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3 years ago

If f(x) = 3x -2 and g(x).= 4x + 1. what is the sum of f(2) and g(-3)

Mathematics

1 answer:

ira [324]3 years ago

5 0

Answer:

The sum of f(2) and g(-3) is -7.

Step-by-step explanation:

f(x) = 3x - 2

f(2) = 3(2)-2

f(2) = 6 -2 = 4

g(x) = 4x + 1

g(-3) = 4(-3) +1

g(-3) = -12 + 1 = -11

f(2) + g(-3) = 4 + (-11)

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

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A clothing manufacturer produces 120 garments per hour, of which 5 are damaged. How many garments without damage would the manuf

sp2606 [1]

Answer:

<h2>Step-by-step explanation:</h2>

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given 120 clothes = produce in 1 hour

X clothes = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960 total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y= 40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y = 960 - 40 = 920 clothes

3 0

2 years ago

Plzz I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls

Paha777 [63]

Answer:

17: 6:48

18: 9:45

19: 85 minutes or 1 hour and 25 minutes

20: 165 minutes or 2 hours and 45 minutes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Determine the projection of w onto u.

irina [24]

Answer:

A.6.2i-4.2 j

Step-by-step explanation:

We are given that

$u=9i-6j$

$v=-3i-2j$

$w=19i+15j$

We have to find the projection of w on to u.

The project of vector a on b

= $\frac{a\cdot b}{\mid b\mid^2}b$

$w.u=(19i+15j)\cdot (9i-6j)=171-90=81$

$\mid u\mid=\sqrt{x^2+y^2}=\sqrt{9^2+(-6)^2}=\sqrt{117}$

Using the formula

The projection of w on to u

$=\frac{u\cdot w}{\mid u\mid^2}(u)=\frac{81}{117}(9i-6j)$

The projection of w on to u=6.2i-4.2j

Hence, option A is true.

4 0

3 years ago

Read 2 more answers

A. 46 <br> B. 72<br> C.45<br> D.36

ASHA 777 [7]

Answer: C 45

Step-by-step explanation:

7 0

2 years ago

How do I do rate of change???

Bad White [126]

Answer:

Step-by-step explanation:

For our problem since we only in 10 am:

I'm going to let x=4 represent the time 10:04 am

which means I'm going to let x=17 represent 10:17am.

So when x=4, y=23 miles and when x=17,y=179 miles.

You have two points.

You can use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

Or just line the points up vertically and subtract them vertically, then put 2nd difference over first difference. Like this:

( 17 , 179)

-( 4 , 23)

-----------------------

13 156

So the slope is 156/13=12 miles/hour.

7 0

3 years ago