Answer:
(f + g)(x) = I2x + 1I + 1 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = I2x + 1I + 3
∵ g(x) = -2
→ We need to find (f + g)(x), which means add the two functions
∵ (f + g)(x) = f(x) + g(x)
→ Substitute the right side of each function on the right side
∴ (f + g)(x) = I2x + 1I + 3 + (-2)
→ Remember (+)(-) = (-)
∴ (f + g)(x) = I2x + 1I + 3 - 2
→ Add the like terms in the right side
∵ (f + g)(x) = I2x + 1I + (3 - 2)
∴ (f + g)(x) = I2x + 1I + 1
x+5y=5
-x+6y=-5
Please Help Me Thank you :)
Answer:
(5, 0)
Step-by-step explanation:
For the first line, we can isolate x by subtracting 5y on both sides.
x=5-5y.
Now we can use substitution on the second line!
-(5-5y)+6y=-5
= -5+5y+6y=-5
=-5+11y=-5
=11y=0
y=0
We subsitute y for the first line,
x+5(0)=5
x+0=5
x=5
We can check our work by plugging in x and y
5+5(0)=5 ✔
-5+6(0)=-5 ✔
Answer:
The lines cross at (5,0)
Step-by-step explanation:
f (x) = -x + 7 identifiy 0
Answer:
7
Step-by-step explanation:
[tex]f (x) = -x + 7 \\ \\ plug \: f (x) = 0 \\ \\ 0 = - x + 7 \\ \\ x = 7 \\ \\ zero \: is \: 7[/tex]
Find the error
Examine Tamika’s work below. What is Tamika’s error?
Answer:
the answer would be A. adding the exponents
Step-by-step explanation:
Answer:
A. adding the exponents
Step-by-step explanation:
Hope this helped have an amazing day!
Factor the expression using the GCF: (42 + 12 ) = __ ( __+ __ )
Answer:
2
Step-by-step explanation:
Answer:
6(7+2) hope this helps
Step-by-step explanation:
(42 + 12 )
= 6(7+2)
"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is the diagonal of the rectangle increasing?
The rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.
To find the rate at which the diagonal of the rectangle is increasing, we can use the relationship between the sides of the rectangle, its area, and the diagonal.
Given that Height of the rectangle (h) = 5 cm
The rate at which the base is increasing (db/dt) = 3/2 cm/min
Area of the rectangle (A) = 60 cm²
We can determine the base (b) using the formula for the area of a rectangle:
A = b x h
60 = b x 5
b = 12 cm
Next, the Pythagorean theorem:
d² = b² + h²
d² = 12² + 5²
d² = 144 + 25
d² = 169
d = 13 cm
Now, to determine the rate at which the diagonal is increasing (dd/dt), we can differentiate the equation for the diagonal with respect to time:
d² = b² + h²
2d x (dd/dt) = 2b x (db/dt) + 0 x (dh/dt)
2d x (dd/dt) = 2b x (db/dt)
(dd/dt) = (b (db/dt)) / d
Substituting the known values:
(dd/dt) = (12 x (3/2)) / 13
(dd/dt) = 36/26
(dd/dt) = 18/13 cm/min
Therefore, the rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.
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Julie and her sister, Meg, made milkshakes last night. Julie made a giant milkshake using 2
scoops of chocolate ice cream and 4 scoops of vanilla ice cream. Meg wasn't as hungry, so
she only used 1 scoop of chocolate ice cream and 2 scoops of vanilla ice cream in her
milkshake. Whose milkshake tasted more chocolaty?
A. Julie's milkshake tasted more chocolaty.
B. Meg's milkshake tasted more chocolaty.
C. Neither. The milkshakes tasted equally chocolaty.
Answer: C
Explanation: 2/4 = 1/2
Answer:
Why did you put the anwer if you want someone to answer it?
Step-by-step explanation:
-m-
The winning time for the men's 400-meter race in each of the Olympic Games from 1976 to 1996 can be modeled by the equation y = −0.054x + 44.54 , where x is the number of years after 1976 and y is the winning time in seconds. If the relationship continues, which equation could be used to predict the winning time in the year 2020?
Answer:
D. y = −0.054(44) 44.54
Step-by-step explanation:
The difference in years from 1976 to 1996 is 20 years
But from 1976 to 2020 the years would be 44
So here put the value of x as 44
Therefore the equation that could be used for predict the winning time for the year 2020 is y = −0.054(44) 44.54
Hence, the correct option is d.
ANd the rest of the options are incorrect
please hurry ! ! which linear inequality is represented by the graph?
Answer:
y>2/3x+3
Step-by-step explanation:
Answer and Step-by-step explanation:
The answer is the third option, or:
[tex]y > \frac{2}{3} x + 3[/tex]
This is because the line has a rise of 2 and a run of 3 (so a slope of 2/3)
and Everything is filled in above the line, so y is greater than the the values on the line and below the line.
#teamtrees #WAP (Water And Plant)
PLS HELP!! 9-3 divided by 1/3+1=________.
Answer:-3
Step-by-step explanation:
Mia and Troy work on weekends. The table and graph show the amount of money they made over four weeks.
After week 1, Mia’s total earnings were Troy’s.
After week 3, Troy’s total earnings were Mia’s.
Answer: greater than, the same as
Step-by-step explanation:
The solution is : After 7 weeks, Mia's office will have recycled 21 pounds.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.
3 weeks → 9 pounds
7 weeks → x
x=(7*9)/3
x=21
According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.
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Complete question:
Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18
Ms. Raab and Ms. Levy both drink coffee in the
mornings.
Ms. Raab adds 1 more teaspoon to each cup of
coffee than Ms. Levy. Together, they both add 5
teaspoons of sugar to their coffees.
How many teaspoons of sugar does Ms. Raab add?
How many teaspoons does Ms. Levy add?
Set up an equation to show this, and then solve.
Answer:
Ms Levy = 2
Ms Rabb = 3
Step-by-step explanation:
Let :
Number of teaspoons taken by Ms Levy = x
Number of teaspoons taken by Ms Rabb = x + 1
Total number of teaspoons taken by both = 5
(Number of teaspoons taken by Ms Rabb + Number of teaspoons taken by Ms Levy) = total number of teaspoons taken
x + 1 + x = 5
2x + 1 = 5
2x = 5 - 1
2x = 4
x = 4/2
x = 2
Hence,
Number of teaspoons of sugar added by Ms Levy = x = 2
Number of teaspoons of sugar added by Ms Rabb = x + 1 = 2 + 1 = 3
Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park.
Complete question : Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park. Find Aaron's total miles ran?
Answer:
7/8 miles
Step-by-step explanation:
Given that:
Distance to friend's house = 5/8 miles
Then, Distance to park = 1/4 miles
Total. Distance ran :
(5/8 + 1/4)
L.C.M of 4 and 8 = 8
(5 + 2) / 8 = 7/8 miles
Total distance ran = 7/8 miles
What statement best describes the function notation f(2)=10
Answer: 12
Step-by-step explanation:
larry works at target part-time , he must earn at least $400each week , he earns $10.50 per hour , which inequality represents the number of hours ,x, jamal must work each week
Answer:
1x
Step-by-step explanation:
4x x 6x
Last question can someone help?
Answer:
The answer is y= - 2x - 14
Step-by-step explanation:
Slope intercept form is y=mx+b so the answer is y= - 2x - 14
- 1/2 ( -5/6 + 1/4)
Answer:
0.29166666666
Step-by-step explanation:
Answer:
0.29166666666
Your answer...
what is the bill for 10 day rental b = 45.95d + 38.5
Answer:
b = 498
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
b = 45.95d + 38.5
d = 10 days
Step 2: Evaluate
Substitute: b = 45.95(10) + 38.5Multiply: b = 459.5 + 38.5Add: b = 498Answer:
498 dollars
Step-by-step explanation:
So just plug in the 10 in the equation for D
45.95*10+38.5
Now just solve using order of operations
You would get 498
Fluffy bunny ate 1/2 of a carrot in the morning by the end of the day he started 2/5 of how much of the Caribbean fluffy eat at night
Answer: I think it’s 0.1 or 1/10 but I’m kinda confused
Step-by-step explanation: someone pls correct me if I’m wrong
1/2 is 0.5
2/5 is 0.4
0.5-0.4=0.1
0.1=1/10
1/10 of carrot, fluffy will eat at night.
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator
Given,
Fluffy bunny ate 1/2 of a carrot in the morning
By the end of the day he ate 2/5 of left carrot = 2/5
Whole carrot can be considered as 1.
Carrot left after eating 1/2 of it in the morning
= 1 - 1/2
= 1/2
Carrot left after eating 2/5 part
= 1/2 - 2/5
= (5 - 4)/10
= 1/10
Hence, fluffy ate 1/10 of carrot at night.
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If f(x) = x^3, what is the equation of the graphed function?
A. y = f(x-3) - 2
B. y = f(x+3) - 2
C. y = f(x+2) - 3
D. y = f(x-2) + 3
Answer:
b
Step-by-step explanation:
Just did the test got it right
The equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2
How to determine the function g(x)?The equation of the function f(x) is given as:
f(x) = x^3
The function g(x) is shifted down by 2 units and shifted left by 3 units, to get the function g(x)
This means that:
g(x) = f(x + 3) - 2
So, we have:
g(x) = f(x + 3) - 2
Hence, the equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2
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Find the slope
between the
following points:
(-7,0) and (-6,-10)
Answer:
[tex]m=-10[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, 0)
Point (-6, -10)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-10-0}{-6+7}[/tex]Subtract/Add: [tex]m=\frac{-10}{1}[/tex]Divide: [tex]m=-10[/tex]Answer:
10
Step-by-step explanation:
Slope formula is: [tex]\frac{y2+y1}{x2-x1}[/tex]
So we plug in the numbers.
[tex]\frac{-10-0}{-7-(-6)}[/tex]=[tex]\frac{-10}{-1}[/tex]=10
can someone please help me solve
x to the third power=1,000
Answer:
x=10
Step-by-step explanation:
Answer:
it is 10 :)
Step-by-step explanation:
a budget of $225 for costumes for the school play. She
spent $86.56 on jackets and $45.38 on hats. How much money does
Melanie have left in the budget?
HELPPPPP PLEASE FASTTT
Answer:
93.06
Step-by-step explanation:
86.56 + 45.38 = 131.94
225 - 131.94 = 93.06
The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditioner will be replaced with another cube-shaped unit with a volume of 1 cubic meter. By how much will the edge length of the air conditioner change?
Answer:
The edge length of the air conditioner changed by 0.2m
Step-by-step explanation:
The volume of a cube is S^3
The edge length of the former unit is cube root of 0.512 which is 0.8 m
The edge length of the new is cube root of 1 which is 1 m
The difference is 1-0.8 = 0.2 m
–18 • –17 please hrlp
Answer:
The answer is 306
Step-by-step explanation:
(−18)(−17)
=306
A community is building a new outdoor basketball court. The length of the court is twice the width.
Answer:
Step-by-step explanation:
The width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.
The problem states that the width of the basketball court (W) can be modeled by the equation:
W(A) = √(A/2)
where A is the area of the court in square feet.
Since the length (L) of the basketball court is twice the width (W), we can express it as:
L = 2W
Now, let's find the expression for the length (L) in terms of the area (A) of the court.
Step 1: Substitute the value of W from the given model into the expression for L:
L = 2 × √(A/2)
Step 2: Simplify the expression:
L = √(4A/2)
L = √(2A)
So, the expression for the length (L) of the basketball court in terms of its area (A) is given by L = √(2A).
To summarize, the width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.
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Complete question :- A community is building a new outdoor basketball court. The length of the court is twice the width. The width of the basketball court in feet can be modeled by w(A)= √A/2 where a is the area in square feet of the court.
Which graph represents a relation that is also a function?
( look at the graph and help me pls )
What is the measure of H?
PLEASE HELP
Answer:
h = 100
Step-by-step explanation:
plz mark my answer as brainlist plzzzz vote me also
Answer:
100°
Step-by-step explanation:
Ok so it looks overwhelming at first, but you just need to make sections and break it down
You are looking for h°, so you want to make it a triangle
The angles of this triangle would be h°, 40°, and x°
You can find x° by using the 140° on the same line
it is a straight line, so that means its angle is 180°
180° - 140° = 40°
x° = 40 °
so now you know that the angles in the triangle are h°, 40°, and 40°
Every triangle has angles that measure to 180°
180° - 40° - 40° = 100°
h° = 100°
10+10
any one know the answer Im stuck am im in 8th grade
Answer:
20
Step-by-step explanation:
10+10 = 20
Answer:
its 20 and if your in 8th grade you should know that
Step-by-step explanation:
The volume of a single layer in a rectangular prism is 9 cubic centimeters. There are 6 layers in the rectangular prism. What is the total volume, in cubic centimeters, of the rectangular prism?
Answer:
Total volume of the rectangular prism = 54 cubic centimeters
Step-by-step explanation:
Volume of a single layer in a rectangular prism = 9 cubic centimeters
There are 6 layers in the rectangular prism
What is the total volume, in cubic centimeters, of the rectangular prism?
Total volume of the rectangular prism = Volume of a single layer in the rectangular prism × number of layers in the prism
= 9 cubic centimeters × 6 layers
= 54 cubic centimeters
Total volume of the rectangular prism = 54 cubic centimeters
6+16k factored using the GCF
Answer:
2(3 + 8k)
Step-by-step explanation:
GCF of 6 and 16 is 2.
6 + 16k = 2(3 + 8k)