please help me, i'll give you brainlyist
20 points (maths)

The solution will be the intersection points thus options A (1,-3) and B (-2,0) will be correct.

The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.

For example plot of y = x³ ,y = sinx.

The solution will be the intersection points of both functions.

At the intersection point,

x² - 4 = -x - 2

x² + x - 2 = 0

x² + 2x - x - 2 = 0

x(x + 2) - (x + 2) = 0

(x - 1)(x + 2) = 0

x = 1,-2

At x = 1

y = -1 - 2 = -3 so first intersection is (1,-3)

At x = -2

y = -(-2) - 2 = 0 so second intersection is (-2,0)

Hence "The solution of the given system of equations is (1,-3) and (-2,0)".

To learn more about graphs,

brainly.com/question/24861666

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Answer:

20

Step-by-step explanation:

23 would be the answer but its rounding to the nearest whole

Answer:

x^2 + 4x + 3

Step-by-step explanation:

divide everything by 3

Answer:

Length of Third Side = 12 m

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this: a² + b² = c² or c² - b² = a² in which a and b are legs, and c is the hypotenuse. We use the second equation to solve this: 15² - 9² = a² or 225 - 81 = a². This simplifies to 144 = a². To find a specifically, find the square root of 144, 12.

Hope it helps!

Answer:

[tex]\sqrt{64\cdot \:9}[/tex]

[tex]=\sqrt{576}[/tex]

[tex]=\sqrt{24^2}[/tex]

[tex]=24[/tex]

Answer:

[tex]200\pi[/tex] or 628.3185

Step-by-step explanation:

Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].

Answer:

g has an average rate of change of zero at the intervals [-5,4] and [-2,2]

Step-by-step explanation:

When we talk of the average rate of change, we mean the change in y values divided by the change in x values

Once the change in y-values is zero, then over that interval, the average rate of change is zero

at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6

As we can see here, within the interval [-5,4]; the average rate of change is 0

This same pattern is repetitive at points or ranges where we have same values for g(t)

such as;

[-2,2]

Answer:

x = 38.05

Step-by-step explanation:

Using the Pythagoras theorem to find x

x is the hypotenuse

The other sides are opposite and adjacent

x² = 30²+25²

x² = 900+625

x² = 1525

x = √1525

x = 39.05

Answer:

20%

Step-by-step explanation:

c= 50+75t

it is less expensive to purchase the $750 software

Answer:

y = 3/5x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.

The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.

Therefore, your answer in slope-intercept form is y = 3/5x + 5.

Answer:

18

Step-by-step explanation:

Rounding it off to nearest 10th place . Since the decimal value is 5 it will round off to +1 , That becomes , 17 + 1 = 18

The absolute value of 17.5 is 17.5

Answer:

The first one

Step-by-step explanation:

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Answer:

she slept for 3 hours

Step-by-step explanation:

its actually simple so we know that April slept for 9 hours bug Evelyn only slept 2/3 of 9 hours and if you add 1/3 and 2/3 you get 3/3 which equals a whole so all you have to do is devide 9 into 3 and you get 3 parts with 3 now you add 3 and 3 together and that equals 6 and that was two parts you added which is equaled to 2/3 so all you have to do now is subtract 9-6 and you leave with three which is 1/3 so we come to the final answer she slept for three hours

sorry for such a long explanation

Answer:

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4. If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

70

Step-by-step explanation:

70+4= 74

Find the number in the spot (tens place/7) go next door see what you go (4) Five or more you raise the score, four or less you let it rest.

4 is four or less so you let it rest by replacing it with a zero.

Answer= 70

Answer:

There are approximately 82 inches

Step-by-step explanation:

Here, we want to calculate the circumference of the wheel

To do this, we are going to use the formula for the circumference of a circle

C = 2 * pi * r

C = 2 * pi * 13

= 26 * pi

C = 81.7 inches which is approximately 82 inches

Answer:

Area of a rectangulor pentagon =(1/2)(apothem)(perimeter)

apothem=6.5cm

perimeter=6.5

Step-by-step explanation:

Answer:He has 74 baseball cards

Step-by-step explanation:

He has 38 baseball cards left, and since his dog ate half of it he must have had double the amount of cards. So 38 + 38 . This equals to 74.

Answer:3

Step-by-step explanation:

Answer:

$113

Step-by-step explanation:

$678 / 6 =

$113 each

Hope that helps!

Answer:

46

Step-by-step explanation:

Answer:

D is correct

Step-by-step explanation:

Answer:

exact form -108/5, decimal form -21.6, and mixed number form -21 and 3/4

Given:

The inequality is

[tex]-2x+2>3x-8[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]-2x+2>3x-8[/tex]

Isolate the variables terms on the left side.

[tex]-2x-3x>-2-8[/tex]

[tex]-5x>-10[/tex]

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

[tex]\dfrac{-5x}{-5}<\dfrac{-10}{-5}[/tex]

[tex]x<2[/tex]

Therefore, the correct option is D.

Answer:

23.6 or 1 4 × π × 8 = 2 π  if its not right let me know

Step-by-step explanation:

Answer:

44.7

Step-by-step explanation:

Find the mean of the data set shown below. Round to the nearest tenth, if necessary.

This Week's High Temperatures (°F)

29, 38, 45, 31, 50, 58, 62

The formula for the Mean of a given set of data is

= Sum of terms/ Number of terms

Number of terms = 7

Hence,

Mean = 29+ 38+ 45+ 31+ 50+ 58+ 62/7

Mean = 44.714285714286

Approximately to the nearest tenth= 44.7