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Ghella [55]
2 years ago
11

Simultaneous eqations 3x + y = 7 2x + y = 6

Mathematics
1 answer:
bearhunter [10]2 years ago
3 0

Answer:

Hey there!

3x+y=7

2x+y=6

3x+y=7

-2x-y=-6

Add these two equations vertically so the y terms cancel out (this is known as the elimination method)

x=1

3x+y=7

3(1)+y=7

3+y=7

y=4

(x=1, y=4)

Hope this helps :)

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Approximate the real number solution(s) to the polynomial function f(x) = x3 + 2x2 − 5x − 6.
nadya68 [22]
F(1) = (1)^3 + 2(1)^2 - 5(1) - 6 = 1 + 2 - 5 - 6 = -8; x = 1 is not a solution to the polynomial.
f(-1) = (-1)^3 + 2(-1)^2 - 5(-1) - 6 = -1 + 2 + 5 - 6 = 0; x = -1 is a solution to polynomial.
From the options, a or c has x = -1, both has x = , so lets check for x = 3
f(3) = (3)^3 + 2(3)^2 - 5(3) - 6 = 27 + 18 - 15 - 6 = 24; x = 3 is not a solution to the polynomial.
Therefore the solutions to the polynomial are x = -3, x = -1, x = 2
6 0
3 years ago
What is the measure of each base angle of a 140 degree
trasher [3.6K]

Answer:

The two possible cases are

(i) the base angles are each 40° and the vertex angle is 100°,

(ii) the base angles are each 70° and the vertex angle is 40°.

Step-by-step explanation:

3 0
2 years ago
A number y increased by 5 is at least -21
gayaneshka [121]

                - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}

             ❖ A number y increased by 5 is at least -21.

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}

          ❖ First, if you come across the word "increased" it means we

    "increase" a number, or add something to that number, like

y increased by 5 \longmapsto \sf{y+5}

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.

So we have

\longmapsto\sf{y+5\geq -21}}

<em>Solving for y</em>

<em></em>

  •   Subtract 5 on both sides:-

\longmapsto\sf{y\geq -21-5}

\longmapsto\sf{y\geq -26}

So the values of y greater than or equal to -26 will make this inequality true.

<h3>Good luck with your studies.</h3>

 \rule{300}{1}

7 0
1 year ago
Read 2 more answers
Write the following rate as a simplified fraction 76 dogs to 48 cat​
Alja [10]

Answer:

76/48

19/12

19/12

Step-by-step explanation:

19/12.

6 0
3 years ago
Read 2 more answers
ANSWER ASAP!!!!
egoroff_w [7]

Answer:

Step-by-step explanation:

Answer to question 1:

divide what she owed by 4.

Since she owes a quarter or 1/4 of her money. So you would divide by four.

Answer to question 2:

-18

if you multiply -3 by 6 you would get -18.

4 0
3 years ago
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