Answer:
area a=lxb
48=(x+10)x(x-3)
48=x2-3x+10x-30
0=x2+7x-30-48
0=x2+7x-78
hence it is proved
The requried, we have shown that x satisfies the equation x² + 7x - 78 = 0.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
The area of the rectangle is given by the formula:
Area = length x width
Substituting the given expressions for length and width, we have:
Area = (x + 10)(x - 3)
We are also told that the area of the rectangle is 48 cm², so we can set up the equation:
(x + 10)(x - 3) = 48
Expanding the left side using the FOIL method:
x² - 3x + 10x - 30 = 48
Simplifying:
x² + 7x - 78 = 0
Therefore, we have shown that x satisfies the equation x² + 7x - 78 = 0.
Learn more about equations here:
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Y-Value
What is the range of the relation?
{(4, 5), (2,9), (1,8), (6,5), (2, 9)}
A.{5, 8, 9}
B.{5, 8}
C.{1, 2, 4, 6)
D.{1, 2, 4, 5, 6, 8, 9)
What is 33.765 rounded to the nearest hundredth?
Answer:
33.77
Step-by-step explanation:
Solve for s.
S + 3s - 4 = 16
S =
Submit
Selena wants to sell hot dogs at a local sports arena. She must pay a fee of $25 $25 to sell hot dogs and estimates each hot dog will cost her $0.75 $0.75 . Selena plans on selling each hot dog for $2.00 $2.00 . What is the minimum number of hot dogs ( x x ) Selena needs to sell for the revenue to be greater than or equal to her cost?
Answer:
20
Step-by-step explanation:
Let the cost of 1 hot dog be $x.
2x ≥ 25 + 0.75x
2x - 0.75x ≥ 25
1.25x ≥ 25
x ≥ 20
What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.
Answer:
the number 3 is being subtracted from it because you want to get by itself
Write a function rule that represents the sentence.
y is 4 less than the product of 7 and x.
Giving brainliest!!! HELP PLEASE! I can send money also if you can do it for me.
Answer:
(-4,1)
Step-by-step explanation:
The solution of these two linear equations in where the two lines meet. This means that when plugged into equation the x ( in this case -4) would allow you to get y = 2 (which is the y). Hope this helped you as I know the answer and if you want refinement.
Please help!!
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.
Answer:
Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times.
If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)
What are irrational numbers?
Are they related to Rational numbers?
Answer:
What Are Irrational Numbers?
Real, Rational, and Irrational Numbers. By definition, a real number is irrational if it is not rational. ...
Spotting Rational and Irrationals. One nice thing about real numbers is that they all have decimal expansions.
find the ratio of 500 paise to rs.20
We know that 100paise=1 rupee
=>500 paise = 5 rs
ratio =5/20=1/4=1:4
hope it helps :)
plz mark as brainliest
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F. His body temperature in the evening is °F.
Answer:
102.6°F.Step-by-step explanation:
Aakash body temperature during the day = 99.2°F.
If by evening his body temperature increases by 3.4°F, then his body temperature in the evening will be expresses as the sum of his temperature in the day and the increment.
Temperature in the evening = 99.2°F+3.4°F.
Temperature in the evening = 102.6°F.
Hence his body temperature in the evening is 102.6°F.
Answer:
102.6
I hope this helps
Can someone help me please
Answer:
28deg
Step-by-step explanation:
sin x deg = 15/32
x = sin^-1 (15/32) = 27.953 (3dp) = 28 (nearest deg)
This is a topic on trigonometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!
Graph the line y=-2/3x+3
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
9
2
0
Step-by-step explanation:
Answer: x = (0,0) y = (3,0)
Step-by-step explanation: you have to find the Asymptotes In The Equation
What is the measure of ZSTR?
O 24°
O 38°
48°
O 76°
Answer:
24 degrees
Step-by-step explanation:
24 is 1/2 of 48
2x≤3x+2≤x+6 please could you answer this question
hi i have dis questioonnnnn plz help ;-;
Answer:
Step-by-step explanation:
10+W=25
Answer:
The First Part would be B and for the W= would be 15 since
25 = 10 + 15, it would also be B because of the order of the numbers.
You could also rewrite it as 10 + 15 = 25.
Step-by-step explanation:
A band expects to put 15 songs on their next CD. The band writes and records 60% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answer: 6
Step-by-step explanation:
From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records 60% more songs than they expect to put on the CD. Therefore, the total songs will be:
= 15 + (60% × 15)
= 15 + (0.6 × 15)
= 15 + 9
= 24 songs.
During the editing process, 75% of the songs are removed. The total number of songs that will be there on the final CD will be:
= 24 - (75% × 24)
= 24 - (0.75 × 24)
= 24 - 18
= 6
6 songs will be there on the final CD.
Answer:
21
Step-by-step explanation:
You fottt
Find all solutions by factoring.
c? + 13c + 40 = 0
Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
What is 1/3 divided by 2
Answer:
0.16666666666 so just put 0.16
Step-by-step explanation:
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $25 monthly fee and charges an additional $0.10 for each minute of calls. The second plan has a $12 monthly fee and charges an additional $0.14 for each minute of calls For how many minutes of calls will the costs of the two plans equal
Answer:
The amount of minutes of calls in which the costs of the two plans equal is 325.
Step-by-step explanation:
To be able to find the amount of minutes of calls in which the cost of the two plans equal, you have to write an expression in which the price of the first and the second plan are the same an solve for the number of minutes:
25+0.10x=12+0.14x, where x is the number of minutes of calls.
Now, you can solve for x:
25-12=0.14x-0.10x
13=0.04x
x=13/0.04
x=325
According to this, the answer is that the amount of minutes of calls in which the costs of the two plans equal is 325.
5. A line has a slope of (-3/2) and a
y-intercept of (-4). Write the equation of
the line.
Explanation:
Answer:
y = - [tex]\frac{3}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus
y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line
pls help me is this right red devil is killing me
PLEASE HELP!!! Find the slope of each side of the triangle.
9514 1404 393
Answer:
AB: -3BC: 2/3AC: -1/4Step-by-step explanation:
The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.
Here are the segment slopes (rise/run).
AB = -3/1 = -3
BC = 2/3
AC = -1/4
A rock is dropped from a height of 2.5 meters. What is its velocity when it reaches the ground? A. 3.5 meters/second B. 7.0 meters/second C. 12 meters/second D. 14 meters/second E. 49 meters/second
Answer:
7.0 m/s
Step-by-step explanation:
Use the formula vf^2 = vo^2 + 2*a*d
since the rock is dropped, its initial velocity is zero:
vf^2 = 2*9.8*2.5 = 49
vf = 7.0 m/s
B. 7.0 m/s
notice how they tried to trick you with E.
Answer:
B. 7.0
Step-by-step explanation:
i got it right on my test
Find the common difference of the arithmetic sequence –8, -2, 4, ...
Answer:
d = 6Step-by-step explanation:
[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]
HELP!! BRAINLIEST AND 10 POINTS !!!! THANK YOU SO MUCH
Answer:
B and C
Step-by-step explanation:
BRAINLIEST PLEASE
marking brainliest and extra points
Answer:
B
Step-by-step explanation:
If you Divide 60 by 2 you would get 30 but if you divide by four ill be 15 so for b ill be 2 and a will be 4
hhHheLLlpP Help help help help help plzz
The school hiking club had a car wash on Saturday and Sunday. The students washed 30% of the
cars on Saturday. If they washed 24 cars on Saturday, how many cars did they wash on both days?
O A) 24
O B) 30
OC) 72
OD 80
Answer:
D) 80
Step-by-step explanation:
30 x 80 = 24
100
30/100 = 24/80
30% = 24
24 is 30% of 80
Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Solve please
18 + 8x<34
Answer:
x=2
Step-by-step explanation: