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Anton [14]
3 years ago
14

Carlos has scored 83, 81, and 73 on his previous three tests. What score does he need on his next test so that his average (mean

) is 83 ?
Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

95

Step-by-step explanation:

let x be his mark in the fourth test, then

mean = \frac{83+81+73+x}{4} = 83 ( multiply both sides by 4 )

83 + 81 + 73 + x = 332

237 + x = 332 ( subtract 237 from both sides )

x = 95


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The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC
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That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
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Now BC=EF/x
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BC= 14
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3 years ago
Find the inverse of the following function. f(x) =^3squareroot x + 12<br><br> I NEED AN ANSWER NOWW
makkiz [27]

Answer:

(x - 12)²/9

Step-by-step explanation:

y = 3sqr(x) + 12

Make x the subject:

y - 12 = 3sqrt(x)

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Square both sides

(y - 12)²/9 = x

Interswitch variables

inverse function is:

(x - 12)²/9

If f(x) = (x + 12)^⅓

Then,

y = (x + 12)⅓

y³ = x + 12

y³ - 12 = x

f inverse:

x³ - 12

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Based on the line of best fit, how much money would a company most likely spend on advertising if the company's yearly revenue w
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Step-by-step explanation:

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In figure AB and CD bisect each other at O. State the 3 pairs of equal parts in ∆AOC and ∆BOD. Is ∆AOC ≅ ∆BOD? Give reasons
GuDViN [60]

Answer:

SEE EXPLANATION

Step-by-step explanation:

In\:\triangle AOC \:\&\:\triangle BOD

AO \cong OB.... (given)

\angle AOC \cong\angle BOD

(vertical \: \angle s)

CO \cong OD.... (given)

\therefore \triangle AOC \:\cong\:\triangle BOD

(SAS \: postulate)

So, the 3 pairs of equal parts in ∆AOC and ∆BOD are:

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3 years ago
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laila [671]

Answer:

(4, -2)

Step-by-step explanation:

Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;

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R' = (4, -2)

Hence the coordinate point of R' on the plane is (4, -2)

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