All categories

2 years ago

G(t) = (t – 10)(t + 1)

Mathematics

1 answer:

IceJOKER [234]2 years ago

8 0

Write properties of function:

x intercept/zero: t₁ = -1, multiplicity 1; t₂ = 10 , multiplicity 1

vertex form: g (t) = (t - 9/2)² - 121/4

vertex: (9/2, -121/4)

You might be interested in

Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

$A = Pe^{rt}$

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

A = 2 × $3000

A = $6000

$6000 = 3000e^{0.085t}$

$\frac{6000}{3000} = e^{0.085t}$

$2 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}2 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln2 = 0.085t$

$t = \frac{ln2}{0.085}$

$t = \frac{0.693}{0.085}$

t = 8.15

(b) For the amount to double, A = 3 × P

A = 3 × $3000

A = $9000

$9000 = 3000e^{0.085t}$

$\frac{9000}{3000} = e^{0.085t}$

$3 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}3 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln3 = 0.085t$

$t = \frac{ln3}{0.085}$

$t = \frac{1.0986}{0.085}$

t = 12.92

5 0

3 years ago

M∠1 = 80 – x; and

Burka [1]

Answer:

$10$

Step-by-step explanation:

<em>m∠</em>2 and <em>m∠</em>1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:

[80 - x]° = [90 - 2x]°

+ x° + x°

______________

80° = [90 - x]°

-90° - 90°

__________

−10° = [−x]°

$10° = x$

I am joyous to assist you anytime.

6 0

2 years ago

Which of the following statements about the number line is true?

rusak2 [61]

It is D i think.............
.

8 0

3 years ago

Read 2 more answers

Guys can you help me with this i just dont understand how to plot it so u just have to tell me how

Snowcat [4.5K]

Answer:

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

1/5+3/7 and you will get 50 points

Darina [25.2K]

Answer:

22/35

may be its your answer .

7 0

2 years ago