Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1Suppose you invest money in two accounts. One of the accounts pays 4% interest annually, and
the other account pays 5% interest annually. You have $ 2000 more invested in the account paying
4% than in the account paying 5%. How much do you have invested in the account paying 4% if
you earn $ 670 interest in a year?
Answer:
$16,750
Step-by-step explanation:
It took a lot of plugging in and guessing
The formula used was 16750(1+.04)^1
That equaled 17420
17420-16750 is 670
Hope this helps
Choose the <,>,= symbols to answer the question
Answer:
1. >
2,<
3.<
4.>
5,>
6.<
7.>
8.>
Step-by-step explanation:
Como leer el decimal 0.000000215
Answer:
cero con doscientas quince mil millonésimas
Step-by-step explanation:
What's the constants of 5x + 4 + 7x
the constant / the answer is 4
Answer:
4
Step-by-step explanation:
the constant is a number that never changes
Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =
Plz help
Answer:27/41+3/41i
Step-by-step explanation:
Just finished this problem
Answer:
guy above correct via A P E X
Step-by-step explanation:
A group of preschoolers has 8 boys and 24 girls, what is the ratio of boys to girls?
Answer:
1/3
Step-by-step explanation:
8
24
=
1
×
8
3
×
8
A honeybee hive may contain up to 4.0x10^4 honeybees. What is the number of honeybees in a beehive in standard form
Answer:
40000
Step-by-step explanation:
Given that,
A honeybee hive may contain up to [tex]4\times 10^4[/tex] honeybees.
We need to find the number of honeybees in a beehive in standard form.
We know that,
10⁴ = 10000
So,
4 × 10⁴ = 4 × 10000
= 40000
So, there are 40000 honeybees in a beehive.
A publisher sells
[tex] {10}^{6} [/tex]
copies of a new science fiction book and
[tex] {10}^{3} [/tex]
copies of a new mystery book. How many times as many science fiction books were sold than mystery books?
_ books
A city has a population of 2,549,786 people. Written as the product of a single digit and a power of ten, this number is 3 x 10 to what power? *
Answer:
3 x 10^6
Step-by-step explanation:
Answer:
3 x 10^6
Step-by-step explanation:
What is x(3-2)(2-5)=3
Answer: 1
x(3−2)(2−5)=3
Step 1: Simplify both sides of the equation.
−3x=3
Step 2: Divide both sides by -3.
x=1
Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.
How many square inches of dough are left to make the donut after the hole has been removed?
Answer:
2 inches would be left
Step-by-step explanation:
What is the area of the polygon below?
Answer:
65 units²Step-by-step explanation:
The polygon is the combination of two rectangles.
Sides of the greater rectangle:
3 - (-8) = 11 and-2 - (-7) = 5Sides of the smaller rectangle:
0 - (-5) = 5 and-7 - (-9) = 2Area of the polygon:
11*5 + 5*2 = 65 units²Tell whether xy = 8 shows direct variation, inverse variation, or neither.
Answer:
inverse
Step-by-step explanation:
y = k/x indicates inverse variation, which is the same as xy = k
in this particular problem, k = 8
The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.
The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.
Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]
[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]
x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.
Change this fraction into a decimal: 20/25
.8
.08
.008
.0008
Answer:
0.8
Step-by-step explanation:
20/25=80/100=0.8
You throw two dice. What is the probability of rolling a sum of 6 given that you rolled a sum that is greater than 4?Ill give BRAINLEST to best answer with explanation
Answer:
8/12
Step-by-step explanation:
if you have 2 dice and roll them t the same time you have 11 possible outcomes. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. If you roll something higher then a 4 then you get left with 5, 6, 7, 8, 9, 10, 11, 12. If you count them there is 8 different outcomes you can get out of the 2 dice since the highest you can roll is a 12.
What is the solution for x in the equation? 10x-4.5+3x=12x-1.1
Answer:
[tex] putting \: the \: like \: terms \: together\\ 10x + 3x - 12x = 4.5 - 1.1 \\ x \: = 3.4[/tex]
please help! i'll give brainliest! no one would help me PLEASE.
Answer:
m∠ABC = 42°
Step-by-step explanation:
5x + 13 + 3x + 33 = 70
8x + 46 = 70
8x = 24
x = 3
m∠ABC = 3(3) + 33 = 42
..
A cone has a height of 4 inches and a
circumference at the base of 121 inches.
What is the approximate volume of the cone?
Answer:
Approximately 1553.83
The sum of brian's and rihanna's ages is 41. The difference between two times brian's age and rihanna's age is 13. How old is rhianna
Answer: 13?
Step-by-step explanation:
I need help under standing
Plz help my with this!
Answer:
D. 22.8 unitsStep-by-step explanation:
As per the graph we have:
MN = 4NP = 9MP is a hypotenuse and MP > NPApproximate perimeter of MNP is:
P > 4 + 9 + 9 = 22P > 22Option D is the only one greater than 22
A 7-meter by 7-meter square is reduced so that each side is half as long as the original.
a. Describe the new square. (Side length)
b. Write the ratio of the perimeters in the order New:Original.
c. Write the ratio of the areas in the order New:Original.
Answer:
Step-by-step explanation:
7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?
Answer:
24 girls
Step-by-step explanation:
24:12
2:1
Elijah is going to invest in an account paying an interest rate of 5.5% compounded
continuously. How much would Elijah need to invest, to the nearest hundred dollars,
for the value of the account to reach $1,400 in 16 years?
Answer
she will need to invest 77 dllors
Step-by-step explanation:
What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
helppppppppppppppppp
Answer:
This looks hard.
Step-by-step explanation:
I know because it is very hard.
Guys pls help me!!!!!!
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you
Which function g(x) or f(x) has the equation y=x^2-4
Answer:
f x
Step-by-step explanation:
the equqtion's y intercept is -4 , and f (x) has that intercept
Answer:
f(x)
Step-by-step explanation:
The equation says -4 meaning that it moved down 4 spaces on the y-axis.
help quickly please!
Which equation is equivalent to 231 = 10?
Answer:
4.) log2(10)=3x
Step-by-step explanation:
I think it's correct
