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3 years ago

Find the sum. (7/4x - 5) + (2y - 3.5) + (-1/4x + 5) =

Mathematics

2 answers:

garri49 [273]3 years ago

6 0

Answer:

1 1/2x-3.5+2y

Step-by-step explanation:

Combine like terms

gtnhenbr [62]3 years ago

3 0

1/12 that the a lolol Rick rolled lol kk

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Stock in Chambers Translation cost $18.89 per share when Anthony bought it. He earns $410.40 per year from his 360 shares in Cha

kap26 [50]

The answer is A.6.03

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3 years ago

Read 2 more answers

Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

kvasek [131]

The axis of symmetry of a quadratic function $f(x)=ax^2+bx+c$ is given by the equation $x=h$ , where h is the x-coordinate of the vertex and is equal to $\frac{-b}{2a}$ .

1.
$f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0$

2.
$g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4$

3.
$h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2$

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).

7 0

3 years ago

Barbara made a bad investment. Rather than earning interest, her money is decreasing in value by 11% each week! After just one w

pochemuha

Answer: She started with $160.

It will take 6 weeks before she has less than half of what she originally invested.

Step-by-step explanation:

If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the investment after t weeks.

t represents the number of weeks.

P represents the initial value of the investment.

r represents rate of depreciation.

From the information given,

A = $142.40

r = 11% = 11/100 = 0.11

t = 1

Therefore

142.40 = P(1 - 0.11)^1

142.40 = P(0.89)

P = 142.4/0.89

P = 160

For her to have half of what she invested originally, then

80 = 160(0.89)^t

80/160 = (0.89)^t

0.5 = (0.89)^t

Taking log of both sides to base 10

Log 0.5 = log0.89^t = tlog0.89

- 0.3010 = - 0.051t

t = - 0.3010/- 0.051

t = 5.9

Approximately 6 weeks

5 0

3 years ago

Which of the following is a factor of 2xy + 8y − 8x − 32?

melamori03 [73]

We are given

$2xy+8y-8x-32$

We can write it as

$=2y*x+2y*4-8*x-8*4$

we can see that 2y is in first two terms

and -8 is in last two terms

so, we can factor it out

$=2y(x+4)-8(x+4)$

now, we can see that x+4 is common in both terms

so, we can factor it out

$=(x+4)(2y-8)$

we can see that

x+4 is one of factor of terms

so, option-B..........Answer

7 0

3 years ago

Mark earned $1340 for a 40-hour week. Use the formula P = RH where (P is the pay,

algol [13]

Mark earns 33.5 dollars per hour.

6 0

2 years ago