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kondaur [170]
3 years ago
12

Solve the system of equations -4x+2y=-6 and -x+8y=21 by combining the equations.

Mathematics
2 answers:
jeka57 [31]3 years ago
4 0
The answer is x equals 3 and y equals 3
Alik [6]3 years ago
3 0

Answer:

x=3 and y=3

Step-by-step explanation:

−x+8y=21for x:

−x+8y=21

−x+8y+−8y=21+−8y(Add -8y to both sides)

−x=−8y+21

−x

−1

=

−8y+21

−1

(Divide both sides by -1)

x=8y−21

Step: Substitute8y−21forxin−4x+2y=−6:

−4x+2y=−6

−4(8y−21)+2y=−6

−30y+84=−6(Simplify both sides of the equation)

−30y+84+−84=−6+−84(Add -84 to both sides)

−30y=−90

−30y

−30

=

−90

−30

(Divide both sides by -30)

y=3

Step: Substitute3foryinx=8y−21:

x=8y−21

x=(8)(3)−21

x=3(Simplify both sides of the equation)

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19) In the xy-plane, what is the y-intercept of the graph of the equation<br> y=3(x-1)(x+2)?
Dahasolnce [82]

Answer:

- 6

Step-by-step explanation:

Given

y = 3(x - 1)(x + 2) ← expand factors using FOIL

  = 3(x² + x - 2) ← distribute by 3

  = 3x² + 3x - 6

To find the y- intercept let x = 0, thus

y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6

Thus y- intercept = - 6 ⇒ (0, - 6 )

3 0
3 years ago
Solving Exponential Equations (lacking a common base)<br> 31^d=38
Bond [772]

Answer:

d = log 38/log31

d = 1.06

Step-by-step explanation:

31 ^ d = 38

Take log of both sides since the exponential equation have different base (always)

d log 31 = log 38

d = log 38 / log 31

d = 1.58 / 1.491

d = 1.06.

We can actually check to see if this is correct.

Substituting d = 1.06

31^ 1.06 = 38.092

(You see, that's approximately correct)

Keep learning, maths is fun!

8 0
3 years ago
The product of two consecutive odd integers is 143 find their sum
Alexus [3.1K]
11*13=143
11+13=24
The sum of the two consecutive odd integers is 24
5 0
2 years ago
Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record
steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

6 0
2 years ago
Find each angle measure. ( Diagrams are not drawn to scale.)​
irina1246 [14]

Answer:

1-141

2-39

3-141

Step-by-step explanation:

180-39=141

1 and 3 look the same size and 2 looks the same as c (39°) so you jsut fill in for the letters

I'm pretty sure this is right

4 0
3 years ago
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