Answers
a. f(a) =5a+12
we have 1. a=6
Therefore, where ever we find a we'll substitute in 6
f(6) =5(6) +12
6f=30+12
6f=42
so therefore 1. a=6 will match c on the right
2. a=2
f(2) =5(2) +12
2f = 10+12
2f = 22
therefore 2. a=2 will match a on the right
3. a=4
f(4) =5(4) +12
4f=20+12
4f=32
therefore 3. a=4 will match d on the right
4. a=5
f(5) =5(5) +12
5f=25+12
5f=37
therefore 4. a=5 will match b on the right
Related Questions
.
Solve for x
5x – 7 = 19
Give your answer as an

Answers
5x - 7 = 19
Add 7 to both sides:
5x = 26
Divide both sides by 5:
x = 26/5
[tex]5x - 7 = 19[/tex]
Move -7 to another side and become + 7. Whenever we move to another side, we change the sign/operator to opposite. Ergo, changing from plus to minus and multiply to divide.
[tex]5x = 19 + 7 \\ 5x = 26[/tex]
We are at this part. Now to move 5 which is multiplying the x. So we move 5 from multiply to divide 26.
[tex]x = \frac{26}{5} [/tex]
Ergo, the answer is x = 26/5
What is the equation of the line that passes through the point (-6,2)(−6,2) and has a slope of -3/2?
Answers
Given:
A line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex].
To find:
The equation of line.
Solution:
If a line passes though a point [tex](x_1,y_1)[/tex] and has a slope m, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex]. So, the equation of line is
[tex]y-2=-\dfrac{3}{2}(x-(-6))[/tex]
[tex]y-2=-\dfrac{3}{2}(x+6)[/tex]
[tex]y-2=-\dfrac{3}{2}(x)-\dfrac{3}{2}(6)[/tex]
[tex]y-2=-\dfrac{3}{2}(x)-9[/tex]
Add 2 on both sides.
[tex]y=-\dfrac{3}{2}(x)-9+2[/tex]
[tex]y=-\dfrac{3}{2}x-7[/tex]
Therefore, the equation of line is [tex]y=-\dfrac{3}{2}x-7[/tex].
.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y<3x+5,y=3x+5 or y >3x+5..
Answers
Answer:
y < 3x + 5: No
y = 3x + 5: No
y > 3x + 5: Yes
Step-by-step explanation:
You can just put the value of x which is (-2) into each equation to see if the y value would be 4.
y < 3x + 5
y < 3(-2) + 5
y < -6 + 5
4 < -1 (This equation is wrong, so the point does not satisfy this equation)
y = 3x + 5
y = 3(-2) + 5
y = -6 + 5
4 = -1 (This equation is wrong, so the point does not satisfy this equation)
y > 3x + 5
y > 3(-2) + 5
y > -6 + 5
4 > -1 (This equation is correct, so the point does satisfy the equation)
DUE SOON PLEASE HELP!!!!!!
Answers
So the question is asking when it will be the same amount of water, which means we are dealing with an EQUAL sign because they want to know when it’s the SAME. So, we look at the equation again and it’s saying that the 4.5 gallon tub is gaining water, and the 7 gallon tub is losing water. Because C also has an equal sign, it isn’t the right choice because of the fact that the 7 gallon tub in that equation has a + sign instead of a - sign like B does.
If this helped I appreciate a ❤️ and 5 ⭐️
What is the square root of 166?
Answers
Answer:
12.8840987267
Step-by-step explanation:
Answer:
[tex]\sqrt{166}[/tex] = 12.8
Step-by-step explanation:
Determine the value.
A)-2
B)2
C)
1/2
D)-1/2
Answers
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Answer:
means it is your as u know u are a ashile
45 WZ is parallel to XY,
SW = 15, WX = 5, SZ =12, WZ= 9 Find XY
S
I
W
Z
Х
Y
Answers
Step-by-step explanation:
wz parallel to XYXYS similar WZSXY/WZ=XS/SWXY/9=20/15XY=12I WILL MARK BRAINLIEST
Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3.
Answers
Answer:
y - 6 = - 3(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (- 1, 6) , then
y - 6 = - 3(x - (- 1) ) , that is
y - 6 = - 3(x + 1)
Answer:
your answer would be y - 6 = - 3(x + 1)
Step-by-step explanation:
hopes this helps!:)
please help me I do not understand
Answers
Answer:
[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(x-2\right)\left(x-m\right)=x^2-bx+60[/tex]
switch sides
[tex]x^2-bx+60=\left(x-2\right)\left(x-m\right)[/tex]
subtract x² from both sides
[tex]x^2-bx+60-x^2=\left(x-2\right)\left(x-m\right)-x^2[/tex]
simplify
[tex]-bx+60=-mx-2x+2m[/tex]
subtract 60 from both sides
[tex]-bx+60-60=-mx-2x+2m-60[/tex]
simplify
[tex]-bx=-mx-2x+2m-60[/tex]
subtract x from both sides; x≠0
[tex]\frac{-bx}{-x}=-\frac{mx}{-x}-\frac{2x}{-x}+\frac{2m}{-x}-\frac{60}{-x};\quad \:x\ne \:0[/tex]
simplify
[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]
Thus,
[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]
9. Given: f(x) = 2x + 3 and g(x) = 3x + 1
Find: (f • g)(-1)
Answers
Answer: -2
Step-by-step explanation:
f(x) = 2x + 3, g(x) = 3x + 1
(f • g)(-1)=
f(-1)*g(-1)=
(2(-1)+3)*(3(-1)+1)=
(-2+3)(-3+1)=
1*(-2)=-2
Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.
Answers
Answer:
$2304.5
Step-by-step explanation:
The balance after 8years=P(1+R/100)^t
=1000(1+11/100)^8
=$2304.5
Cassie is having a party at a restaurant with 5 of her friends. The group's total bill, in dollars, can be represented as the integer -93.
Part A
Explain the meaning of the quotient −936 in terms of Cassie's situation. Include the value of the quotient.
Part B
Cassie states that −936 is equivalent to −936. Is she correct? Explain your answer.
Answers
The meaning of the quotient −936 in terms of Cassie's situation is that the total the total bill is 5616
It should be noted that Cassie states that −936 is equivalent to −936. This is correct.
How to illustrate the informationIt should be noted that it was stated that Cassie is having a party at a restaurant with 5 of her friends and the group's total bill, in dollars, can be represented as the integer -936.
Therefore, it should be noted that the total bill will be:
= 936 × 6
= 5616
It should be noted that Cassie states that −936 is equivalent to −936. This is correct
Learn more about quotient on:
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Xavier starts 5 feet away from a motion detector. He then walks away from the detector at a rate of 0.5 ft/sec for 4 seconds. He remains still for 2 seconds, and then walks toward the detector at a rate of −2 ft/sec for 3 seconds. How far in feet is Xavier from the motion detector when he finishes his walk?
Answers
Answer:
1 foot away from motion detector
Step-by-step explanation:
Given that:
Initial Position = 5 feets away from detector
Distance moved away = 0.5ft/sec for 4 seconds ; distance moved away = 0.5 * 4 = 2 feets
Total distance away = 5 feets + 2 feets = 7 feets
Distance moved towards motion detector :
-2 ft/sec for 3 seconds ;
Distance = speed * time
Distance moved = (-2ft/sec * 3) = - 6 feets
Hence, distance in feets from motion detector :
7 feets - 6feets = 1 feet away from motion detector
Mini-golf course A has an entrance fee of $8.20, and then a charge of $2.00 per game, Mini-
golf course B has an entrance fee of $4,80, and then a charge of $3.00 per game. Write an
equation to determine x, the number of games needed to be played for both courses to
cost the same
Answers
Answer:
OWO
Step-by-step explanation:
ADD Divide
Nemo wrote two correct variable expressions to represent the phrase "the product
of a number and 7." Which variable expressions could Nemo have written?
Answers
7/2 ez ez ez ez ez ez ez
The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."
We have,
Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":
= 7x
In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).
Both expressions are equivalent and correctly represent "the product of a number and 7."
Thus,
The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."
Learn more about expressions here:
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find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equations. use t as your parameter.)
Answers
To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.
Every linear equation has n - 1 free variables where n is the number of variables.
For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.
First, let y and z be the free variables, we first solve the linear equation for x to get:
x = 2 - y - z
Therefore , the parametric representation of the solution set is given by :
x = 2 - s -t
y = s
z = t
Learn more about The linear Equation at:
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Simplify 6a^2b^-2/8a^-3b^3
Assume a≠0 b≠0
Answers
Answer:
3/4
Step-by-step explanation:
reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables
Answer:
the answer is C
Step-by-step explanation:
edge
need help solving [(-3)*(-2)⁹⁹-(-4)*(-2)⁹⁹]/2⁹⁶. I need a step by step guide too, please.
Answers
Answer:
-8
Step-by-step explanation:
Exponentiation: (-2) ^ 99 = -6.3382530011411×1029
Multiple: -3 * the result of step No. 1 = -3 * (-6.3382530011411×1029 ) = 1.9014759003423×1030
Exponentiation: (-2) ^ 99 = -6.3382530011411×1029
Multiple: -4 * the result of step No. 3 = -4 * (-6.3382530011411×1029 ) = 2.5353012004565×1030
Subtract: the result of step No. 2 - the result of step No. 4 = 1.9014759003423×1030 - 2.5353012004565×1030 = 1.9014759003423×1030 - (2.5353012004565×1030 ) = -6.3382530011411×1029
Exponentiation: 2 ^ 96 = 7.9228162514264×1028
Divide: the result of step No. 5 / the result of step No. 6 = -6.3382530011411×1029 / 7.9228162514264×1028 = The answer -8
please mark me braliny
Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line
Answers
Answer:
The equation in slope-intercept form will be:
y = -2x + 14Step-by-step explanation:
Given
slope = m = -2point (5, 4)We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope of the line and b is the y-intercept
substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'
y = mx+b
4 = -2(5) + b
4 = -10 + b
b = 4+10
b = 14
now substituting m = -2 and b = 14 in the slope-intercept form to get the equation in slope-intercept
y = mx+b
y = -2x + 14
Therefore, the equation in slope-intercept form will be:
y = -2x + 14The sum of two numbers is 10. The difference is 2.
Find the two numbers by creating a system of equations for the situation.
Then, graph each linear equation.
HELP
Answers
Answer:
x+y=10
+-y=2
Step-by-step explanation:
Use elimination to cancel out the y then continue to solve
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y>2x=+12
2x+y≤-5
Answers
Answer:
We have the system:
3y>2x+12
2x+y≤-5
The first step will be to write the inequalities as lines:
y > (2x + 12)/3
y ≤ -5 - 2 x
Now that the equations are written in slope-intercept form, we just need to draw the lines.
In the first case, we have the symbol ">", which means that the line will be a dashed line, and the shaded area will be above that line.
In the second equation we have the symbol "≤", this means that the line will be a solid line, and the shaded area will be below that line.
The graph of both inequalities is shown below. Where the solution to the system is the double shaded area.
Answer:
Thanks to Facundo doing all the work, all I did was plug in the numbers on a graphing calculator.
Step-by-step explanation:
Using the graphing calculator, "y>(2x+12)/3" has points at (-6,0) and (0, 4) and isn't shaded because there isn't a line under the greater than/less than sign.
Using the graphing calculator again, we plug in the inequality "y≤-5-2x". This has points at (-5, 0) and (0, -5) and is shaded because there is a line under the greater than/less than sign. A picture of this is attached.
Again, thank you Facundo. Refer to his explanation to find out how to make the inequalities lines.
Please rate this to give me feedback if this kind of format is good for answering questions.
whats the answer giving brainliest:D lol
Answers
Answer:
D. 60/10
Step-by-step explanation:
Matching: Connect the correct statement with the corresponding picture. There are multiple correct statements per picture.
A) System is consistent and independent
B) System is consistent and dependent
C) System is inconsistent
D) Only one solution to system
E) Infinitely many solutions to system
F) No solutions to system
Answers
Answer:
Figure 1: A , D
Figure 2: B, E
Figure 3: C, F
Hope that helps!
Find the slope of the line
Answers
Answer:
3/4
Step-by-step explanation:
Help needed!!! Please
Answers
Answer:
5
Step-by-step explanation:
distance formula= radical[(x_2 - x_1)^2 + (y_2 - y_1)^2]
= radical[(1-5)^2 + (6-9)^2]
= radical(16+9)
= radical(25)
= 5
Given: AB || DC, AB CD
DA
Prove: ABC CDA
Answers
2. 3. 4. AB =~ CD (given)
5. ^ABC =~ ^CDA (ASA)
Cory's baseball bat weighs 25.64 ounces, and his glove weighs 13.05 ounces. How much does his baseball gear weigh altogether?
Answers
Answer: 38.69
Step-by-step explanation:
Just do 25.64 + 13.05
Answer: 38.69
Step-by-step explanation:
90% is 80% of what number
Answers
Answer:
72%
Step-by-step explanation:
90% of 80 is 72.
Therefor, 90% of 80% is 72%
Find the value of x 105,160,110,105,115
Answers
Answer:
dzxfchgjvhkbjl
Step-by-step explanation:
find the distance between the points (-5,7) and ( -5,-4)
Answers
Answer:
11
Step-by-step explanation: