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3 years ago

How does the graph of g(x) = x + 4 compare with the graph of the parent function, f(x) = x?

Mathematics

2 answers:

astra-53 [7]3 years ago

7 0

Answer:

The function moves up 4 units.

Step-by-step explanation:

f(x) = x

g(x) = x + 4

The difference is the addition of 4. When a number is added to x without parentheses, the function moves up.

In this transformation, 4 units are moved up.

You can also use a graphing calculator and test it out to see.

Hope this helped! :)

Mashcka [7]3 years ago

6 0

Answer:

The graph of g(x) is shifted 4 units up.

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Melissa got two puppies, Ben and Sadie.

MA_775_DIABLO [31]

Answer:

x = 4y - 20

Step-by-step explanation:

x = Sadie's weight

y = Ben's weight

x = 4(y - 5)

x = 4y - 20

7 0

3 years ago

Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.

polet [3.4K]

Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

Given:

Before the deposit, her bank account balance is -25.36.
She has deposited $25.36 into her bank account.

Solve:

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

3 0

2 years ago

PLEEEEASE!!!! HELPP!!!

xeze [42]

Answer:

$FJ=18\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

△FEG is similar with △FHJ -----> by AA Similarity Theorem

$\frac{FE}{FH}=\frac{FG}{FJ}$

we have

$FE=HF+EH=12+8=20\ units\\FH=HF=12\ units\\FG=30\ units$

substitute the given values

$\frac{20}{12}=\frac{30}{FJ}\\\\FJ=12(30)/20\\FJ=18\ units$

8 0

2 years ago

The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.

Papessa [141]

Answer:

base(b)=10 and height(h)=6

Step-by-step explanation:

From the question,

base(b)=x feet

height(h)=(x-4) feet

Area(A)=30 square feet

Now,

We know,

Area of triangle(A)=1/2*b*h

or, 30=1/2*x*(x - 4)

or, 30=1/2*x^2 -4x

or, 30*2=x^2 -4x

or, 60=x^2 -4x

or, 0 = x^2 -4x -60

or, 0 = x^2 +6x - 10x -60

or, 0 = x(x + 6) -10(x + 6)

or, 0 = (x+6) (x-10)

Either,

x+6=0. or, x-10=0

or,x= -6. or, x= 10

Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet

Lastly,

Height(h)=X - 4

=10 - 4

=6 feet

8 0

2 years ago

Perform the induced operation (-7x+1)+(- 2x2 + 7x + 8) =

eimsori [14]

Answer:

-2 $x^{2}$ + 9

Step-by-step explanation:

0 $x^{2}$ + (-7x) + 1

+ -2 $x^{2}$ + 7x + 8

-2 $x^{2}$ + 0x + 9

-2 $x^{2}$ + 9

8 0

3 years ago