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3 years ago

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If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the tot

al number of marshmallows is given by the expression 5(x + 12). Identify an equivalent expression.
A. x + 12

B. 2x − 60

C. 5x + 60

D. 2x − 60

1 answer:

aev [14]3 years ago

8 0

Answer:

The expression that is equivalent to the given expression is:

5x+60

Step-by-step explanation:

It is given that:

if you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows.

so, let x be the initial number of marshmallows in each bag and now 12 are added to each bag this means that the number of marshmallows in each bag is:

x+12

Hence, total number of marshmallows in 5 bags is:

5(x+12)=5×x+5×12

5(x+12)=5x+60

Hence, the answer is:

5x+60

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How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x

VARVARA [1.3K]

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

$f(x) = 2^x$

$g(x) = 2^x - 4$

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

8 0

2 years ago

Simplify the expression: show all ur steps/ wrk PLEASE,1+2x3-18/3+(5(2+2)]

Maurinko [17]

Ok let's do this*pops knuckles*

let's add the first side

$1 + 2 \times 3 - 18$
order of operations demands that we do multiplication first(P.E.M.D.A.S)

so
$2 \times 3 = 6$
now we can add the 1 from
$1 + (6) - 18$
into our six

$6 + 1 = 7$
now we substract

$(7) - 18 = - 11$
now we have
$- 11 \div 3 + (5(2 + 2))$
now we focus on the
other side
$3 + (5(2 + 2))$
since 5 is in paranthesis we use something called the distributive property. it mean we will multiply the 5 by both of the 2.
$(5(2 + 2)) = (((5 \times 2) + (5 \times 2) = 20$
now we have
$3 + 20 = 23$

(the three is from the original equation)

now we plug in our final numbers

$- 11 \div 23$
or
$\frac{ - 11}{23}$
I hope this helps

4 0

3 years ago

Read 2 more answers

I need help with 11 and 12

Yakvenalex [24]

Answer:

Both are inverse pairs

Step-by-step explanation:

Question 11

$g(x)= 4 + \dfrac{8}{5}x$

(a) Rename g(x) as y

$y = 4 + \dfrac{8}{5}x$

(b) Solve for x :

$\dfrac{8}{5}x = y - 4$

(c) Multiply each side by ⅝

$x = \dfrac{5}{8}(y - 4) = \dfrac{5}{8}y - \dfrac{5}{2}$

(d) Switch x and y

$y = \dfrac{5}{8}x - \dfrac{5}{2}$

(e) Rename y as the inverse function

$g^{-1}(x) = \dfrac{5}{8}x - \dfrac{5}{2}$

(f) Compare with your function

$f(x) = \dfrac{5}{8}x - \dfrac{5}{2}\\\\f(x) = g^{-1}(x)$

f(x) and g(x) are inverse functions.

The graphs of inverse functions are reflections of each other across the line y = x.

In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)

Question 12

h(x)= x - 2

(a) Rename h(x) as y

y = x - 2

(b) Solve for x:

x = y + 2

(c) Switch x and y

y = x + 2

(e) Rename y as the inverse function

h⁻¹(x) = x + 2

(f) Compare with your function

f(x) = x + 2

f(x) = h⁻¹(x)

h(x) and ƒ(x) are inverse functions.

The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).

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3 years ago

the value of a car that cost $16,000 decreased to $12,000 after 2 years what is the percent of decrease

choli [55]

Answer: 25%

Step-by-step explanation:

16 000 - 12 000 = 4000

16 000 / 4000 = 4

100 / 4 = 25

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3 years ago

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serious [3.7K]

Answer:

Territory is the correct answer

have a great day and i hope you do well on your grades ^-^

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3 years ago

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