58. Graph the function y=x^2+3x-18. How many real roots does the function have?
59. In #58, what value or values of the roots satisfy the function (if any exist)
Answers
9514 1404 393
Answer:
58. 2 real roots; see attached for a graph
59. -6, 3
Step-by-step explanation:
58. A graphing calculator graphs this easily. The graph is shown in the attachment. There are 2 x-intercepts, hence 2 real roots.
__
59. The x-intercepts are (-6, 0) and (3, 0), so the x-values x=-6 and x=3 satisfy the equation y = 0.
Related Questions
in archery competition,Lisa hit 2 more than jenny.althogether they hit 82 . how many did Jenny hit ?
Answers
Answer:
40
Step-by-step explanation:
let L be lisa's hit and J be jenny's
given that
L+J = 82 and
L = J+2
equate the two together
J+2+J=82
2J = 82-2
J= 80/2
J=40
Pls help me with this questions
Answers
Answer:
20 < x < 40
Step-by-step explanation:
16 < x - 4 < 36 ( add 4 to each interval )
20 < x < 40
Solve the system using elimination.
X + 7y = 25
2x - 7y = -13
Answers
Answer:
Step-by-step explanation:
________ sampling is the sampling method that is not based on chance or randomness but based on an inherently biased selection process.
Answers
Non-probability sampling is the sampling method that is not based on chance or randomness but based on an inherently biased selection process.
What is Non-probability sampling?Non-probability sampling is known to be a type of sampling method where the researcher often selects samples using subjective judgment instead of random selection.
This type of sampling do not make use of randomness and as such it is known to a less stringent method of sampling. IT is one that is based on the expertise of the researchers.
Learn more about sampling method from
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What is the measure of DA? (in a parallelogram)
Answers
Answer:
DA = 24
Step-by-step explanation:
the opposite sides of a parallelogram are congruent , then
CD = BA , that is
5x - 18 = 2x + 12 ( subtract 2x from both sides )
3x - 18 = 12 ( add 18 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
CB = 3x - 6 = 3(10) - 6 = 30 - 6 = 24
so
DA = CB = 24
Which set of numbers does NOT describe the side lengths of a right
triangle?
F 7, 24, 25
G 9, 40, 41
H 12, 35, 37
J 15, 18, 23
Answers
Answer: J
Step-by-step explanation:
Just substitute each of the sets into the Pythagorean Theorem - only J doesn't work.
what is the point slope form of (2,-6) , (4,0)
Answers
Hope this helps
Graph the system of equations.
f(x)=x^2−5x+7
g(x)=2x+1
Which statements are true about the solutions to the system of equations?
Select each correct answer.
The x-coordinate of a solution to the system of equations is 1.
The y-coordinate of a solution to the system of equations is 3.
The x-coordinate of a solution to the system of equation is 3.
An ordered pair that is a solution to the system of equations lies on the y-axis.
An ordered pair that is a solution to the system of equations lies in Quadrant III.
Both ordered pairs that are solutions to the system of equations are in Quadrant I.
Answers
We need to graph them first
Both attachedSolutions are
(1,3)(6,13)So
Option A,B,F are correct
For Future Refernce-
The Answers
The x-coordinate of a solution to the system of equations is 1.
Both ordered pairs that are solutions to the system of equations are in Quadrant I.
The y-coordinate of a solution to the system of equations is 3.
(source- k-12 Algebra 1 Checkpoint.)
ASAP 50 POINTS
Select the correct answer.
Which function has a restricted domain?
Answers
Answer:
Therefore, option B is correct.
[tex]\large\boxed{\sf y=\left(3x\right)^{\frac{1}{5}}-4}[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\left(-x+3\right)^{\frac{1}{2}}}[/tex] Has a domain x < 3
[tex]\large\boxed{\sf y=-\left(x+8\right)^3 }[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\:\left(4x\right)^2-5}[/tex] Has infinity domain
Answer:
2nd one
Step-by-step explanation:
Here if we simplify
[tex]\\ \rm\Rrightarrow (-x+3)^{1/2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{-x+3}[/tex]
So
-x+3>=0-x>=-3x<=3So domain is restricted
Option B
The vertex form of the function is Choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 + 8x – 3 y = (x + 2 + RETRY y = x2 + 8x + 8-3-8 y = x2 + 8x + 8 – 3+ 8 ✓ y = x2 + 8x + 16 - 3-16 X y = x2 + 8x + 16 - 3 + 16 COMPLETE
Answers
Answer:
vertex form is y=(x+4)^2-19
Step-by-step explanation:
Answer:
(4,-19)
Step-by-step explanation:
Alexa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has tripled her salary from when she was working part-time to pay her expenses through school. How should this increased income affect her budget? Make comparisons with her previous budget and her current budget. Monthly Budget Previous Budget Current Budget Income Wages $800 $2400 Expenses Rent Utilities Groceries Savings Bus Pass $300 $60 $200 $100 $30 $300 $60 $250 $150 $30 Net Income $110 $1610 a. Alexa is earning quite a bit more money and her expenses reflect the change in income. B. Alexa is earning quite a bit more money than she was previously. She has worked hard and deserves to spend a lot of money on herself. C. Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account. D. Her increased income should have no effect on her financial decisions. Please select the best answer from the choices provided A B C D.
Answers
From the table it is obvious that Alexa is earning quite a bit more money than she was previously.
What is a budget?The term budget refers to an organized plan for income and expenditure. Budget usually helps a person to prioritize certain issues over others when making purchases.
We can see from the question that Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account.
Learn more about budget: https://brainly.com/question/15712390
Answer: C
Step-by-step explanation: I just took the test
∠A and ∠B are complementary. The measure of ∠A is 32°. What is the measure of ∠B? Enter your answer in the box. °
Answers
Answer:
∠B = 58°
Step-by-step explanation:
∠A and ∠B are complementary.
-> ∠A + ∠B = 90°
-> 32° + ∠B = 90°
-> ∠B = 90° - 32°
-> ∠B = 58°
Answer:
<B = 58
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
If A and B are angle when added will form 90°, to find B we follow the following steps
A + B = 90
if A = 32°,
32 + B = 90
collect like terms
B = 90 - 32
B = 58
that means
32 + 58 = 90
B = 58
Do mark Brainliest
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot if there are 35 cars?
Answers
35 cars / 5 (ratio of cars) = 7
7 x 4 (ratio of trucks) = 28 total trucks
total cars and trucks = 28 + 35 = 63
Answer:
28 trucks when there are 35 cars
28:35
What single percentage change is equivalent to a 12% increase followed by a 14% decrease?
Answers
Answer:
3.68% decrease
Step-by-step explanation:
12% increase = 112% of the original value
112% as a decimal = 112/100 = 1.12
14% decrease = 100% - 14% = 86% of the original value
86% as a decimal = 86/100 = 0.86
Therefore, if you increase the number n by 12% and then decrease by 14%:
n × 1.12 × 0.86 = n × 0.9632
0.9632 as a percentage = 0.9632 × 100 = 96.32%
Therefore, the overall percentage change is 100% - 96.32% = 3.68% decrease
A triangle has side lengths of 7 and 14.
Select all of the possible lengths for the third side.
7
12
14
17
Answers
Answer:
12
14
17
Step-by-step explanation:
The rule with the sides of a triangle is whenever two sides add up it has to be greater than the third side.
For example: 17+7 = 24 , 24 >14, AND 14+17 = 31, 31<7 so 17 is a possible side for the triangle.
HOPE THIS HELPS :)
7^2 + B^2 = 14^2
49 + B^2 = 196
196-49=147
Then radical 147
Then your answer will be 12.12
Then round the answer to the nearest whole number
Your answer: 12
A group of students collected old newspapers for a recycling project. The date shows the mass, in kilograms, of old newspapers collected by each student. What percent of students collected between 49 kilograms and 98 kilograms of newspapers?
Answers
The percentage of students who collected more than 49kg and less than 98kg of old newspapers is 54.54%
How to calculate the percentage of students who collected more than 49kg and less than 98kg?
To calculate the percentage of students who collected between 49kg and 98kg of old newspapers we must perform the following operations:
We must count how many students are in the range of 49kg to 98kg of old newspapers: 12 students out of 22 students.
100 ÷ 22 = 4.54%4.54 × 12 = 54.54%So, those 12 students are equivalent to 54.54% of students.
Learn more about percentages in: https://brainly.com/question/1691136
multiplicative inverse of 3.5
Answers
To go to the dog beach, it costs $3 plus $2 per dog l. Which equation shows this situation, where x represents the number of dogs?
Answers
Answer:
the equation would look like x = 2x + 3
Step-by-step explanation:
Answer:
y=2x=3
Step-by-step explanation:
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. some are scented and some are unscented. if she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel. for the events "shower gel" and "scented" to be independent, what must be shown to be true? p(lotion) = 42% p(scented) = 42% p(shower gel | scented) = 42% p(scented | shower gel) = 42%
Answers
The probability of selecting a shower gel given item is scented must be the same as grabbing shower gel which is 42%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel, some are scented and some are unscented.
If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.
For the events "shower gel" and "scented" to be independent.
P(A|B) = P(A)
P(B|A) = P(B)
P(A∩B) = P(A) × P(B)
We know that the probability she selects a shower gel is 42%. Let this event be A. Then we have
P(shower | scented) = P(shower gel) = 42%
This must be true for the events to be independent.
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
The answer is
C - P(shower gel | scented) = 42%
Step-by-step explanation:
Hope this helped!
how do u work out 11x=24+8x
Answers
Answer:
x = 8
Step-by-step explanation:
First: Subtract 8x from both sides
You will be left with 3x = 24
then divide 3 from both sodes
you will be left with x=8
Davion Hunt Freeman
A literary agent makes $30,000 a year plus 13% commission on the sales of her clients' books to publishers. The agent sold 4 books for $175,000 each for her
clients this year.
Find her total earnings.
Answers
Answer:
She made $121000.
Step-by-step explanation:
The money the agent sold was:
4*175000=700000 (dollars)
but she only gets 13% of this, so she earned:
700000*0.13=91000 (dollars)
She also makes $30000 per year, so the total income she earned was:
91000+30000=121000
1. The product of 3 and a number increased by six is 24.
Answers
Answer:
Y= -14
Step-by-step explanation:
3 X ( y + 6 ) = - 24
y + 6 = - 8
y = - 14
Answer:
Equation: 3x + 6 = 24Solved: x = 6Step-by-step explanation:
Let x be the number
Write it out: 3x + 6 = 24Subtract 6 from each side, so it now looks like this: 3x = 18Divide each side by 3 to cancel out the 3 next to x. It should now look like this: x = 6I hope this helps!
-2(1-8r)=-82
Can you give me the answer please
Answers
Answer:
[tex]r = - 5[/tex]
Step-by-step explanation:
[tex] - 2(1 - 8r) = - 82 \\ - 2 + 16r = - 82 \\ 16r = - 80 \\ \frac{16r}{16} = \frac{ - 80}{16} \\ r = - 5[/tex]
Which option shows cos Ø?
Answers
sohcahtoa
cah
adjacent over hypotenuse
5/29
At a basketball game, 13% were supporting the visiting team. If 3045 people attending supported the home team, what was the total number of people attending the game?
Answers
Answer:
3500
Step-by-step explanation:
13% - 100% = 87
(3045 x 100) divided by 87 = 3500 people
The total number of people attending the game will be 3500.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
At a basketball game, 13% were supporting the opposing group. On the off chance that 3045 individuals going to uphold the host group.
The percentage of supporting the home team will be given as,
⇒ 100% - 13%
⇒ 87%
The total number of people attending the game will be given as,
⇒ 3045 / 87%
⇒ 3045 / 0.87
⇒ 3500
More about the percentage link is given below.
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#SPJ2
(x + y)2 = 64 et x y = 15, alors x2 + y2
Answers
Answer:
[tex]x^2+y^2=34[/tex]
Step-by-step explanation:
Expand [tex](x+y)^2[/tex].
[tex](x+y)^2=x^2+2xy+y^2[/tex]
[tex]x^2+2xy+y^2=64[/tex]
Substitute 15 for xy.
[tex]x^2+2(15)+y^2=64\\\\x^2+30+y^2=64\\\\x^2+y^2=34[/tex]
A hummingbird lives in a nest that is 7 meters high in a tree. The hummingbird flies 10 meters to get from its nest to a flower on the ground. How far is the flower from the base of the tree? If necessary, round to the nearest tenth.
Answers
Answer:
3 meters
Step-by-step explanation:
if the nest is 7 meters up bit the bird flew 10 meters u subtract 10-7 and get 3 meters
I dont get how to dont get how to do this, teacher went way to fast
Answers
Slope means m
1. AB = Slope is 3/4, CD = Slope is 0
2. AB = Slope is 2/5, CD = Slope is -5/2
Rise / Run
1. ) A (( -2 (x1) , 3 (y1) )), B (( 2 ( x2) , 6 (y2))
m = y2 - y1 / x2 - x1
m = 6 - 3 / 2 - (-2) = 3/4 (AB)
C (( -1 (x1) , 0 (y1)) , D (( 3 (x2) , 3 (y2))
m = 3 - 0 / 3 - (-1) = 0 / 4 = 0 (CD)
2. ) A (( 0 ( x1) , 2 ( y1 )) , B (( 5 ( x2 ) , ( 4 ( y2))
m = 4 - 2 / 5 - 0 = 2/5 (AB)
m = 3 - 8 / 3 - 1 = -5/2 (CD)
C (( 1 (x1) , 8 (y1)) , D (( 3 (x2) , 3 (y2))
Hope this helps.
Please help me and show how you got the answer
Simplify this expression 7a^2 - 7b^2
Answers
Answer:
7(a+b)(a-b)
Step-by-step explanation:
7a² - 7b²
= 7(a²-b²)
= 7 (a² + b²) (a² - b²)
Select the correct answer.
Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A'B'C'D'. If the coordinates of vertex A
are (-7,3), what are the coordinates of vertex A?
OA (7,3)
OB. (-7, -3)
Oc. (7.-3)
OD. (-7,3)
OE. (3.7)
Answers
Answer: The answer would be (7,-3)
Step-by-step explanation: You can always graph it on graph paper