Consider the given quadratic equation that we have :
[tex]{:\implies \quad \sf -5x^{2}+5=-2x}[/tex]
Multiplying both sides by -1 will yield ;
[tex]{:\implies \quad \sf 5x^{2}-5=2x}[/tex]
Write the above quadratic equation in the form of standard quadratic equation ax² + bx + c = 0 ,
[tex]{:\implies \quad \sf 5x^{2}-2x-5=0}[/tex]
Now , comparing this with the standard form of quadratic equation we will get a = 5 , b = -2 , c = -5 . So now , Discriminant (D) = (-2)² - 4 × 5 × -5 = 4 + 100 = 104
Now , by the quadratic formula ;
[tex]{:\implies \quad \sf x=\dfrac{-(-2)\pm \sqrt{104}}{2\times 5}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{2\pm 2\sqrt{26}}{2\times 5}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(1\pm \sqrt{26})}{\cancel{2}\times 5}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{1\pm \sqrt{26}}{5}}}}[/tex]
Used Concepts :-For any quadratic equation of the form ax² + bx + c , the Discriminant (D) is given by D = b² - 4ac , and the root [tex]\bf x[/tex] of the quadratic equation is given by the quadratic formula as
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]The final grade for a class is calculated by taking 75% of the
average test score and adding 25% of the score on the final exam. If all
scores are out of 100 and a student has a 76 test average, what score does
the student need on the final exam to have a final grade of at least 80?
Answer: I pretty sure the answer is 92!
Step-by-step explanation:
75% of the test score would be 76 x 0.75 = 57
80-57 = 23
They need 23 more points to get an 80
The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam
answer: 92
6. One side of a rhombus is 14 inches long, and one diagonal of the rhombus is 15 inches
long. What is the area, in square inches, of the rhombus?
Answer:
3.31
Step-by-step explanation:
14ª1 is 718th 15/10 is equal to 15 and 10 tenths
Help pls help me with homework
The number of paintings Jurnee can make varies directly with the amount of time she spends making the paintings. She can make two paintings in 1/4 week. How many paintings can Jurnee make in three weeks?
Answer:
24 is the answer
Step-by-step explanation:
1/4x4=2 per 1/2 week she can make 4
1/2x4=8 per week
and 8x3=24 so 24 per week
I hope this helped :)
Please i need your help
Answer:
Can you take a full picture
Step-by-step explanation:
Answer:
Choice A:
Final price:- $17.50
Saved amount :-7.50
Choice B:
Final price: $24.00
Saved amount: $8.00
Therefore the choice A is better deal.
Write the equation of the transformed graph of tangent with period 4 that has
been shifted vertically up 3 units. (3 points)
Answer:
g(x) = 3 + tan(πx/4)
Step-by-step explanation:
A tangent function has a period of π. In order to make it have a period of 4, it needs to be stretched horizontally by a factor of 4/π. A function is stretched horizontally by a factor of k by replacing x with x/k.
In order for the function to be shifted vertically up by 3 units, 3 must be added to the function value. That is, the transformed function becomes ...
g(x) = tan(x/(4/π)) +3
g(x) = tan(πx/4) +3
Paul, Shawn and Tim have a box of marbles. Paul has 1/5 of the marbles. Shawn has 3/8 of the remainder and Tim has has the rest of the marbles. Tim has 84 marbles more than Paul. How many marbles are in the box?
Answer:
374 marbles
Step-by-step explanation:
Paul (P) has 1/5 this was given
Shawn (S) has 3/8 this was given
That means Tim (T) must have 17/40 because 1/5 + 3/8 = 23/40 and 1- 23/40 = 17/40
Those are the fractional amounts each boy has. We can set up an equation based on the information in the problem to get the total number of marbles (M). Tim has 84 marbles more than Paul. Thus, Tim has a greater number of marbles. 84 more, to be exact. Our equation would then look like this:
P+84=T
Because we have three unknowns, we need three equations. Thus, we need two more, but we can get them from our fractions at the top.
We need to have a question where we find the total number of marbles.
We know that Paul has 1/5 of the marbles. We can use M to represent the total number of marbles.
P = (1/5)M
T= (17/40)M
We had this from before: P+84=T
If we substitute into the equation:
(1/5)M + 84 = (17/40)M
Now there is only one variable in the equation and we can solve for M.
For M, I got 1120/3 which simplifies to 373 and 1/3, since there cannot be 1/3 of a marble, we can round to 374. There are three hundred, seventy-four marbles in the box.
If you want to check the answer, you can put (1120/3) back in for M in the third equation and you will see that each side is equivalent.
Marcia wants to get a new car stereo. She researches the cost with a variety of local car stereo installers and places her findings in a stem-and-leaf plot
Answer:
I didn't understand properly, but if your question is what the median is, then it's $115.
Step-by-step explanation:
Don't have one sorry,
two regular polygons shown are similar the area of the smaller figure is about 390cm^2 choose the best estimate for the larger figure
Step-by-step explanation:
c.is correct your welcome
the sum of 0.5 and 2/3
Answer:
[tex]1\frac{1}{6} or 1.167[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} + \frac{2}{3}[/tex] (convert 0.5 to a fraction: [tex]\frac{1}{2}[/tex]
[tex]= (\frac{3}{3} )\frac{1}{2}+ \frac{2}{3}(\frac{2}{2} )[/tex] (find common denominator)
[tex]=\frac{3}{6} +\frac{4}{6}[/tex] (add the numerators together)
[tex]=\frac{7}{6}[/tex] (if [tex]\frac{6}{6}[/tex] is equal to 1, but we have one extra it becomes...)
[tex]=1\frac{1}{6}[/tex] (convert to a decimal if needed)
[tex]= 1.167[/tex]
Hope this helps!! Please mark Brainliest!!
A. 31.2
B. 39.6
C. 62.5
D. 79.2
Answer:
a
Step-by-step explanation:
Phil will be moving into a new apartment. If he lives alone, his rent will cost $400 per month. If he has a roommate, the total rent will be 30 percent more, but he will pay only half of it. How much money will Phil save on rent per month by having a roommate?
Answer:
$140
Step-by-step explanation:
Rent alone = 400
Rent with roommate = (400 + 30%) / 2
= (400 + 120) / 2
= 520 / 2
Rent with roommate = 260
400 - 260 = 140
Is there any outliers? Explanation needed, if yes. If no, then I don’t need one. Thank you!
Answer:
No there are not any outliers
how many times can 64 go into 865?
A house is on an 80,000 square foot lot. About how many acres is the lot?
Answer:
There
Step-by-step explanation:
mark me brainliest!!
Answer:
1.836 acres
Step-by-step explanation:
HELPPP PLS SHOW WORK
Answer:
61
Step-by-step explanation:
1. let the unknown be x
2. using theorem of Pythagoras that states the hypotenuse will be equal to the sum of the other two sides we can determine that 75=14+X
3. this implies that X=75-14
4. therefore X= 61
Add
3 2/7 + 7 5/14 as fractions
Answer:
Step-by-step explanation:
There are two methods of doing this
one is in the pin and another:
3 2/7 =23/7
7 5/14= 103/14
23/7 + 103/14 = Lcm 14
23/7 *2= 46/14
46/14 + 103/14 =149/14
149/14 = 10 9/14
Maya has 760 carrots. 27% of them went rotten. What number of the carrots ARE'NT rotten?
Answer:
About 554 carrots aren't rotten.
Step-by-step explanation:
100% - 27% = 73%
73% = 0.73
760 x 0.73 = 554.80
Answer:
205.2 carrots went rotten
Step-by-step explanation:
27% of 760 = 205.2
I hope I'm not too late and that this helps!
If it does, please give me brainliest :)
Solve for all missing sides and angles.
Answer:
Step-by-step explanation:
Sum of interior angles in a triangle is 180degree.
<B + 15degree + 45degree = 180degree
<B = 180 - 45 - 15 = 120 degree
By sine rule,
sin<B / AC = sin<C / AB = sin <A / BC
sin120degree / 200 = sin15degree / AB = sin45degree / BC
AB = 200*sin15degree/sin120degree
= 59.77
BC = 200*sin45degree/sin120degree
= 163.30
Prove triangle congruence by SSS and SAS
Answer:
Step-by-step explanation:
You play basketball at your school’s indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the costs be the same?
The costs are the same after
trips to the gym.
Answer:
10 times
Step-by-step explanation:
Let x be the amount of times you go to the gym
Option A would be 20+2x
Option B would be 4x
now the question is after how many trips would the cost be the same?
20+2x=4x
Solve the equation so
20=4x-2x
20=2x
X=10
It would take 10 times for the cost to be the same for both options
need help with math problem if do 5 star and brain point
Answer:
1. 7
2. 6
3. 35
Step-by-step explanation:
1. 35:60 = 7:12
2. ratio is 60:10 so 6:1 so 6
3. total number is 175.
ratio would be 175 :35 so 35:5
What is the volume of a cube whose edge measures 21 centimeters each
Question :-
What is the Volume of a Cube, whose Edge measures 21 cm each .Answer :-
Volume of the Cube is 9261 cm³ .[tex] \rule {180pt} {2pt} [/tex]
Given :-
Edge of the Cube = 21 cmTo Find :-
Volume of the Cube = ?Solution :-
As per the provided information in the given question, we have been given that the Edge of the Cube is 21 cm . And, we have been asked to calculate the Volume of the Cube .
For calculating the Volume , we will use the Formula :-
Volume of Cube = ( edge )³Therefore , by Substituting the given values in the above Formula :-
⇒ Volume = ( edge )³
⇒ Volume = ( 21 )³
⇒ Volume = 21 × 21 × 21
⇒ Volume = 441 × 21
⇒ Volume = 9261
Hence :-
Volume = 9261 cm³ .[tex] \underline {\rule {180pt} {4pt}} [/tex]
In quadrilateral ABCD, AB ||CD which additional peice of information is needed to determine that ABCD is a parallelogram
Answer:
BC||AD
Step-by-step explanation:
A parallelogram is said to be parallelogram iff it's opposite pairs of sides are parallel to each other.
Since one pair is parallel (given)
then another pair needs to be parallel.
Hence BC||AD
Find the constant rate of change for each linear function and interpret its meaning
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]
A rectangular room is 3 times as long as it is wide, and its perimeter is 40 meters. Find the dimension of the
room.
Answer: 5 meters
Why?:
Let the width of the room be denoted by 'W'
Since the room is three times as long as its width, the length will be '3W'
remember perimeter of a rectangle is = 2(length + width) and is given in the question as 40 meters.
Perimeter = 2 (length + width)
40 = 2 (3W + W)
40 = 2 (4W)
40 = 8W
(Dividing both sides by 8), gives
5 = W
Answer:
l = 15
w = 5
Step-by-step explanation:
l = 3w
40 = 2l + 2w
40 = 6w + 2w
40 = 8w
8w = 40
w = 40/8
w = 5
l = 15
A cab ride from your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how much should you tip?
Answer:
$2.35
Step-by-step explanation:
Multiply $23.47 by 10%
A monument in a park is shaped like a square
pyramid. The dimensions are shown in the net.
3 m
What is the surface area of the monument,
including the base?
2 m
3 m
3 m
2 m
m²
SP......
3 m
Answer:
14 square meters
Step-by-step explanation:
the first part of this question can be to find the bases area
the base is 2 * 2 which is 4 square meters
then you find the area of the triangles
the length is 3 and the base is 2
then you multiply the amount of that by 1/2 and then by 4 because of the number of triangles there are
2 * 3 * 1/2 * 4 = 12
this is the area of the triangles added together
then you add 12 to 2 for the total
12 + 2 = 14 m^2
Determine if true:
1y+8y+10y=20y
Answer:
False
Step-by-step explanation:
1+8=9
9+10=19
1y+8y=9y
9y+10y=19y
19y=20y
The equations dont match.
Hence, the equation is false.
Answer:
False.
Step-by-step explanation:
1+8+10 is 19. 19 is not equal to 20.
Deepak can type 2000 words in minutes. How many words Can he type in 37 minutes
Answer:
74,000 words he can type in 37 minutes