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2 years ago

Solve the equation 5x + 3 = -3x + 99 algebraically. Answer as a reduced fraction only.

Mathematics

1 answer:

abruzzese [7]2 years ago

7 0

Answer:

Step-by-step explanation:

add 3x both sides

8x +3 = 99

subtract 3 on both sides

8x = 96

divide by 8

x = 96/8 = 12

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The square root of 12 is between A.) 3 and 4 B.) 4 and 5 C.) 5 and 6 D.) 6 and 7

natita [175]

-Hai There!

-Your answer to this question is letter A.

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3 years ago

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Use left-endpoint approximation to estimate the area under the curve of f(x)=x^3 on [1,3]. Use n = 4. Using the same function us

natulia [17]

Split up the interval [1, 3] into 4 intervals of equal length,

$\Delta x = \dfrac{3 - 1}4 = \dfrac12$

The left endpoint of the $i$ -th interval is

$\ell_i = 1 + \dfrac i2$

The area under the curve is then approximately

$\displaystyle \int_1^3 f(x) \, dx \approx \sum_{i=1}^4 f(\ell_i)\Delta x \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac i2\right)^3 \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac{3i}2 + \frac{3i^2}4 + \frac{i^3}8\right) = \boxed{27}$

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1 year ago

Two complementary angles have measures of `s` and `t`. If `t` is 9 less than twice `s`, what are the measures of each angle?

Sophie [7]

Answer:

s measures 33° and t measures 57°.

Step-by-step explanation:

Since the two angles s and t are complementary, this implies that:

$m\angle s+m\angle t=90$

We are given that t is 9 less than twice s. Hence:

$m\angle t=2m\angle s-9$

We can substitute this into the first equation:

$m\angle s+(2m\angle s-9)=90$

Solve for s. Combine like terms:

$3m\angle s-9=90$

Adding 9 to both sides yields:

$3m\angle s=99$

And dividing both sides by 3 gives us that:

$m\angle s=33^\circ$

Returning to our second equation, we have:

$m\angle t=2m\angle s-9$

So:

$m\angle t=2(33)-9=66-9=57^\circ$

So, s measures 33° and t measures 57°.

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3 years ago

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Simplify 3r(4r-5s)+2r(-6r-9s)

katovenus [111]

Answer:

-33rs

Step-by-step explanation:

First, distribute in the first part of the equation.

3r(4r-5s)=12r-15rs

Now, distribute in the first part of the equation.

2r(-6r-9s)=-12r-18rs

Combine this together.

12r-15sr-12r-18rs

Combine like terms. (12r and -12r will cancel out to 0.)

-33rs

Hope this helps! Have a wonderful day ^^

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3 years ago

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What is the surface area of the triangular prism?

Inessa [10]

Answer: A. 370 cm2

Step by Step explanation:

10x15=150 The big rectangle

15x6=90x2=180 The small rectangles

20x2=40 the triangles

Add all up 150+180+40=370

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4 years ago