1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:
g(f(-2))
Answer:
[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]
x-40+9x-5 simplified
Answer:
your answer would be 10x-45
Step-by-step explanation:
If 2x +4= 36, what is the value of x?
Answer:
2x + 4 = 362x = 36-42x = 32x = 32/2x = 16Step-by-step explanation:
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What percent of the bottle of apple juice is water?
percent of water is: 32/80*100= 40%
solve pls brainliest
Answer:
4/4, 12/3, -37
Step-by-step explanation:
an integer is a whole number thats not a fraction, but can be negative
Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?
Step-by-step explanation:
That's the answer! hope it helped!
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
Please make sure the explain each step
Answer:
The axis of symmetry for f(x) is at x = 4 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.
The axis of symmetry for h(x) is at x = -2 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.
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Use the information given to enter an equation in standard form.
(27,31) and (37,45) are on the line.
WHATS THE ANSWER TO THIS??
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope: [tex]\frac{45-31}{37-27} = \frac{14}{10} = 1.4[/tex]
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8
Can someone help? Show work
help!! show all steps!
Find SURFACE AREA
Answer:
132 cm²
Step-by-step explanation:
The area of the two triangular ends is ...
A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles
The area of the three rectangular faces is ...
A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)
= (4 cm +3 cm +5 cm)(10 cm) = 120 cm²
Then the total surface area is ...
triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
The length of the missing side is 7.5
Step-by-step explanation:
let the missing side be x
[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]
98.01 = 42.25 + x^2
x^2 = 98.01 - 42.25
x^2 = 55.76
[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]
x = 7.5 or 7.47
Drag and drop each reason next to the corresponding statement to prove ∠B ≅ ∠C, given point M is the midpoint of BC.
Answer:
1. Given
2. Definition of midpoint
3. Given
4. Reflexive property of congruence
5. SSS
6. CPCTC
Step-by-step explanation:
8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?
write the equation in general form
Step-by-step explanation:
here is your answer hope you will enjoy and mark me as brainlist
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Estimate the sum of 462+526+856
Answer: 1844 because you just simply add 462+526+856=1844.
divide four into twelve
Answer:
3
Step-by-step explanation:
Four circles and 12 dots, divide them equally into the circles.
Answer:
3
Step-by-step explanation:
It's kinda like multiplying 3 and 4 then get 12
MATHEMATICAL CONNECTIONS Use the given information to write and solve a system of linear equations to find the values of $x$x and y$y$y . The text reads triangle L M N is congruent to triangle P Q R, the measure of angle L equals 40 degrees, the measure of angle M equals 90 degrees, the measure of angle P equals left parenthesis 17 x minus y right parenthesis degrees, the measure of angle R equals left parenthesis 2 x plus 4 y right parenthesis degrees. The equations are is equal to 40$=\ 40$= 40 and is equal to 50$=\ 50$= 50 . Question 2 $x\ =$x = and $y\ =$y =
The value of x and y is 2 and 11.5
The sum of the interior angle of a triangle is 180 degrees.
Since LMN and PQR are similar, hence:
m<L = m<P
m<M = m<Q
m<N = m<R
Given the following parameters
m< L = 40 degrees
m<M = 90 degrees
m<P = 17x - y
m<R = 2x + 4y
Get the measure of m<N
m<M + m<N + m<L = 180
90n+ m<N + 40 = 180
m<N = 180 - 130
m<N = 50degrees
Since m<P = m<L, hence;
17x - y = 40 ....... 1
Also m<R = m<N
2x + 4y = 50 .......... 2
Solve simultaneously
17x - y = 40 ....... 1 * 4
2x + 4y = 50 .......... 2 * 1
___________________________
68x - 4y = 160
2x + 4y = 50
Adding both equations
68x + 2x = 160 + 50
70x = 210
x = 2
Substitute x = 3 into the equation 2x + 4y = 50
2(2) + 4y = 50
4 + 4y = 50
4y = 50 - 4
4y = 46
y = 46/4
y = 11.5
Hence the value of x and y is 2 and 11.5
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Each cube in the prism is one cubic unit.
What is the volume of this rectangular prism?
Enter your answer in the box.
Answer:
i got 120 because i think you gotta multiply the bottom front colom and right colum and the front row
Answer:
I think its 120
Step-by-step explanation:
you would do length x width x height
6 x 5 x 4
6 x 5 = 30
30 x 4 = 120
therefore the volume is 120 units squared
Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?
The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.
Answer:
W = 8.5 units; L = 30.5 units
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively. Here, L = 3W + 5. Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W = 2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units
The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?
Answer:
$2408.
Step-by-step explanation:
28 * 86
As a puppy, Cricket weighed 2 1/4 pounds. At her 1-year check-up with the vet, Cricket weighed 9.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number.
A. 6.25
B. 12.75
C. 11.75
D. 7.25
Answer:
D. 7.25
Step-by-step explanation:
9.50-2.25=x
9.50-2.25= 7.25
The weight gained by cricket in between the time she was a puppy and her 1-year checkup is 7.25 pounds. Hence, option D is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the data provide by the question,
Initial weight of puppy = 9/4 = 2.25 pounds.
After 1-year, weight = 9.5 pounds.
Weight gained by the puppy = 9.5 - 2.25 = 7.25
Therefore, weight gained by the puppy is 7.25 Pounds.
To know more about arithmetic operations:
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48% of $650
19.6% of $170.65
Answer:
the answers are easy here is the answer if you don't know.
1. 312
2. 33.45
what pattern do you noticed for each column
Answer:
If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.
For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.
This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.
Step-by-step explanation:
Hope that makes sense :)
If you still don't get it, please let me know.
Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.
Where's your question?
PLEASE LAST ONE HELP!!!
Answer:
JKN and ONK
Step-by-step explanation:
Hope this helps :)
I don’t understand this :(
Step-by-step explanation:
Sum of two interior Angles equals to exterior angle . So ,
1 = 65 + 47 = 112°
And , angle sum property of a ∆ is 180° . Hence ,
2 = 180 - 65 - 68 = 47°
What was a social effect of Queen Hatshepsut’s economic policies?
Egypt experienced a decrease in status among other countries.
Religious reform became possible as peasants gained wealth.
The kingdom was peaceful and prosperous.
Workers became unhappy with the pharaoh.
Answer:
the answer is the kingdom was peaceful and prosperous
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Answer:
sdd
Step-by-step explanation:
seds
6. Five more than eight times a number is greater than four less than
seven times the number. Write an inequality to represent this relationship.
Then solve the inequality. *
8x+5 > 7x -4
X+5> -4
X> -9
Answer:
8x + 5 > 7x - 4
x > -9
Step-by-step explanation:
Five more than eight times a number
8x + 5
is greater than
>
four less than seven times the number
7x - 4
All together:
8x + 5 > 7x - 4
-------------------------------
Solve:
Subtract 7x from both sides
x + 5 > -4
Subtract 5 from both sides
x > -9