In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?
Answers
Answer:
a=18
Step-by-step explanation:
The value of a or m is 18 in the linear equation, y = 5x - 2.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
The table represents a linear function.
The data is given in the attached image.
The general equation of the linear function is,
y = ax+b.
Where a is the slope and b is constant.
By using the first and the third points from the table to find the equation of the linear function,
When x = 3 and y = 13,
13 = 3a+b {equation 1}
When x = 5 and y = 23
23 = 5a+b {equation 2}
Solving the system of equation,
we get,
a = 5 and b = -2
So, the equation is,
y = 5x - 2
Now, x = 4
Then y = m = 20 - 2 = 18
Therefore, the value of m is 18.
To learn more about the system of equation;
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Related Questions
Miss bird can make 8 sculptures in 6 months. If she prepared 12 sculptures, how much time would she take
Answers
Answer:
9 months
Step-by-step explanation:
8 sculptures....... 6 months
12 sculptures...... X months
X=12 ×6 :8
X=72 :8
X=9 months
the cube root of 64
Answers
Answer:
Step-by-step explanation:
The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4.
solve the literal equation for x
t=10+7x-qx
Answers
Answer:
Step-by-step explanation:
7x - qx + 10 = t
7x - qx = t - 10
x(7 - q) = t - 10
x = (t - 10)/(7 - q)
decide which type of graph will best represent that the majority of students like pepperoni pizza? Bar graph or pie chart?
Answers
Answer: Im pretty sure its a bar graph.
Step-by-step explanation:
the eye colour of 60 people is recorded below. eyecolour blue grey brown hazel total no of people 12 10 25 13 60 draw a pie chart to represent the above data
draw a pie chart
plz answer fast
Answers
Find the missing exponent.
Answers
Answer: what missing exponent?
Step-by-step explanation:
True or false, 4x-3+x+7 would equal 5x-10
Answers
Answer:
false
Step-by-step explanation:
if you simplify you get 5x+4=5x-10, which is false
Answer:
False
Step-by-step explanation:
Step 1:
4x - 3 + x + 7 = 5x - 10
Step 2:
5x - 3 + 7 = 5x - 10
Answer:
5x + 4 ≠ 5x - 10
Hope This Helps :)
12 more than quotient of a number k and 5
Answers
Answer:
(k/5)+12 represents the question described
The required equation is 12 + k/5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
12 more than quotient of a number k and 5
Converting them into numerical form,
quotient of a number k and 5 = k/5
Therefore 12 more than quotient of a number k and 5 is written as,
12 + k/5
this is the required equation for the given statement.
Thus, the required equation is 12 + k/5.
To learn more about equation:
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Your friend, Jamie, rolled a number cube and got the number 5. On his next turn, he says he won’t be able to roll another 5 because he is only expected to roll a 5 once every six rolls. Is your friend correct? Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
Even though he has a 1/6 chance of rolling it he still has a 16.67% percent chance
Answer:
here's the sample answer!
Jamie is not correct. No matter how many times the cube is rolled, the probability of rolling a 5 will be 1/6.
Step-by-step explanation:
Hi can someone tell me how is the answer 113?? how do i type it in the calculator?? im confused can someone please explain ASAP!!!!!!!!
THANK YOU
Answers
You shouldn't need a calculator for this. The quadratic equation is written in standard form.
ax^2 + bx + c = 0
You substitute a, b, and c into the discriminant formula and solve as shown in the example in the picture you provided.
(-7)^2 - 4(2)(-8)
49 - 4(-16)
49 - (-64)
49 + 64
113
Best of Luck!
15/2 is (greater than, less than, or equal to) the square root of 55?
Answers
First make 15/2 a mixed number
7 1/2
Or in decimal form its 7.5.
Find the square root of 55
Around 7.4
15/2 is greater
Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
How many weeks does it take her to have $250 in her bank account?
O 15 weeks
O 4.6 weeks
O 10 weeks
O 5.4 weeks
Answers
Answer:
10 weeks
Step-by-step explanation:
20x+50=250
First subtract 50 from both sides, which gives you 20x=200
then divide 20 from both sides which gives you x=10
Once you are finished with your practice problems respond to the discussion prompt:
Classify each of the following rational numbers as repeating or terminating decimals.
3/5
1/9
7/10
5/12
Answers
Answer:
terminating
repeating
terminating
repeating
Step-by-step explanation:
3/5 = 0.6 ; terminating
1/9 = 0.1111... ; repeating
7/10 = 0.7 ; terminating
5/12 = 0.41666666... ; repeating
f(x) = x^2 x+1
g(x)= 2x-5
find f(x)-g(x)
Answers
Answer:
Step-by-step explanation:
x^2 + x + 1 - 2x + 5
x^2 - x + 6
Solve the quadratic equation by factoring. 2x^2+5x+3=0
Answers
Answer:
-0.33 repeating
Step-by-step explanation:
2x^2=4x
4x+5x+3=0
combine like terms
9x + 3 = 0
subtract 3 from both sides
9x = -3
divide 9 both sides to get the variable by itself
x = -0.33 repeating
Answer:
[tex]x_1=-\frac{3}{2} \\\\x_2=-1[/tex]
Step-by-step explanation:
the general fromula is
[tex](ax+b)(cx+)d)\\\\=acx^{2} +(ad+bc)x+bd[/tex]
so we need that
[tex]ac=2\\\\ad+bc=5\\\\bd=3[/tex]
for ac = 2
we only have 2 and 1
so let's say
[tex]a=2\\\\c=1[/tex]
so we now have
[tex](2x+b)(x+d)\\\\2x^{2} +(2d+b)x+bd\\\\[/tex]
and for bd = 3
we only have 3 and 1
but we need to
2d +b = 5
so we can have
b=3
and
d=1
so the factorized form is
[tex](2x+3)(x+1)[/tex]
so we come back to
[tex](2x+3)(x+1)=0[/tex]
so here we have two cases
Case 1
[tex](2x+3)=0\\\\2x+3=0\\\\2x=-3\\\\x=-\frac{3}{2}[/tex]
Case 2
[tex](x+1)=0\\\\x+1=0\\\\x=-1[/tex]
so those are our solutions
E varies directly with G. When G is 6, E is 10. Find the value of G when E is 18.
Answers
Answer:
10.8
Step-by-step explanation:
E has increased by a factor of 18/10 = 1.8, so G will increase by that factor. The corresponding value of G is ...
6 × 1.8 = 10.8 = G
__
If you like, you can write an equation relating G to E:
E = kG
10 = k(6)
k = 10/6 = 5/3
Now for E = 18, we have ...
18 = (5/3)G
18(3/5) = G = 10.8
a.no
b.yes
the question is in the picture
Answers
B. yes, it's a function
Solve for x -4x + 3x = 2
Answers
Answer:
No Solution
Step-by-step explanation:
x-4x+3x=2
0x=2
0=2 or x=2/0
Either way, no solution
18- 12y = -22 -7y solve for y
Answers
18+22=40
Now: 5y=40
Get y alone: 5y/5=40/5
Y=8
Answer: y=8
Step-by-step explanation:
To solve for y, you want to use algebraic properties to isolate y.
18-12y = -22-7y [add both sides by 7y]
18-5y=-22 [subtract both sides by 18]
-5y=-40 [divide both sides by -5]
y=8
Now, we know that y=8.
Help me plzz!!!!!!!!!!!!!!!
Answers
hope this helped! have a great day :)
60 and 108 The GCF IS
Answers
Answer:
Greatest common factor (GCF) of 60: 223
Greatest common factor (GCF) of 108: 22333
The Greatest Common Factor (GCF) is: 2 x 2 x 3 = 12
Step-by-step explanation:
To get the Greatest Common Factor (GCF) of 60 and 108 we need to factor each value first and then we choose all the copies of factors and multiply them.
John can was 14of a car in 1 minute. How many cars can he wash in 19 minutes??
Answers
i'm assuming you mean he can wash 14 cars in one minute?
anyway the answer would be 266 but i'm pretty sure that's impossible. sorry if this isn't what you meant; try rephrasing the question :)
How much salt is in a mixture containing 10 gallons of an 11% salt solution and 6 gallons of a 7% salt solution?
I think I can solve it but forming the equation is where I have problems.
Answers
Answer:
Step-by-step explanation:
There really isn't an equation because there isn't an unknown. If we create a table, the "equation" that you are talking about will be come apparent. Let's call the 2 solutions Sol 1 and Sol 2:
Gallons of solution * % salt = Gallons of salt
Sol 1
Sol 2
If we fill in this table according to the info we are given, we have 10 gallons of the 11% solution, and 6 gallons of the 7% solution, so
Gallons of solution * % salt = Gallons of salt
Sol 1 10 .11 = 1.1 gallons of salt
Sol 2 6 .07 = .42 gallons of salt
We multiply the Gallons of solution by the % salt to get the gallons of salt. There are 1.1 gallons of salt in solution 1 and .42 gallons of salt in solution 2, so in the mixture (which is 16 gallons) there is 1.1 + .42 gallons of salt, which is 1.52 gallons of salt.
5-3x(-2)+[5-3x(-3)+1]
Answers
Answer:
15x + 11
Step-by-step explanation:
h(x) = x2 + 1 k(x) = x – 2 (h – k)(3) =
Answers
Answer:
3x^2 - 3x - 3
Step-by-step explanation:
Plug in the equations in place of the variables
First, subtract k(x) from h(x)
x^2+1-x-2 (combine like terms)
x^2 - x -1
Next, multiply the new equation by 3
3(x^2 - x - 1) Use distributive property
= 3x^2 - 3x - 3
The ratio of boys to girls in Mr. Jordan's soccer team is the same as the ratio of boys to girls on Ms. Grolin's soccer team. There are 12 boys and 4 girls in Mr. Jordan's team. There are 9 boys on Ms. Grolin's team. How many girls are on Ms. Grolin's team? A. 2 B.3 C.4 D.6
Answers
Answer:
B
Step-by-step explanation:
Ms. Jordan's girls are divided by 3 than the girls. 12 ÷ 3 = 4
Same with Ms. Grolin. 9 ÷ 3 = 3. The answer is B.
PLEASE HELP ALGEBRA 2!!
Answers
Answer:
11) 2nd option
12)2nd option
13)3rd option
mason owns A trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of one dollar per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 mph and masons total expenses for the driver, gas in truck maintenance were $258. write a system of equations that could be used to determine the number of hours to drive a word and the number of miles the truck drove. Define the variables that you used to write the system.
Answers
Answer:
Step-by-step explanation:
13h+1m=258
30m=h
can someone actually help and not tell me to use google. thanks.
Answers
Answer:
i deserved these
Step-by-step explanation:
Need help with this 8/4+3/4=?
Answers
Answer:
11/4 or 2 3/4
Step-by-step explanation:
add numerators keep the same denominator
Answer: 2.75
8/4+3/4
this will give you 2.75 hope this helped
(let me know if it did)