MATHEMATICS HIGH SCHOOL

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Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

4 because as shown below. An equilateral triangle has 3 lines of symmetry.

Answer 2

Answer:

Answer:

Step-by-step explanation:

The zeros are the values of x on the x- axis where the graph crosses.

The graph crosses the x- axis at x = - 4 and x = - 6

Then x = - 4 and x = - 6 are the 2 zeros → D

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1. For which value of x is the expression log base 4 of (x+3) not defined?a. 0
b. -2
c. 3
d. -4

2. If log 7= a, what is the value of log 490 in terms of a?

3. For what value of k will the graph of y=log base 7 of x contain the point (1,k)?

Answers

1.
$log_a b \na>0 \hbox{ and } a \not=1 \nb>0 \n \nlog_4 (x+3) \nx+3>0 \nx>-3$

log₄(x+3) is defined for x greater than -3.
0>-3
-2>-3
3>-3
4≤-3
The answer is D. -4.

2.
$\log 7=a \n \n\log 490= \log (7^2 \cdot 10)=\log 7^2 + \log10=2 \log 7 + 1=2a+1$

The formulas I used:
$\log_a (x \cdot y)=\log_a x + \log_a y \n\log_a x^y=y \log_a x \n\log x=\log_(10) x$

3.
$y=\log_7 x \n \n(1,k) \nx=1 \n y=k \n \nk=\log_7 1 \nk=\log_7 7^0 \nk=0$

The first four terms of a sequence are shown below:9, 5, 1, −3

Which of the following functions best defines this sequence? (5 points)

A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

Answers

Answer:

Option A is correct.

Step-by-step explanation:

We have been given the sequence:

9,5,1,-3

We can clearly see that the next digit is four less than the previous digit.

Here first term that is a=9

So, the function would be:

$f(1)=9; f(n+1)=f(n)-4\text{for}n\geq1$

Therefore. option A is correct.

Option B and D are not correct because function is decreasing not increasing.

Option C is not correct because decreasing by 4 not 5.

Answer:

A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Step-by-step explanation:

i took the test and got it right

Find the surface area and volume of the figure.
18 ft
11 ft

Answers

Answer:1,188 is the surface are I will tell the volume in the chat

Step-by-step explanation:

1. Which economic policy was used to help American industry during the Second Industrial Revolution? A.) laissez-faire capitalism
B.) socialism
C.) collective bargaining
D.) populism

2. During the early 20th century, corporations used holding companies to do which of the following?
A.) reduce the power of unions
B.) shelter earnings from income taxes
C.) pursue a policy of vertical integration
D.) exert a greater amount of political influence

3. What impact did developments in the steel industry during the 19th century have on the United States?
A.) They made steel stronger and more flexible, allowing for the development of aircraft for the military.
B.) They made the consumption of oil more important, resulting in a growing dependence on foreign energy sources.
C.) They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.
D.) They made it possible to manufacture inexpensive cars, leading to the construction of interstate highways.

Answers

Hello!

Economic policy used in the US during the second industrial revolution was the model of laissez-faire capitalism. Socialism and populism have not been used often in the US.

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The main consequence of the use of holding was to reduce the power of couplings, since it is configured symbolic monopoly.

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The steel industry has contributed to the territorial and technological expansion. This is remarkable when we look at the railroads.

hugs!

Below are the answers to the above questions:

1. laissez-faire capitalism
2. reduce the power of unions
3. They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.

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Simplify this 4x^2-3x^2