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3 years ago

Last month, Margo bought a tree that grows 2.5 cmeach day. It was 5 cm tall when she bought it and is now 65 cm tall

Mathematics

1 answer:

-Dominant- [34]3 years ago

5 0

So it grew 60 CM since when he bought it , now 60/2.5 to get the number of days

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

Felicity accidentally overdrew her bank account by $24.65. She then deposited a birthday check from her grandma for $25.00, paid

tensa zangetsu [6.8K]

Answer:

It would be -13.6

Step-by-step explanation:

I used my calculator for this,

-24.65 +25 - 46.75 + 32.80 = -13.6

7 0

3 years ago

There are 24 boys and 16 grils on a playground. What is the ratio of boys tototal number of children on the playground

tatuchka [14]

Answer:

24:40 or 3:5

Step-by-step explanation:

Boys: 24

All children: 24 + 16 = 40

Boys to total amount of children: 24:40

Simplify: 24:40 = 3:5

8 0

3 years ago

Find all solutions of the equation in the interval [0°, 360°). cos(x) = -1

nika2105 [10]

Answer:

180°

Step-by-step explanation:

cos(x) = - 1 has only 1 solution in the required interval , that is

x = $cos^{-1}$ (- 1) = 180°

7 0

3 years ago

Help me w this ty! lolllisndndnd

RoseWind [281]

Square root of 4 is 2
Square root of 9 is 3
7 is between 4 and 9, so its square root is somewhere between 2 and 3, which means the correct answer is between P and Q

8 0

3 years ago