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2 years ago

14

the graph shows the total number of hours katrina worked over a 10-day period. during which one-day interval did she work the mo

st hours?

1 answer:

liraira [26]2 years ago

8 0

Answer:

4 to 5

Step-by-step explanation:

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PLEASE HELP ASAP -- WITH THE WORKK<br><br>50 points

MAXImum [283]

Part-A:-

<h3>(f×g)=</h3>

$\\ \sf\longmapsto x^2+3x-70(4x-12)$

$\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840$

$\\ \sf\longmapsto -8x^2+48x+560$

Now

$\\ \sf\longmapsto (f.g)(3)$

$\\ \sf\longmapsto -8(3)^2+48(3)+560$

$\\ \sf\longmapsto -72+144+560$

$\\ \sf\longmapsto 72+560$

$\\ \sf\longmapsto 632$

Part-B:-

$\\ \sf\longmapsto f(3)$

$\\ \sf\longmapsto (3)^2+3(3)-70$

$\\ \sf\longmapsto 9+9-70$

$\\ \sf\longmapsto 18-70$

$\\ \sf\longmapsto -52$

Now

$\\ \sf\longmapsto g(f(3))$

$\\ \sf\longmapsto g(-52)$

$\\ \sf\longmapsto 4(-52-3)$

$\\ \sf\longmapsto 4(-55)$

$\\ \sf\longmapsto -220$

Part:-C

$\\ \sf\longmapsto g(-2)$

$\\ \sf\longmapsto 4(-2-3)$

$\\ \sf\longmapsto 4(-5)$

$\\ \sf\longmapsto -20$

Now

$\\ \sf\longmapsto f(g(-2))$

$\\ \sf\longmapsto f(-20)$

$\\ \sf\longmapsto (-20)^2+3(-20)-70$

$\\ \sf\longmapsto 400-60-70$

$\\ \sf\longmapsto 400-130$

$\\ \sf\longmapsto 270$

Part-D:-

g×f=f×g

$\\ \sf\longmapsto (g.f)(-2)$

$\\ \sf\longmapsto -8(-2)^2+48(-2)+560$

$\\ \sf\longmapsto 32-96+560$

$\\ \sf\longmapsto -64+560$

$\\ \sf\longmapsto 496$

6 0

2 years ago

The volume of a cube is 441cm3.<br> Work out the length of its side rounded to 1 DP.

Rainbow [258]

Answer:

volume of cube=441cm³

l³=441cm³

l=

$\sqrt[3]{441}$

length=7.6cm

3 0

2 years ago

A line passes through (8,2) and (11,-13) write the equation of thr line in standerd form

docker41 [41]

Answer:

Step-by-step explanation:

(8,2),(11,-13)

slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5

y = mx + b

slope(m) = -5

(8,2)...x = 8 and y = 2

now we sub and find b, the y int

2 = -5(8) + b

2 = -40 + b

2 + 40 = b

42 = b

so ur equation is : y = -5x + 42...now we need it in standard form

Ax + By = C

y = -5x 42

5x + y = 42 <====

8 0

3 years ago

Find the equation of the line that passes through both (5,1) and (8,-2)

Georgia [21]

Let $f(x) = ax+b$ be the line that passes through both points.

We know that $f(5) = 1$ and $f(8) = -2$ . So:

$\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}$

Solving the system, we get that a= -1 and b = 6.

So the line is equal to $f(x) = 6-x$ .

5 0

2 years ago

In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group

Juliette [100K]

Answer:

If we assume that everyone in the group is an owner, we would have

$20*2=40$ legs.

$64-40=24$ legs

Therefore, we need 24 more legs.

These 24 additional legs can be made from the difference of legs between the owners and dogs.

In this case, dogs have $4-2=2$ more legs than an owner.

24 ÷ 2 = 12.

There are 12 dogs in the group.

8 0

2 years ago