All categories

3 years ago

I need help with 5-9

Mathematics

1 answer:

Goryan [66]3 years ago

3 0

Answer:

5) x = 1, y = -3

6) x = -20, y = 2

7) infinite solutions

8) no solutions

Step-by-step explanation:

y = 5x - 8

y = -6x + 3

5x - 8 = -6x + 3

11x = 11

x = 1

y = 5 - 8

y = -3

2x + 10y = -20

-x + 4y = 28

2x = -20 - 10y

x = - 10 - 5y

-x = 28 - 4y

x = -28 + 4y

-10 - 5y = -28 + 4y

-10 + 28 = 4y + 5y

18 = 9y

2 = y

2x + 20 = -20

2x = -40

x = -20

this has infinite solutions because one equation is a simplified version of the other

this has no solutions because 5 does not equal -5

I can't graph on brainly, hope this helped though

You might be interested in

Pls help. I don’t know how to write the explanation

disa [49]

Answer:

The diagonal is 39.54 in

The baton will fit in the box if it is placed in the direction of the diagonal of the cube since:

39.54 inches > 38 inches

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Given f(x)= -3/4x-6 and its domain: (-8, 0, 4) what is the range of the function?

Yanka [14]

The range of function is { 0, -6, -9}

<h3>Solution:</h3>

Given that the function is:

$f(x) = \frac{-3}{4}x - 6$

Also given its domain is (-8, 0, 4)

To find: Range of the function

Domain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x)

As there are only three input values for "x" that are (-8, 0, 4) we can determine the range by calculating value of f(x) for each of the x

For x = 8:

$f(-8)=\frac{-3}{4} \times(-8)-6=6-6=0$

$f(-8)=0$

For x = 0:

$\begin{array}{l}{f(0)=\frac{-3}{4} \times(0)-6=-6} \\\\ {f(0)=-6}\end{array}$

For x = 4:

$\begin{array}{l}{f(4)=\frac{-3}{4} \times(4)-6=-3-6=-9} \\\\ {f(4)=-9}\end{array}$

Thus the range of function is { 0, -6, -9}

8 0

3 years ago

At a high school, the probability that a student takes a science class and a history class is 0.48. The probability that a stude

Gnom [1K]

Solutions

Probability: number of favourable outcomes
__________________________

total number of possible outcomes

In general, the total number of possible outcomes can be determined by multiplying the number of possible outcomes for each event.

P(A|B)= $\frac{P(A,B)}{P(B)}$

P(A|B) ⇒ P(taking history | taking science) , Therefore A corresponds to taking history, B corresponds to taking science.

P(A,B) will be the probability that a student is taking both of the subjects.

P(B) is the probability that a student is taking the subject science (regardless of whether he/she takes history or not)

Now to solve the problem you plug in the given numbers.

0.48 ÷ 0.82

0.48 is the Probability of (A,B) and 0.82 is the Probability of (B)

= 0.58537

Rounded to 0.59

Answer = (D)

4 0

3 years ago

41 points * please help Write a linear equation - wil give brainlyist to first person

OLga [1]

Answer:

C = 38n + 1750; 15,050

Step-by-step explanation:

We know that for each person, there's a fee of 38. That signifies that the n will be after 38. 1,750 is a one-time fee, so that's by itself. Plug it into the equation to get your first answer. Now, solve for b) by writing C = 38(350) + 1750; C = 15,050

7 0

3 years ago

Read 2 more answers

Use sum identities to derive one double angle identity for cosine

tester [92]

Answer:

cos(2Ф) = cos²(Ф) -sin²(Ф)
cos(2Ф) = 1 -2sin²(Ф)
cos(2Ф) = 2cos²(Ф) -1

Step-by-step explanation:

The angle sum formula for cosine is ...

cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

When we have α = β = Ф, this becomes ...

cos(Ф+Ф) = cos(Ф)cos(Ф) -sin(Ф)sin(Ф)

cos(2Ф) = cos²(Ф) -sin²(Ф)

The "Pythagorean identity" can be used to write this in terms of sine or cosine.

cos(2Ф) = (1 -sin²(Ф)) -sin²(Ф)

cos(2Ф) = 1 -2sin²(Ф)

cos(2Ф) = cos²(Ф) -(1 -cos²(Ф))

cos(2Ф) = 2cos²(Ф) -1

3 0

3 years ago