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
Find the slope. ( include whether positive or negative.)
Answer:
that is a negative slope
but dont know how to find the slope sorry
Step-by-step explanation:
[tex]\tt Step-by-step~explanation:[/tex]
Remember: To find the slope, we use the equation Rise/Run.
[tex]\tt Step~1:[/tex]
Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.
[tex]\tt Step~2:[/tex]
To find the run. we count left/right. We could count 8 units. Our run is 8.
The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.
[tex]\tt Step~3:[/tex]
To find the slope, we use the formula rise/run.
[tex]\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75[/tex]
[tex]\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}[/tex]
If the equation |5x − 10| = 45 has two solutions, then how many solutions does the equation |5x − 10| = −45 have? Explain.
Answer:
No solution
Step-by-step explanation:
It equals a negative so there is no solution
Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the math mentally thanks to expanded notation and the Distributive Property.
Answer:
So 24 hours each month times 12 would be 288 hours of working out of one year.
Hope this helps!
Step-by-step explanation:
Answer: 288h
Step-by-step explanation:
There are 12 months in a year if you exercise 24h per month you have to multiply 12 x 24 = 288h
From the diagram below, if the measure of < <= 30°, and side AB = 16, then side AC =
Select one:
a.
b.8
C.32
d. 16
plsss help it’s for geometry 2
Answer:
32
Step-by-step explanation:
The length of AC as per he sine of an angle is 32.
What is the sine of an angle in a right angle triangle?The sine of an angle is the ratio of the height and the hypotenuse of the triangle.
Given, ∠C = 30°
AB = 16
Therefore, sin ∠C = (AB/AC)
Therefore, sin (30°) = 16/AC
⇒ (1/2) = 16/AC
⇒ AC = 2 × 16
⇒ AC = 32
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The red lines on the diagram show the layout for a running event. Runners will race around the triangle-shaped grassy area. What is the total length of the race course? what is The total distance in km.
Answer:
Total distance = 5.754 km
Step-by-step explanation:
Red lines of the right triangle show the layout of the race course.
Total length of the race course = Perimeter of the triangle
Perimeter of the triangle = Sum of the measures of all three sides
= 1.83 + 1.524 + 2.4
= 5.754 km
Therefore, total distance of the race course is 5.754 km.
Answer:
5.754
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRAINLIEST
Answer:
*gives help*
:)
Step-by-step explanation:
A car increases, then decreases, its speed. Which table could represent the speed of the car? A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41.
Answer:
The speed increases (45—>47—>49) then decreases (48—>47) over time.
Step-by-step explanation:
HOPE THIS HELPED ✨
Answer: The speed increases (45—>47—>49) then decreases (48—>47) over time.
In January, a city’s snowfall was 5/8 foot below the historical average. In February, the snowfall was 3/4 foot above the historical average. Was the city’s snowfall in the two-month period above or below the historical average? By how much?
Answer:
The city's snowfall in the two-month period was above the historical average by 1/8 feet
Step-by-step explanation:
Fractions
The question provides the following information: In January, a city’s snowfall was 5/8 feet below the historical average. Let's assume the snowfall level to be positive if it's above the historical average and negative otherwise.
The data from January gives us a snowfall of -5/8 feet because it was below the average.
We also know in February, the snowfall was 3/4 foot above the historical average. Following our predefined convention, the data from February gives us a snowfall of +3/4 feet.
To know if the city's snowfall during the two-month period was above or below the historical average, we just need to add them, signs included.
If the result is negative, the two-month period showed a snowfall below the historical average.
Let's find the sum of
[tex]\displaystyle -\frac{5}{8}+\frac{3}{4}[/tex]
The LCM of 4 and 8 is 8, thus:
[tex]\displaystyle -\frac{5}{8}+\frac{3}{4}=\frac{-5+2*3}{8}=\frac{1}{8}[/tex]
Since this quantity is positive, we can say the city's snowfall in the two-month period was above the historical average by 1/8 feet.
Find the area and perimeter of a rectangle if the length is (x+7) and the width is (x+3).
[tex]\sf Length\:=\:(x+7) \\\\\sf
Breadth\:=\:(x+3) \\\\\sf
Area= Length\: x\: Breadth \\\\\sf
=(x+3)(x+7) \\\\\sf
=x^2+7x+3x+21 \\\\\sf
=x^2+10x+21 \\\\\sf
\boxed{Area=x^2+10x+21} \\\\ \\\\\sf
Now, \:Perimeter\:=\: 2x(length +breadth) \\\\\sf
=2(2x+10) \\\\\sf
=4x+20 \\\\\sf
\boxed{Perimeter=4x+20} [/tex]
[tex]l = (x + 3) \\ b = (x + 7)[/tex]
Area:
[tex] = l \times b \\ = (x + 3)(x + 7) \\ = x(x + 7) + 3(x + 7) \\ = {x}^{2} + 7x + 3x + 21 \\ = {x}^{2} + 10x + 21[/tex]
Perimeter:
[tex] = 2(l + b) \\ = 2((x + 3) + (x + 7)) \\ = 2(x + 3 + x + 7) \\ = 2(2x + 10) \\ = 4x + 20[/tex]
How do u check your answer for 4x+12-2x=26
Answer:
7
Step-by-step explanation:
4x+12-2x=26
Or, 2x=26-12
Or, 2x=14
Or, x=7
Here is some information about the goals scored in some hockey games.
Each game has four quarters.
Goals in hockey games
Number
of goals 5
The mean number of home
goals scored is 2.5
The mean number of away
goals scored is 1.8
How many home and away
games have been played
in total?
3rd
2nd
Quarter
Away goals
Key:
Home goals
Answer:
48 goals
Step-by-step explanation:
From the attached image, we can see that:
Number of Home Goals = 9 + 6 + 8 + 7
= 30
Number of Away goals = 2 + 7 + 4 + 5
= 18
Total number of goals = 30 + 18
= 48
Order the numbers from least to greatest.
2.1,−610,−94,−0.75, 53
please help!! giving 20 points !
What is the area of this rectangle?
Help match them with the answer I would really appreciate it
Answer:
Graph 1 goes with the equation [tex]y = \frac{1}{2}x - 7[/tex]
Graph 2 goes to the equation y = [tex]-\frac{3}{4}x + 9[/tex]
Graph 3 goes to the equation y = x + 10
Three friends entered a race around a track. Edward takes 6 minutes to run one lap. Bernie takes 3 minutes to run one lap and it takes Freddie 5 minutes to run one lap. If all three friends begin the race at the same time, how many minutes will it take for all three friends to be at the starting point again?
Answer:
It will take 30 minutes
Step-by-step explanation:
Here, we want to calculate the time it will take for the three friends to be at the starting point again
What we do here is to note the time it will take for each of the three friends to run a lap
That will be 6 , 3 and 5
What we now need to know the time is to find the lowest common multiple of the three amount of time
The lowest common multiple of 6,3 and 5 is 30
So the amount of time it will take the friends to be at the starting point again is 30 minutes
6x10^5 is how many times as large as 3x10^3?
the answer would be 200 times as large
6x10^5=600000
3x10^3=3000
600000/3000=200
Answer:
200 times
Step-by-step explanation:
If the temperature at 7:00 am was - 7 degrees C and the temperature rose
8 degrees C during the morning, what was the temperature by noon?
Answer:
Temperature in noon = 1°C
Step-by-step explanation:
Given:
Temperature on 7:00 Am = -7°C
Temperature rose = 8°C
Find:
Temperature in noon
Computation:
Temperature in noon = Temperature on 7:00 Am + Temperature rose
Temperature in noon = -7°C + 8°C
Temperature in noon = 1°C
You have at most $3.65 to make copies for a school project. Each copy costs $0.25. Write and solve an inequality that represents the number of copies you can make.
The equation for the problem is [tex]0.25x[/tex] ≤ [tex]3.65[/tex]
Hope it helps!
You can make the maximum number of copies would be 14.6 which is determined by the inequality 0.25x ≤ 3.65 where x represents the number of copies.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
You have at most $3.65 to make copies for a school project. Each copy costs $0.25 which is given in the question.
As per the given condition, the required inequality would be:
⇒ 0.25x ≤ 3.65
Here x represents the number of copies
⇒ 0.25x ≤ 3.65
Divided by 0.25 both sides of the inequality, and we get
⇒ x ≤ 3.65/0.25
⇒ x ≤ 14.6
Therefore, you can make the maximum number of copies would be 14.6.
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1. Two phone plans offer 500 free minutes per month. Plan A charges $29.99 per month with a charge of $0.45 for each additional minute. Plan B charges $34.99 per month with a charge of $0.40 for each additional minute. 1. Write an inequality to find the number of additional minutes, m, for which Plan A costs more than Plan B for any given month.
Step-by-step explanation:
Plan A costs 100 minutes more than Plan B for the given month.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Plan A is $29.99 per month plus $0.45 per minute further than the allotted time. Plan B costs $34.99 per month plus $0.40 for each additional minute.
According to the given question, we can write the inequality would be as:
⇒ 29.99 + 0.45m > 34.99 + 0.40m
⇒ 0.45m - 0.40m > 34.99 - 29.99
Apply the subtraction operation, and we get
⇒ 0.05m > 5
⇒ m > 5/0.05
Apply the division operation, and we get
⇒ m > 100 minutes
Therefore, Plan A costs 100 minutes more than Plan B for the given month.
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Each output of a function is 0.25 greater than the corresponding input. Which equation is a rule for
the function?
O y = 0.25x
O y = x/0.25
O y = x +0.25
O y = x - 0.25
Answer:
A. y = x+0.25
can someone please help me with this question
Answer:6
Step-by-step explanation:
Jacob has unlocked 6 less than
twice as many game levels as
Shannon. If Jacob has unlocked 14
levels, how many levels has
Shannon unlocked?
Answer:
Shannon has unlocked 40 levels.
Step-by-step explanation:
14 + 6 = 20
20 * 2 = 40
Please help me!!!! Due in 1 hour, whoever helps me will get a brainliest!
Answer:
1.) The ratio of peaches to oranges 5 : 4
2.) 3 : 12
3.) I have 8 fruits in total, but 2 blueberries. The ratio using numbers would be: 8 : 4
4.)
- 11 : 14
- 14 : 25
- 25 : 11
- 14 : 11
5.) a. False
b. True
c. False
d. True
e. True
Alice is correct. The ratio is 6 : 9 because the question asks what the ratio is of students playing volleyball (6) TO basketball (9).
Hope this helped and I answered on time :)
Step-by-step explanation:
(2/3) × (-6) × 5
please help me solve and show work
Answer:
-20
Step-by-step explanation:
Use PEMDAS
[tex]\frac 2 3 * -6 * 5\\\frac 2 3*-30\\\frac {-60}{3}\\-20[/tex]
If you invest $25.00 at 6% interest compounded monthly,
how much will you have after 1 year?
plz help me out! What is the result when x^3 + 6x^2 + 10x + 25 is divided by x+ 5?
Answer:
x² + x + 5
Step-by-step explanation:
Using Synthetic division
- 5 | 1 6 10 25
↓ - 5 - 5 - 25
-----------------------
1 1 5 0 ← remainder
Since the remainder is zero then (x + 5) is a factor of the polynomial
The Quotient = x² + x + 5
Thus
x³ + 6x² + 10x + 25 = (x + 5)(x² + x + 5)
What is an equation of the line that passes through the point (-3,-7)(−3,−7) and is parallel to the line 3x-y=53x−y=5?
Answer:
y = -3x-14
Step-by-step explanation:
Any line parallel to
y
=
−
3
x
+
6
will be in the form
y
=
−
3
x
+
c
for some constant
c
If
(
x
,
y
)
=
(
−
3
,
−
5
)
is a solution to such an equation, then replacing
y
with
(
−
5
)
and
x
with
(
−
3
)
gives
−
5
=
(
−
3
)
⋅
(
−
3
)
+
c
→
−
5
=
9
+
c
→
c
=
−
14
So the desired parallel line would have the equation
y
=
−
3
x
−
14
Solve for w.
−(14w+8)+8=3
w=134
w = 52
w=−34
w=−12
Answer:
w = -12
Step-by-step explanation:
maybe it's right
Answer: W = -12
Step-by-step explanation:
1 .i'm with k12 and got 100%
2 it tells me i got it right
What is the equation of the line that passes through the points (-6,-7) and (6,3)
Answer:
[tex]y=\frac{5}{6} x-2[/tex]
Step-by-step explanation:
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are coordinates of a point that the line passes through, and [tex]m[/tex] is the slope of the line.
We are given two points that the line passes through, but we are not given the slope.
We can find the slope by using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]where [tex](x_1, \ x_2)[/tex] and [tex](y_1, \ y_2)[/tex] are two points that the line passes through.
Substitute (-6, -7) and (6, 3) into the slope formula:
[tex]\frac{3-(-7)}{6-(-6)} = \frac{10}{12} = \frac{5}{6}[/tex]The slope of this line is 5/6. Now we are able to use the point-slope equation to find the slope-intercept equation [tex](y=mx+b)[/tex] of this line.
Substitute a point that the line passes through and the slope of the line into the point-slope equation. I'm using the point (6, 3).
[tex]y-y_1=m(x-x_1)[/tex][tex]y-(3)=\frac{5}{6} (x-(6)[/tex][tex]y-3=\frac{5}{6} (x-6)[/tex]Distribute 5/6 inside the parentheses.
[tex]y-3=\frac{5}{6} x-\frac{30}{6}[/tex][tex]y-3=\frac{5}{6} x-5[/tex]Add 3 to both sides of the equation.
[tex]y=\frac{5}{6} x-2[/tex]This is the equation of the line that passes through (-6, -7) and (6, 3) in slope-intercept form.
-p(51+z) = Dz+84
Z=?
Answer:
[tex]z=\frac{3 (28 + 17p)}{p + D}[/tex]
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.