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2 years ago

Write the equation of the line in fully simplified slope-intercept form.

Mathematics

1 answer:

kodGreya [7K]2 years ago

4 0

Answer:

y = -x - 8

Step-by-step explanation:

Slope is -1 and y intercept is -8

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How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between

-BARSIC- [3]

The Fundamental Theorem of Calculus regarding geometry states that
$\int\limits^b_a g{(x)} \, dx = F(b)-F(a)$

Where F is the indefinite integral of $g(x)$

The first step is to integrate $g(x)$
$\int\ {4x} \, dx = \frac{4x^{1+1} }{1+1} = \frac{4x^{2} }{2} =2 x^{2}$

Then substitute the value of $b$ and $a=1$ into $2x^{2}$

$[2 (b)^{2}]-[2 (1)^{2}] = 240$
$2b^{2} -2=240$
$2b^{2}=240+2$
$2b^{2}=242$
$b^{2}= \frac{242}{2}$
$b^{2}=121$
$b=11$

Hence the limit of the area under $g(x)$ is between $a=1$ and $b=11$

6 0

3 years ago

1. Write a ratio and a percent for the shaded area. (1 point)

Kipish [7]

Answer:

3/10, 30%

Step-by-step explanation:

the shaded region is 9/30 which is equivilent to 3/10 and 3/10is 30 percent.

hope this helps!

8 0

3 years ago

You randomly choose one marble from the jar. Find the theoretical probability of the event.

zysi [14]

Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

4 0

2 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

4 0

3 years ago

Read 2 more answers

lance bought a square postage stamp to a mail a card to his cousin. if the stamp has 4 square centimeters.what was the dimension

Lubov Fominskaja [6]

The dimension of one side of the stamp was 2 centimeters

Step-by-step explanation:

The formula of the area of any square is A = l², where l is the

length of the side of the square

lance bought a square postage stamp to a mail a card to his cousin

∵ The stamp has 4 square centimeters

∴ The area of the stamp = 4 cm²

∵ The stamp shaped a square

∵ The formula of the area of the square is A = l²

- Equate the formula of the area of the square by the area of the stamp

∴ l² = 4

- Take √ for both sides to find l

∴ $l=\sqrt{4}$

∴ l = 2 cm

The dimension of one side of the stamp was 2 centimeters

Learn more:

You can learn more about the area of the shapes in brainly.com/question/10677255

#LearnwithBrainly

5 0

3 years ago