Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)
Answer:
17/7 (2 3/7 or 2. 428571...)
Step-by-step explanation:
f(x) = 4x-2
Find f(5)
f(5) = 4(5)-3f(5) = 20-3f(5) = 17g(x) = -2x+1
Find g(-3)
g(-3) = -2(-3)+1g(-3) = 6+1g(-3) = 7Find f(5)/g(-3)
f(5)/g(-3)17/7 (2 3/7 or 2. 428571...)The value of f(5)/g(-3) will be 18/7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Now,
Since, The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Hence, We get;
⇒ f (5) = 4 × 5 - 2
= 20 - 2
= 18
And, g (- 3) = - 2 × - 3 + 1
⇒ g (-3) = 6 + 1
= 7
Thus, The value of f(5)/g(-3) = 18/7
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What’s the value of k?
Answer: k = 5°
Step-by-step explanation:
A triangle adds up to 180°. Therefore, the equation is 115 + (4k + 5) + (6k + 10) = 180.Remove the parenthesis and combine the like terms. 115 + 5 + 10 = 130 and 4k + 6k = 10k. The equation simplifies to 130 + 10k = 180.Subtract 130 on both sides. 10k = 50Divide by 10 on both sides. k = 5Answer:
The value of k is 10°
Step-by-step explanation:
Assuming that straight line is 180°. First, you have to find the angle of ZYX by subtracting 115° from 180° :
∠ZYX = 180° - 115° = 65°
Given that total angles in a triangle is 180°. So you have to add up all the angles in the triangle in terms of k :
∠XZY + ∠ZYX + ∠ZXY = 180°
4k + 5 + 65 + 6k + 10 = 180
10k + 80 = 180
10k = 180 - 80
10k = 100
k = 100 ÷ 10
k = 10
This graph shows the number of miles a freight train travels over a period of time.
Freight Train Travel Rate
What is the slope of the line?
Use the number pad to enter your answer in the box
3^2– 2-3 + x = (33 – 3.8) (2) + x
500g:3kg.Give answer in lowest term
Answer:
Step-by-step explanation:
First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.
So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.
500g:3,000g
So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.
Final Simplified Ratio: 1g:6g
Hope this helped :)
16 PS 19
E question Help
Some friends played a board game. During the game, one unlucky player had to move back 9 spaces
7 turns in a row. Find a number to represent that player's movements for those 7 turns
Answer:
-63
Step-by-step explanation:
Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!
find the value of f(3) for the function f(x)=-4(x+3) f(3)=
Answer:
-24Step-by-step explanation:
Given function
f(x)= -4(x+3)To find
f(3)=?Solution
Substitute x with 3 in the equation to find f(3)
f(3) = -4(3+3) = -4*6 = -24Can someone help me with this please :)
Answer:
47.25
Step-by-step explanation:
9 times 10.5=94.5/2=47.25
help me i willl mark if you get it correct
Answer:
8+(3/4w)
Step-by-step explanation:
8 for the miles she's already gone then plus 3/4 times number of weeks to represent how many more she'll go
please help!! (click on pic)
Answer:
1/2x³y^6
Step-by-step explanation:
A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.
Answer:
7 cmStep-by-step explanation:
For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:
h=-b/2a and k=f(h) the point (h, k) is vertex of the function graph.
It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.
A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28
h = -28/[2•(-2)] = 7
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4 of the way from A to B?
Answer:
Step-by-step explanation:
(4 + 12)/4 = 16/4 = 4
(-2 + 10)/2= 8/4 = 2
(4, 2) is 1/4 of the way from A to B
The coordinates of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The coordinates of points A and B are A(4, -2) and B(12, 10)
The coordinates of the point that is 1/4 of the way from A to B
The above statement means that the line segment AB is divided in the ratio of 1:4 internally.
Using the section formula:
Let C be the new coordinate point:
C(x) = [1(12) + 4(4)]/(1+4)
C(x) = 28/5
C(y) = [1(10) + 4(-2)]/(1+4)
C(y) = 2/5
Thus, the coordinate of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
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Simplify 3r + 2(t + 5r).
Answer:
13r + 2t
Step-by-step explanation:
Step 1: Write out expression
3r + 2(t + 5r)
Step 2: Distribute
3r + 2t + 10r
Step 3: Combine like terms (r)
13r + 2t
What value does the 8 represent in the number 865,202 ?
The value of 8 is 800,000.
The value of each digit in a number is known as the place value. The place value of 8 in the number 865,202 is 800,000.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
How do identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so on
The tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The place value of 8 in the number 865,202 is 800,000.
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Sarah is playing a board game. Her score was -275 at the start of her turn. At the end of her turn, her score was -425. What was the change in Sarah's score (in points) from the start of her turn to the end?
Answer:
150 points
Step-by-step explanation:
Since they are asking for a change, first you need to subtract the greater number by the least number. So the equation now looks like -275 - (-425), solving this using integer skills will get you a answer of 150 points.
Answer: -150
Step-by-step explanation:
The change is obtained by subtracting the original term from the second term so you do -425 + 275 = -150, the change in Sarah’s score.
Convert 6 7/20
into a decimal
Answer:
6.35
Explanation:
7 divided by 20 is 0.35+6= 6.35
Which step can you use to solve the equation t - 8= -3?
O Add 8 to each side of the equation.
Subtract 8 from each side of the equation.
O Multiply each side of the equation by 8.
O Divide each side of the equation by 8.
Solve the equation t-8=
3.
2xº
(8x - 10°
a. Solve for x
b. Find the measure of the angle on the right
c. Find the measure of the angle on the left
Step-by-step explanation:
2x + 7x - 10 = 180° because these rwo angles are supplementary
10x - 10 = 180°
10x = 190° divide both sides by 10
x = 19
measure of angle on the right:
8x - 10 ➡ 8 × 19 - 10 = 142°
measure of angle on the left:
2x ➡ 2 × 19 = 38°
gET RIGHT AND GET BRAINLIEsT
Answer:
68
Step-by-step explanation:
k=-34
absolute value makes k positive
34+34
4(b+24)=(12b+8) pls help
Answer:
b=11
Step-by-step explanation:
4(b+24)=(12b+8)
4b+96=12b+8
-4. -4
96=8b+8
-8. -8
88=8b
88÷8=11
A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?
210 feet To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:
42feet/9.4 feet= 4.468
That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468= 210 feet.
Point M is the midpoint of segment PR. If PM= 4x - 12 and MR =2x + 21, solve for x and determine the measure of segment PR
Set up an equation to solve for x.
Answer:
x=4.5
Step-by-step explanation:
pm is equal to mr so you can set the equations to equal each other and solve
Algebra KPL and LJPL are a linear pair, m_ KPL = 2x + 24, and mLJPL = 4x + 36. What are the measures of ZKPL and LJPL? (2x + 24) (4x + 36) к P
Answer:
64° = ∠KPL116° = ∠JPLStep-by-step explanation:
The sum of the measures of a linear pair of angles is 180°.
(2x+24) +(4x+36) = 180
6x = 120 . . . . . . subtract 60, collect terms
x = 20
(2(20) +24)° = 64° = ∠KPL
(4(20) +36)° = 116° = ∠JPL
how to do this question c. I know how to do b and a 6,0,3,2,2,5 that they scored
Answer:
I’m pretty sure you have to multiply the 4 because that’s how many points you get per Galo and multiply by 7 because it was the seventh game so 28.
Step-by-step explanation:
2(2t+4)=3/4(24-8t) What does t equal?? plz help!!! thank you so much
Answer:
T= -5
Step-by-step explanation:
2(2t+4)= 3/4(24-8t)
4×2(2t+4)= 4×3/4(24-8t)
16t+32=72-32
16t-24t=72-32
-8t=40
therefore t equals negative five.
i hope you understand.
A 24 foot long tree casts a shadow that is 9 feet long at the same time a nearby building casts a shadow of 45 feet long how tall is the building
Answer:
i think the answer you're looking for is 60
Step-by-step explanation:
24-9=15
45+15=60
Points P, R, and S, are collinear such that R lies on PS. It is known that the ratio of
PR: RS = 1/3}. Find the location of coordinate R if P is located at (-2,-6) and is
located at (10,30).
Answer:
1,3
Step-by-step explanation:
Sorry if my English is bad
or if my answer is wrong but from my understanding,
as you can recognize from the photos, we need to understand what a collinear is. Collinear are points that are lying in the same straight line. Thus, we can transform the ratio to fractions which means 1 : 3 into 1/3
Hence, the coordinate R is 1/3 between P and S.
Therefore, to determine coordinate R, we must use the formula that is provided. P is (X1, Y1), S is (X2,Y2), M1 is 1 or the Numerator and M2 is 3 or The denominator.
what is the answer to
10 + (-4)
Answer:
6
Step-by-step explanation:
Note the rules for signs directly next to each other:
If there is two positive signs, the result will be positive.
If there is one positive and one negative sign, the result will be negative.
If there is two negative signs, the result will be positive.
In this case, there is a positive and a negative sign. You are, therefore, subtracting 10 with 4:
10 + (-4) = 10 - 4 = 6
6 is your answer.
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Answer: B
Step-by-step explanation:
-6.53, -6 1/4, 6.57, 6 3/4.
A rectangular lawn is 40 feet by 50 feet. How wide a uniform strip has been mowed around
the edge if 3/10 of the lawn has not yet been mowed?
Answer:
The width of the strip is 28 ftStep-by-step explanation:
First lest us calculate the area of the rectangle
given that
length= 50ft
width= 40 ft
Area = length *width
Area= 50*40
Areaa= 2000 ft^2
given that 3/10 of the lawn is yet to be mowed
(3/10)*2000
0.3*2000= 600ft^2
Therefore the area that has been mowed is 2000-600= 1400 ft^2
1400 ft^2
since the direction of the mower is along the lenght of the lawn
area= lenght*width
1400= 50*width
width= 1400/50
width= 28 ft