Investing money in a retirement fund is part of a plan for achieving _____. A. Immediate goals B. Long term goals C. Short term goals D. Unrealistic goals
Answer: Long term
Under a dilation, a figure is enlarged and its orientation is preserved. Choose the statement that best describes the dilation. A. The image is along the same ray as the preimage but is farther from the center of dilation. B. The image is along the opposite ray from the preimage but is farther from the center of dilation. C. The image is along the same ray as the preimage but is closer to the center of dilation. D. The image is along the opposite ray from the preimage but is closer to the center of dilation.
Answer: C) The image is along the same ray as the preimage but is closer to the center of dilation.
The binomials shown below will be multiplied to produce a quadratic trinomial. (x + p)(x + q) Which part of the trinomial will equal the sum of p and q? A. The constant term B. The coefficient of the x-term C. The degree D. The coefficient of the x2-term
(x + p)(x + q)
x^2 + px + 1x +pq
x^2 + (p+q)x + pq
Hope this answers the question. Have a nice day.
4. Which of the following sets of numbers is a Pythagorean triple? A. 4, 5, 6 B. 8, 15, 17 C. 5, 12, 14 D. 8, 24, 25 Suppose a triangle has side lengths 6, 7, and 10. Which of the following best describes this triangle? A. obtuse B. acute C. right D. Cannot be determined.
4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B. 8, 15, 17.
5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.
A quadratic equation is shown below: 9x2 - 36x + 36 = 0 Part A: Describe the solution(s) to the equation by just determining the discriminant. Show your work. (3 points) Part B: Solve 2x2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)
9x² - 36x + 36 = 0
9(x² - 4x + 4) = 0
9(x-2)(x-2) = 0
Radicand = Discriminant = 36² - 4(9)(36) = 0
there is 1 real zero that repeats itself)
zero is x=2.
Use factoring. Factors of 7 are 1 and 7
2x²-9x+7 = 0
(2x-7)(x-1) = 0
2x-7 = 0 (x-1)=0
2x = 7x=1
x = 7/2
Your solutions are x = 1 and x = 7/2
I hope my answers helped you
Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week. Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?
Part A. $10 x 40 hours= $400 ($10x = W) X= 40 hours a week
Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.
Part c. Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for 46 hours
Match Term Definition Line Segment A) a series of points that extend in two directions without end Plane B) two lines that intersect at 90° angles Perpendicular Lines C) lines that lie in the same plane and do not intersect Line D) a flat surface that extends infinitely and has no thickness Parallel Lines E) part of a line that has two endpoints
E) part of a line that has two endpoints
D) a flat surface that extends infinitely and has no thickness
B) two lines that intersect at 90° angles
A) a series of points that extend in two directions without end
C) lines that lie in the same plane and do not intersect
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If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets greater than interest rates to find willing buyers.
Which of the following statements is true of a reflection? -It is an isometry. -It slides a plane. -The transformation is done over a line of reflection. -It flips a plane about a fixed line. I-t changes the size of the figure being reflected.
Option 2,3 and 4 are correct.
To find : Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply.
The polynomials in standard form is written from higher degree to lower degree i.e. in descending order.
The given polynomial has degree 6: , and it can be ordered respect any of the two variables either r or s.
Adding a new term as first term needs to have degree equal or greater than 6.
1) cannot use as first term because its degree is less than 6.
2) it can be use as degree is 9.
is the standard form.
3) it can be use as degree is 10.
is the standard form.
4) it can be use as degree is 6.
is the standard form.
Therefore, Option 2,3 and 4 are correct.
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
Undefined terms cannot be used as a proof in mathematics.
I hope my answer has come to your help. God bless and have a nice day ahead!
Which of the following is the statement of the triangle inequality theorem? A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle. B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. C. The longest side of a triangle is opposite the largest angle. D. The largest angle of a triangle is between the two longest sides.
we know that
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
a,b,c------> the length sides of a triangle
The theorem states that three conditions must be met
the answer is the option
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
When letter or numbers are separated by multiplication or division can be combined to make one term.
In an algebra equation, terms are separated by an addition sign, subtraction sign or an equal sign. For example,
3a + 7b = 21.
This equation have 3 terms.
Unordered polynomial is
7x3y3 + 4 - 11x5y2 - 3x2y
Polynomial in descending order looks like this
-11x5y2 + 7x3y3 - 3x2y + 4
Degree of the second term is 5 ( because of x5 )
A = (x+3)^2 = x^2+6x+9
A department store has a discount on shoes based on a percentage of the price suppose one pair of shoes is marked down from $70 to $49 what is the price for a $100 pair of shoes after the discount is applied
$70 - $49 = 21
Now we find out what percent $21 is of $70.
21/70 × 100 = 30%.
That means the discount is 30%!
Now we must find 30% of $100, which is $30.
Then we subtract $30 from $100.
$100 - $30 = 70$
Sophia is saving money for a new bicycle. The bicycle will cost at least $623. Sophia makes $8.22 per hour. Which inequality could be used find the number of hours Sophia needs to work to make enough money to buy a new bicycle? $8.22h > $623 $8.22h ≤ $623 $8.22h ≥ $623 $8.22h < $623
We are given that Sophia is saving money for a new bicycle.
The bicycle will cost atleast $623.
Sophia makes $8.22 per hour.
We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.
Let Sophia works h hours to make enough money to buy a new bicycle.
Sophia makes money per hour =$8.22
Total money made by Sophia in h hours =
According to question
Hence, option C is true.
Marcus finds that (3x^2-2y^2+5x)+(4x^2+12y-7x)= 7x^2-10y^2-2x What error did Marcus make? A: He combined the terms 5x and –7x incorrectly. B: He combined the terms 3x^2 and 4x^2 incorrectly. C: He combined the terms –2y^2 and 12y^2 incorrectly. D: He subtracted the polynomials instead of adding.
Combine like terms
the answer is the option C
He combined the terms and incorrectly
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.If no money was deposited into or withdrawn from the account, how much money was in the account after 3 years?Round your answer to the nearest cent.Enter your answer in the box.$
A great website that could help you understand this is http://www.algebra-class.com/rate-of-change.html. But I can help you with this.
T isnt answer because that is a point
Z is answer. There is no point around Z which means that is how plane is named.
ZXV is not answer because Z is not a point so it cannot be placed next to points to define something.
LTX is not answer because they are on same line.
2. A skydiver jumps from a plane from an altitude of 6000 ft. An observer on the ground measures the skydiver’s altitude at time t = 0 to be 4500 ft. The linear graph shows the skydiver’s altitude at various times during her descent. (a) Identify the y-intercept. How does the y-intercept relate to the skydiver’s position relative to the ground? Explain. (b)Determine the slope of the line. According to the slope, is the skydiver ascending or descending and what is the rate of ascent or descent? Explain. (c) Identify the x-intercept. What does the x-intercept mean in this context? Explain. (d) Write an equation for the line.