Answer:
x = 2sqrt(5) or x = -2sqrt(5)
Step-by-step explanation:
5x^2 - 12 = 88
5x^2 = 100
x^2 = 20
x = +/- sqrt(20)
x = 2sqrt(5) or x = -2sqrt(5)
Answer:
[tex]x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]
Step-by-step explanation:
Given equation: [tex]5x^2-12=88[/tex]
Step 1: Add 12 to both sides.
[tex]\\\implies 5x^2-12+12=88+12\\\\\implies 5x^2=100[/tex]
Step 2: Divide both sides by 5
[tex]\\\implies\dfrac{5x^2}{5}=\dfrac{100}{5}\\\\\implies x^2=20[/tex]
Step 3: Take the square root of both sides (positive and negative roots).
[tex]\\\implies \sqrt{x^2}=\sqrt{20}\\\\\implies x=\pm\ \sqrt{20}[/tex]
Step 4: Simplify.
[tex]\\\implies x=\pm\ \sqrt{4\times5}\\\\\implies x=\pm\ 2\sqrt{5}[/tex]
Step 5: Separate into two cases.
[tex]\implies x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]
Another example:
https://brainly.com/question/20778317
need help asap!!!
What is the solution of the following system?
Use the substitution method.
{y+7=3x6x−2y=12
The only solution is (14, 12) .
The only solution is (12, 14) .
There is no solution.
There are an infinite number of solutions.
Answer:
there is no solution
Step-by-step explanation:
y + 7 = 3x
6x - 2y = 6 which can be simplied to be 3x - y = 6 (divide by 2)
let y = 3x - 7
substitute: 3x -(3x - 7) = 6
3x - 3x + 7 = 6
7 ≠ 6 therefore, no solution
find the value of x
x=
Answer:
x = 4
Step-by-step explanation:
Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values
[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 12 ( divide both sides by 3 )
x = 4
Someone please help me with this question
It would be in the order it is
What is the common difference for 9,11,13,15,17,19
Azif is a project manager for a publishing company. His yearly salary is $65,00. This year he will also get a bonus that is 2% of his salary. What is Azif's gross income?
Answer:
Gross income= $66,300
Step-by-step explanation:
Giving the following information:
Yearly salary= $65,000
Bonus= 2% of the salary
To calculate the gross income, first, we need to determine the monetary value of the bonus:
Bonus ($)= 65,000*0.02
Bonus ($)= $1,300
Now, the gross income:
Gross income= 65,000 + 1,300
Gross income= $66,300
please help me I don't get it
Answer:
5
Step-by-step explanation:
1/6 X 6 = 1 X 5 = 5
6 X 5 = 30
The Correct Answer is 5
im stuck on this question i need help
A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 lbs. Each shipment container weighs 20 lbs., and there is 1 lb. of packing material. A clay flower pot weighs 15 lbs., whereas a plastic flower pot weighs 7.5 lbs.
(A) Write a system of inequalities that represent the constraints on the number of pots that can be included in one shipment.
The system of inequalities can be obtained from the given information
on the allowable weights and number of pots.
The correct responses:
The system of inequalities that represent the constraint on the number
of pots that can be included in one shipment are;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Methods used to find the system of inequalitiesThe inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8
The inequality that represents weight of each shipment is w < 100 lbs
The weight of each shipment container = 20 lbs
The weight of the packing material = 1 lb
Therefore;
The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbsThe weight of each clay flower pot = 15 lbs
The weight of each plastic flower pot = 7.5 lbs
Let "x" represent the number of clay flower pot included in one shipment
and let "y" represent the number of plastic flower pot included in one
shipment, we have;
The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Learn more about inequalities here:
https://brainly.com/question/10868639
We will find the system of inequalities:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
How to write a system of inequalities?
First, we need to define the variables that we will be using, these are:
C = number of clay pots.P = number of plastic pots.From the first restriction, we have that:
2 ≤ P + C ≤ 8
The other restriction says that the weight must be less than 100lbs:
W < 100lbs
Where the weight is:
W = C*15 lb + P*7.5lb + 20lb + 1lb
Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:
C*15 lb + P*7.5lb + 20lb + 1lb < 100lb
We can subtract 21 lb in both sides to get:
C*15 lb + P*7.5lb < 100 lb - 21 lb
C*15 lb + P*7.5lb < 79 lb
So we got our two inequalities, then the system is:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
If you want to learn more about systems of inequalities, you can read:
https://brainly.com/question/9774970
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
please help
Answer:
x≤2 or x≥-6
Step-by-step explanation:
Isolate the variables on both equations
3x-4≤2
3x≤6
x≤2
2x+11≥-1
2x≥-12
x≥-6
Seven students took a spelling test. The following represents each student’s score. What is the median score?
24, 25, 25, 33, 35, 36, 39
Answer:
33
Step-by-step explanation:
please mark me as brainliest!!<3
Write on equation if the slope is 3/4
and the y-intercept is -4,
Answer:
thw abswer os tywentr yaxel
Step-by-step explanation:
In the diagram AB is parallel to CD. What is the value of X
Answer:
B) 120
Step-by-step explanation:
PLEASE HELP !!! ASAPPPP Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
O 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3 fraction.
O 1 over 4 of 10 times the sum of 5 and 3, minus 3
O 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
O 10 times fraction 1 over 4 plus 3 and 5, minus 3
Answer:
I think its the first one...
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
17) Find DE 3x - 28 3x – 30 G E F 33
The numerical length of DE is 11.
We have a Line Segment DG such that E and F is between D and G.
We have to determine the length of DE.
What is Line Segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
According to question, we have -
DE = 3x - 28
EF = 3x - 30
FG = x
DG = 33
Now -
DG = DE + EF + FG
33 = 3x - 28 + 3x - 30 + x
7x = 33 + 58
7x = 91
x = 13
Therefore -
DE = 3x - 28 = 3 x 13 - 28 = 39 - 28 = 11
Therefore - DE = 11
Hence, the numerical length of DE is 11.
To solve more questions on Lines and Lengths, visit the link below -
brainly.com/question/16345328
#SPJ2
A middle-school art teacher, Ms. Velez, and her students are turning the school’s gymnasium into a student art museum for the day.
Ms. Velez types a program for the event and writes: "The most popular art museum in the world, the Louvre, has approximately 9,300,000 visitors each year. About 1,900,000 of those visitors are young people age 18 to 25."
1) How would you write the two numbers above in scientific notation? (2 points)
2) BONUS: Approximately what percent of visitors to the Louvre are young people?
Answer:19 to the 5th power
Step-by-step explanation:
U got to count all the zeros and that will be the number u put on top plus 19
Prove the Isosceles Triangle Theorem as a paragraph proof.
Answer:
Reflexive Property
SAS
<C
on a graph there are two points (0,3) and (8,0) what is the proper equation
Answer:
The line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]Step-by-step explanation:
Given the two points
(0,3)(8,0)Finding the slope between (0,3) and (8,0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]
[tex]m=\frac{0-3}{8-0}[/tex]
[tex]m=-\frac{3}{8}[/tex]
Therefore, the slope of the line: m = -3/8
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -3/8 and the point (0,3)
[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]
[tex]y-3=-\frac{3}{8}x[/tex]
Add 3 to both sides
[tex]y-3+3=-\frac{3}{8}x+3[/tex]
Simplify
[tex]y=-\frac{3}{8}x+3[/tex]
Therefore, the line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]Help me out with this please??? someone??? A model airplane is built with a wing span of 23 inches. The actual wingspan is 92 feet. What is the scale of the model???
Answer:
The scale is five. you do 90 divided by 18.
What is the slope of a line parallel to the line whose equation is 18x - 3y = -45 fully reduce your answer
What is 15.2 m to mm
Answer:
15200mm
Step-by-step explanation:
I just asked googl
Answer:
15.2m is 15200mm
Step-by-step explanation:
you multiply or divide the original number by however many tens places the other measurement is away. So, 15.2(m) is 3 tens places away from (mm) so you would multiply 15.2(m) by 1000 (15.2 x 1000) and you would get 15200
David has 768 gumballs. He decides to give 95% of them to a friend as a birthday present. How many gumballs does David give away?
Answer:
729.6
Step-by-step explanation:
to much
4(10s) – 20 – 50s – 12 + 4s PLEASE HELP AND EXPLAIN
Darren has just unplugged his fridge so it can defrost. Thefreezer is at 17 degrees and warms up at 11 degrees an hour.The fridge part is at 23 degrees and rises 8 degrees per hour.How many hours will it take for both the fridge and thefreezer to be the same temperature? What is thetemperature change in that time span?
Answer:
im not sure
Step-by-step explanation:
wish i could help!! :((
bUT THANKS for the pointssssssss
Answer:
they intercept at (2,39)
Step-by-step explanation:
so, the starting point is the y int, and the rate it warms up is the slope so you need to create an equation that follows y=mx+b, then you can use a graphing calculator like desmos, to graph the equation.
the equations would be y=11x+17 and 8x+23, x represents hours.
What is a point-slope equation of the line with a slope -10 that goes through the point (1,4)
A. y + 4 = 10 (x + 1)
B. y + 4 = -10( x + 1)
C. y - 4 = 10 (x - 1)
D. y - 4 = -10 (x - 1)
Answer:
D. y-4=-1(x-1)
Step-by-step explanation:
A model is made of an Airbus A300 aeroplane.
The length of the model is 36 cm.
The length of the real aeroplane is 54 m.
Answer:
Since the Airbus A300 model airplane was made to scale, measuring 36 centimeters, while the real airplane measures 54 meters, to determine the scale ratio between both planes, the following calculation must be performed:
36cm = 0.36m
0.36 = 1
54 = X
54 x 1 / 0.36 = X
150 = X
Therefore, the scale ratio between the model and the real plane is 150:1.
Please help!!!!!!!!! Anthony is preparing to paint a large shipping container and needs to calculate the area of the container so he can buy the correct amount of paint. The equation he uses to find the area, A, in square feet is A= 2( lw + wh + lh) where l is the length, w is the width, and h is the height The container is 8 feet wide, 12 feet high, and 24 feet long. What is the area of the container in square feet? Answer choices: A. 567, B. 1152, C. 2304, D. 4608
Answer: I need help too to that
Step-by-step explanation:
Answer: 1,152
Step-by-step explanation:
ay someone help me out please?
Answer:
a, c, and d
Step-by-step explanation:
Geometry TEST #5 Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? x a. SAS only b. AAS only c. Either SAS or AAS d. neither
Answer
ANGLE SIDE SIDE
Step-by-step explanation: Because you have an angle side side hope this helps
10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?
the second one is correct
What is 0.82 as a fraction in simplest form?
(I also need the work if not its ok!)
Answer:
f 41/50
Step-by-step explanation:
