HELP PLEASE!!!
Sonia graphs the equation y=-x^2+4x and y=x-4 to solve the equation -x^2+4x=x-4. Her graph is shown below.
what are the solutions of -x^2+4x=x-4?
a)-5 and 0
b)-5 and -1
c)-1 and 4
d)0 and 4
Answers
−
x
2
+
4
x
=
x
−
4
-
x
2
+
4
x
=
x
-
4
Move all terms to the left side of the equation and simplify.
Tap for more steps...
−
x
2
+
3
x
+
4
=
0
-
x
2
+
3
x
+
4
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
−
1
a
=
-
1
,
b
=
3
b
=
3
, and
c
=
4
c
=
4
into the quadratic formula and solve for
x
x
.
−
3
±
√
3
2
−
4
⋅
(
−
1
⋅
4
)
2
⋅
−
1
-
3
±
3
2
-
4
⋅
(
-
1
⋅
4
)
2
⋅
-
1
Simplify.
Tap for more steps...
x
=
3
±
5
2
x
=
3
±
5
2
The final answer is the combination of both solutions.
x
=
4
,
−
1
Related Questions
A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:
1. 34 students like a drama club
2. 27 students like step team
3. 14 students like both
4. 13 students like neither
Answers
Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
Can someone help me with 13,14,15 and 16 please
Answers
Answer: -3/5, 18/32, -10/11, and horizontal.
Step-by-step explanation: Remember the equation for slope? Δy (the change in y), over Δx (the change in x). In other words, rise over run. To solve for Δ, you'd have to subtract the second output (y²) from the first (y¹). There are really no rules as to which has to be minuend and the subtrahend, so I chose to subtract (-1,6) from (4,3) for the first problem.
y¹-y² Δy 3-6 -3
------ or ---- so ------- = ----- The slope is represented by -3/5x
x¹-x² Δx 4-(-1) 5
__________________________________________________________
For the second, substitute the values again (make sure you keep the xs and ys together and in the right order, otherwise your answer will be incorrect). Remember that subtracting a negative number is basically just adding a positive number. That's why the slope is 18/32 and not 4/26.
11-(-7) 18
--------- = -------
29-(-3) 32
___________________________________________________________
For number three, they give you a point, then tell you the y-intercept. With that in mind, also know the second point is (0,17), because the x value at the y-intercept is always 0.
7-17 -10
------ = ------- The slope is -10/11x
11-0 11
___________________________________________________________
4-4 0
------ = --------
6-(-9) 15
Because there is no Δy, but there is Δx, we know that the line for y will be straight and shows no change- it will always be at 4. That said, the line will be horizontal.
I hope this helps. I know this is very confusing at first, but with practice, you'll eventually get the hang of it. I've tried to explain the rules to the best of my ability- let me know if there's anything you don't understand or need more help with.
Sincerely,
Lacia :))
Help ASAP Please! Thanks in advanced :)
Answers
Answer:
x = 17
Step-by-step explanation:
Since it shows that the diagram is corresponding angles, we can set them equal to each other.
8x + 20 = 11x - 31
-3x = -51
x = 17 degrees
Write 2x+y=17 in slope-intercept form
Answers
Answer:
y=-2x+17
Step-by-step explanation:
Maya purchased a prepaid phone card for$25. Long distance calls cost 9cent a minute using this card. Maya used her card only once to make a long distance call. If the remaining credit on her card is 24.01, how many minutes did her call last?
Answers
Answer:
Her call lasted for 1 minutes.
Step-by-step explanation:
She bought a prepaid card ($25)
0.9 times 11 = 0.99
25 - 0.99 = 24.01
The greatest number of bags ? can fill is ?
bags because the GCF of 34 and 51 is ?
. Each bag can have ?
blueberry and ?
raspberry scones.
Answers
Im so sorry. Your question is very poorly formatted I do not understand what you are saying.
The GCF of 34 and 51 is 17
solve for x 3(-5x+4)+5x-1=-39
Answers
Answer:
2
Step-by-step explanation:
x3(−5x+4)+5x−1=−39
−5x4+4x3+5x−1=−39
Step 1: Subtract -39 from both sides.
−5x4+4x3+5x−1−(−39)=−39−(−39)
−5x4+4x3+5x+38=0
Step 2: Factor left side of equation.
(−x+2)(5x3+6x2+12x+19)=0
Step 3: Set factors equal to 0.
−x+2=0 or 5x3+6x2+12x+19=0
x=2 or x=−1.409699
Find the slope of the line that passes through the given points.
(-1, 4) and (-3, 8)
Answers
Answer:
-2
Step-by-step explanation:
4-8 = -4
-1 - -3 = 2
-4/2= -2
15. Write the slope-intercept form of the line described in the following:
Parallel to 3x + y = 5 and passing through (2,3)
Answers
Answer:
2x
Step-by-step explanation:
3x + y = 5
= 5 - 3x
= 2x
please help me :////
Answers
Answer:
34
Step-by-step explanation:
Answer:
2i
Step-by-step explanation:
if the root is at -2i it's other root is the conjugate at 2i
write an equation that is perpendicularl to 7/8x+1
Answers
Answer:
-8/7x-1
Step-by-step explanation:
perpendicular equations have opposite signs and are reciprocal.
d. 15 times the sum of 14 and 6
expression and the value of the expression
Answers
Given the points (2, k) and (0, -6), for which values of k would the distance between the points be square root of 5?
Answers
Answer:
k = -5
k = -7
Step-by-step explanation:
*look at the picture*
Wesley and Lincoln went fishing
Answers
Answer:
I this a question of some sort?
What is 100 times 100
Answers
Answer:
hii
Step-by-step explanation:
10,000
Answer:
the anwser would be 10000
Step-by-step explanation:
lol
a bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 8 feet per second. It is away frim the hive for a total of 16 minutes. what equation can can you use to find the distance of the flowerbed from the hive? How far is the flowerbed from the hive?
Answers
Answer:
(x/12 + 840 + x/8) = 960
576 feets
Step-by-step explanation:
Given that :
Speed to flower bed = 12 ft/s
Speed back to hive = 8 ft/s
Time spent at flower bed = 14 minutes = 14*60.= 840
Total time = 16 mins = (16 * 60) = 960
Let distance between bee hive and flower bed = x
Time taken to flower bed = x / 12
Time taken back to hive = x /8
(x/12 + 840 + x/8) = 960 - - equation
L.C.M of 12 and 8 = 24
(2x + 20160 + 3x)/ 24 = 960
(2x + 20160 + 3x) = 23040
5x = 23040 - 20160
5x = 2880
x = 2880 / 5
x = 576
Distance between flowerbed and hive = 576 feets
what is the percintage change of 36 to 24
Answers
Answer:
if its 24 by 36 then its 150%. If it was 36 by 24 then it would be 66.6
Step-by-step explanation:
HELPPPPP PLZ AND THANK U
Answers
Answer:
0.6
Step-by-step explanation:
multiply all of the numbers
= 1cm
The answer is 1cm
Hope this helps!
Consider the complex number z = 27i. What are the characteristics of the cube roots of z?
Use the drop down menus to complete each sentence.
The cube roots are located on a circle with center at the origin and radius of
.
The cube roots have arguments which differ by
Pi over 3.
Answers
Answer:
3 and 2
Step-by-step explanation:
The cube roots are located on a circle with a center at the origin and a radius of 3. The cube roots have arguments that differ by 2 Pi over 3.
What is the complex number?A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The given complex number as;
z = 27i
The radius of the cube root is found as;
r=∛x
r=∛27
r=3
The cube roots are located on a circle with a center at the origin and a radius of 3 units.
The argument of a complex number,z=a+ib is;
Θ = tan⁻¹(b/a)
The argument of a complex number z=0+27i
Θ = tan⁻¹(27/0)
Θ = π/2
The cube roots have arguments that differ by 2 Pi over 3.
Hence, the correct answer for the drop-down menu will be 3 and 2.
To learn more about the complex number, refer to the link;
https://brainly.com/question/10251853
#SPJ2
The cost of tickets is $36 for three students an $72 for six students. What’s the rate and change?
Answers
Answer:The cost of a ticket is $12 per student
Step-by-step explanation:
36/3=$12 per students
$72/6=$12 per student
WHAT DO I DO WHEN I FAILED A ALGEBRA TEST
Answers
Answer:
Restudy and try to take it again.
Step-by-step explanation:
Try watching math videos and do extra studying on the areas you missed on your last attempt.
Answer:
Talk with your teacher
Step-by-step explanation:
I recommend talking with your teacher and asking if you can retest or do extra credit to get your grade back up.
Make sure you study and get really good grades on the rest of your assignments / next test to keep a passing grade.
9(3x - 5) = -9(-5x - 3)
how many solutions do you get when you solve ?
Answers
Answer:
one solution
Step-by-step explanation:
Given
9(3x - 5) = - 9(- 5x - 3) ← distribute parenthesis on both sides )
27x - 45 = 45x + 27 ( subtract 45x from both sides )
- 18x - 45 = 27 ( add 45 to both sides )
- 18x = 72 ( divide both sides by - 18 )
x = - 4
Solve 56 - 10x>20 + 8x.
O A. x>-2
B. X<-2
C. x >2
D. x<2
Answers
Answer:
x<2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given
56 - 10x > 20 + 8x ( add 10x to both sides )
56 > 20 + 18x ( subtract 20 from both sides )
36 > 18x ( divide both sides by 18 )
2 > x , thus
x < 2 → D
Just in case you can't see what is says it says Which point has coordinates (1,-5)
A B C D please help me
Answers
Answer:
D
Step-by-step explanation:
the x value = 1 so move to the right 1 mark on the graph and since y = -5 you move down 5 marks on the graph and you get you answer
hope this helps!
plz mark me brainliest if this helped!
have a great day!
On a journey of 120 km, a motorist averages
less than 60 km/h. Will the journey take
more or less than 2 hours?
Answers
Answer:
More
Step-by-step explanation:
Because the journey is 120km long, and the mortoristgoes less than 60km per hour. So in 2 hours, the motorist will go less than 120 km. So he needs more than 2 hours to go 120 km
Can someone help me with this question
Answers
Answer:
It’s c my fren its 40 because you are doing the math as in adding and multiplying..... I tried to help lol tell me if I’m wrong.
Step-by-step explanation:
4(5c+3) and 9c+7 is it equivilent
Answers
Answer:
why are you cheating
Step-by-step explanation:
whats your reputation
Answer:
Step-by-step explanation:
Yes
can someone help me with this please
The midpoint of AB with line above it is M(-2, 1). If the coordinates of A are (1, -2) what are the coordinates of B?
Answers
Jordan is using his birthday money to buy baseball cards. Danny's Downtown Shop sells boxes of 80 cards for $23.20. The General Store sells boxes of 120 cards for $28.80. Which store offers the better deal?
Answers
Answer:
I believe that the general store offers a better deal.
Answer:
I believe that the general store offers a better deal
Step-by-step explanation:
4. determine whether the relation is a function(
(1, -4), (2, 1), (3, 4), (3, 3), (4, 2)
B. yes
C.no
Answers
Answer:
No, bacause each X (first value), need to have just once Y value (second one). Here you have two values for 3 (4 and 4)