
[tex] \huge \red{ \bold{ \boxed{ \blue{ \boxed {{k}^{2} - 7k - 9 + \frac{ 9}{k + 3} }}}}}[/tex]
can someone please help meeee ?
On weekday mornings, it takes Leo 12 minutes to bike 2 miles to his school. This Saturday, Leo will bike to the park to meet his friends. The park is 5 miles away from Leo's house.
Answer:
30 minutes to the park
Step-by-step explanation:
12/2 = 6 min per mile
6 x 5 = 30 mins for 5 miles