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.
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If Blake wanted to use the Substitution method to solve the following system of equations, what could be a good first
step?
31 + 4y=17
2 + 6y=24
A Cancel out the "x" terms
B Multiply the second equation by (-3)
Add 3 to the second equation
Solve the second equation for x
Answer:
solve the second equation for x
Banks provide a number of services including all of the following except __________.
A. Payday Lending
B. Safety Deposit Boxes
C. Checking Assets
D. Cashier's Checks
Answer:
A. Payday Lending
Explanation:
Payday Lending is common for small lending companies and not banks. They assist clients who have a minimal amount of salary to borrow a small amount of money with a high interest. The amount of money he can borrow will depend on the amount of salary he receives per month. The client will not be required to give any form of collateral for the borrowed money, thus, the client is said to be high-risk. However, he will have to return the money over a short period of time with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.
Banks prefer to offer loans to people who have a steady income and a certain amount of salary.
Find the angle measure.
The measure of angle XYZ is
Answer:
∠XYZ = 102Step-by-step explanation:
1st step is to solve x from ΔWXY
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
2nd step is to substitute x = 8 into ∠XYZ
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
If -2x+4= 8, will x be positive or negative? Without solving the equation, explain how you know.
Answer:
x is negative
Step-by-step explanation:
I know x will be negative without solving the equation because we can see that both sides equal positive 8 and for -2x to be positive the x value must be negative. when two negative values are multiplied they change into positive. If the x value was Positive this equation would be false.
Hope this helps you
Answer:
Yes, x will be negative.
We are given:
-2x + 4 = 8
This means that "something", in this case -2x, added to 4, equals 8
The only thing that can add to 4 and equal 8 is 4.
So, that means -2x has to equal 4, which is a positive number.
Negative x negative = positive.
-2 is already a negative number, so x has to be a negative number.
EFGH is a parallelogram. Find the given side length. Please help
Answer:
EF=35
EG=22
Step-by-step explanation:
EF
7y-14=2y+21
5y=35
y=7
EF=7(7)-14=49-14=35
EG
15x+7=12x+10
3x=3
x=1
EG=15(1)+7=15+7=22
Answer:
(a). 35 units ; (b). 44 units
Step-by-step explanation:
(a). 7y - 14 = 2y + 21 ⇒ y = 7
EF = 7(7) - 14 = 35 units
(b). EJ = JG
15x + 7 = 12x + 10 ⇒ x = 1
EG = 2 × (15(1) + 7) = 44 units
Help me plzzzzzzz I really need help
Answer:
41
Step-by-step explanation:
y = 4x + 21
y = 4 x 5 + 21
y = 20 + 21
y = 41
Answer:
The answer is 41
y=4x+21
Step-by-step explanation:
y=4x+21
y=4(5)+21
y=20+21
y=41
how do I find the factor of the trinomial
x²+x-20
Answer:
(x+5)(x-4)
Step-by-step explanation:
Answer:
(X-4) (X+5)
Step-by-step explanation:
look for 2 numbers that multiply to be -20 and adds up to be 1 which ould be -4 and 5
Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
62 personsStep-by-step explanation:
Step one:
given data
total budget=$2500
we are told that the hall charges $60 for cleanup, the amount is a fix charge
and per person is $39
let the number of persons be x
The model for the situation is described by y=mx+c
Step two:
2500=39x+60
solve for x
2500-60=39x
2440=39x
divide both sides by 39 we have
x=2440/39
x=62.56
The greatest number of people that they may invite and still stay within their budget. is 62
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 247x + 141
Answer: 15,99s
when the rocket hit the ground => y = 0
=> -16x² + 247x + 141 = 0 (*)
a = - 16 b = 247 c = 141
Δ = b² - 4ac = 247² + 16.4.141 = 70033 > 0 => (*) has 2 solutions
=> x = [tex]\frac{247-\sqrt{70033} }{32}=-0,55(removed)[/tex]
or x = [tex]\frac{247+\sqrt{70033} }{32}=15,99(s)[/tex]
Step-by-step explanation:
Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,
Answer:
-1029
Step-by-step explanation:
24, 11, -2...
f(n) = 24 - 13n
f(81) = 24 - 13(81) = 24 - 1053 = -1029
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m2 = m6
1. AD BC
2. DC AB
3. none
Answer:
Its DC and AB
On a roadtrip, the distance driven can be represented by
the following equation
y = 152
where x is the number of gallons of gas.
What does the 15 represent?
15 represent the car travled 15 miles / gallons.
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
We have been given that -
y = 15 * x
Where y = the distance and
x = the number of gallons of gas to cover that distance.
A common unit of capacity in English-speaking countries, equal to four quarts, the U.S. standard gallon being equal to 231 cubic inches (3.7853 liters), and the British imperial gallon to 277.42 cubic inches (4.546 liters).
Consider the units:
y[miles] = 15[??] * x[gallons]
15[??] = y[miles] / x[gallons]
[??] = [miles] / [gallons]
So the units of the parameter 15 must be [miles / gallon] to convert the gallons to miles.
Therefore 15 represents the miles / gallon for the vehicle.
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Well, hello! I need help with both of these questions. If you can help me, P l e a s e do! Billy collected 256 conks but lost ¾ of them on his way to school through a hole in his bag. When he arrived at school how many conks did Billy had left? Skateboards cost €36 each in my local store. The shopkeeper says if I buy one I can buy another for only 7/9 of the normal price. How much would a second skateboard cost?
Answer: 64 ; $28
Step-by-step explanation:
A. Billy collected 256 conks but lost ¾ of them on his way to school through a hole in his bag. When he arrived at school how many conks did Billy had left?
Number of conks collected by Billy = 256
Fraction lost = 3/4
Amount lost = 3/4 × 256 = 192
Number of conks Billy has left will be:
= 256 - 192
= 64
B. Skateboards cost €36 each in my local store. The shopkeeper says if I buy one I can buy another for only 7/9 of the normal price. How much would a second skateboard cost?
This will cost:
= 7/9 × $36
= 7 × $4
= $28
simplify
4m+2mn+m^2+m+3m^2
Answer:
4m^2+ 5m +2mn
Step-by-step explanation:
The simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
The expression given is 4m + 2mn + m² + m + 3m².
We have to simplify the above expression.
What are the variables ?
A variable is a term which represents an unknown number or unknown value or unknown quantity.
As per the question ;
The expression given is 4m + 2mn + m² + m + 3m²
Let's simplify this by adding similar variables ;
4m , m are same variables
i.e., 4m + m = 5m
Similarly ,
m² and 3m² are same variables
i.e., m² + 3m² = 4m²
So ,
The value after simplification will be ;
4m + 2mn + m² + m + 3m²
= 4m²+ 5m + 2mn
Thus , simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
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Molly bought 2 pounds of jelly beans for
$2.99. How much would 7 pounds of jelly
beans cost?
(Round your answer to the tenths place.)
Answer:
10.5
Step-by-step explanation:
2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.
The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval
Answer: average y = -8 average y =2
ARC : -4
Step-by-step explanation:
Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
Given
The graph of [tex]y = f(x)[/tex]
See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]
The line segment is represented by a green line
To determine the average rate of change using the line segment; we have the following values.
When [tex]x =5; y = 8[/tex]
When [tex]x =7; y = 0[/tex]
So, the average rate of change (m) is:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
Where:
[tex]\Delta y = y_2 - y_1[/tex]
[tex]\Delta y = 0-8[/tex]
[tex]\Delta y = -8[/tex]
[tex]\Delta x = x_2 - x_1[/tex]
[tex]\Delta x = 7 - 5[/tex]
[tex]\Delta x = 2[/tex]
So, we have:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
[tex]m = \frac{-8}{2}[/tex]
[tex]m = -4[/tex]
Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
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Complete the statements about circle Z. A central angle, such as angle ____ of circle Z, is an
Answer:
A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.
Answer:
do you have a pic of the circle
Step-by-step explanation:
David can complete 4 math problems in 15 minutes. He has 20 math problems to do. How long will it take him to finish his test?
Answer:
75 min or 1 hour and 15 min
Step-by-step explanation:
15/4
=3.75
3.75*20
=75
PLS HELP!!! find the length of side a
Answer:
2
Step-by-step explanation:
the slope is always 1/2 so 5-3
Answer:
a = 4
Step-by-step explanation:
a = ?
b = 5
c = 3
a = √ (c^2 - b^2)
a = √ (3^2 - 5^2)
a = √ 25 - 9
a = √ 16
a = 4
Determine o valor do termo representado pela incógnita nas proporções a seguir.
a) x6= 32
b) 15= 4y
c) 2x+39= 57
Me ajudem pelo amor de deus
Answer:
a. x6= 32
x = 32/6
x = 5.33
b. 15 = 4y
4y = 15
y = 15/4
y = 3.75
c. 2x+39= 57
2x = 57 - 39
x = (57 - 39)/2
x = 9
plz help
What is the intersection of a plane and a solid figure called?
three-dimensional figure
cross section
two-dimensional figure
base
Answer:
B
Step-by-step explanation:
The intersection of both a solid figure and a plane is called a cross section
Answer:
cross section
Step-by-step explanation:
i had this same question on ossadayware
Andrea has $18 to spend. She spent $6.50, including tax, to buy a notebook. She needs to save $5.75, but she wants to buy a snack. If candy bars cost $1.15 per package including tax, what inequality would show the maximum number of packages that Andrea can buy? Solve your inequality by showing your work and steps. Please help
Answer: total cost of the stuff she buys ≤ 18 since she only has 18 dollars to buy stuff
Step-by-step explanation:
let's add up the cost of the stuff she buys:
- a flat cost of $6.50
- a savings of $5.75 (she's technically not spending money but we can count this as part of her expenses since it's taking away from the 18 dollars)
- some number (x) candy bars. if each candy bar costs $1.15 then the money she spends on candy bars is $1.15
with that being said:
6.50 + 5.75 + 1.15x ≤ 18
solve for x
since we are talking about whole # candy bars, if you get a decimal from this, round down to the nearest whole #
Answer:
Andrea can buy 5 candy bars.
Step-by-step explanation:
First to solve this we will subtract 6.50 from 18 because Andrea already spent that money. Then we must subtract 5.75 from 18 because Andrea can't spend that money. All the subtracting equals 5.75. After that we can divide the remaining money by 1.15 to see how many candy bars we can buy which equals 5. Finally the answer is that Andrea can buy 5 candy bars.
What is the factorization of x^2-4x+3?
Answer:
D. (x - 3)(x - 1)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] x² - 4x + 3
The factors of 3 that sum to -4 are -1 and -3.
So,
[tex] \longrightarrow [/tex] x² - x - 3x + 3
[tex] \longrightarrow [/tex] x(x - 1) - 3(x - 1)
[tex] \longrightarrow [/tex] (x - 3)(x - 1)
Which expression is equivalent to (xy)z?
A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)
Answer:
c
Step-by-step explanation:
Answer:
It's C Aka x(yz)
Step-by-step explanation:
I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)
Check the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
4/25
Step-by-step explanation:
Its 4/25 as a fraction
matt is playing a game. he gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. what is the final score?
Answer:
-9 points
Step-by-step explanation:
He starts at 0 but gains 7 [7] then loses 10 [-3] gains 2 [-1] and loses 8 [-9]
Find the gradient of the line segment between the points (0,6) and (2,16)
Answer:
Step-by-step explanation:
(16-6)/(2-0) = 10/2 =5
HEEEEEELP MEEEEEEE PLZZZZ WILL CHOOSE BRAINLIEST
Answer:
no jami can not mow 1 1/2 in 1 hour
Step-by-step explanation:
well 1/6 * 9 = 1.5
8 * 9 = 72
i would take her 1 hour and 12 minutes to mow
please help quick :) (I'll give brainliest, whatever it's called.)
A relation contains the points (−2, 0), (−1, −1), (0, 2), (1, 0), and (1, −2). (show work if you can)
A. The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
B. The relation represents y as a function of x, because one value of y is associated with two values of x.
C. The relation does not represent y as a function of x, because one value of x is associated with two values of y
D. The relation represents y as a function of x, because each value of x is associated with a single value of y.
Answer:
C. The relation does not represent y as a function of x, because one value of x is associated with two values of y
Step-by-step explanation:
I chose choice c because in the relation we can see that the x-value 1 repeated but their y-values are different, one has 0 as its y-value and one has -2 as its y-value. In a function, this can't happen so it's not a function.
Hope this helps you
which of the following shows 3x+15+6x-7+y in simplest terms?
A) 18x + 8y
B) 9x + 22 + y
C) 9x + y + 8
D) 26xy
Answer:
is it c im not sure think not to 2 my bad i ment
cStep-by-step explanation:
Answer:
C.
Step-by-step explanation:
We have the expression:
[tex]3x+15+6x-7+y[/tex]
Let’s reduce this to simplest terms by combining like terms. So:
[tex]=(3x+6x)+(y)+(15-7)[/tex]
Compute:
[tex]=9x+y+8[/tex]
Hence, our answer is C.