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3 years ago

In triangle DEF, CG = (x + 5) units and DG = (3x – 2). What is DG? ______units

Mathematics

2 answers:

natulia [17]3 years ago

6 0

<span>In triangle DEF, CG = (x + 5) units and DG = (3x – 2).

What is DG? ___34___units</span>

Juliette [100K]3 years ago

5 0

it is 34 units hope it helps

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Review of the basic stock list for your gift shop indicates that you need to reorder the following items: 12 glass vases @ $8.75

Aloiza [94]

Answer:

$291.00

hope it helps

Step-by-step explanation:

12 x 8.75 = 105

6 x 12.50 = 75

12 x 9.25 = 111

105 + 75 + 11 = 291

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3 years ago

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Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x). Question 8 options: A) (g · ƒ)(x) = –3x2 – 3 B) (g ·

vesna_86 [32]

Answer:

Step-by-step explanation:

We are given the two functions:

$f(x)=x^2+1\text{ and } g(x)=-3$

And we want to find:

$(g\cdot f)(x)$

This is equivalent to:

$=g(x)\cdot f(x)$

Substitute:

$=(-3)\cdot (x^2+1)$

Distribute:

$=-3x^2-3$

Therefore:

$(g\cdot f)(x)=-3x^2-3$

So, our answer is A.

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2 years ago

8m+3n-4m+7n help please

Lilit [14]

$8m+3n-4m+7n =\\
4m+10n$

7 0

2 years ago

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Help me with my work plz.

nordsb [41]

Answer:

(√366 - 3)/24

Step-by-step explanation:

Given the following:

cos∝ = √3/8 and sinβ = √3/3

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Get sin∝

Since cos∝ = √3/8

adj = √3

hyp = 8

opp = √8² - (√3)²

opp = √64 - 3

opp = √61

Recall that sin∝ = opp/hyp

sin∝ = √61/8

Get cosβ

Since sinβ = √3/3

opp = √3

hyp = 3

adj =√3² - (√3)²

adj = √9-3

adj = √6

Recall that cosβ = adj/hyp

cosβ = √6/3

Substitute the gotten values into the formula

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)

Sin(∝-β) = √366/24 - √9/24

Sin(∝-β) = (√366 - 3)/24

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2 years ago

If the marginal revenue (in dollars per unit) for a month is given by MR = −0.5x + 400, what is the total revenue from the produ

Vesna [10]

Given:

Marginal revenue (in dollars per unit) for a month is

$MR=-0.5x+400$

To find:

The total revenue from the production and sale of 30 units.

Solution:

We know that, total revenue is integration of marginal revenue with respect to quantity.

$TR=\int MR dx$

$TR=\int (-0.5x+400) dx$

$TR=-0.5\int x dx+400\int 1 dx$

$TR=-0.5\times \dfrac{x^2}{2}+400x$

Now, substitute x=30 in the equation of Total Revenue (TR).

$TR=-0.5\times \dfrac{30^2}{2}+400(30)$

$TR=-0.5\times \dfrac{900}{2}+12000$

$TR=-225+12000$

$TR=11775$

Therefore, the total revenue from the production and sale of 30 units is $11,775.

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2 years ago