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Dennis_Churaev [7]
4 years ago
8

Consider the following pair of equations:

Mathematics
1 answer:
Paha777 [63]4 years ago
3 0
X-1=3x+3----plug the second equation in for x
-4=2x-------get the x on one side by subtracting x and 3
x=-2------divide by 2
y=x-1
y=-3------plug in x

(-2,-3)
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1. Solve 2(x + 1)^2 = 18. What are the x-intercepts?
ddd [48]

Answer:

The x-intercepts are (2,0) and (-4,0).

Step-by-step explanation:

We are given the equation

2(x+1)^2=18

Begin by dividing both sides of the equation by 2:

(x+1)^2=9

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

x+1=\pm3

Split the equation into two based on the two solutions:

x+1=-3

x+1=3

Solve each equation by subtracting 1 from both sides:

x=-4\\ x=2

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).

8 0
3 years ago
Can someone please help me
Genrish500 [490]

Answer:

c

Step-by-step explanation:

come on ! you can literally see that in the chart.

how many parts of the gray 3/8 are covered by the gray 1/4 ?

2 parts = 2/8 are clearly covered by 1/4.

2/8 is what part of 3/8 ?

it is the same question as "2 is what part of 3" ?

is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.

is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.

is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !

is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.

once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.

8 0
3 years ago
A friend is in 5th grade math and asks you to explain exponents with example. What do you say?
Vesnalui [34]

Answer:

If my friend is in 5th grade and they need an example on exponents I would show them something like this 7 to the 3 power would be equal to 7 times 7 times 7 which also equals 343 or 4 to the 4th power would be equal to 4 times 4 times 4 times 4 which equals 256

Step-by-step explanation:

This is a simpiler way to show a younger student how to figure out exponents also. Have a great day :D  

If you need help me and my older brother both share this account.

4 0
4 years ago
A triangular bandana has an area of 34 square inches. The height of the triangle is 8 1/2 inches. Enter and solve an equation to
dybincka [34]

Answer:

8 inches

Step-by-step explanation:

Use the formula for <u>area of a triangle</u>:

A = bh/2

"A" for area

"b" for base

"h" for height

What we know:

A = 34in²

h = 8 1/2 in

<u>Substitute</u> the known values into the formula

A = bh/2

(34in²) = b(8 1/2 in)/2

<u>Isolate "b"</u> to solve for the length of the base

(34in²) * 2 = b(8 1/2 in)/2 * 2              Multiply both sides by 2.

(68in²) = b(8 1/2 in)              

(68in²)/(8 1/2 in) = b(8 1/2 in)/(8 1/2 in)      Divide both sides by (8 2/1 in)

(68in²)/(8 1/2 in) = b         Simplify and move variable to left

b = (68in²)/(8 1/2 in)

How to divide a mixed fraction:

b = \frac{68in^{2}}{8\frac{1}{2} in}

b = \frac{68in^{2}}{\frac{17}{2} in}            Convert to improper fraction

b = 68in^{2} / \frac{17in}{2}           Reformat division

b = 68in^{2} * \frac{2}{17in}           Flip the second fraction

b = \frac{68in^{2} * 2}{17in}            Combine into numerator

b = 8in              Length of base

Therefore the base is 8 inches.

7 0
3 years ago
Which statements are true about the median of a data set? Check all that apply. The median isn’t affected much by one outlier. T
sasho [114]
These are all the right answers:

The median isn’t affected much by one outlier.

The median is the number in the middle of an ordered set of data.

To find the median of an even data set, find the average of the two middle numbers.

Hope this helped :)
7 0
4 years ago
Read 2 more answers
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