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2 years ago

6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that curr

ently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.
7. Factor and solve the following equation 2x2 + x - 21 = 0.

8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.

9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.

Mathematics

1 answer:

kicyunya [14]2 years ago

7 0

$\rule{2000pt}{1000000pt}$

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X + (2x + 5) = 3(x – 4)+7

eduard

Answer:

Not true

Step-by-step explanation:

x + (2x + 5) = 3(x – 4)+7

Opening bracket on left and side and distributing 3 over (x-4) on right hand side

x+2x+5=3x-3 x 4 + 7

adding like terms

3x+5=3x-12+7

3x+5=3x-5

Hence

5 = -5

Which is not possible , Hence the equation given to us is false.

5 0

3 years ago

Help I keep getting 967.61 but its not one of my possible answers..

olga_2 [115]

B. Do you see how there is a pi symbol next to 308, that means you don't have to multiply by pi so 967.61 but divided by $\pi$

3 0

3 years ago

Read 2 more answers

Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each

abruzzese [7]

Answer:

1.5x ≤ 60

Step-by-step explanation:

He wants to run no more than 60 minutes a day

No more than means Less than or equal to with the inequality sign of ≤

Each lap = 1.5 minutes.

The greatest number of laps Peter could run = x

Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day

1.5 × x ≤ 60 minutes

= 1.5x ≤ 60

Solving for x

1.5x ≤ 60

x ≤ 60/1.5

x ≤ 40 laps

Hence, the Greatest number of laps = x that he can run is 40 laps

4 0

3 years ago

Carol bought a bamboo plant that was 62/4 feet high. when she got it home she cut 44/6 feet off of it . how tall was the plant a

Evgesh-ka [11]

Simplifying the values

$$6 \frac{2}{4} =\frac{26}{4}$ and $$4 \frac{4}{6} = \frac{28}{6}$ , we get

$$\frac{11}{6}$ tall was the plant after she cut it down.

<h3>What is fraction rule?</h3>

Let, the values be a, b, and c, then we get

$\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

Carol bought a bamboo plant that was $$6 \frac{2}{4}$ feet high. when she got it home she cut $$4 \frac{4}{6}$ feet off of it.

$$6 \frac{2}{4} =\frac{26}{4}$ and $$4 \frac{4}{6} = \frac{28}{6}$

The common denominator exists 24,

$$\frac{26}{4}-\frac{28}{6}$

the term $\frac{26}{4}=\frac{13}{2}$

$$=\frac{13}{2}-\frac{28}{6}$

Canceling the term $\frac{28}{6}= \frac{14}{3}$

$$=\frac{13}{2}-\frac{14}{3}$

Least Common Multiplier of 2, 3 = 6

Adjust Fractions based on the LCM

$$=\frac{39}{6}-\frac{28}{6}$

By applying the fraction rule we get

$\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$$=\frac{39-28}{6}$

Subtract the numbers, and we get

39 - 28 = 11

$$=\frac{11}{6}$

$$\frac{11}{6}$ tall was the plant after she cut it down

The correct answer is $$\frac{11}{6}.$

To learn more about the fraction rule refer to:

brainly.com/question/20323470

#SPJ4

8 0

2 years ago

The roots of an equation are x = -1 ± i. The equation is x2 +__ + 2 = 0.

Karolina [17]

[x-(-1+i)][x-(-1-i)]
[(x+1)-i][(x+1)+i]
(x+1)²-i²
(x²+2x+1)+1
x²+2x+2
so the answer is 2x

8 0

4 years ago

Read 2 more answers