Answers
-7
Explanation:
(-3)^2- (-4)^2 =
= 9 - 16 = -7
Related Questions
If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1?
A) -2
B) -1
C) 1
D) 5
Answers
Answer:
B) -1Step-by-step explanation:
[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]
METHOD 1[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]
METHOD 2[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]
12). Omar has $8,274 in a savings account that earns 10.5% interest, compounded annually. To the nearest cent, how much will he have in 2 years? * O A). $1,737.54 O B). $1,828.76 C). $10,011.54 OD). $10,102.76
Answers
Answer:
.
Step-by-step explanation:
Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.
a) Write a linear equation to describe the total cost of renting the boat.
b) What is the cost of renting the boat for 5 hours?
Answers
i need points pleaseeeeeeeeee
Answer:
a) y=8x+12
b) $52
Step-by-step explanation:
for a)
the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.
for b)
in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:
y=8x+12
y=8(5)+12
y=40+12
y=52
sam's mother is twice as old as sam. in 12 years sam will be as old as his mother was 12 years ago, how old is sam and his mother now PLZ HELP NOW
Answers
Answer:
Sam will be 24 and his mom U can figure that out
Step-by-step explanation:
Math
Answer:
24
Step-by-step explanation:
`12
The store is selling lemons at $0.46 each. Each lemon yields about 2 tablespoons ofjuice. How much
will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of
lemon juice?
Answers
Answer:
12 lemons, $5.52
Step-by-step explanation:
A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?
Answers
6% = .06
“of” = multiply
so 6% of 9000 can be written as .06 x 9000 , which is 540
The commission (in dollars) did he earn last month is 540$.
We have given
A salesman earns 6% commission on all the merchandise that he sells.
Last month he sold $9000 worth of merchandise.
Salesman earns 6% =6/100=0 .06
What is the meaning of commission?
Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.
So we have to determine 6% of 9000
We can be written as
=0.06 x 9000,
= 540$
The commission (in dollars) did he earn last month is 540$.
To learn more about the commission visit:
https://brainly.com/question/24951536
What is 5(4+6) x 6 =?
Answers
Answer:
300
Step-by-step explanation:
5(4+6)x6=
V
5(10)x6=
V
50x6=
V
300
I hope you understand :)
can anyone help me get the surface area of
2cm
5cm
8cm
Answers
Answer:
according to your question 2cm is length of the rectangle and 5cm width and 8cm height.
so the surface area of rectangle=2(lb+bh+hl)
surface area=2(2×5+5×8+8×2)
SA=2(66)
SA=132cm²
if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.
7. Which of the following expressions contains like terms?
5xy - 13y
5x - 13xy
5xy - 13x
5xy - 13xy
Answers
Answer:
The last one
Step-by-step explanation:
Due to there being xy's in both terms
What is the solution to f(x)=g(x) ?
Answers
x=1
Hope this helps!
Solve the system of equations
y equals 5 x plus 4
y equals 7 x plus 6
Answers
Answer:
x = -1 , y = -1
Step-by-step explanation:
We have system of equations and are asked to solve them.
We are looking for x and y, since both equations start with y, we can plug one to the other.
y = 5x + 4
y = 7x + 6
5x + 4 = 7x + 6
Now isolate x byitself to get x :
5x + 4 = 7x + 6
Subtract 4 from both sides :
5x = 7x + 2
Subtract 7x from both sides :
-2x = 2
Divide -2 by both sides :
x = -1
Now that we know what x is, we can substitute it into the equations seapraretly.
y = 5(-1) + 4
y = 7(-1) + 4
y = -5 + 4
y = -7 + 6
-5 + 4
-1
-7 + 6
-1
Therefore, both x and y equal -1
Step-by-step explanation:
5x4=20
7×6=42[tex]5 \times 4 = 20[/tex]
Solve 3 - x=-9
a. x=16
b.x=12
c.x=-6
d.x=12
Answers
Answer:
3 - x =-9
3+ 9 =x
x = 12
so, correct answer
x =12
PLEASE HELP GEOMETRY
Answers
Answer:
Step-by-step explanation:
[tex]\frac{6}{18+6}= \frac{x}{8 }[/tex]
24x=48
x=2
An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find the speed of the jet with no wind.
Answers
Answer:
The speed of the jet with no wind is 240 miles per hour.
Step-by-step explanation:
The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:
In favor of wind
[tex]\frac{s}{t_{F}} = v_{W}+v_{J/W}[/tex] (1)
Against wind
[tex]-\frac{s}{t_{A}} = v_{W} -v_{J/W}[/tex] (2)
Where:
[tex]s[/tex] - Travelled distance, measured in miles.
[tex]t_{F}[/tex], [tex]t_{A}[/tex] - Time, measured in hours.
[tex]v_{W}[/tex] - Wind speed, measured in miles per hour.
[tex]v_{J/W}[/tex] - Jet speed relative to wind, measured in miles per hour.
If we know that [tex]t_{F} = 5\,h[/tex], [tex]t_{A} = 7\,h[/tex], [tex]v_{W} = 40\,\frac{mi}{h}[/tex], then the speed of the jet with no wind is:
[tex]\frac{s}{5} = 40 + v_{J/W}[/tex] (3)
[tex]-\frac{s}{7} = 40-v_{J/W}[/tex] (4)
[tex]\frac{s}{5}-40 = 40 +\frac{s}{7}[/tex]
[tex]\frac{s}{5}-\frac{s}{7} = 80[/tex]
[tex]\frac{7\cdot s - 5\cdot s}{35} = 80[/tex]
[tex]2\cdot s = 2800[/tex]
[tex]s = 1400\,mi[/tex]
From (3), we find that speed of the jet with no wind is:
[tex]v_{J/W} = \frac{s}{5}-40[/tex]
[tex]v_{J/W} = \frac{1400}{5}-40[/tex]
[tex]v_{J/W} = 240\,\frac{mi}{h}[/tex]
The speed of the jet with no wind is 240 miles per hour.
The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function
Answers
Answer:
[tex]y = 1125x+30000[/tex] --- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990
[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006
Solving (a): Express as a function.
First, we calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{48000-30000}{16-0}[/tex]
[tex]m = \frac{18000}{16}[/tex]
[tex]m = 1125[/tex]
The equation is then calculated as:
[tex]y = m(x-x_1)+y_1[/tex]
This gives:
[tex]y = 1125(x-0)+30000[/tex]
Open bracket
[tex]y = 1125x-0+30000[/tex]
[tex]y = 1125x+30000[/tex]
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in [tex]y = 1125x+30000[/tex]
[tex]y = 1125*40 +30000[/tex]
[tex]y = 45000 +30000[/tex]
[tex]y = 75000[/tex]
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
The equations of four lines are given. Identify which lines are parallel. Line 1: y=1/2x-6. Line 2: x-2y=-1. Line 3: y=4x+6. Line 4: y+3=1/4(x-6)
Answers
Answer:
Lines 1 and 2 are parallel because they have the same slope
Step-by-step explanation:
slope of line 1 = 1/2
slope of line 2 = 1/2
slope of line 3 = 4
slope of line 4 = 14
how to find slope of line 2, solve for 'y':
x - 2y = -1
-2y = x - 1
y = 1/2x + 2
how to find slope of line 4, simplify for 'y':
y + 3 = 1/4x - 1/4(6)
y = 1/4x - 6/4 - 3
y = 1/4x -6/4 - 12/4
y = 1/4x - 18/4
PLEASE PLEASE HELP ASAP 30 POINTS AND WILL GIVE BRAINIEST
what is the measure of angle ABC
What is the measure of angle CBE
what is the measure of angle DBE
What is the measure of angle ABD
Answers
Answer:
hope this is what u want
and don't mind my handwriting I wrote it as fast as I could
PLS, I NEED HELP! Translate this sentence into a compound inequality with math symbols.
Springfield’s monthly temperatures range from a high of 101o F to a low of – 8o F.
Answers
Answer:
8o F at least I'm pretty sure 101o F ≥ 8o
Step-by-step explanation:
Correct me If im wrong
Suppose that 8% of all cars produced at Plant A have a certain defect, and 5\% of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A - B) between the proportions of cars with the defect in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answers
Answer:
The answer is "Choice d"
Step-by-step explanation:
Please find the complete question in the attached file.
Faulty factory cars in a plant [tex]A = 8\% \ of\ 150 \ = 12 > 10[/tex]
Faulty factory cars in a plant [tex]B = 5\% \ of \ 150 = 7.5 < 10[/tex]
This condition of the normal distribution is not met so because the number of negative cars from plant B is less than 10, that's why the choice d is correct.
Answer: D
Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]
Step-by-step explanation: Khan Answer
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answers
Answer:
∠U = 26°
∠V = 35°
∠W = 119°
Step-by-step explanation:
Given:
∠U = (x+9)°
∠V = (2x+1)°
∠W = (7x)°
Find:
Value of each angle
Computation:
Using angle sum property
∠U + ∠V + ∠W = 180°
(x+9)° + (2x+1)° + (7x)° = 180°
10x + 10 = 180
x = 17
So,
∠U = (x+9)° = 17 + 9 = 26°
∠V = (2x+1)° = 34 + 1 = 35°
∠W = (7x)° = 7 x 17 = 119°
Calculate and give your answer
its simplest form.
8 /7
X
7/8
Your answer
Answers
Answer:
1 I believe if your asking in in simplified form and if 8/7 and 7/8 are multiplied
Step-by-step explanation:
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Answers
Answer:
Hanna is 8 years old.
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = 8.
Hanna is 8 years old.
Write a plan to prove that angle 1 is congruent to angle 2
Answers
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
Help ME and plzz show your work thank you love
Answers
We now have a systems of equations to solve for a variable using elimination
2(d+c=24)
1(2d+4c=66)
2d+2c=24
2d+4c=66
-2c=-18
c=9
Now that we have the number of cows, we can easily find the number of ducks by plugging in 9 to the equation c+d=24
9+d=24
d=15
There are 9 cows and 15 ducks.
PLEASE HELP MATH MIDTERM
Steven bought a cylindrical water tank for his cattle, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for the tank to safely sit on. The seller told him the Volume and the height. Help Steven by calculating the diameter of the tank using the information below.
The volume of the tank is 572π 3 and its height is 9ft
Answers
Answer:
Step-by-step explanation:
h and r are the height and radius of the tank, respectively.
volume = πr²h
πr²·9 = 572π
r = √(572π/(9π)) = √(572/9)
diameter = 2r ≅ 15.9 ft
The area of a rectangular garden is 120 square meters. The width is 4 meters longer than one-half of the length. Find the
length and the width of the garden. Use the formula, area = length • width.
Answers
Answer:
Step-by-step explanation:
“The area of a rectangular garden is 120 square meters.”
LW = 120
“The width is 4 meters longer than one-half of the length.”
W = 0.5L + 4
L = 2W-8
Substitution
(2W-8)W = 120
2W^2-8W-120 = 0
W^2 -4W-60 = 0
W = 10, -6
-6 is an extraneous solution.
W = 10 meters
L = 2W-8 = 12 meters
If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.
Answers
Answer:
right
Step-by-step explanation:
Answer:
Isoceles
Step-by-step explanation:
An isoceles triangle has 2 congruent sides.
4)
Which expression is equivalent to 3x + x + y?
A)
4xy
B)
5xy
0
3 + xy
Highlight
D)
4x + y
Time
Remaining
Answers
Answer:
D.) 4x + y
Step-by-step explanation:
3x + x + y
Add 3 x and x .
4 x + y
A solution consisting of 95 mg of dopamine in 95 mL of solution is administered at a rate of 30 ml/hr. Complete parts (a) and (b) below.
a. What is the flow rate in mg of dopamine per hour?
mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
Answers
Answer:
30 mg
Step-by-step explanation:
Flow rate of dopamine per hour:
Flow rate of dopamine per hour = (95g)*(30ml/hr) / 95ml
Flow rate of dopamine per hour = 30mg
Please help me
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern?
Answers
Answer:
24 Blocks
Step-by-step explanation:
Hope this helps
Answer:
24 blocks
Step-by-step explanation:
Hope this helped