Answers
[tex]\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}[/tex]
Check the picture below.
Related Questions
-6x +7 = -6x + 7 is a no solution or one solution or infinitely many solutions?
Answers
Answer:
IM because they are the same!!
YOUR WELCOME
Step-by-step explanation:
Multiple
c(2/3a +1/4b)
Answers
Answer:
8bc/12ab + 3ac/12ab
Step by step explanation:
c×(2/3a +1/4b)
c× (8b/12ab + 3a/12ab)
8bc/12ab + 3ac/12ab
HELP WITH ALGEBRA 2
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides
Answers
Answer:
algebra
Step-by-step explanation:
bra
Number 19 and 20 pleaseeeeeeeee
Answers
Answer:
19. a) yes; acute triangle
20. a) no, because 4+2<7
Answer:
You did it correct
but last it no
Step-by-step explanation:
bc i said so and i have same book at school
answer please i need for homework
Answers
Answer:
first 1 is 1.6 x 10 ^-6 then second one is 20000000 which in sf is 2 x 10^7
Step-by-step explanation:
hope that helps xx
Answer:
Any time a positive number is multiplied by a negative number, the positive number will be turned into a negative number.
a)
-8,000 x -20,000 = 160,000,000 one hundred sixty million
b)
600 ÷ -300,000 = 0.002 or -500
A ferris wheel can accommodate 70 people in 20 minutes. How many people could ride the ferris wheel in 5 hours? What was that rate per hour?
Answers
Answer:
210 is the rate per hour and 1,050 people in 5 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to get answer to people per hour first. 70 people could ride the ferris wheel in 20 minutes. 20 minutes is 1/3 of 60 minutes, which is an hour. So you multiply both the time and the amount of people by 3. 70 times 3 is 210. This is the amount of people that could ride the ferris wheel in 1 hour. Then, we need to multiply this number by 5, because we need the amount of people that could ride the ferris wheel in 5 hours, not 1 hour. So 210 times 5 is 1,050. 1,050 people could ride the ferris wheel in 5 hours.
Next, we need to find the rate per hour. You already have the answer to that though. It is the amount of people that could ride the ferris wheel, so your previous number: 210. Your rate would be 210 people per hour could ride the ferris wheel.
You're welcome, stranger :)
can i get some help on this please
Answers
Answer:
1
Step-by-step explanation:
C = (9,2) & D = (-7,-9)
x₁ = 9 x₂ = -7
∴
[tex]\frac{9+(-7)}{2}[/tex] = 1
the grand river is about 280km long. what is the length of this river on a map with scale of 1cm: 25km?
Answers
scale 1 cm............25 km
n cm...........280 km
25 x n = 1 x 280
n = 280 : 25
n = 112 cm on the map
Find the discounted price, to the nearest cent, for a portable CD player that sells for $59.95 and is on sale for 30% off.
Answers
Answer:
$ 41.97
Step-by-step explanation:
59.95x30%=17.98
59.95-17.98=41.97
Kevin wrote a total of 12 pages over 3 hours. How many hours will Kevin have to spend writing this week in order to have written a total of 20 pages? Assume the relationship is directly proportional.
Answers
Answer:
It will take him 5 hrs to write a 20-page essay because he can write 4 pages in 1 hour.
Hope this helps!
Answer:
5 hours
Step-by-step explanation:
For 12 pages, he spent 3 hours. So it takes him 1 hour to write 4 pages. (12 ÷ 3 = 4) If for each 4 pages 1 hour is spent respectively, then for 20 pages: 20 ÷ 4 = 5 hours will be spent.
base: h=10cm, b=12cm
face 1: l=11cm, w=15.6cm
face 2: l=11cm, w=12cm
face 3: l=10cm, w=11cm
Enter numerical value only.
SA = _____ cm2
Answers
The surface area of the triangular prism is 533.6 cm².
Surface area of a triangular prismSA = bh + (x + y + z)lwhere
b and h are the base and height of the triangular base. Therefore,
b = 12 cmh = 10 cmTherefore,
x = 12 cm
y = 10 cm
z = 15.6 cm
l = 11 cm
Therefore,
SA = 12 × 10 + (12 + 10 + 15.6)11
SA = 120 + (22 + 15.6)11
SA = 120 + (37.6)11
SA = 120 + 413.6
SA = 533.6 cm²
learn more on triangular prism here: https://brainly.com/question/13512346
The amount of money invested in a retirement fund is an example of which of the following?
a.
investment asset
b.
liquid asset
c.
long term asset
d.
use asset
Answers
Answer:
long tern asset
Step-by-step explanation:
) Mr. Rivera is making a healthy dessert for his nephew who has diabetes. He wants
to choose the recipe with the least amount of sugar per serving. Apple crisp has
8 servings and contains 80 grams of sugar. Greek frozen yogurt has 12 servings
and contains 60 grams of sugar.
- How much sugar per serving does each dessert have? Complete the
Answers
Answer:
see below
Step-by-step explanation:
Apple crisp has
8 servings and contains 80 grams of sugar.
80 grams / 8 servings = 10 grams per serving
Greek frozen yogurt has
12 servings and contains 60 grams of sugar.
60 grams / 12 serving = 5 grams per serving
He should make Greek frozen yogurt
Answer:
He should make Greek frozen yogurt!
Step-by-step explanation:
Apple crisp has
8 servings and contains 80 grams of sugar.
80 grams / 8 servings = 10 grams per serving
Greek frozen yogurt has
12 servings and contains 60 grams of sugar.
60 grams / 12 serving = 5 grams per serving
He should make Greek frozen yogurt
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance of about 467.3 miles. A second flight option flies first to city C and then connects to A. The bearing from B to C is N28.7E, and the bearing from B to A is N60.7E. The bearing from A to B is S60.7W, and the bearing from A to C is N79.1W. How many more frequent flyer miles will Adam receive if he takes the connecting flight rather than the direct flight?
Answers
Answer:
The value is [tex] k =109.6 \ miles [/tex]
Step-by-step explanation:
The diagram illustrating the question is shown on the first uploaded image
From the question we are told that
The distance from city A to B is AB = 467.3 miles
The bearing from B to C is [tex]\theta_{BC} = N 28.7E[/tex]
The bearing from B to A is [tex]\theta_{BA} = N 60.7E[/tex]
The bearing from A to B is [tex]\theta_{AB} = S60.7W[/tex]
The bearing from A to C is [tex]\theta_{AC} = S79.1W[/tex]
Generally from the diagram
[tex]\theta_A = 180 - 60.7 -79.1[/tex]
=> [tex]\theta_A = 40.2 ^o[/tex]
Also
[tex]\theta_B = 32^o [/tex]
and
[tex]\theta_C = 180 - (\theta_A +\theta_B )[/tex]
=> [tex]\theta_C = 180 - (40.2 + 32 )[/tex]
=> [tex]\theta_C = 107.8 ^o[/tex]
Generally according to Sine Rule
[tex]\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}[/tex]
=> [tex]\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}[/tex]
So
[tex]\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}[/tex]
=> [tex]BC = 316.8 \ miles[/tex]
Also
[tex]\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}[/tex]
[tex]CA = 260 .1 \ miles [/tex]
Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as
[tex]k = [CA +BC] - AB [/tex]
=> [tex] k = [260 .1 +316.8]- 467.3 [/tex]
=> [tex] k =109.6 \ miles [/tex]
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0. 30. The students feel the proportion of blue beads is lower than 0. 30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H0:p=0. 30 and Ha:p<0. 30, is 0. 45. What is the correct interpretation of this value?
There is a 4. 5% chance the proportion of blue beads in the container is 0. 3.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the null hypothesis is true.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone.
Assuming the true proportion of blue beads in the container is less than 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone
Answers
Answer: C
Step-by-step explanation:
P - Value
Is the evidence against the null hypothesis.
The lower the p-value, the greater the chance of rejection of the null hypothesis.
The greater the p-value, the greater the chance to accept the null hypothesis.
So, in other words, the question asks the probability of having accepted a null hypothesis.
So using the above statement we can say that statement C is true.
The midpoint of AB is M(4,4). If the coordinates of A are (2, 1), what are the
coordinates of B?
Answers
Answer:
(6, 7)
Step-by-step explanation:
Hope this helps.
The midpoint of the line segment AB is M. Then the coordinate of the point B will be (6, 7).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The midpoint of AB is M(4,4). If the coordinates of A are (2, 1). Then the coordinate of the point B will be given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
(4, 4) = [(2 + x₂) / 2, (1 + y₂) / 2]
Compare the abscissa, then we have
(2 + x₂) / 2 = 4
(2 + x₂) = 8
x₂ = 8 - 2
x₂ = 6
Compare the ordinate, then we have
(1 + y₂) / 2 = 4
1 + y₂ = 8
y₂ = 8 - 1
y₂ = 7
The midpoint of the line segment AB is M. Then the coordinate of the point B will be (6, 7).
More about the mid-point of the line segment link is given below.
https://brainly.com/question/17188072
#SPJ5
please help 100 points please
Answers
Solution:
We know that:
Area of trapezoid = (a₁ + a₂)h/2a₁ = 8 inches; a₂ = 8 + 4 + 4 inches; Height = 6 in.This means that:
Area of trapezoid = (8 + 8 + 4 + 4)6/2Step-by step calculations:
Simplify the numerator:
Area of trapezoid = (8 + 8 + 4 + 4)6/2=> Area of trapezoid = (24)6/2Cancel the denominator:
=> Area of trapezoid = (24)3Simplify the term:
=> Area of trapezoid = 72 in²Area:-
[tex]\\ \rm\rightarrowtail 1/2(sum\:of\: parallel\:sides) Height [/tex]
[tex]\\ \rm\rightarrowtail 1/2(16+8)(6)[/tex]
[tex]\\ \rm\rightarrowtail 3(24)[/tex]
[tex]\\ \rm\rightarrowtail 72in^2[/tex]
A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. A 2-column table with 6 rows. The first column is labeled month with entries 1, 2, 3, 4, 5, 6. The second column is labeled number of births with entries 137, 110, 93, 70, 65, 77. Find a quadratic function that models the data. Round numerical values to the nearest whole number. F(x) = x2 x Use the function to predict the number of births for month 8. There will be about births.
Answers
The hospital uses the quadratic model to predict the number of births
The equation of the quadratic model is f(x) = 4 x^2 -43 x +178, and the number of births for month 8 is 90
How to determine the quadratic modelTo determine the quadratic model, the make use of a graphing calculator, that has the following calculation summary
a = 4.339 b = -43.461 c = 178.3A quadratic model is represented as:
[tex]y= ax^2 + bx + c[/tex]
So, we have:
[tex]y = 4.339 x^2 -43.461 x +178.3[/tex]
Approximate
[tex]y = 4 x^2 -43 x +178[/tex]
Rewrite as:
[tex]f(x) = 4 x^2 -43 x +178[/tex]
At the 8th month, we have x = 8.
So, the function becomes
[tex]f(8) = 4 * 8^2 -43 *8 +178[/tex]
[tex]f(8) = 90[/tex]
Hence, the number of births for month 8 is 90
Read more about quadratic models at:
https://brainly.com/question/1214333
Answer:
4
-43
178
90
Step-by-step explanation:
yep
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
Answers
Answer:
Conjecture
Disjunction
Counterexample
Conjunction
Inductive reasoning
Conditional
Step-by-step explanation:
I used Quizlet and I knew most of them.
Plz help!!!
Solve 6 (u - 4) - 8 = -6 (-4u + 6) -2u
Combine like-terms before solving
Answers
First do the first part which is 6(u-4)-8, you first distribute 6 to u and -4, 6u-24-8
-24-8=-32, 6u-32
Second part the same thing , distribute -6 to -4u and 6, (negative times a negative equals a positive) 24u-36-2u
24u-2u=22u
Solving:
6u-32=22u-36
Subtract 6u on both sides, -32=16u-36
Add 36 on both sides, 4=16u
Divide 16 on both sides
U=4/16 which is 0.25
Sierra was charged $576 in interest for borrowing $4,800 for 2 years. What was the interest rate?
Answers
Answer:
My best guess would 16.6
I hope that helped! :)
will give brainliest
Answers
Answer:
A' = ( 3+1,2+2) =(4,4)
B'=(4+1,5+2)=(5,7)
C'=(6+1,3+2)=(7,5)
hope you like the answer
mark the answer as brainliest
What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 27. Fully simplify your answer.
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]12x-9y = 27\implies -9y=-12x+27\implies y=\cfrac{-12x+27}{-9} \\\\\\ y=\cfrac{-12x}{-9}+\cfrac{27}{-9}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-3\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}[/tex]
1. 5m + zm + 5n + zn
Answers
Answer:
The question is not clear. Is this the complete question?
what is the slope of the line that has a y-intercept of -1?
Answers
Answer:
it should be either x or y
Step-by-step explanation:
you only said one number...
5 times - 2+7 times +12 ?
[its algebra]
Answers
Answer:
5(-2+7+12)
-10+35+60
-10+95
=85
The Nike factory has just finished up a new order of Air Jordan XIII sneakers to be released soon. They just produced 5,814 new pairs of the sneakers. If the company wants to evenly distribute the sneakers evenly among their 17 warehouses, how many pairs of the Air Jordan sneakers will each warehouse receive?
Answers
Answer:
342 pairs
Step-by-step explanation:
Given that,
New pair of sneakers produced by the Nike factory = 5,814
The company wants to distribute the sneakers evenly among their 17 warehouses.
We need to find the no of pairs of the Air Jordan sneakers will each warehouse receives. It can be calculated as follows :
[tex]n=\dfrac{\text{total pair of sneakers}}{\text{no of warehouses}}\\\\n=\dfrac{5814}{17}\\\\n=342[/tex]
It would mean that each warehouse will receive 342 pair of sneakers.
Translate this sentence into an equation
The product of 7 and Diego’s savings is 105, use the variable d to represent Diego’s savings
Answers
Solution:
Given:
Diego's savings = dRereading the phrase carefully:
[The product of 7 and Diego’s savings] [is] [105] ↥ ↥ ↥ 7d = 105Equation created: 7d = 105
Colton is driving on a long road trip. he currently has 11 gallons of gas in his car. each hour that he drives, his car uses up 1.25 gallons of gas. how much gas would be in the tank after driving for 6 hours? how much gas would be left after tt hours?
Answers
Answer:
Gas left after 6 hours: 3.5
Gas left after t hours: 11-1.25t
Slove
.........................................................................
Answers
Answer:
2/9
Step-by-step explanation:
hope this helps!
Answer:
The answer is 2/9
Step-by-step explanation: