MATHEMATICS HIGH SCHOOL

Suppose the function shown below was expressed in standard form, y=ax^2+bx+c. What is the value of a? the graph shows a parabola facing downward with a vertex of (1,4) and the x intercepts are (3,0) and (-1,0) with a y intercept of (0,3)...?

Answers

Answer 1
Answer: y = -a(x - 1)^2 + 4 = -a(x^2 - 2x + 1) + 4 = -ax^2 + 2ax - a + 4 . . . (1)
y = -a(x - 3)(x + 1) = -a(x^2 - 2x - 3) = -ax^2 + 2ax + 3a . . . (2)

Equating (1) and (2), we have that
-a + 4 = 3a
3a + a = 4
4a = 4
a = 1

Required equation is
y = -x^2 + 2x + 3

Therefore, a = -1
Answer 2
Answer:

This is the graph they are referring to

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Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks she needs to sell to earn $100.1.25x + 1.49 = 100
What error did Barbara make in writing the equation?

Answers

1.25x is $1.25 per bottle of water (water=x)
but she forgot to do the same with the bottle of ice tea. It is supposed to be
1.49y or $1.49 per bottle of iced tea (ice tea=y)

The answer is 1.25x + 1.49y = 100

Barbara’s equation did not consider the number of bottles of iced tea.

50 POINTS!!!!-
The Dust Bowl hit middle America a few years after the Great Depression started, and the Dust Bowl was considered one of the causes that continued the Great Depression during the 1930’s. Explain in three sentences how this natural disaster affected America’s economy in the 1930’s?

Answers

The Dust bowl was a terrible event that caused many people to lose money. Not only that, but the fact that they lost money meant that they where contributing to the Great Depression. The Great Depression started in the US, thanks to events like the Dust Bowl.

Name ScoreJulia 650
Andrew 550
Jason 380
Cathy 720
Jessica 710
Robert 550
The table gives the scores of 6 students from a class of 25 in a competitive exam. The point estimate of the mean score for the students is _____-
. (Round off your answer to the nearest tenth.)

Answers

Answer

593.3

Explanation

Mean is also called average. It represents the average mark of a given data.

For the question above, you to add all the marks of the students then you divide by the number of students.

Mean = (650+550+380+720+710+ 550)÷6

= 3,560 ÷ 6

=593.3333

Answer to the nearest tenth = 593.3

The point estimate of the meanscore for the students is 593.34 if the number of observation is 6.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We know,

Mean = (sum of observation)/(number of observation)

Sum of scores = 650+550+380+720+710+550 = 3560

Number of observation = 6

Mean = 3560/6 = 593.33 = 593.34

Thus, the point estimate of the meanscore for the students is 593.34 if the number of observation is 6.

Learn more about the mean here:

brainly.com/question/22871228

#SPJ5

the product of two integers is -21. the diference between the two integers is -10. the sum of the two integers is 4. what are the two integers

Answers

it would be 7 and -3
7 x -3 = -21
difference = -10
the sum = 4

hope this helps you
The two integers are -3 and 7.

What is the name of a solid object traveling through space that strikes Earth’s atmosphere?meteor



meteorite



meteoroid



asteroid

Answers

A meteorite is a solid piece of debris, from such sources as asteroids or comets, that originates in outer space and survives its impact with the Earth's surface. It is called a meteoroid before its impact.

Answer:

Meteorites

Step-by-step explanation:

. Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ? A. 4
B. 36
C. 24
D. 0

Answers

If you would like to solve 12 / 2 + 4 - 2 * 3, you can calculate this using the following steps:

12 / 2 + 4 - 2 * 3 = 6 + 4 - 6 = 4

The correct result would be A. 4.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Do multiplication and division first.

12÷2+4-2×3

6+4-6

Now add and subtract.

6+4-6 = {\boxed{4}

ANSWER: 4
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