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3 years ago

Need Assistance With This

Mathematics

1 answer:

Kazeer [188]3 years ago

6 0

Answer:

Step-by-step explanation:

2/3x=10

You divide it and then you get your answer.

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Use the substitution method to solve. y=5−3x 5x−4y=−3

Vadim26 [7]

Well just substitute y (the first equation) into the second equation.
So
5x-4(5-3x)=-3
Then just solve the equation from there.
5x-20+12x=-3
17x=17
x=1
and if you need y, y=2

6 0

3 years ago

Number 8 and 9 pls, if u answer u get brainlist rank!

mylen [45]

Answer:

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is y = 7x

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is y = x + 12

Hope this helps!

8 0

3 years ago

Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

x= 5 or x = -7

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

3 years ago

About 60% of people in North America know how to swim. Use that statistic to answer the questions below.

kenny6666 [7]

Answer:

(Picture)

Step-by-step explanation:

To find 60% of people you just multiply .6 with the number you are trying to find 60% of. Like 100. 100 times .6 = 60.

8 0

3 years ago

Read 2 more answers

Becky spent 3/4 of an hour practicing the piano.She spent 1/2 of that time practicing her recital piece. What fractional part of

Ber [7]

Answer:

3/8

Step-by-step explanation:

First,

convert 3/4 of an hour to minutes;

If 1 hr = 60 mins

then 3/4 of 1hr = $\frac{3}{4} *60\\ \\ =45 mins.Next, If 1/2 of 3/4 was spent practicing recital piece, it means that it is half of 45 mins;1/2 *45 = 22.5 minsLastly, convert the 22.5 mins into a fraction of an hour;22.5/60 = [tex]\frac{3}{8}$

3 0

3 years ago

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Need Assistance With This