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Sedbober [7]
3 years ago
7

Describe in words how you would solve the linear system y = 3x + 1 and y = - 2x + 3.

Mathematics
1 answer:
Sergio [31]3 years ago
5 0
We are using substitution to solve this problem.

y=3x+1
y=-2x+3
Make these equal each other: 3x+1=-2x+3
Add 2x to both sides: 3x+2x+1=-2x+2x+3
= 5x+1=3
Subtract 1 from both sides; 5x+1-1=3-1
= 5x=2
Divide 5 from both sides: 5x/5=2/5
X= 2/5
Plug X into one of the equations: y=3(2/5) +1
y=11/5(2.2)

(2/5,11/5)
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Simplify the polynomial equation (5x^2 - 7x +10) +(7x^2 - 11) +(-x^2 +7x- 2)<br>​
lorasvet [3.4K]

Answer:

11x^(2) - 3

Step-by-step explanation:

Remove the parentheses: (a)=a

=5x^2-7x+10+7x^2-11-x^2+7x-2

Group the like terms:

=5x^2+7x^2-x^2-7x+7x+10-11-2

Add the similar elements : 5x^2+7x^2-x^2=11x^2

=11x^2-7x+7x+10-11-2

Continue to add similar elements: -7x+7x=0

=11x^2+10-11-2

Then add or subtract the numbers:  10-11-2=-3

<u>FINAL ANSWER</u>:= <em>11x^(2)-3</em>

3 0
4 years ago
47. Calculate the value of c in the triangle below.
TiliK225 [7]

Using the Pythagorean theorem

C = sqrt( 9^2 + 40^2)

C = sqrr(81 + 1600)

C = sqrt(1681)

C = 41 cm

5 0
3 years ago
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the volume of a cone is 62.28 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the
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Step-by-step explanation:

4 0
2 years ago
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A lasagna recipe uses 1 2/4 teaspoon basil 1/4 teaspoon pepper and 4 teaspoons parsley if you double the recipe how many teaspoo
Nimfa-mama [501]

Answer:

11 1/2 teaspoons

Step-by-step explanation:

1 2/4 basil= 1.5 tsp If you multiply this by two to double the recipe you will have 3 teaspoons of basil.

1/4*2= 2/4 pepper

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After you double everything you need to add them together:

3+2/4+8

Which brings you to the final answer of 11 2/4 teaspoons or if you simplify it.... 11 1/2 teaspoons

6 0
3 years ago
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