Answer: C = -6.3
Step-by-step explanation:
What is the x equal too in x² - 3x = 54?
Well, we know standard form of quadratic equation : ax² + bx + c where,
a = Coefficient of x²
b = Coefficient of x
c = Constant term
We also equation for determinant :
⇒ b² - 4ac
Here, if value of determinant i.e. (b² - 4ac) = A perfect Square, then we can understand that the givdn equation is factorisable.
But, if the value of (b² - 4ac) ≠ A perfect square, then it will be considered as "Not factorisable"
Now let's calculate whether the equation is factorisable or not :
Comparing the given equation with ax² + bx + c, we get :
a = 1
b = -3
c = -54
Putting values in the determinant equation :
⇒ (-3)² - 4(1 × -54)
⇒ 9 + 216
⇒ 225
⇒ 15²
So, determinant = A perfect square
That means the given equation is factorisable.
Now let's factorize with by middle term splitting :
⇒ x² - 3x - 54
⇒ x² -(9 - 6)x - 54
⇒ x² - 9x + 6x - 54
⇒ x(x - 9) + 6(x - 9)
⇒ (x + 6)(x - 9) [Required Solution]
Hence, we get our required solution.
Hope this Helps (✿◡‿◡)
use the distributive property to find the product (x-4)(2x+5)
A line has this equation: y = x + 4 Write an equation for the perpendicular line that goes through (2, 5).
Answer:
y = -x + 7
Step-by-step explanation:
y = x + 4 slope: 1
slope of perpendicular line: -1
for (2,5) y interception (b) = y - mx = 5 - (-1)*2 = 7
equation: y = -x + 7
check: -x+7 = -2+7 =5
Can someone help me with this? I don’t understand it!! (Conditional Property)
Answer:
19%
Step-by-step explanation:
What is the probability that those who ordered a large drink was a cold one?
27 drinks in total
5 cold
5/27*100%
Hope this helps!
Can i have a straight answer for these questions
To dilate a figure means to change it.
The figure before the transformation is called the _____________, or original
The figure after the transformation is called the ____________ or new image. We would label that with a __________
You can identify the new figure by looking for the __________symbol
Congruence refers to whether or not a figure has the same ________ and ________ after a transformation
When you dilate a figure it keeps the same ____________ but not the same ________
Orientation of a figure is the direction a figure is _________
When you dilate a figure it __________ it’s _________
When you dilate a figure the corresponding __________ are ______________,
and the corresponding ____________ are __________________
Example 1: Write an algebraic representation that would result in an enlargement of a figure.
Example 2: Write an algebraic representation that would result in a reduction of a figure.
Example 3: State whether each statement is true or false
A polygon that is dilated will have a different orientation
When you dilate a figure the angles of the figure change
(x, y) (0.5x, 0.5y) would result in a reduction of a dilated figure
(x, y) (ax, ay) if a is between 0 and 1 the image would be an enlargement
Naruto usamaki is the greatest hokagey in the leaf village
please help me with math ;-;
Answer:
1. y= -2/5x+3
2. y= 3x-2
3. y= -1/2+0
Step-by-step explanation:
The formula for a linear equation is y=mx+b with
m=slope
and b= the y-intercept.
Please help, will give brainlist
Answer:
-4, 2
Step-by-step explanation:
Answer:
y = [-7, 0] or - 7 ≤ y ≤ 0Step-by-step explanation:
The range is the set of y- values of a function
As per graph y-value changes from -7 to 0 both inclusive, so the range is:
y = [-7, 0]or
- 7 ≤ y ≤ 0PLEASE HELP THIS IS DUE TODAY
Area A: 6
Area B: 18
Area C: 3
Area D: 4
Area E: 2
Answer:
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
Step-by-step explanation:
According to stament, the area A is 6 square centimeters, the area B is 18 square centimeters, the area C is 3 square centimeters, the area D is 4 square centimeters and the area E is 2 square centimeters.
The purpose of this exercise is determine all ratios associated with each area, defined as a given area divided by the total area. Then, we proceed to determine each result:
([tex]A_{given} = 1\,cm^{2}[/tex], [tex]A_{A} = 6\,cm^{2}[/tex], [tex]A_{B} = 18\,cm^{2}[/tex], [tex]A_{C} = 3\,cm^{2}[/tex], [tex]A_{D} = 4\,cm^{2}[/tex], [tex]A_{E} = 2\,cm^{2}[/tex])
[tex]r_{A} = \frac{1\,cm^{2}}{6\,cm^{2}}[/tex]
[tex]r_{A} = \frac{1}{6}[/tex]
[tex]r_{B} = \frac{1\,cm^{2}}{18\,cm^{2}}[/tex]
[tex]r_{B} = \frac{1}{18}[/tex]
[tex]r_{C} = \frac{1\,cm^{2}}{3\,cm^{2}}[/tex]
[tex]r_{C} = \frac{1}{3}[/tex]
[tex]r_{D} = \frac{1\,cm^{2}}{4\,cm^{2}}[/tex]
[tex]r_{D} = \frac{1}{4}[/tex]
[tex]r_{E} = \frac{1\,cm^{2}}{2\,cm^{2}}[/tex]
[tex]r_{E} = \frac{1}{2}[/tex]
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
Hey guys p lease help!!
Answer:
24
Step-by-step explanation:
Using ratios, we know that PQ/PT = PR/PS = QR/TS
of course, we know this because of AA similarity.
PQ/PT = 1/2
so PR/PS = 1/2 => PS = 12*2 = 24
Answer:
24
Step-by-step explanation:
PQ is half of PT, therefore, if PR = 12, PS = 24
help me' please, brainiest too, if right
Answer:
what is the question you didn't put one up
Answer:
Where is the question?
Step-by-step explanation:
?
Melanie works at a frozen yogurt stand after school. The stand sells fruit and yogurt smoothies for $3.00 each and soft-serve cones for $2.00 each. On a hot summer day, the stand sold 12 more smoothies than soft-serve cones for total sales of $206. Which of the following systems of equations could be used to find s
s
, the number of smoothies, and c
c
, the number of cones the shop sold that day?
Answer:
3s+2c=206
s=c+12
Step-by-step explanation:
3.00(smothies,s) + 2.00(cones,c) = $206 (total)
s,smoothies = c,cones + 12
what is 1256x - 14x + 16x simplified
Answer:1
1258
Step-by-step explanation:
Do like terms.
Answer:
The answer was 1258
Step-by-step explanation:
1256x - 14x + 16x
add similar elements = 1256x - 14x + 16x
1258
13. The seniors and juniors at Sweet Valley High School are going on a trip to Busch Gardens. The seniors filled 12 vans and 12 buses with 564 total students. The juniors filled 6 vans and 13 buses with 492 students. How many students were in each van? In each bus?
PLZZZ HELP <3
Answer:
Step-by-step explanation:
The answer is give me the answer
-6 x -1 x -2 x -3
Which of the following is the correct answer
-36
-12
12
36
Mr Coope drives 472 miles in 8 hours. At this rate, how many miles would he drive in 6
hours?
A) 381
B) 340
C) 101
D) 354
Here is a rectangle ABCD.
20 cm
30 cm
The length of the rectangle is increased by 20%.
The width of the rectangle is increased by 10%.
Find the percentage increase in the area of the rectangle.
Answer:
25% increase
Step-by-step explanation:
length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)
the area before it gets increased it 600
after the increase its 792
and 600 is 75.75% of 792
so it would be 25.25% increase
sorry this was so long hope this helps
marco and suzi each mulyiplied 0.721 X 100 Marco got 7.21 for his product suiz got 72.1 for her product which student multiplied correctly. How do you know.
81, 92, 78, 93, 81, 76, 90
Find the range of the data set.
Answer:
range is 17
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 93−76=17 93 - 76 = 17 .
I really need help plz thank you and can you explain for me to understand
Write an inequality for the following:
the answer is at most 7
Group of answer choices
n ≤ 7
n 7
The Math Club is raising money so they can attend a local competition next month. They have already raised $125 and they are selling candy bars to raise the rest of the money needed. Each candy bar sells for $2.50.
Answer: 100 candy bars
Step-by-step explanation:
You did not include the question but judging by the progression I can assume that the question is along the lines of how many candy bars they will need to sell to reach their target.
You did not include the amount they have to raise as well so let us assume that number is $375.
Assuming they have to raise $375 and they have already raised $125, the amount left to be raised is:
= 375 - 125
= $250
With each candy bar selling at $2.50, the number of candy bars they will need to sell is:
= 250/ 2.50
= 100 candy bars
You should use this process to find the answer to your question.
Selecting an SUV with a blue exterior?
Answer:
good choice in vehicle!
Step-by-step explanation:
True or False: the relationship shown in the mapping diagram is a function
Answer:
Step-by-step explanation:
true i hope this helps!
Answer:
false
Step-by-step explanation:
3(x -4) =2(2x+1) please answer this
Answer:
x = -1/3
x = 1
Step-by-step explanation:
Answer: Isolate the variable by dividing each side by factors that don't contain the variable.
x
=
−
14
Step-by-step explanation: Have a nice day I worked really hard on this.
the spinner below is spun then the a month of the year is randomly selected. Find each probability
Answer:
I think the answer is 0.3
Step-by-step explanation:
Sorry if am wrong.
Answer:
Step-by-step explanation:
P (blue) fraction = 2/8 decimal=.25 percent=25%
P(purple) fraction=0/8 decimal=0 percent =0%
P(not green) fraction=5/8 decimal=.625 percent= 62.5%
P(not brown) fraction=8/8 decimal=1 percent =100%
2)Refer to the table on air travel selected airports. Suppose a flight that arrived at El Centro is selected at random. What is the probability that the flight did not arrive on time? write your answer as a fraction, decimal and percent.
80% on time so 20% are not on time
20/100 ÷ 20 =1/5
20%, .2, 1/5
3)The spinner has 8 sectors labeled with letters. Each sector of the spinner below is the same size, as shown.
If the arrow is spun 400 times , how many times would it be expected to land on a sector labeled B?
[tex]\frac{B}{Total} \\\frac{3}{8} =\frac{x}{400\\}[/tex]
A)50 C)150
B)100 D)250
PLEASE MARK ME AS BRAINLIEST
I will give you 20 points I need your help please!!! I need to know which one it is??
Answer:
c
Step-by-step explanation:
Divide each of the side lengths of the larger triangle by the side lengths of the smaller triangle and you get 4
100 points!
Romantic writers rejected the logical style of writers from the age of reason and instead focused on individual experiences, thoughts, and emotions. Romantic literature used lofty, expressive language to highlight a particular mood and message. What do you think these techniques offered to romantic writers that previous styles did not? Consider the romantic literature you have read. Do you think these techniques and styles were effective for the themes and subjects being addressed? Why or why not?
Answer:
Step-by-step explanation:
Romantic writers have the advantage of writing what they feel not just what they made up. Romantic writers can make a book sad, scary, and happy. Whereas fictional books almost always end up perfect for the main character. I do think that the techniques and styles were effective for the themes and subjects being addressed because they flow into the subject. Using an absolute sob story for a romantic book could be passed off as a hit if you use the right techniques. So, yes. I do think that the techniques and styles were effective for the themes and subjects being addressed.
i need help fast with this problem
Answer:
6 is the answer
Step-by-step explanation:
Can someone help me out real quick?
4
1. In the equation y = x + 5, what is the slope and
=
y-intercept?
m =
b=
Answer:
m = [tex] \frac{4}{3} [/tex]
b = 5
word form 952.374 pls help
Answer:
WORD from the 2.O
Step-by-step explanation: