Answer:
zero = (-1,0)
Step-by-step explanation:
Since the slope is 3, you are going to take the given point and go back one space (behind the given point), continue to go up the lines and you should be given the point (0,-3), then you keep this process going until you get your zero (x-axis meeting point) :)
Which expression is equivalent to 36a-12b?
3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)
Answer:
6(6a-2b)
Step-by-step explanation:
Answer:
6(6a-2b)
Step-by-step explanation:
if you multiply the 6 by what's in parenthesis you get 36a-12b
Samantha knows that she needs $22,000 for a 10% down payment on a house she can afford. She found an investment that earns 2.75% interest compounding monthly. How much should she put in the account now, rounded to the nearest dollar, to ensure she has the down payment amount in 5 years?
$4,320
$19,177
$13,371
$5,649
Answer:
19,177
Step-by-step explanation:
I took the test
i want derivative for (x+1)^2×e^x
please help
Answer:
(x + 1)(x + 3)eˣ
Step-by-step explanation:
Since f(x) = (x + 1)²eˣ
df(x)/dx = d[(x + 1)²eˣ]/dx
By the product rule, duv/dx = udv/dx + vdu/dx
where u = (x + 1)² and v = eˣ
So, df(x)/dx = d[(x + 1)²eˣ]/dx
= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx
= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx (by the chain-rule dy/dx = dy/du × du/dx)
= (x + 1)²eˣ + eˣ[2(x + 1) × 1]
= (x + 1)²eˣ + 2eˣ(x + 1)
= (x + 1)eˣ(x + 1 + 2)
= (x + 1)eˣ(x + 3)
= (x + 1)(x + 3)eˣ
Simplify the ratio 154:132 in its simplest form
Answer:
The simplified ratio is 7:6
Step-by-step explanation:
First we have to find the GCF of both 154 and 132. Since the GCF is 22, we will divide 154 by 22 and we get 7. Now divide 132 by 22 and we get 6. Therefore, the simplest form or the ratio 154:132 is 7:6.
I also need to know what m∠cdb is
Answer:
x = 4
m<cdb = 82
Step-by-step explanation:
The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:
7x + 2 + 17x = 98
24x + 2 = 98
24x = 96
x = 4
m<cdb =
y + 98 = 180
y = 180 - 98
y = 82
HeLp! the question is on the picture.
Answer:
sin ∅ = 24/25
Step-by-step explanation:
These are the trigonometric ratios
Remember SOHCAHTOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
We are asked to find sin ∅
The trig function sin = opposite over hypotenuse
so we need to find the opposite side length of the indicated angle (∅)
The opposite side length is equal to 24
Then we find the hypotenuse ( the longest side length ) which would be 25
so sin ∅ = 24/25
A parabola has its minimum point at (3,-5) and the y coordinate of the y-intercept is -2.
What is the equation of the parabola?
Answer:
y = [tex]\frac{1}{3}[/tex] x² - 2x - 2
Step-by-step explanation:
x-coordinate of the vertex of a parabola is ( [tex]- \frac{b}{2a}[/tex] )
y = f(x) = ax² + bx + c
(x, y) ∈ f(x)
~~~~~~~~~
{ (0, - 2), (3, - 5) } ⊂ { (x, y): y = ax² + bx + c }
a(0)² + b(0) + c = - 2 ⇒ c = - 2
a(3)² + b(3) + ( - 2) = - 5
9a + 3b - 2 = - 5 ⇒ 3a + b = - 1
[tex]- \frac{b}{2a}[/tex] = 3 ⇒ b = - 6a
[tex]\left \{ {{3a+b=-1} \atop {b=-6a}} \right.[/tex]
3a + ( - 6a) = - 1
a = [tex]\frac{1}{3}[/tex]
b = - 2
y = [tex]\frac{1}{3}[/tex] x² - 2x - 2
The equation of the parabola for the given values is y = x²/3 - 2x - 2.
What is a parabola?A parabola is the part of the conic section of which the points are equidistant from a fixed line called as directrix and a fixed point known as focus.
The general equation for the parabola is given as,
y = ax² + bx + c
Where c is the y-intercept.
Substitute c = -2 as per the question to obtain,
y = ax² + bx - 2
At (3,-5) the parabola has minimum value which implies y' = 0 as below,
y' = 2ax + b = 0
Substitute x = 3 to obtain,
2a × 3 + b = 0
=> -6a = b
And, y = -5 at x = 3 which gives,
-5 = 3²a + 3b - 2
=> 9a + 3b = -3
Substitute b = -6a to get,
9a - 18a = -3
=> a = 1/3
Which implies b = -6 × 1/3 = -2
Now, the equation for the parabola becomes as below,
y = x²/3 - 2x - 2
Hence, the required equation of the parabola is obtained as y = x²/3 - 2x - 2.
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Philip use 40% off coupon on a single item in the craft store which saved him $16.42 what would the item have cost if he had not use the coupons?
Answer:
$41.05
Step-by-step explanation:
[tex]\frac{40}{100} =\frac{16.42}{x}[/tex]
[tex]40x=1642[/tex]
[tex]x=41.05[/tex]
So, the original price is $41.05.
In the phrase "rise over the run", what does rise indicate?
Group of answer choices
The difference in y coordinates between two points on a line.
The difference x coordinates between two points on a line.
The difference between the x intercept of a line and the y intercept of a line.
The difference between a line's slope and its length
simplify 4^3 x 4^5 a. 16x15 b. 16^8 c. 4^15 d. 4^8
Answer:
4^8
Step-by-step explanation:
4^3 x 4^5 = 4^3+5 = 4^8 = 65536
Below is the graph of the equation y=|x+2|-1. Use this graph to find all values of x such that
y>0
y<0
y=0
Please Help I will award the brainiest
Answer:
y>0, -3>x> -1
y<0, -3<x<-1
y = 0, x = -3 and x = -1
Step-by-step explanation:
Answer:
Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.
Have a good day!
(b) 3, 3, 5 and
HOMEWORK: Complete the activity in your classwork e
the questions before you consult the memorandum att
ACTIVITY 1:
x
.) Find all the prime factors of each of the following
a) 825
(b) 999
-) 538
(d) 113
Answer:
a 3,5,5,11
b 3,3,37,3
- 2,269
d 113, as it is a prime factor
Write a congruence statement for the angles and/or sides that are given. State what additional information is required in order to know what the triangle are congruent for the given reason. WILL MARK BRIANLIEST !!!!!!!!! HELPP !!!
Step-by-step explanation:
Required information to prove the triangles are congruent:
AB=FE
Then you can say they are congruent by SAS
identify the arc length of TV◠ in terms of π.
Answer:
3.67
Step-by-step explanation:
Tommy's salary increases by 4% each year. This year, Tommy's salaray was $42,250. How much will her salary be in 7 years?
**Simplify ALL of the way and round to the NEAREST whole number**
Answer:
$295,750
Step-by-step explanation:
Given
Tommy's salary increases by 4% each year.
Increase to 4%
1 year = $42,250
7 years = $?
To find
So if 1 year is $42,250, then to find 7 years, you multiply the given by what you are trying to find.
Set up.
1/42250 x 7/x =
295,750
Therefore, Tommy's salary be in $295,750 7 years.
Which equation would demonstrate the identity property? A. (3 • 4) + (3 • 5) = 3(4 + 5) B. 3 • 5 = 5 • 3 C. 3 • 4 • 5 = (3• 4) • 5 D. 4 • 1 = 4
Answer:
D. 4 • 1 = 4
Step-by-step explanation:
In Mathematics, we have two kinds of Identity property
a) Identity property of Addition
This means that when you add a number to zero, it gives you that same number
Example: 6 + 0 = 6
b) Identity property of Multiplication,
This means that, when a number is multiplied by 1, it gives that same number.
Example: 8 × 1 = 8
Therefore, from the above question, the equation that demonstrates identity property is 4 • 1 = 4
Option D is the correct answe
(2x-7)(5x+75)=0
Solve this using factoring, what are the two x’s?
Note : a × b = 0 ==》 a = 0 Or b = 0
_________________________________
( 2x - 7 )( 5x + 75 ) = 0
2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2
===》 x = 3.5
Or
5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5
==》x = - 15
Step-by-step explanation:
(2x-7)(5x+75)=0
2x(5x+75) -7 (5x+75)=0
10x^2 + 150x - 35x - 525 =0
10x^2 + 115x - 525 =0
5(2x^2 + 23x - 105 ) =0
2x^2 +30x-7x - 105 =0
2x ( x + 15 ) -7 ( x + 15) = 0
(2x-7) (x + 15) =0
so, 2x-7=0 and x+15 =0
x = 7/2 and x = -15
#cancelicseboardexam2021
B
✓97
B
4
6°
A
9
С
Select all true statements:
A) sin (©) = Vo
| B) tan (8) = 3
| C) tan (8) =
D) cos(B) = to
E) 42 +92 = 97
Answer:
I need help with the answer as well
Step-by-step explanation:
The values of several terms in a sequence are shown in the table.
Second=5
Fourth=12
Seventh=22.5
Find the first term, f (1).
Answer:
1.5
Step-by-step explanation:
You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.
Jasmine bought a ticket to the Jets game. She got a 25 % 25% discount on her ticket but then had to pay a 10 % 10% service fee on the discounted price. Jasmine’s final ticket price was what percent of the original ticket price?
Answer:
15%
Step-by-step explanation:
Ariana just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. If she keeps up this plan for 12 weeks, how many total miles would Ariana have run, to the nearest whole number?
Answer: sarah ran 150 miles in 12 weeks
Step-by-step explanation:
the local market is selling a pound of bananas for $0.55. if you bought 8 bananas for $1.44, what is the unit rate?
Answer:
$0.18
Step-by-step explanation:
Given that :
Number of bananas purchased = 8
Cost at which the 8 bananas were purchased = $1.44
The unit price of bananas can be obtained using the relation :
Total Cost of bananas / number of bananas
Unit price = $1.44 / 8
Unit price = $0.18
Price per unit of banana = $0.18
Which of the following does a rigid motion preserve?
A. Side lengths only
B. Angle measures only
C. Side lengths and angle measure
D. Neither side lengths nor angle measures
Answer:
c
Step-by-step explanation:
6. CHALLENGE How many sides does a
regular polygon have if the measure of
an interior angle is 171°?
Answer:
40
Step-by-step explanation:
It is given that the measure of interior angle of a polygon is 171∘ . So, the correct answer is “ 40 ”.
If a and B are angles which tan a= 3/4 and cos B= 8/17. Determine the exact value of cos(a-B)
Answer:Life table of males at age 30. Probability of dying between ages x and x+1
total population:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061
males:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448
white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037
white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399
non Hispanic white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116
non Hispanic white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503
Jacob, non Hispanic white male. 30 years old.
Probability that Jacob lives to be 30 years old.
Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.
Probability of living to be 30 y.o.
29 - 30 : 1 - 0.001477 = 0.998523
30 - 31 : 1 - 0.001503 = 0.998497
Step-by-step explanation:
Life table of males at age 30. Probability of dying between ages x and x+1
total population:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061
males:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448
white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037
white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399
non Hispanic white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116
non Hispanic white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503
Jacob, non Hispanic white male. 30 years old.
Probability that Jacob lives to be 30 years old.
Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.
Probability of living to be 30 y.o.
29 - 30 : 1 - 0.001477 = 0.998523
30 - 31 : 1 - 0.001503 = 0.998497
Brianna wants to know how many internet-compatible devices are owned, on
average, by people in her town. Can she use her sample data to form a valid inference
about the town? Explain.
Answer:Who is BRIANNA
Step-by-step explanation:
Julie's gross pay is $1,008.71. Her deductions total of $386.00 what is her net pay?
Answer:
i believe it is 622.71 im not sure tho
Step-by-step explanation:
Answer:
$622.71
Step-by-step explanation:
Net Pay = Gross Pay - Deductions
Net Pay = $1,008.71 - $386.00
Net Pay = $622.71
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Jeanie bought 5 pounds of apples for $5.50. How much do the apples cost per pound?
$0.55
$1.10
$1.05
$1.00
Answer:$1.10
Step-by-step explanation:n/A
Answer: $1.10
Step-by-step explanation:
took the test
Solve the system using elimination show all work for full credit.
X + 3y = -14
4x - 3y = 2
Help me
x = −12/5 and y = −58/15
Step-by-step explanation:
x+3y=−14
4x−3y=2
Add these equations to eliminate y:
5x = −12
Then solve 5x = −12 for x:
5x = −12
5x/5 = −12/5 (Divide both sides by 5)
x = −12/5
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
x + 3y = −14
Substitute −12/5 for x in x + 3y = −14:
−12/5 + 3y = −14
3y + −12/5 = −14
(Simplify both sides of the equation)
3y + −12/5 + 12/5 = −14 + 12/5
(Add 12/5 to both sides)
3y = −58/5
3y/3 = −58/5/3
(Divide both sides by 3)
y = −58/15
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set?
The least and greatest weights of the potatoes in the data set are 1/8 and 3/4 respectively.
How to find the least and greatest weight?The weight of the potatoes are:
1/4 = 0.253/8 = 0.3755/8 = 0.6251/2 = 0.53/4 = 0.751/8 = 0.125Therefore, the least weight of the potatoes is 1/8 equivalent to 0.125
The greatest weight of the potatoes is 3/4 equivalent to 0.75
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