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Allushta [10]
3 years ago
6

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total

cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1. Which explains the error that Lila made? Lila made in error in Step 1 by reversing the ordered pairs. Lila made an error in Step 2 by not using the slope formula. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair. Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
Mathematics
2 answers:
Elena L [17]3 years ago
5 0

Answer:

The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Hope this helps!

Stay safe at home :)

(those of you doing edge hang in there!)

Levart [38]3 years ago
5 0

Answer:

C

Step-by-step explanation:

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sum means to add

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3 years ago
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Given the expression: 5x^10-80x^2 Part A: Rewrite the expression by factoring out the greatest common factor
Jlenok [28]

Answer:

A) 5x²(x^(8) - 16)

B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

Step-by-step explanation:

We are given the expression;

5x^(10) - 80x²

A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.

So, we have;

5x²(x^(8) - 16)

B) The complete factorization of 5x²(x^(8) - 16) will be;

5x²[(x⁴ + √16) • (x⁴ - √16)]

Now, (x⁴ - √16)] can be broken than further into;

(x² + ∜16) • (x² - ∜16)

Also, (x² - ∜16) can be broken down into;

[(x + (8√16) • (x - (8√16))

So, our complete factorization gives us;

5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

5 0
3 years ago
Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)
OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of sides are

AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}

BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}

CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}

AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Slope of AB is

m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}

Slope of BC is

m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

8 0
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tia_tia [17]

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Step-by-step explanation:

y = mx + b

in this case:

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