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Morgarella [4.7K]
3 years ago
11

Pleasee help marking brainlest

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

See below in bold.

Step-by-step explanation:

The cost of what he wants to buy = 4.25 + 0.89 + 10.99

= $16.13

a) He does have enough to buy everything.

b) He has  20 - 16.13 = $3.87 left over.

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Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
Based on the information in the diagram?
muminat

Answer:

We can not use ASA property of congruence.

Step-by-step explanation:

In ΔHML and ΔHMK,

HL ≅ HK [Given]

LM ≅ KM [Given]

HM ≅ HM [Reflexive property]

m∠L ≅ m∠K [Given]

ASA property of congruence,

Angle-Side-Angle property of congruence.

False

SSS property of congruence,

Side-Side-Side property of congruence,

True

SAS property of congruence,

Side-Included Angle-Side property of congruence,

True.

Therefore, we can not use ASA property of congruence.

6 0
3 years ago
Answer this question. (5.6)(1.8)
OverLord2011 [107]
(5.6)(1.8) the answer is 10.08
4 0
2 years ago
Read 2 more answers
Please Help Me !!! Its A Math Question !!What is the domain of the quadratic equation that contains the following points?
Nataly [62]

Answer:

(-infinity, inifinty)

Step-by-step explanation:

the domain should be all real numbers of this quadratic

6 0
2 years ago
Find the point M along the line segment from point
Oksi-84 [34.3K]

Step-by-step explanation:

X-coordinate : (-18+0)/2 = -9.

Y-coordinate = (-2+6)/2 = 2.

Hence M(-9,2).

8 0
3 years ago
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