If f(x) = -2 and g(x) = 2x² + x-3, find (f +9)(x).
Answer:
(f + g)(x) = 2x² + x - 5
Step-by-step explanation:
Given
[tex]f(x) = -2[/tex]
[tex]g\left(x\right)\:=\:2x^2+\:x-3[/tex]
To determine
(f + 9)(x) = ?
Using the formula
(f + g)(x) = f(x) + g(x)
substituting f(x) = -2 and g(x) = 2x² + x - 3
= -2 + 2x² + x - 3
= 2x² + x - 5
Therefore, we conclude that:
(f + g)(x) = 2x² + x - 5
2x + 8=12 what is the value of 4x + 2
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
A concrete mixing machine weighing 800 pounds needs to be loaded with rocks and sand. Trucks carrying 120 pounds of sand
and 30 pounds of rocks will be used to load the machine. In order for the machine to function properly, the combined weight
of the machine and the mixing load cannot exceed 2,800 pounds.
Which inequality describes the restriction on truck loads, x, to ensure the mixing machine functions properly?
A. 120x+800 > 2,800
B. 150x + 800 > 2 2,800
C. 800x + 150 < 2,800
D. 150x+800 < 2,800
The inequality to ensure the mixing machine functions properly is,
D. 150x + 800 < 2800
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
From the given information and the statement that the combined weight should not exceed 2800 pounds the inequality that represents the number of loads it can take to ensure the mixing machine functions properly is,
150x + 800 < 2800.
learn more about inequalities here :
https://brainly.com/question/28823603
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PLEASE NEED HELP aS FASt
Answer:
The second choice
Step-by-step explanation:
The second choice is correct because:
1.5*4=6
Can someone teach me how to do a step by step explanation answer on brainly please
Answer:
Its very easy, tap on the question ? button for help OwO
Step-by-step explanation:
PLS HELP THANKS!
Which ordered pair is a solution to the system of equations
Answer:
its the bottom one my dude
Answer:
x= ( -1/2,4) which is D
Step-by-step explanation:
Simple math...
HELP ME PLEASEEEEEEEEEEEE NOWWWW ASAPP
5 less than a number is -2. What is the
number? Write on
equation and solve.
Answer:
3 - 5 = -2
Step-by-step explanation:
Cause 3 is lower than 5
And since 5 - 3 = 2
If it's the other way around it's a negative number
Answer:
3
Step-by-step explanation:
Start from 0 and do 3 minus 5 which gets you -2
Helpppppppppppppppppppp
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
if the area of an equilateral triangle is 24 square root 3 metres square then its perimeter is?
Answer:
6√24 or 29.39metres
Step-by-step explanation:
Area of a triangle is bh/2
The perimeter of an equilateral triangle is 3b
This equilateral triangle can be imagined as two adjoining 30-60-90 triangles. Together, their area is the given 24√3 m²
The base of the individual triangle is √24. The height is √24√3. Multiplying those factors, we get the given area, a proof of sorts, but mure importantly, we can calculate the length of the hypotenuse as 2√24.
sin(30°) = 0.5
√24/(0.5) = 2√24
That is the length of the side of the original equilateral triangle.
The perimeter is 3 times the length of the side:
(3)(2√24) = P
6√24 meters is the perimeter.
Find the value of x.
92°
36°
Answer: the answer is 7°
Step-by-step explanation:
The cost of renting a boat is $51 for 4 hours. Which of the following is not an equivalent rate? Give the letter of your answer and justify your answer. Show your work.
A. $76.50 for 6 hours
B. $38.25 for 3 hours
C. $89.25 for 7 hours
D. $63.00 for 5 hours
Answer:
D. $63.00 for 5 hours
Step-by-step explanation:
The actual cost to rent the boat per hour is $12.75 when you multiply all the other hours by 12.75 it equals the correct amount except for (D) 5 ×12.75 = 63.75
HELP !!!! find the measurements of each angle
What is an angle that is adjacent to AEB?
Please help :(
Answer:
Angle DEA
Step-by-step explanation:
It lies in the same line
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Answer:
I do not understand
Step-by-step explanation:
The amount Alex eamed last week can be modeled by the expression 25 + 5n 295, where is the number of items he sold. Which number line shows how many items he could have sold last week?
10 11 12 13 14 15 16 17 18 19 20
10 11 12 13 14 15 16 17 18 19 20
+
19 20 21 22 23 24 25 26 27 28 29
19 20 21 22 23 24 25 26 27 28 29
Answer:
Step-by-step explanation:
Use the graph below to determine the number of solutions the system has.
y = -3 and x = 4
(a) one
(b) two
(c) no solution
(d) infinitely many
PLEASE HELP!!! WILL GIVE POINTS
Answer: 2
Step-by-step explanation: By adding all the desserts together, you get 20, so you then divide that by the number of tables which is 10, therefore getting 2 which is the average/mean
PLease help will mark brainliest !!!!!
Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved
Answer:
1/6 of the tomatoes
Step-by-step explanation:
So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall. That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.
Answer:
2 and 21/32
Step-by-step explanation:
Write 7357 correct to 3 significant figures
Jane drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 9 hours?
Answer:
648 miles
Step-by-step explanation:
864/12=72
72 x 9= 648
plz mark brainliest :)
have a great day!!!
Answer:648
Step-by-step explanation:
Simplify the radical expression below:
Square root of 80
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{80}[/tex]
[tex]\sqrt{16} \sqrt{5}[/tex]
[tex]4\sqrt{5}[/tex]
6) Find the distance between -8 and 10.
) What is an expression that represents the
distance? Complete the expression.
1
-8
10
1
- 10 -8
What is the distance?
?
units
Find the mean and absolute deviation of 8,9,7,3,5
Answer:
6.4 and 1.92
Step-by-step explanation:
mean is 6.4 and absolute deviation is 1.92
Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?
Answer:
$21.15
Step-by-step explanation:
6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90
15/5 = 3 then 3 x 4.75= 14.25
14.25 + 6.90 = 21.15
Hope this helped <3
Answer:
$21.15
Step-by-step explanation:
Total Folder Amount: $1.15 • 6 = $6.90
Total Pen Amount: $4.75 • 3* = $14.25
*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*
$14.25 + $6.90 = $21.15
The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at the school?
Answer: 37 times 3 is 111. So there are 111 junior at that school.
1/3 times the # = the answer.
Eric is a statistician-Viking. He walks into a tavern and makes three statements about the continuity correction. Which are true?
I. You can find single probabilities (such as x - 4) using the normal approximation to the binomial. Do this by finding the probability for the range from.5 below to .5 above the number. (For x 4 you'd find 3.5x 4.5.)
Il. Using the normal approximation, x 4 is the same as x4. Using the exact binomial, x <4 is not the same as x - 4
IlI. The continuity correction removes some of the error introduced when modeling a discrete distribution with a continuous one. The correction increases accuracy by acting as though a number occupies the interval from.5 below it to.5 above it.
A. I only
B. Il only
C. Ill ony
D. I and lll
E. I, I, and III
Answer:
E. I, II and III
Step-by-step explanation:
Continuity correction is a theory in which addition or subtraction is made with the discrete variables. Continuity variable helps to find the single probabilities of the function and it removes some errors that are found in the modelling of discrete distribution.
Simplify QP
R ( 0 , a )
S ( b , c )
Q ( 0 , -a )
P ( b , -c )
Answer:
b² + ( -c + a ) ²
Step-by-step explanation: