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2 years ago

This is for SSS Criterion x-y=x+3

1 answer:

7 0

Y=(-3) include parentheses

Explanation:
y=mx+b is the slope intercept form of a line where b and y is the intercept so,

x-y=x+3: y= -3

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

P=2^(43112609)-1 Suppose you have traveled to a faraway place where the base of the number system is 37 . (The inhabitants of th

AfilCa [17]

Answer:

8,275,842 digits

Step-by-step explanation:

One more than the floor of the logarithm to the base 37 gives the number of digits. The change of base formula can be used.

$\log_{37}{(2^{43112609}-1)}\approx\dfrac{43112609\log{2}}{\log{37}}\approx 8275841.2$

Expressed in the base-37 number system, P has 8275842 digits.

6 0

2 years ago

Can a cubic equation have 3 complex roots? 3 real roots? ...?

trasher [3.6K]

No, a cubic equation can not have three complex roots. This is because it turns twice and one end goes to positive infinity and one end goes to negative infinity. Thus, one of these MUST cross the x-axis at some point, meaning y = 0 and a real root exists.

Yes, a cubic equation can have three real roots if it cuts the x-axis three times.

7 0

3 years ago

A. Write an expression for the area of the shaded region.

tekilochka [14]

Answer:

A. $25x² - 64$

B. $(5x + 8)(5x - 8)$

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = $25x^2 - 64$

B. The expression, $25x^2 - 64$ , is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, $a^2 - b^2 = (a + b)(a - b)$

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

$25x^2 - 64 = (5x + 8)(5x - 8)$

4 0

3 years ago

Two families are saving up for a summer trip. The Smith family originally has $1000 and will save $50 every week. The Jones fami

gizmo_the_mogwai [7]

Hello. the answer is 20 weeks

4 0

3 years ago