MATHEMATICS HIGH SCHOOL

Which function has real zeros at x = –8 and x = 5?g(x) = x2 + 3x – 40
g(x) = x2 + 3x + 40
g(x) = x2 + 14x – 40
g(x) = x2 + 14x + 40

Answers

Answer 1
Answer: Hello,

sum=-8+5=-3
prod=-8*5=-40

==>x²+3x-40

Answer A
Answer 2
Answer:

Answer:The answer is A

Related Questions

What does 50 tens equal
Simplify the expression. 3 square root 5/64
A spherical ballon with a radius r inches has volume V(r)=4/3 pir^3. Find a function that represents the amount of air required to inflate the balloon from a radius inches to a radius of r+1 inches.
Joe paid $14.00 for a board game this is 70% of the original price what was the original price
Leah's annual take-home pay is $66,000. What is the maximum amount that she can spend per month paying off credit cards and loans and not be in danger of credit overload?A.$1200 B.$1320 C.$1100 D.5250

The deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180. Answer the questions below and show all work.

Answers

Answer:

d=$15,

Explicit formula:  a_n=120+(n-1)15

a_(12)=285

At 27 month Ginni make a deposit at least $500.

Step-by-step explanation:

Given that the deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180.

we have to find the common difference i.e d

-- , -- , $150, x, $180 , -------

Let $x be the 4th deposit.

∴ x-150=180-x ⇒ 2x=330 ⇒ x=165

Common difference,d=165-150=$15

Let us find the first tem i.e the value of a

a_3=a+(3-1)15

⇒ 150=a+30\thinspace gives\thinspace a=120

Explicit formula for arithmetic sequence is

a_n=a+(n-1)d

⇒ a_n=120+(n-1)15

Now, we have to find the amount of Ginni in 12th deposit i.e n=12

a_(12)=120+(12-1)15

⇒  a_(12)=120+165=285

Now, we have to find at what month Ginni make a deposit at least $500.

a_n=120+(n-1)15

⇒ 500=120+(n-1)15

⇒ n-1=(380)/(15)

⇒ n=26.33\sim27

hence, at 27 month Ginni make a deposit at least $500.
1. 15 dollars
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4.
500=15*month+105
395=15*month
26.33=month
Round up to 27 for the nearest whole month, so month 27.

Hope this helps!

3^2x3^9 simplify and write in exponential form

Answers

Answer:

\sf 3 ^(11)

Step-by-step explanation:

An exponent is a mathematical symbol that tells us how many times to multiply a base number by itself.

In this case:

To simplify 3² × 3⁹, we can use the following rule of exponents:

\sf a^m * a^n = a^(m+n)

Therefore, 3² × 3⁹ can be simplified as:

\begin{aligned} 3^2* 3^9 & = 3^(2+9) \n\n &= 3^(11)\end{aligned}

Therefore the answer in exponential form is: \sf 3 ^(11)

Answer:

3^(11)

Step-by-step explanation:

using the rule of exponents

• a^(m) × a^(n) = a^((m+n))

given

3² × 3^(9)

= 3^((2+9))

= 3^(11)

identify an equation in point-intercept form for the line parallel to y = -3x + 7 that passes through (2, -4)

Answers

Let's organize.
The question says to identify an equation in point-intercept form for the line that's parallel to y = -3x + 7 that passes through (2, -4).

If you need to find an equation in point-intercept form that passes through a point, you will substitute the coordinate in this formula:

-> y - yo = m (x - xo)

Where:

(2, -4) -> xo = 2 ; yo = -4
m = Slope

You don't have the slope, but you have the information that the line is parallel to y = -3x + 7. Then you need to know that to a line be parallel to another the Slopes of each other must be equal, mr = ms.

Let's find the slope of the equation given, it is in a slope-intercept form, so:

y = mx + b

R: y = -3x + 7     // I will call this one R line, and the other S.

mr = -3

If the mr = ms, and mr = -3, then the ms = -3 too.

S: y - yo = ms (x - xo) // (2, -4) & ms = -3

-> y - (-4) = -3 (x - 2)
-> S: y + 4 = -3 (x - 2) -> This is the point-slope form.


-> y = -3x + 6 - 4
-> S: y = -3x - 2 -> This is the slope-intercept form.

I didn't understand what is the point-intercept form that the question requests, but by logic, i think that's the point-slope form.

Answer: The equation in point-intercept form is: y + 4 = -3 (x - 2).

The Kent family must pay $2,868 in property tax on their home this year. Their house payment is $755per month. What is their payment each month with the tax? Assume that the tax is paid in equal
monthly instauments.
Their payment with tax is $ per month

Answers

their payment would be $994 including taxes.

Order the set of integers from greatest to least. {-100, -89, -124, -69, -52}

Answers

Answer:

-52, -69, -89, -100, -124

Step-by-step explanation:

When your dealing with negative numbers the smaller number the larger it is.

Hope this helps have a nice day:)

Triangle inequality theorem

Answers

The triangle inequality theorem is an important part of geometry in order to mention the dimension of the sides of a triangle clearly.

What is triangle inequality theorem?

The triangle inequality theorem states that, the sum of the length of two sides must be greater than the length of the third side of that triangle.

Here, three sides of this triangle ABC are AB, BC, and CA.

Therefore, as per the triangle inequality theorem:

(Length of AB + length of BC) must be greater than the length of CA.

Therefore, (AB + BC) > CA.

(Length of BC + length of CA) must be greater than the length of AB.

Therefore, (BC + CA) > AB.

(Length of AB + length of CA) must be greater than the length of BC.

Therefore, (AB + CA) > BC

For an example, if we are running in a triangular shaped track, then it can be easily understandable.

Now, if we start running from the point A, then to reach the point B the shortest path will be the straight line AB.

Instead of that, if we go to the C point at first and then reach the point B, then we will travel more distance.

Similarly, starting from the other points, we will get the same results.

Learn more about triangular inequality theorem here: brainly.com/question/18345497

#SPJ2
Triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side because if not you don't have a triangle.
Other Questions
Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will be run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of that diagonal piece of pipe? A. 120 feet B. 17 feet C. 289 feet D. 23 feet
Find (9.3 X 10^6) + (1.8 X 10^4).Express your answer in scientificnotation. Please answer i'm studying for a test tomorrow :D
Boston, New York, and Philadelphia are often referred to as the ________ of liberty.
Given f^{-1} (x)=2x^3+3. Write an equation that represents f(x).I just need some help. I can't figure out this problem since I'm watching a toddler while doing this.