Answer:
The quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
Step-by-step explanation:
Given: The area of a rectangular television screen is [tex]3456\: in^{2}[/tex]. The width of the screen is [tex]24[/tex] inches longer than the height.
To find: The quadratic equation that represents the area of the screen, and what are the dimensions of the screen?
Solution:
Let the height of rectangular television screen be [tex]x[/tex] inches, then width of the rectangular screen be [tex](x+24)[/tex] inches.
Now, we know that area of a rectangle [tex]= \text{length}\times\text{width}[/tex].
As per question,
[tex]x(x+24)=3456[/tex]
[tex]\implies x^{2} +24x=3456[/tex]
[tex]\implies x^2+24x-3456=0[/tex]
So, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Now, to find the dimensions, we need to solve [tex]x^2 +24x-3456=0[/tex].
[tex]x^2 +24x-3456=0[/tex]
[tex]\implies x^2 -48x+72x-3456=0[/tex]
[tex]\implies x(x-48)+72(x-48)=0[/tex]
[tex]\implies (x-48)(x+72)=0[/tex]
[tex]\implies x-48=0[/tex] or [tex]x+72=0[/tex]
[tex]\implies x=48[/tex] or [tex]-72[/tex]
Since, [tex]x[/tex] is the height of the rectangular television screen, and height cannot be negative. So, height of the television is [tex]48[/tex] inches, and width of the television screen is [tex]48+24=72[/tex] inches.
Hence, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
3 definitions of slope
The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club sticker is square inches.
Answer:
Height (h)=8 in
Base(b)=10in
Area (A) of a triangle = 1/2*b*h
A=8in*10in=80in sqr
Step-by-step explanation:
The sticker is in triangular form so one has to Area of triangle formula: 1/2x base x height
PLS help me
if you get it right i will give brainliest
NEED THIS ASAP PLSSS HELP
Answer:
um
Step-by-step explanation:
um
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!
Answer:
1
Step-by-step explanation:
if you substitute 1 in for x, you would see that 5 = 5
hope this helps!
1 min left need help fast :(
Answer:
A: 4/10
Step-by-step explanation:
There a four numbers that are greater that 6 : 7,8,9,10
Since it is out of 10, the probability that the first person would choose a number greater than 10 is 4/10
what is it plz ????????????
Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a model to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?
Answer:
The inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Step-by-step explanation:
Let Mr. Garcia has [tex]x[/tex] number of desks initially.
He has been asked to give [tex]6[/tex] desks to Mrs. Johnson.
Also, he needs to keep at least [tex]17[/tex] desks for his students.
So, after giving [tex]6[/tex] desks to Mrs. Johnson from the total number of desks he has, he must have at least [tex]17[/tex] desks for his students.
Therefore, the inequality is: [tex]x-6\geq 17[/tex].
Hence, the inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
How many times can 4 go into 33
Answer:
8 but you would have a remainder of 1
Step-by-step explanation:
4x8 is 32 so 8 r1
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Answer:
point slope form: y - 1 = 4 (x -2)
slope intercept form: y = 4x -7
Step-by-step explanation:
If you want it in point slope form it would be: y - 1 = 4 (x -2)
but if you want it in slope intercept form, you solve this equation
y -1 = 4 (x-2)
y-1 = 4x -8
+1 +1
y = 4x -7 in slope intercept form
I GIVE BRAINLIEST MARKS I SWEAR rational functions, construct table values and sketch the graph of rational functions
Answer:
Download math)way it helps I swear
Step-by-step explanation:
Answer:Hope this is rght I only can answer the first
one.
Step-by-step explanation:
Solve the equation 2/3(6x-3/2) = 3 - x Options: (A x=1) (B x = 1 1/4) (C x = 4/5) (D x =2/5)
Answer:
C x=4/5
Step-by-step explanation:
Find the equation of the line shown
Step-by-step explanation:
at 3=3
at 0=9
at 4=1
[tex]y = ax + b[/tex]
[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]
Answer:
y=-2x+9
Step-by-step explanation:
From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.
So:
0: 9
1:7
2:5
3:3
And the difference of y over the difference of x is the slope
-2/1=-2
So the slope is -2
Therefore, putting the equation together makes:
y=-2x+9
Hope this helps!
is one plus one 15 please answer ASAP
Answer: no its 2
Step-by-step explanation:
lol
A line with a slope of 1/3 passes through (-5,r) and (4,1) To make this work correctly, the value of r is?
Answer:
Add the 1/3 to look for the r
Step-by-step explanation:
good luck
What happens to a figure that is dilated by a factor of ½ .
Answer:
i really dont know
Step-by-step explanation:
Rhian sat a maths test and an English test In the Maths test she scored 14 out of 17 In the English test she scored 31 out of 39 In which test did she do better
Answer:
Rhian did better in the Math test.
Step-by-step explanation:
Given: Rhian scored [tex]14[/tex] out of [tex]17[/tex] in a Math test. In the English test she scored [tex]31[/tex] out of [tex]39[/tex].
To find: In which test did she do better?
Solution:
We have,
Rhian scored [tex]14[/tex] out of [tex]17[/tex] in a Math test.
Rhian scored [tex]31[/tex] out of [tex]39[/tex] in an English test.
So, first we need to find the percentage of the marks scored.
Percentage in the Math test [tex]=\frac{14}{17}\times100=82.35 \%[/tex].
Percentage in the English test [tex]=\frac{31}{39}\times100= 79.49\%[/tex].
Clearly, the percentage in the Math test is greater than the percentage in the English test.
So, Rhian did better in the Math test.
Answer:
maths
Step-by-step explanation:
as the percentage for maths is 82.
Here is a triangle with some right triangles in it
Which triangles are similar to AED
Find the length of segment FA (Ef is 8 units and ED is 10 units)
Answer
5.33 units
Step-by-step explanation:
uh kakis
William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally. How much will each person pay? *
Answer:
Each person will pay $9.78
Step-by-step explanation:
Given that:
Amount of bill = $34
Tip = 15%
Amount of tip = [tex]\frac{15}{100}*34[/tex]
Amount of tip = 0.15 * 34
Amount of tip = $5.10
Amount after bill = 34 + 5.10 = $39.10
Number of people = William + three friends = 4
Per person share = [tex]\frac{39.10}{4}[/tex]
Per person share = $9.775
Rounded to two decimal places
Per person share = $9.78
Hence,
Each person will pay $9.78
Solve for x !!
PLEASE
Answer:
i think its 72
Step-by-step explanation:
The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed look at the picture please
Answer:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptPlane A
From the given equation
y = 470x
where
x is the time that plane flies in hours
y is the distance the plane flies in miles
Thus, comparing with the slope-intercept form y = mx+b
The rate of change or slope = 470
It means plane A is flying 470 miles per hour.
Plane B
Given the table
Time (h) 1 2 3 4
Distance (mi) 480 960 1440 1920
Finding the slope by taking any two points, let say, (1, 480) and (2, 960)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:480\right),\:\left(x_2,\:y_2\right)=\left(2,\:960\right)[/tex]
[tex]m=\frac{960-480}{2-1}[/tex]
Refine
[tex]m=480[/tex]
Therefore, the rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Conclusion:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.5. Order from least to greatest.
4996,
10
48%
3. 41
0.408,
7100
Answer:
0.408
48%
3.41
10
4996
7100
Step-by-step explanation:
Answer:
It should be 0.408, 48%( which is equal to 0.48), 3.41,10,4996,and 7100
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!!!!
please help me answer all of these
Answer:
y int:(0,8)
x int:-2&4
vertex:(1,9)
max y=9
axis of symetry x=1
domain: all real number
range: y less than or equal to 9
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answer:
the answer is 29
Step-by-step explanation:
good luck! <33
Answer:
The answer is 203
Step-by-step explanation:
I started off by dividing 609 by 3 and your answer is on the top. You're welcome!!
A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
What is the original price of the pair of headphones?
Answer:
21.6
Step-by-step explanation:
i did the math
what is 6x to the 3rd power divided by (2x to the 4th power) to the 2nd power
Answer:
I’m pretty sure it’s just 3x^2
Step-by-step explanation:
6x^3/2x^4= 3x^-1
(3x^-1)2= 3x^2
Please help i have no idea how to do this
given a polynomial and one of its factors find the remaining factors of the polynomial (5x^3-17x^2+6x);(x-3)
Answer:
x • (3x + 1) • (x + 2) • (2x - 3)
Step-by-step explanation:
Choose the graph that is represented by the function:
y=- 63/4x2 + x4 - 4
Select one:
a. D
b. B
c. C
d. A
Answer:
is a. D.
Step-by-step explanation:
I hope you serve my answer and goodluck ^^