All categories

3 years ago

H=3+14t-5t^2 What is its maximum height

Mathematics

1 answer:

timurjin [86]3 years ago

5 0

Answer:

12.8

Step-by-step explanation:

Given a parabola in standard form , ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

h = 3 + 14t - 5t² ← is in standard form

with a = - 5 and b = 14, thus

$x_{vertex}$ = - $\frac{14}{-10}$ = 1.4

Substitute t = 1.4 into h for maximum height

h = 3 + 14(1.4) - 5(1.4)²

= 3 + 19.6 - 9.8 = 12.8

You might be interested in

Suppose a1={1,{2}}a1={1,{2}} and a2={∅,{1,2}}a2={∅,{1,2}} and a3={∅,{1},2}a3={∅,{1},2}. enter "t" for each true, and "f" for eac

lbvjy [14]

P=a=b=p4/6 hope this helps :)))))

6 0

3 years ago

Multiply

Dmitriy789 [7]

Answer:

The product of given two fractions is

$\frac{4(x+2)}{(x-1)(x+3)}$

Therefore $\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}$

Step-by-step explanation:

Given expression is

$\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}$

To find the product of two given fractions as below :

$\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{2(5)}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}$

$=\frac{10}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}$

$=\frac{20x(x+2)}{5x(x-1)(x+3)}$

$=\frac{20x^2+40x}{(5x^2-5x)(x+3)}$ (multiply each term in the factor to each term in the another factor )

$=\frac{20x^2+40x}{5x^3+15x^2-5x^2-15x}$ ( adding the like terms )

$=\frac{20x^2+40x}{5x^3+10x^2-15x}$

$=\frac{5x(4x+8)}{5x(x^2+2x-3)}$

$=\frac{4(x+2)}{(x-1)(x+3)}$

Therefore $\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}$

Therefore the product of given two fractions is $\frac{4(x+2)}{(x-1)(x+3)}$

6 0

3 years ago

Which impact did new consumer goods have on the lives of Texans in the 1920's?

nadezda [96]

Answer:

Consumption in the 1920s The prosperity of the 1920s led to new patterns of consumption, or purchasing consumer goods like radios, cars, vacuums, beauty products or clothing. The expansion of credit in the 1920s allowed for the sale of more consumer goods and put automobiles within reach of average Americans.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can anyone explain dimensional analysis pleaseeee

dimaraw [331]

Is a problem solving method that uses that fact that any number or expression can be multiplied by one without changing it's value.

3 0

2 years ago

Look at the picture and answer pls!

Ray Of Light [21]

Answer: