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2 years ago

Write down a pair of integers whose

1 answer:

6 0

<span>The pair of integers that I chose are:

(a) sum is –3
5 + (-8) = -3

(b) difference is –5
2 - 7 = -5

(c) difference is 2
14 -12 = 2

(d) sum is 0
2 - 2 = 0</span>

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Consider the function f left parenthesis x right parenthesis equals 3 x squared minus 5 x minus 2f(x)=3x2−5x−2 and complete part

GuDViN [60]

Given f(x)=3x²-5x-2

a) To find f(a+h) replace x with a+h in the given function. So,

f(a+h)=3(a+h)²-5(a+h)-2

=3(a²+2ah+h²)-5(a+h)-2 By using the formula (x+y)²=x²+2xy+y².

=3a²+6ah+3h²-5a-5h-2 By distributing property.

b) Similarly to find f(a) we need to replace x with a. So,

f(a)=3a²-5a-2

So, f(a+h)-f(h)= (3a²+6ah+3h²-5a-5h-2)-(3a²-5a-2)

=3a²+6ah+3h²-5a-5h-2-3a²+5a+2.

=6ah+3h^2-5h (All other terms has been cancel out)

8 0

2 years ago

Erin built a wooden box to hold hay on her farm. Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to complete

sergiy2304 [10]

Here is the complete question.

Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?

Answer:

it cost $42 to completely fill the box with hay

Step-by-step explanation:

Given that :

The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;

We all know it would assume the shape of a rectangular prism and it's volume = L × W × H

Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³

However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;

So , if 1 cubic meter = $14;

three cubic meters = $14 × 3 = $42

Hence; it cost $42 to completely fill the box with hay

8 0

2 years ago

Randi and her sister made balloon animals and sold the for. $0.50 each at the school carnival. They made $48.00. If Randi made t

evablogger [386]

Answer:

Balloon made by Randi's sister $=32$

Balloon made by Randi $=64$

Step-by-step explanation:

Let Randi's sister made $x$ balloons.

Balloons made by Randi $=2\times x=2x$

total ballons $=x+2x=3x$

$1$ cast of $1$ ballon $=\$0.50$

Cost of $x$ balloons $=3x\times0.50=1.5x$

Given total money made $=\$48.0$

$1.5x=48\\\\x=\frac{48}{1.5}\\\\x=32$

ballon made by Randi's sister $=32$

Ballon made by Randi's = $2\times32=64$

5 0

2 years ago

A fitness club holds an open house for new members. The club expects 6,500 people to sign up for gym membership. If there is a p

Nata [24]

Firstly, 6500 divided by 100 then x by 4= 260, 260 + 6500= 6760.
The greatest amount is 6760
Then you do 6500-260= 6240
The least amount is 6240

5 0

2 years ago

Read 2 more answers

the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four

aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is $Hypotenuse^2=OneLeg^2+AnotherLeg^2$

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

$hyp^2=6^2+8^2\\hyp^2=100\\hyp=10$

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

$hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}$

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

$15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9$

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

$hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}$

Adding all the four hypotenuses, we get the length of the walkway:

Length of Walkway = $10+\sqrt{208} +15+\sqrt{117}\\ =50.24$ yards

8 0

2 years ago