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2 years ago

Solve. −3.5=−4.6x−5.1 Enter your answer as a fraction in simplest form in the box.

Mathematics

1 answer:

Law Incorporation [45]2 years ago

7 0

Answer:

x = 8/23

Step-by-step explanation:

Adding 3.5 to each side

-3.5 + 3.5 = -4.6x - 5.1 + 3.5
-4.6x - 1.6 = 0

Adding 4.6x to each side

-4.6x - 1.6 + 4.6x = 0 + 4.6x
4.6x = -1.6

Dividing each side by 4.6

4.6x/4.6 = -1.6/4.6
x = 8/23

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Can anyone help me do this

sergij07 [2.7K]

Answer:

Step-by-step explanation:

none of the others make sense

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2 years ago

Which definite integral approximation formula is this: the integral from a to b of f(x)dx ≈ (b-a)/n * [<img src="https://tex.z-d

Stella [2.4K]

The answer is most likely A.

The integration interval [a, b] is split up into n subintervals of equal length (so each subinterval has width (b - a)/n, same as the coefficient of the sum of y terms) and approximated by the area of n rectangles with base (b - a)/n and height y.

n subintervals require n + 1 points, with

x₀ = a

x₁ = a + (b - a)/n

x₂ = a + 2(b - a)/n

and so on up to the last point x = b. The right endpoints are x₁, x₂, … etc. and the height of each rectangle are the corresponding y 's at these endpoints. Then you get the formula as given in the photo.

• "Average rate of change" isn't really relevant here. The AROC of a function G(x) continuous* over an interval [a, b] is equal to the slope of the secant line through x = a and x = b, i.e. the value of the difference quotient

(G(b) - G(a) ) / (b - a)

If G(x) happens to be the antiderivative of a function g(x), then this is the same as the average value of g(x) on the same interval,

$g_{\rm ave}=\dfrac{G(b)-G(a)}{b-a}=\dfrac1{b-a}\displaystyle\int_a^b g(x)\,\mathrm dx$

(* I'm actually not totally sure that continuity is necessary for the AROC to exist; I've asked this question before without getting a particularly satisfying answer.)

• "Trapezoidal rule" doesn't apply here. Split up [a, b] into n subintervals of equal width (b - a)/n. Over the first subinterval, the area of a trapezoid with "bases" y₀ and y₁ and "height" (b - a)/n is

(y₀ + y₁) (b - a)/n

but y₀ is clearly missing in the sum, and also the next term in the sum would be

(y₁ + y₂) (b - a)/n

the sum of these two areas would reduce to

(b - a)/n = (y₀ + 2 y₁ + y₂)

which would mean all the terms in-between would need to be doubled as well to get

$\displaystyle\int_a^b f(x)\,\mathrm dx\approx\frac{b-a}n\left(y_0+2y_1+2y_2+\cdots+2y_{n-1}+y_n\right)$

7 0

3 years ago

What's -8.2 x 10 to the fifth power? Please explain your answer. Thank you!

Stolb23 [73]

First lets find -8.2 x 10 = -82 know we find 82^5 which is 82*82*82*82*82

-82*-82=6724 and then 6724*-82= -551368 and then -551368*-82 =45212176 and then 45212176*-82= -3707398432 and finally -3707398432 is our answer i checked the calc to after i did the hard math that took me forever i had some help from the calc and i got this hopefully this helps

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3 years ago

While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon. Which

liq [111]

It seems most likely that ...

... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

_____

In the real world, it seems probable that Samantha will be offered the choice of using the coupon or the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.

The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.

6 0

3 years ago

Read 2 more answers

Wht is 39% of 1,200? I can't understand it

Gennadij [26K]

Something percent of a number must be smaller than the number.
And also, 39% of a number is equal to 39/100 multiplied by the number.

Thus:
39/100 * 1200
39/1 * 12
468

8 0

3 years ago

Read 2 more answers