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Irina-Kira [14]
3 years ago
15

How do I solve this?

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0

Answer:

23

Step-by-step explanation:

put 3 in place of x and solve.

Arisa [49]3 years ago
5 0

Answer:

f(3) = 23

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into the expression

f(3) = 2(3)² + 5\sqrt{3-2}

     = (2 × 9) + (5 × \sqrt{1})

    = 18 + (5 × 1) = 18 + 5 = 23

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The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi
pav-90 [236]

Answer:

Length is 15 inches

Width is 8 inches

Step-by-step explanation:

A = L*W

the Width = L-7

120 = L (L-7)

120 = L^2-7L

subtract 120 from each side

0 = L^2 - 7L - 120

(L-15) (L +8 )

so L = 15  inches

and W = 15-7 = 8 inches

check your answer: does 15*8 = 120? yes!

6 0
3 years ago
Expand 2x (5x-2) please help i’m confused
Leno4ka [110]
10x^2-4x is your answer! :)
8 0
3 years ago
ANSWER THIS PLEASE ASAP
Talja [164]

Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69  

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

\frac{x}{2} + \frac{x}{3} +\frac{x}{8} = 69    Get a common denominator. 24 would work, 48 also.

48(\frac{x}{2} +\frac{x}{3} +\frac{x}{8} ) = 48(69)

24x + 16x + 6x = 3372

46x = 3372    x = 72

Proof:  calculate the number of each kind of trough

Horses 72/2 = 36, Cows 72/3 = 24  Pigs 72/8 = 9    36+24+9 = 69

part b.  5c + 3k = 92,   c + k = 20  Rearrange to get a value for c to substitute.

c = 20-k   5(20-k) +3k =92  Distribute and solve

100 - 5k + 3k = 92 becomes -2k = -8  so  k = 4 Substitute into the original

c + 4 = 20  becomes c=20-4,  so c = 16

Proof: 5c +3k = 92 Substitute values 5(16) + 3(4) = 92  80 + 12 = 92

6 0
3 years ago
Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simples
xz_007 [3.2K]

Answer:

Erwin have 1 \frac{1}{2}   gallons of lemonade left

Step-by-step explanation:

<u><em>Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simplest form</em></u>

<u><em /></u>

All we need to do is to subtract 11/12 from 2 5/12. But to do this, we will convert 2 5/12 to improper fraction

converting 2 5/12 to improper fraction yields : 29/12

Lemonade have left = Total lemonade - lemonade spilled

                         =          29/12 -  11/12

                               

                         =     18/12

Lemonade have left =18/12

But we can reduce 18/12 to its lowest term

18÷6/ 12÷6      =     3/2

       Lemonade have left = 3/2

We can change to 3/2 to a mixed number to give us 1 \frac{1}{2}    

Therefore Erwin have 1 \frac{1}{2}   gallons of lemonade left

6 0
3 years ago
Read 2 more answers
Terry made 6 orders in September, 36 orders in October, and 216 orders in November. If this pattern continues, how many orders w
bixtya [17]

Answer:

1296 orders

Step-by-step explanation:

There is a pattern to his orders.

First, he starts with 6.

Second, he made 36.

Third, he made 216.

From here, the pattern can be identified. And, you can extend it further.

Pattern - x · 6

x = the orders.

6, 36, 216

6 (September) × 6 = 36 (October)

36 × 6 = 216 (November)

216 × 6 = 1296 (December)

7 0
3 years ago
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