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gizmo_the_mogwai [7]
3 years ago
9

Part A: Explain how you will solve this pair of equations using substitution. Show all the steps and write the solution. (5 poin

ts)
Part B: On a graph, what point will the lines representing the two equations intersect? Explain your answer. (5 points)

y = 16x + 4
y = 25x − 23
Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

y = 16x + 4

y = 25x - 23              

____________

16x + 4 = 25x - 23

27 = 9x

3=x

__________

y = 25(3) - 23

y = 75 - 23

y = 52

_________

They will intersect at (3, 52)

Step-by-step explanation:

The second step which is bolded I simplified the equation. In the next step I'm going to substitute 3 into the second equation.

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What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?
Lorico [155]

Answer:

y = -6

Step-by-step explanation:

y = mx +  b

-6 = -5(0) + b

b = -6

5 0
3 years ago
How do you simplify (2xy2)3
pantera1 [17]
(2xy^{2})^{3} = (2xy^{2})(2xy^{2})(2xy^{2})
Now, we can just multiply it and obtain the result
(2xy^{2})(2xy^{2})(2xy^{2})=(4x^{2}y^{4})(2xy^{2})=8x^{3}y^{6}

I used law presented on this example
2^{3}*2=2^{3}*2^{1}=2^{3+1}=2^{4}
4 0
3 years ago
Sally has twice as many dimes as nickels. The total value is $3.50 how many nickels and dimes does she have?
Murljashka [212]
D=2n
.05n+.1d=3.5
I multiplied the nickels and dimes by these values because that is their actual monetary value 
.05n=3.5-.1d
multiply everything by 20
n=70-2d
d/2=70-2d
.5d+2d=70 
2.5d=70
d=28 
n=14 
so there are <u>28 dimes and 14 nickels 
</u>
checking this answer 
28 dimes = $2.8
14 nickels = .70
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3 0
3 years ago
Read 2 more answers
Take any three digit number. Reverse its digits and subtract the smaller of the two numbers from the larger. Determine what numb
rjkz [21]

Answer: 11 is the required number that always divides such differences for the following types of numbers.

Step-by-step explanation:

Take any 3 - digit number, say, 325

On reversing its digit it becomes, 523

On subtracting the smaller of the two numbers from the larger,523-325\\\\=198

we can see that 198 is an even number.

take another number say, 629

On reversing its digit, it becomes = 926

On subtracting , we get that

926-629=297

But 297 is not an even number.

But there is one common in both the cases is that both the differences are divisible by 11.

Hence, 11 is the required number that always divides such differences for the following types of numbers.

8 0
3 years ago
Consider the quadratic function: f(x) = -(x+4)(x-1)
Nataliya [291]

Step-by-step explanation:

okay I think you can solve this question

4 0
2 years ago
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