Given:
Length of a rectangular monitor screen is 5 in more than it's width.
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
To find:
The length and width of the screen.
Solution:
Let width of the screen be x inches.
Length of a rectangular monitor screen is 5 in more than it's width. So,
Length of screen = (x+5) inches
Area of screen is
[tex]Area=length\times width[/tex]
[tex]A_1=(x+5)\times x[/tex]
[tex]A_1=x^2+5x\text{ in}^2[/tex]
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
New length = 2(x+5) inches
New width = (x-1) inches
So, new area is
[tex]A_2=2(x+5)(x-1)[/tex]
[tex]A_2=(2x+10)(x-1)[/tex]
[tex]A_2=2x^2+10x-2x-10[/tex]
[tex]A_2=2x^2+8x-10 \text{ in}^2[/tex]
Area increased by 170 in².
[tex]A_2-A_1=170[/tex]
[tex](2x^2+8x-10)-(x^2+5x)=170[/tex]
[tex]2x^2+8x-10-x^2-5x=170[/tex]
[tex]x^2+3x-10=170[/tex]
Subtract 170 from both sides.
[tex]x^2+3x-10-170=0[/tex]
[tex]x^2+3x-180=0[/tex]
Splitting the middle term, we get
[tex]x^2+15x-12x-180=0[/tex]
[tex]x(x+15)-12(x+15)=0[/tex]
[tex](x+15)(x-12)=0[/tex]
[tex]x=-15,12[/tex]
Width cannot be negative. So, x=12.
Width = 12 inches
Length = 12+5 = 17 inches
Therefore, the length of screen is 17 inches and width is 12 inches.
NEED ANSWER ASAP!
How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph?
I WILL MARK BRANIEST
Answer:
t=0.57h
Step-by-step explanation:
Is the relation a function?
O Yes
O No
O Cannot be determined
Answer:
is the relation a function
No
Write 0.00000029 in scientific notation.
[tex]29 \times {10}^{ - 8} = 2.9 \times {10}^{ - 7} [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Please help
Which row of the table reveals the y-intercept of function f?
Answer:
second row x=0 f(x)=2
Step-by-step explanation:
when x= 0 the f(x) = y-intercept
Second row of the table reveals the y-intercept of function f.
What are intercepts?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
According to the question
Y intercept of the function f :
y-intercept is the point where a line crosses the y-axis.
i.e x = 0
Only Second row satisfy this condition .
Hence, Second row of the table reveals the y-intercept of function f.
To know more about intercept here:
https://brainly.com/question/3334417
#SPJ2
what is the solution of the inequality 4+5x<-19
Answer: x>−3
Step-by-step explanation:
Pull out like factors :
-15 - 5x = -5 • (x + 3)
Divide both sides by -5
Remember to flip the inequality sign
Subtract 3 from both sides
x > -3
Inequality plot for
-5.000 X - 15.000 > 0
Answer:
9
Step-by-step explanation:
rolex worked 40 hours last week. he had $74 deducted from his earnings for taxes. if he had $286 left after deduction, how much does rolex earn per hour?
five million, forty-three thousand, two hundred ninety-nine in numbers
Answer:
5,043,299
Step-by-step explanation:
five million = 5,000,000
forty-three thousand= 43,000
two hunded = 200
ninety-nine = 99
Answer:
5,043,299
Step-by-step explanation:
i thinks its that
ALGUIEN POR FAVOR AYUDEME A RESOLVER ESTOS 3 PROBLEMAS
Answer:
a. x^2 - 1
b. x^2 - 6x + 9
c. [tex]\dfrac{3x + 1}{x^2 + x}[/tex]
Step-by-step explanation:
a.
(x + 1)(x - 1) =
= x^2 - x + x - 1
= x^2 - 1
b.
(x - 3)^2 =
= (x - 3)(x - 3)
= x^2 - 3x - 3x + 9
= x^2 - 6x + 9
c.
[tex] \dfrac{3 + \frac{1}{x}}{1 + x} = [/tex]
[tex] = \dfrac{x(3 + \frac{1}{x})}{x(1 + x)} [/tex]
[tex] = \dfrac{3x + 1}{x + x^2} [/tex]
[tex] = \dfrac{3x + 1}{x^2 + x} [/tex]
If Ryan gives 4/9 of his 36 cards to Josiah, how many cards does he give Josiah?
Answer:
16 cards
Step-by-step explanation:
Answer:
Ryan gave 16 cards to Josiah.
Step-by-step explanation:
First we will divide 36 by 9.
36/9 = 4
We know that 1/9 of 36 is 4.
1/9 + 1/9 + 1/9 + 1/9 = ?
4 + 4 + 4+ 4 = ?
4 * 4 = 16
4/9= 16
Ryan gave 16 cards to Josiah.
The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2
Answer:
I think it's b I don't know for sure though
Step-by-step explanation:
I don't know for sure tho
Using inverse function concepts, the correct option is:
B. Domain: x < -2 Range: y> 3
--------------------------
The domain of a function is the set that contains all possible input values.The range of a function is the set that contains all possible output values.In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.For the original function, the domain is x > 3 and the range is y < -2.Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.A similar problem is given at https://brainly.com/question/24603090
C 0
An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store
contains details about brand, type (countertop or over-range), number of power settings, and color. Which of the
variables is a discrete quantitative variable?
O brand
O type
power settings
O color
Answer:
Power settings.
Step-by-step explanation:
In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.
Basically, random variables are classified into two (2) main categories and these are; continuous and discrete random variable.
A discrete random variable is a data set in which the number of possible values are either finite or countable. For example, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
In this scenario, an appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, type (countertop or over-range), number of power settings, and color.
Hence, the variable which is a discrete quantitative variable is the number of power settings because its values are countable or finite, usually it ranges from 100 to 800.
The table (below) shows the amount of fuel left in your RV while driving. What type of function can you use to model the data? Estimate the amount of fuel left in your tank after driving for 90 minutes.
Im a lil confused someone help explain the problem please :)
Answer:
the answer is 4
Step-by-step explanation:
hope this helps
4.
Convert the following times into decimal time on the 24 hour clock:
1:30 PM=
09:12 AM=
11:54 PM=
4:15 PM=
Answer:
1:30pm = 13:30pm
09:12am = 09:12am
11:45 pm = 23:54pm
4:15pm = 16:15pm
Step-by-step explanation:
I'm in military school :)
Here goes another question
Answer:
y = x - 8
Step-by-step explanation:
In order to solve this, we need to use point-slope form.:
y - y1 = m(x - x1)
Substitute the numbers into the equation:
y - (-8) = 1(x - 0)
y + 8 = x
y = x - 8
What type(s) of symmetry does the figure have?
Answer:
both points and rotational only
Answer:
I would say point and rotational symmetry SUPER MEGA sorry if im wrong
Convert 132 pounds to kilograms. Use 1 kg = 2.2 lb.
1kg = 2.2lb
1lb = 0.454kg
132lb = 0.454*132
132lb = approx 60kg
Negative ten is no less than two times a number plus fourteen.
Answer:
-10 ≥ 2x + 14
Step-by-step explanation:
-10 ( negative ten )
≥ ( symbol for no less )
2x ( two times a number)
14 ( plus fourteen )
?
Janice decides to buy a WinOne and a Playball ticket every
day for the next 400 days. Theoretically, which lottery can
she expect to win more often, and how many times would she
win on average?
Winone, three times
PlayBall, two times
PlayBall, five times
Winone, four times
Answer:
It’s not c on Plato
Step-by-step explanation:
Estimate the product. Then find the exact product.
7.9(10.1)
estimated product = 80, exact product = 7.97
estimated product = 80, exact product = 79.79
estimated product = 80, exact product = 797
estimated product = 80, exact product = 7,979
Answer:
79.79
Step-by-step explanation:
Please someone helpppp!!!
Answer:
i think it is false, true, false
Step-by-step explanation:
Which of the following criteria always proves triangles
congruent?
Select all that apply?
(Select all that apply)
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
Geometry
Answer:
The correct options are;
3 Congruent sides
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
Step-by-step explanation:
The conditions for congruency are;
Two triangles are congruent when
AAS which is the acronym for corresponding Angle-Angle-Side are congruent
SAS which is the acronym for corresponding Side-Angle-Side are congruent
SSS which is the acronym for corresponding Side-Side-Side are congruent
ASA which is the acronym for corresponding Angle-Side-Angle are congruent.
The criteria that always proves triangles
are congruent are;
Option A; Corresponding congruent Angle-Side-Angle
Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-Side
Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-SideOption D: 3 congruent sides
There are some congruence theorems that prove that two triangles are congruent and they are;
1) SSS; This means Side - Side - Side and it denotes that the 3 corresponding sides of both triangles are congruent.
2) SAS; This denotes Side - Angle - Side and it denotes that the 2 corresponding sides and the included corresponding angle are congruent.
3) ASA; This denotes Angle - Side - Angle and it means that the 2 corresponding angles and the included corresponding side are congruent.
4) AAS; This denotes Angle - Angle - Side and it denotes that the 2 corresponding angles and corresponding non-included side are congruent.
In conclusion, from the options, options A, B & D.
Read more at; https://brainly.com/question/10533727
The length of cell A is 8x10 to the power of negavtive 6 m. The length of cell B is0.0000004 m. What is the ratio of cell A's length to cell B's length? Use pencil and paper. Is it easier to find the ratio when the numbers are expressed in scientific notation or in standard form? Explain your reasoning.
Answer:
Ratio of length of cell A to cell B is 20 : 1
Step-by-step explanation:
Length of cell A = [tex]8\times 10^{-6}[/tex] m
Length of cell B = 0.0000004 m
Convert the length of cell B into scientific notation.
Length of cell B = [tex]4.0\times 10^{-7}[/tex]
Now the ratio of the lengths of cell A and cell B = [tex]\frac{8.0\times 10^{-6}}{4.0\times 10^{-7}}[/tex]
= [tex]2\times 10^{7-6}[/tex]
= 20
Therefore, ratio of length of cell A to cell B is 20 : 1
9g + 14g + 4 = –19
plz help
Answer:
g=-1
Step-by-step explanation
Answer:
g=-1
HAVE A nice day
I NEED HELP ON THIS PLEASE!!
Below are the test scores for Ms. Brown's 1st and 2nd period math classes. Analyze the data and choose EACH correct statement:
1st period (Class A): 10, 15, 20, 25, 30, 35, 40
2nd period (Class B): 7, 12, 17, 25, 33, 38, 43
The standard deviation for Class A is 10
The standard deviation for Class B is 12.615
These are the options:
- The mean (average) score for each class is the SAME.
-The mean (average) score for each class is DIFFERENT.
- The variance for Class A is 125.
- The variance for Class B is 159.14.
- Class A has a greater spread.
- Class B has a greater spread.
- Based on the data, a score of 8 is more likely in Class B than Class A.
- If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.
Answer:
hope that helps
Step-by-step explanation:
- If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.
- Based on the data, a score of 8 is more likely in Class B than Class A.
- Class A has a greater spread.
What fraction of an hour is 8 minutes?
Give your answer in its simplest form.
Answer:
2/15
Step-by-step explanaion
4/30 simplified is 2/15
A music sharing service has an initial fee of $25 and a monthly fee of $6. When a person joins the service, it costs the company $70 to create the new account. Which inequality can be used to determine how many months, m, it would take for the company to stop losing money on a new customer?
Answer: [tex]25+6m > 70[/tex]
Step-by-step explanation:
Let m = Number of months
Combined charges for music sharing service = 25+6m
Cost of joining to company = $70
According to the question,
Combined charges > Cost of joining to company (To find number of months it would take for this)
[tex]25+6m > 70[/tex] (required inequality)
If -11 + N = -11, then N is the
Answer:
additive identity
Step-by-step explanation:
-11+N=-11 N=0
ADD 11 TO BOTH SIDES
-11+N+11 =-11 +11
(-11 AND 11 CANCEL EACH OTHER OUT ) THEREFORE
N=0
*Additive Identity Property states The sum of any number and 0 is that number.
Determine the domain and range of the given function.
The domain is
The range is
Help me brush pls I am totally dunk at mat
Answer:
Proportional
Step-by-step explanation:
A proportional graph is a straight line that passes through the origin.
A non-proportional graph can be a straight line, but it does NOT pass through the origin.
Therefore, this is a proportional graph.
Hope this helps :)
Any help with this plz!!! <33
Answer:
A = 37°B = 63°C = 16°Step-by-step explanation:
The tangent function relates an angle to the measures of its adjacent and opposite sides. The inverse tangent (arctan) function can be used to find the angle from its tangent value.
Tan = Opposite/Adjacent
angle = arctan(opposite/adjacent)
A = arctan(3/4) ≈ 37°
B = arctan(2/1) ≈ 63°
C = arctan(2/7) ≈ 16°