Corinne tends to be a spender. Luckily, her employer offers retirement saving options for the workers. Which of the following is the best option for Corinne to start saving for retirement
now?
A. A money market account
B. A simple savings account
C. A prepaid plan
D. A matching benefit
Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.
Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]
I need help with this
Answer:
some points that I found!
(0,-2), (-3,0), (-6, 2), keep it going from there, and then shade above the line
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
Sir your answer is 15
Step-by-step explanation:
Hope this helps luis
Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=
Answer:
x = 6 ± 3√
Step-by-step explanation:
Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x² - 12x + 36 = 90
Subtracting 90 from both sides.
x² - 12x - 54 = 0
To solve for x, we can use the quadratic formula.
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation
ax² + bx + c = 0.
In this case, a = 1, b = -12, and c = -54.
Substituting these values into the formula.
x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)
x = (12 ± √(144 + 216)) / 2
x = (12 ± √(360)) / 2
x = 6 ± 3 √(10)
Therefore,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ7
please please help for brainlist !!!!!!!!
f(x) is linear.
g(x) is exponential.
F(x) is linear! Remember, linear functions have a set amount of rate of change, in this case it’s 2! G(x) is a exponential function because instead of going down by a certain amount, it’s simply going down by half.
Hope this helps!
[tex]\sf 6x+4y-2x[/tex]
Answer:
4(x + y)
Step-by-step explanation:
6x + 4y - 2x
6x - 2x + 4y
4x + 4y
Taking 4 as common
4(x + y)
Help please this is due today!!!
please provide a small explanation!!
Answer:
200 sq cm
Step-by-step explanation:
Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.
The front and back are both 10 x 20, so 200 each = 400
The left and right are 5 x 20, so 100 each = 200
The lateral surface area is 200 sq. cm.
(-a + (-b)) + (-c) = -(a + b) + (-c)
A:associative
B:commutative
C:distributive
D:opposite of a sum
Answer: c
Step-by-step explanation:
what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)
The slope of the line that is perpendicular to line AB is: 1/2.
Recall:
If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given:
A(-1,10)
B(5,-2)
Slope of AB:
[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]
The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.
Therefore, the slope of the line perpendicular to AB is: 1/2.
Learn more about slope of a line perpendicular to a line on:
https://brainly.com/question/17990826
Marielle was in an accident. She was traveling down a road at
36 mi/h when she slammed on her brakes. Her car left two skid
marks that averaged 50ft in length with a difference of 4ft between
them. Her brakes were operating at 80% efficiency at the time of the
accident.
a. What was the possible drag factor of this road surface?
b. What were the lengths of each skid mark?
Answer:
a.?????
b.52 ft. and 48 ft.
Choose the inequality that could be used to solve the following problem.
Three times a number is at most negative six.
(A) 3x ≤ -6
(B) 3x < -6
(C) 3x ≥ -6
(D) 3x > -6
Answer:
I believe the answer is A
Step-by-step explanation:
three times x can be equal to, but never greater than -6
Answer:
A. 3x ≤ -6
Step-by-step explanation:
the sentence ‘3x is at most -6
means that the most 3x is allowed to be is -6
it can be -6 or any number less than -6
So, the phrase 3x is at most -6
’ means ‘
3x ≤ -6
n/24-40=37 solve for n
Answer:1848
Step-by-step explanation:
good luck with the test or whatever you are doing
NO LINKS PLEASE! AND NO NEGATIVITY!
Which value of k makes 5-k + 12 = 16 a true statement? Choose 1 answer. А k = 1 B k = 2 k = 3 k=4
PLEASE HELP ME AND SAVE MY LIFEE
ILYYY
Answer:
option A
K = 1
is the answer.
hope it helps
Given the function f described by fly)=9y2 + 7y-6, find the function values.
f(-5) = 0
(Simplify your answer. Type an integer or a fraction.)
Answer:
f(- 5) = 184
Step-by-step explanation:
Substitute y = - 5 into f(y) , that is
f(- 5) = 9(- 5)² + 7(- 5) - 6
= 9(25) - 35 - 6
= 225 - 41
= 184
Find a formula for the Nth term of sequence:
3,5,9,17
Answer:
an = 1 +2^n
Step-by-step explanation:
The given terms do not have a common ratio or a common difference. The differences of the given terms are ...
5 -3 = 2
9 -5 = 4
17 -9 = 8
These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.
The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...
an = 1 +2^n
Answer:
Try!
Step-by-step explanation:
solve pls brainliest
Answer:
yes
Step-by-step explanation: brainly
A board isThree boards are placed end to end to make a walkway. The first board is 2 feet 8 inches long, the second board is 6 feet 10 inches long, and the third board is 4 feet 9 inches long. How long is the walkway?
93 inches long. How long is it in feet and inches?
Answer:
wowo
Step-by-step explanation:
2x-6y= 12 3y=x+6 how many solutions does this problem have? No solution, one solution, or infinite solutions
Given points A(6,4),B(-2,1)and C(5,0), graph triangle ABC and its reflection image across each line. The x-axis
Answer:
A’ (6, -4)
B’ (-2, -1)
C’ (-5, 0)
Step-by-step explanation:
When reflecting anything across the x, the x values stay the same and the y values become opposites. When reflecting anything across the y, the x values become the opposites and the y values stay the same.
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Reflection is the flipping of a figure. If a point A(x, y) is reflected across the y axis, the new point is at A'(x, -y). Given the vertices of the triangle at A(6,4), B(-2,1) and C(5,0).
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
Find out more on reflection at: https://brainly.com/question/14062035
A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?
Divide distance by time:
3.2 meters / 5 minutes = 0.64
The descent was -0.64 meters per minute
Answer:
.64
Step-by-step explanation:
Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.
It would look like 3.2/5
The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
Jessica received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.76 per pound. After buying the coffee, she had $33.44 left on her card. How many pounds of coffee did she buy?
Answer:
Set up an equation
80 dollars is what we started off with
$7.76 per unknown pounds is the money you used
Jessica is left with 33.44 now
80 - 7.76x = 33.44
-80 -80
-7.76x = -46.56
/-7.76 /-7.76
x = 6 pounds
1.3 ½ days=______hrs.
2.2400 mm=_______meter
3.1 hr and 20 min.=______seconds
4.100 kilograms=______grams
5.104 °C =_______°F
Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.
Answer:
AC = 55°
Step-by-step explanation:
In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.
AC + AB + BD = CD
2AC +80 = 170
AC = 110/2 = 55
The measure of arc AC is 55°.
Answer:
AC = 55°
Step-by-step explanation:
because the measure is part of CD. Hope this helps!
What is the slope of the line that passes through the points {-3,3} and {-3,13}?
Answer:
undefined
Step-by-step explanation:
A shop has a sale that offers 40% off all prices. On the final day, they reduce all sale prices by 30%. Alex buys a hairdryer on the final day.
Work out the overall percentage reduction on the price of the hairdryer.
Answer:
82%
Step-by-step explanation:
They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%
I need help. what is the slope?
(The bottom one says : (-1, -6)
