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2 years ago

Which of the following functions is graphed below?

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

It is a piece-wise function, so you will have two equations and two different domains. x squared plus 3 represents the sort of parabola and x plus 4 represents a linear function. There is a reason why the point on the parabola is open when x is 4. That open sign means that the x value doesn't work for the equation. Therefore, x cannot be 4 for the parabola and the domain for it is x is less than 4. The point on the linear function is closed to show that 4 for x does work for the equation and graph. For the linear function, the domain for it is x is greater or equal to 4. Hope this helps!

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If Chung's go-kart can travel 48 miles on 1 gallon of gas, how far can his go-kart travel on 1.15 gallons of gas?

Nataliya [291]

So to get the answer you multiply 48 by 1.15 and you get 55.2
Chung's go-kart can travel 55.2 miles on 1.15 gallons of gas.

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2 years ago

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Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are

ira [324]

Given: AD ≅ BC and AD ∥ BC

Prove: ABCD is a parallelogram.

Statements Reasons

1. AD ≅ BC; AD ∥ BC 1. given

2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles

3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent

4. AC ≅ AC 4. reflexive property

5. △CAD ≅ △ACB 5. SAS congruency theorem

6. AB ≅ CD 6. Corresponding Parts of Congruent triangles are Congruent (CPCTC)

7. ABCD is a parallelogram 7. parallelogram side theorem

5 0

2 years ago

Read 2 more answers

What is the result of substituting for y in the bottom equation?

zhenek [66]

Answer:

(A) $x + 3= x^2 + 2x-4$

Step-by-step explanation:

Given the equations:

$y = x + 3\\y= x^2 + 2x-4$

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into $y=x^2 + 2x-4$ gives us:

$x + 3= x^2 + 2x-4$

The correct option is A.

6 0

2 years ago

gavmur [86]

Answer:

m∠QPM=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠NPQ=m∠MPN+m∠MPQ

we have

m∠NPQ=(9x-25)°

m∠MPN=(4x+12)°

m∠MPQ=(3x-5)°

substitute the given values and solve for x

(9x-25)°=(4x+12)°+(3x-5)°

(9x-25)°=(7x+7)°

9x-7x=25+7

2x=32

x=16

Find the measure of angle QPM

Remember that

m∠QPM=m∠MPQ

m∠MPQ=(3x-5)°

substitute the value of x

m∠MPQ=(3(16)-5)=43°

therefore

m∠QPM=43°

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2 years ago

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional

yaroslaw [1]

Answer:

The statement provided is True.

Step-by-step explanation:

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Here,

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7 0

1 year ago