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3 years ago

Let f(x) = x2 - 3x - 7. Find f(-3)

1 answer:

5 0

$f(x)=x^2-3x-7\\\\
f(-3)\\
Substitute\ x=-3\\\\
f(-3)=(-3)^2-3*(-3)-7\\
f(-3)=9+9-7=18-7=11\\\\\
Solution\ is\ f(-3)=11$

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10. Explain why log328 is between 3 and 4.

maw [93]

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

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3 years ago

A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern c

Marrrta [24]

Given:

The number of seats in the first row is a₁ = 12.

The series of the increasing number of seats is 12, 14, 16......

The objective is to find the total number of seats in the first 12 rows.

Explanation:

The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

$\begin{gathered} d=14-12=2 \\ d=16-14=2 \end{gathered}$

The number of rows to be calculated is n = 12.

To find the number of seats:

The number of seats presents in the first 12 rows can be calculated as,

$S_n=\frac{n}{2}\lbrack2a_1+(n-1)d\rbrack$

On plugging the obtained values in the above equation,

$\begin{gathered} S_{12}=\frac{12}{2}\lbrack2(12)+(12-1)2\rbrack \\ =6\lbrack24+11(2)\rbrack \\ =6(46) \\ =276 \end{gathered}$

Hence, the total number of seats in the first 12 rows is 276.

8 0

8 months ago

–3m − 6 = –4m find m please

RideAnS [48]

Answer:

m=6

Step-by-step explanation:

-3m+4m=6

m=6

3 0

3 years ago

Read 2 more answers

Each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its hist

STatiana [176]

Answer:

Step-by-step explanation:

Because when a decimal is only one number after a zero, it equals ten of whatever number it is. Since 60 is greater than 41 it is -0.6 ( -0.60 ) has more negative value than -0.41.

5 0

2 years ago

I’m confused on this one

Alenkinab [10]

So remember that the area of a trapezoid is $A=\frac{b_1+b_2}{2}h$ , with b = bases and h = height. Before we can do the equation, however, we have to find the height. Using the right triangle, we can use the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ .

Since we know that the hypotenuse is 13 and one of the legs is 12, we can solve for the other leg. Our equation will look like this: $x^2+12^2=13^2$

Firstly, solve the exponents: $x^2+144=169$

Next, subtract 144 on both sides: $x^2=25$

Next, square root both sides, and your height will be: x = 5

Now that we know both the height, 5, and the bases, 30 and 40, we can solve for the area of the trapezoid. Our equation will look like this: $A=\frac{30+40}{2}*5$

Firstly, combine everything on the numerator: $A=\frac{70}{2}*5$

Next, divide the fraction: $A=35*5$

Next, multiply, and your answer will be A = 175 un^2.

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3 years ago