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worty [1.4K]
3 years ago
11

F(7) if f(x)=-3x-2 ​

Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

f(7) = -23

Step-by-step explanation:

f(x) = -3x - 2

f(7) = -3(7) - 2

f(7) = -21 - 2 = -23

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Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 m
weqwewe [10]

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\

Simplify the equation

\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\

Now we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method  

r^2 - 4r-320 =0 \\\\r^2-20r+16r-320=0 \\\\r(r-20)+16(r-20)=0 \\\\(r-20) (r+16)=0 \\\\

So,

(r-20) = 0 \\\\r = 20 \\\\

OR

(r+16)=0 \\\\r = -16 \\\\

Since rate cannot be negative, discard the negative value of r

Therefore, the rate is

r = 20 \: mph

3 0
4 years ago
A supplier sold a scanner machine for Rs 41,400 with 15% VAT after allowing 10% discount on it's marked price and gained 20%. By
victus00 [196]

3%

Answer:

Selling price with VAT {15%} = Rs 41400

S.P +15% of S.P =Rs 41400

S.P(1+15%)=Rs 41400

S.P=Rs 41400/1.15

Selling price without VAT =Rs 36000

Again

Discount = 10%

M.P =S.P+ Discount % of M.P

M.P-Discount% of M.P= S.P

M.P(1-Discount%)=Rs 36000

M.P(1-10%)=Rs 36000

M.P=Rs 36000/0.9

Marked Price = Rs 40,000

again

Discount =Discount % of M.P

=10% of 40000

=Rs 4,000

Again

Profit=20%

For 20% profit

Cost price = (S.P*100)/(100+profit%)

=(36000*100)/(100+20)

= Rs 30000

For 24% profit

selling price = (100+profit%)*C.P/100

=(100+24)*30000/100

=Rs 37200

Again

Discount = 40000–37200 = Rs2800

Discount % = discount/M.P*100%

=2,800/40,000* 100 = 7%

Finally

Discount percent to be reduced =10%–7%= 3%

3 0
2 years ago
A tissue box is in the shape of a rectangular prism with an area of 528 in.³ the length of the box of tissues is 12 inches in th
iris [78.8K]
Pu$$y is very good save it! you'll need it later in life! trust me!
5 0
4 years ago
1. Draw a diagram that will help you explain why sin(0) = cos(90 – 6).
BARSIC [14]

Answer:

Use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes :)

Step-by-step explanation:

8 0
3 years ago
What is the correct answer
Advocard [28]

Answer:

c

Step-by-step explanation:

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8 0
4 years ago
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