Answer:
7) (f+g)(x) = 4^x +5x -5
8) (f-g)(x) = 4^x +x +5
Step-by-step explanation:
7) add the two expressions.
(f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)
(f+g)(x) = 4^x +5x -5
__
8) subtract g(x) from f(x).
(f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5
(f-g)(x) = 4^x +x +5
A bag with 2 ½ ounces of peanuts can make ⅔ of a jar of peanut butter.
How many ounces of peanuts will it take for there to be one jar of peanut butter?
Given :
A bag with 2 ½ ounces of peanuts can make ⅔ of a jar of peanut butter.
To Find :
How many ounces of peanuts will it take for there to be one jar of peanut butter.
Solution :
[tex]2\dfrac{1}{2}\ ounces = \dfrac{2}{3}\ jar\\\\\dfrac{5}{2}\ ounces = \dfrac{2}{3}\ jar\\\\1= \dfrac{15}{4}\ \dfrac{ounces}{jar}[/tex]
Now,
1 jar of peanut butter is made by :
[tex]1\times jar \times \dfrac{15}{4} \dfrac{ounces}{jar}\\\\\dfrac{15}{4}\ ounces[/tex]
Hence, this is the required solution.
Which value must be added to the expressionx2+16x to make it a perfect-square trinomial?
Answer:
Step-by-step explanation:
Please write x^2+16x or x²+16x to indicate the exponentiation.
To rewrite x²+16x as a perfect square trinomial:
1) Take half of the coefficient of x, that is, half of 16, which is 8
2) Square this result: 8² or 64
3) Starting with x²+16x again, add 64 and then subtract 64 to get a trinomial expression equivalent to x²+16x:
x²+16x + 64 - 64
4) Rewrite the first three terms as the square of the binomial x + 8:
(x + 8)² - 64
Here (x + 8)² is a perfect square trinomial.
Answer:
The answer is C.) 64 on edge.
Can someone help me with 5 and 6 please
Answer:
5. x+4=86
6. An equation can be used to predict values from a pattern by merely substituting any value to determine the equivalent value. An example is the geometric series which has a standard equation of an = a1 * r^(n-1) and is used to predict the nth term of the series
Step-by-step explanation:
Tisha orders a carpet for a room that measures 270 square feet. The salesman says the carpet costs $12.00 per square yard. He explains that since there are 3 square feet for every square yard, tisha needs 90 square yards of carpeting, which cost $1,080. What error did the salesman make? What should be the actual cost of the carpet?
Answer:
What error did the salesman make?
The salesman made an error when convert 270 square feet to yards.
What should be the actual cost of the carpet?
The actual cost of the carpet is $360
Step-by-step explanation:
From the question, we are told that:Tisha orders a carpet for a room that measures 270 square feet.
This means the room needs 270 square feet of carpet
But from the question, we know that the carpet is sold in square yards
We convert square feet to square yards
For our conversion rates
3 ft = 1 yard
9 ft² = 1 square yards(yd²)
270 ft² = x
Cross Multiply
9 ft² × x = 270ft² × 1 yd²
x yd²= 270ft² × 1 yd²/9 ft²
x = 30 yd²
Hence, 270ft² = 30yd²
Cost of carpet =
1 yd² = $12.00
30 yd² =
Cross Multiply
= 30 × $12.00
= $360.00
The actual cost of the carpet is $360
What error did the salesman make?
The salesman made an error when convert 270 square feet to square yards.
He said 270 square feet = 90 square yards
But he was wrong.
270 square feet = 30 square yards.
What should be the actual cost of the carpet?
The actual cost of the carpet is $360
Answer:360 for the actual cost
Step-by-step explanation:
James decides to invest money in Wal-Mart. As a shareholder, he has the advantage of
(select all that apply)
A. limited liability
B. limited life
C. unlimited liability
D. double taxation
E. ease of start up
Answer:
A. limited liability
Step-by-step explanation:
Because James has become a shareholder by investing in Walmart, he has the advantage of limited liability. This basically means that he shares in both the gains and the losses of Walmart's business decisions but only up to the amount that he has invested into it. Meaning that if James invested a total of $2000 and Walmart goes under, then he will lose all $2000 but not more than that.
A gym offers kickboxing classes 22 of the 30 days in October. What decimal is equivalent to the fraction of days in October that classes were offered at the gym?
A LOT OF POINTS!!
find the value of x for each figure. each figure is in centimeters(cm)
please answer this i have been giving away points but nobody answers :(
Answer:
10
x*(6/10)=6/70
x=6/70*10/6
x=1/7
11
x*2/8=6/32
x=6/32*8/2
x=3/4
12
x*1/5=1/15
x=1/15*5=1/3
13
x*1/7=1/14
x=1/14*7=1/2
14
x*1/2=1/4
x=1/4*2=1/2
15
x*2/5=14/45
x=14/45*5/2
x=7/9
1/3 - 2/9 find the solution
Answer:
1/9
Step-by-step explanation:
1/3 - 2/9
Get a common denominator of 9
1/3 *3/3 = 3/9
3/9 - 2/9
1/9
What is the slope of this line??
i need help with 1/2x+13=9
im in the 8th grade btw
Answer:
-8
Step-by-step explanation:
You are wanting to solve for x
First you want to subtract 13 on both sides-
1/2x = -4
Now you want to divide on both sides-
x = -8
Answer:
1/-8
To find:
x
Step-by-step explanation:
1/2x+13=9
take 13 to the LHS. when you take 13 to the LHS it becomes negative
1/2x=9-13
1/2x=-4
by cross multiplying,
2x × -4=1
-8x=1
x=1/-8
hope it helps you!!
Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answer:
is it s/12
Step-by-step explanation:
What is the volume of the toy car that has a density of 3 g/mL and a mass of 75 g.
Answer:
25 mL
Step-by-step explanation:
m/D=V
75g/3 g/mL = V
25mL =V
The radius of a circle is 8 meters. What is the diameter?
Answer:
16 meters
Step-by-step explanation:
r=8m
8*2=16
d=16m
Answer:
16
Step-by-step explanation:
The diameter is the radius times 2.
need help really bad please
Problem 1
Answer: Choice B) angle1 = 26, angle2 = 64----------
Explanation:
Complementary angles add to 90
(angle1)+(angle2) = 90
(5x+6)+(68-x) = 90
4x+74 = 90
4x = 90-74
4x = 16
x = 16/4
x = 4
So,
angle1 = 5x+6 = 5(4)+6 = 26
angle2 = 68-x = 68-4 = 64
Note how
angle1+angle2 = 26+64 = 90
to help check our answer
==========================================
Problem 2
Answer: Choice D) BC, AC, AB----------
Explanation:
The shortest side of a triangle is always opposite the smallest angle.
The longest side of a triangle is always opposite the largest angle.
Based on those two facts, we can say the shortest side is BC (since angle A = 53 is the smallest angle) and the longest side is AB (since angle C = 70 is the largest)
The order from smallest to largest is
BC, AC, AB
==========================================
Problem 3
Answer: Choice D) B < C < A----------
Explanation:
Use the reverse of the idea from problem 2. We know that AC is the smallest side which must mean that angle B is the smallest angle. Since BC is the largest side, angle A must be the largest angle.
The order of the angles is B < C < A
==========================================
Problem 4
Answer: Choice A) angle 5 = 50, angle 8 = 130----------
Explanation:
The same side exterior angles must be supplementary to have parallel lines.
==========================================
Problem 5
Answer: Choice A) angle G is the smallest----------
Explanation:
Use the same idea as problem 2. The smallest angle is opposite the smallest side. The smallest side is 48, so angle G being opposite of that side, is the smallest angle.
Angle O would be the largest as it is opposite the largest side DG = 70
Write an equation in slope-intercept form of the line that passes through (6,-1) and (3,-7). Please help!
Answer:
y = 2x – 13
Step-by-step explanation:
Use Slope formula to get the slope
(y2-y1) / (x2-x1)
(-7--1) / (3-6)
(-6)/(-3)
2
Then plug-in the value of slope and any one coordinate in Point-Slope formula:
y- y1= m(x-x1)
y - -1 = 2( x - 6)
y + 1 = 2x - 12
y = 2x - 13
The equation of the line in the slope-intercept form will be y = 2x – 13.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (-7-(-1)) / (3-6)
Slope = (-6)/(-3)
Slope = 2
Then plug in the value of slope and any one coordinate in the Point-Slope formula:
y- y₁= m(x-x₁)
y - (-1) = 2( x - 6)
y + 1 = 2x - 12
y = 2x - 13
Therefore, the equation of the line in the slope-intercept form will be y = 2x – 13.
To know more about an equation of the line follow
brainly.com/question/18831322
#SPJ2
3. Three meals per day are provided by the hotel. The hotel will charge a total of $9,240 for all meals for the entire group. What is the cost of meals for each person?
Answer:
1 meal = $3.080
HELP ASAP . You the real one if you do.
Answer:
x=1
Step-by-step explanation:
hope this helps and hope its correct
Solve for the indicated variable.
2a + 2b = c for b
B = ?/?
Answer:
b = c − 2a
------------
2
Step-by-step explanation:
2a + 2b = c
2b = c − 2a
b = c − 2a
------------
2
multiply this. 5 • (-3)
The legs of a right triangle are 10 cm and 24 cm long what is the length of the hypotenuse
Answer:
26
Step-by-step explanation:
the formula for this is A squared plus B squared equals C squared
Answer:
26
Step-by-step explanation:
10(10)+(24)(24)
100+576
676
out of the square root
it is 26
How can you use Recipes B and D to create recipe E?
Fill in the blank.
1.) ____ the corresponding quantities of Recipe B 2.)____ Recipe D to create Recipe E.
Options for 1.)
- Add
- Subtract
- Multiply
- Divide
Options for 2.)
- and
- from
- times
- by
To rent a Bird scooter you must pay $1 to start and then $0.50 for every 15 minutes you ride. Is the cost proportional to the amount of time you ride?
Step-by-step explanation:
if you rent a scooter for 15 minutes you pay $1.50 ($1 to start and $0.50 rental) and if you rent it for 30 minutes then you pay $2.00 ($1 to start and $1 rental). This is NOT proportional because $1.50/15-mins and $2.00/30-min are NOT equivalent ratios
Is 2x+y=4 linear? If it is what is the slope and y intercept?
Answer: Yes, it is linear. The slope is -2
Step-by-step explanation:
move the 2x over to the other side and get y=-2x+4, the slope in a linear equation is m in the formula y=mx+b, in this case, m=-2
Help plsss due today!!!
Answer:
320 feet
Step-by-step explanation:
your mom
hope this helps:)
Joe had a summer job that pays $7.00 an hour and he worked 15 and 35 hours every week. His weekly salary can be modeled by the equation: s = 7H, wear a is his weekly salary and h is the number of hours he worked in a week. Describe the domain and range for this problem using appropriate notation.
Correct question is;
Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week.
What is the reasonable Domain and Range?
Answer:
Domain is: 15 ≤ x ≤ 35
Range is: 105 ≤ x ≤ 245
Step-by-step explanation:
We are told that Joe works between 15 and 35 hours every week.
This means that he works at least 15 hours or at most 35 hours a week.
Thus, domain is; 15 ≤ x ≤ 35
We are told that his weekly salary can be modeled by the equation: s = 7H
Where s is salary and H is number of hours worked per day.
Thus;
Lower range is; s = 7 × 15 = $105
While higher range is; s = 7 × 35 = $245
Thus, range is 105 ≤ x ≤ 245
which one is it??.......
A volleyball team has 30 players: 12 freshman, 4 sophomores, 6 juniors, and 8 seniors. If two players are chosen to be captains for the next game, what is the probability that both players chosen are freshman?
Answer:
.8
Step-by-step explanation:
you would take 12 over 30 and set that equal to x over 2. then multiply 12 times 2 which is 24 then divide 24 by 30 which is .8
Help me if you can thanks
Answer:
do this by first finding the greatest common factor of 0 and 23, which is 23
Then, we divide both 0 and 23 by the greatest common factor to get the following simplified fraction 0/1
Step-by-step explanation:
Hope it helped! :D
-4.5x(-2) =
i need help solving this equation
Answer:
9x
Step-by-step explanation:
-4.5X(-2)
-4.5x * -2
9x
does the table below show a proportional relationship
Answer:yes
Step-by-step explanation: