Answer:
x= 1 ±√21/3
x= 2.52753
x= - 0.527525
Step-by-step explanation:
-(-6) ±√-6² - 4 (3) (-4) / 2(3)
6±√36 -(-48) / 6
6±√84/6
6±2√21/6
6/6 ±2√21/6
1±√21/3
1+ √21/3 = 2.52753
1-√21/3= - 0.527525
Step-by-step explanation:
[tex]3x ^{2} - 6x - 4 = 0[/tex]
[tex]by \: quadratic \: formula[/tex]
[tex](-b±√(b²-4ac))/(2a) [/tex]
[tex] - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) [/tex]
[tex](6±√(36 + 48)/(6) [/tex]
[tex](6±√(84)/(6) [/tex]
[tex](6±2√21)/6[/tex]
[tex]2(3±√21)/6 [/tex]
[tex]3±√21/3[/tex]
[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: .[/tex]
[tex]3 + \sqrt{21} /3[/tex]
[tex]3 + 4.58/3[/tex]
[tex]7.48/3[/tex]
[tex]2.52[/tex]
[tex]and \: second \: root \: = 3 - \sqrt{21} /3[/tex]
[tex]3 - 4.58/3[/tex]
[tex] - 1.58/3[/tex]
[tex] - 0.52[/tex]
[tex]so \ \: alpha = 2.52 \: and \: \beta = - 0.52[/tex]
Mrs. Kemp began school year with 20 students in her kindergarten class, She had 23 students at the end of the year. What was the percent of increase in the number of students from the beginning of the year to the end of the year?
Answer:
15%
Step-by-step explanation:
Since 23 is 115% of 20, we can therefore know that it's 15% increase from 20.
A
Question 14
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then 50 25 for each additional pound. Which expression ropresents the amount he earns for recycling p pounds of newspaper if p > 10?
5+0.25 (p-10)
(5 +0.25) P
5 +0.25p
5 (10) +0.25p
B
С
D
Complete Question
Question 14
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represents the amount he earns for recycling p pounds of newspaper if p > 10?
a. 5+0.25 (p-10)
b. (5 +0.25) P
c. 5 +0.25p
d.5 (10) +0.25p
Answer:
5 (10) +0.25p
Step-by-step explanation:
Let the number of additional pounds = x
Hence:
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound.
The statement above is represented as:
$5 × 10 + $0.25 ×p
= 5(10) + 0.25(p)
Therefore, the expression that represents the amount he earns for recycling p pounds of newspaper if p > 10 is written as
5(10) + 0.25(p)
Option d is the correct option
The area of a soccer field is 56 square yards. The length of one side of the field is 8 yards. What is the width of the field?
Answer:
7
Step-by-step explanation:
you divide 56 by 8 and you get 7
Width of the field is 7 yards
Given that;
Area of soccer field = 56 square yard
Length of one side = 8 yards
Find:
Width of the field
Computation:
Area of soccer field = Area of rectangle
So,
Area of soccer field = [Length of one side][Width of the field]
56 = [8][Width of the field]
Width of the field = 56 / 8
Width of the field = 7 yards
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what's the product of 7/8 and 9/12
Answer:
21/32
Step-by-step explanation:
The solution is, the product of 7/8 and 9/12 is 21/32.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
7/8 and 9/12
we have to find the product .
i.e. we have to multiply 7/8 and 9/12
so, we get,
7/8 × 9/12
= 7/8 × 3/4
= 7×3 / 8×4
=21 / 32
Hence, The solution is, the product of 7/8 and 9/12 is 21/32.
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find the missing value and please show how
Answer:
Step-by-step explanation:
∠YUV = 29 + 62 {Exterior angle property}
= 91
Exterior angle property : Exterior angle equal the sum of opposite interior angles.
-4 (x +3) = 8 can somebody help me
Answer:
x= -5
Step-by-step explanation:
-4 (x +3) = 8
-4x - 12 = 8
-4x = 20
x= -5
Write the corresponding sides ad equal ratios
what is the answer for 0.2/n = 0.4/0.6
Answer:
n=0.3
Step-by-step explanation:
divide the numbers
0.2/n=0.4/0.6
0.2/n=.066666
then you multiply by the same dominator to both sides
n*.02/n=n*.066666
Cancel multiplied terms that are in the denominator
0 . 2 =
Answer:
N equals 0.3
Step-by-step explanation:
I just know
Select the correct answer from each drop-down menu.
157
The expression above can also be written in the form ac.
Answer:
For this expression:
a=15 , b=7 and c=4
Step-by-step explanation:
We are asked to find the value of a,b and c by representing the given expression:
in the form of:
where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.
We know that the expression of the type:
is also written as:
Hence, we get our expression as:
Hence, we have:
a=15, b=7 and c=4
a=15 , b=7 and c=4
Step-by-step explanation:
Just had this on a test!
Answer: a=15 b=7 c=4
Step-by-step explanation:
Good
What is the range of this data set?
1.9, 15.5, 1.3, 16.5, 5.5, 20.2, 12.1, 9.6, 16.8
14.9
16.3
18.9
20.2
Write the sum of 8n2 – 3n+ 10 and 3n2 – 6n – 7 in
standard form.
Answer:
Are these to seperate questions? I swear I will give you the answers just want to know, so I can give you the right answer :)
In the year 2002, a company made $3.3 million in profit. For each consecutive year after that, their profit increased by 5%. How much would the company's profit be in the year 2006, to the nearest tenth of a million dollars?
Answer:
The profit would be 7.7 million in 2007
Step-by-step explanation:
Find the indicated angle measure.
Find mZFEH
F
G
35
40°
H
E
Answer:
E
Step-by-step explanation:
HURRY PLEASE HELP Caitlin wants to collect toys to donate to a local shelter. Her goal is to collect at least 300 toys. On Monday she collects 40 toys. On Tuesday she collects twice as many as on Monday. On Wednesday she collects three times as many as Monday. Which inequality represents the total number of toys Caitlin must collect on Thursday, x, to reach or exceed her goal of 300 toys?
Answer:
300 ≥ 40 + 80 + 120 + x
x ≥ 60
Step-by-step explanation:
Monday = 40 toys
Tuesday = 2(40) = 80 toys
Wednesday = 3(40) = 120 toys
Thursday = x toys
At least means ≥
300 ≥ 40 + 80 + 120 + x
300 ≥ 240 + x
300 - 240 ≥ x
60 ≥ x
x ≥ 60
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
ok, so, since the angles in a traingle all sum up to 180°, that would make:
36°+61°+(4x-17)°=180°
We simplify it:
95°+(4x-17)°=180°
Then, we subtract 95° on both sides:
95°+(4x-17)°=180°
-95° -95°
Then we get:
4x-17°=85
We add 17° on both sides
4x-17°=85
+17° +17°
And we get:
4x=102°
Divide 4 on both sides...
4x=102°
➗4 ➗4
Therefor:
X=25.5
Hope this helps, but tell me if i'm wrong, and have a good day!
PLEASE HELP ASAP THANKS
A right triangle has a side length of 8, 15 and x, where x is its longest side. What must be the value of x?
Group of answer choices
17
19
18
Answer:
17Step-by-step explanation:
We can find the longest side I.e. Hypotenuse using pythogorean theorem.
[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]
This is your answer hope it helps :)
Answer:
17?
Step-by-step explanation:
a squared + b squared = c squared (hypothenuse longest side)
square them, then add them and square root them.
The Dodgers beat the Mets by 3 runs. There was a total of 19 runs scored in the
game. How many runs did each team score?
Dodgers:
Mets:
Answer:
The Mets had 8, and the Dodgers had 11
Step-by-step explanation:
8 + 11 = 19
11 is 3 more than 19
Answer:
Dodgers 11 - Mets 8
Step-by-step explanation:
The Dodgers hit a couple homers probably,
Mets hit runs that are equal to 2 grand slams,
Dodgers 11
Mets 8
What’s the value of Y?
What’s the measure of angle A?
What is the measure of arc DAB
Answer:
1. 9
2. 9
3. 101
Step-by-step explanation:
hope it helps:)
What is the equation of the line that passes through the point (-6,4)
and has a slope of -5/6
Answer:
y = -5/6x -1
Step-by-step explanation:
y-4 = -5/6(x+6)
y = -5/6x -5 + 4
y = -5/6x -1
Nicky is trying to drink 2.5 liters of water a day. She drank 0.878 liters after breakfast,
1.2 liters after lunch, and 0.75 liters before dinner. How much did she drink
all together?
Answer:
2.8 liters
She drank 2.8 liters all together.
Step-by-step explanation:
0.878+1.2+0.75= 2.8
Nicky drank a total of 2.828 liters of water throughout the day.
To find out how much water Nicky drank altogether, you can add up the amounts of water she drank throughout the day.
0.878 liters after breakfast.
1.2 liters after lunch.
0.75 liters before dinner
Adding these values together:
0.878 + 1.2 + 0.75 = 2.828
Therefore, Nicky drank a total of 2.828 liters of water throughout the day.
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plz help if its to small press on the image and zoom in
Answer:
1. 5 in squared
2. 7 cm squared
3. 12 ft squared
4. 12 m squared
5. 24 yd squared
6. 15 mi squared.
Step-by-step explanation:
Hope this helps. You can search up how to find area too! Like how to find area of square or triangle or trapezoid!
M∠QPS=88 ∘ m, angle, Q, P, S, equals, 88, degrees \qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘ m, angle, R, P, S, equals, 5, x, plus, 34, degrees \qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘
The correct question is:
[tex]\angle QPS=88[/tex]
[tex]\angle RPS=5x+34[/tex]
[tex]\angle QPR=8x+15[/tex].
Find ∠QPR.
Answer:
[tex]\angle QPR = 39[/tex]
Step-by-step explanation:
From the attached figure:
[tex]QPS = QPR + RPS[/tex]
This gives:
[tex]88 = 8x + 15 + 5x + 34[/tex]
Collect like terms
[tex]88 - 15 - 34 = 8x + 5x[/tex]
[tex]39 = 13x[/tex]
Divide both sides by 13
[tex]3 = x[/tex]
[tex]x =3[/tex]
Substitute [tex]x =3[/tex] in [tex]\angle QPR=8x+15[/tex]
[tex]\angle QPR = 8 * 3 + 15[/tex]
[tex]\angle QPR = 24 + 15[/tex]
[tex]\angle QPR = 39[/tex]
Answer:
The right answer is 49, I did it on khan academy
Step-by-step explanation:
How much is a 20% tip on a meal that cost $42.50
Answer: 8.5
Step-by-step explanation:
20%= 0.20
0.20*$42.50=8.5 (tip worth)
$42.50+$8.5= $51 (final price including tip)
Hope this helped :)
Please help as soon as possible!!!! Please explain your answer if possible!
Answer:
The answer is A.
Step-by-step explanation:
First, you have to solve the inequality :
[tex]4 - 3x < - 2[/tex]
[tex] - 3x < - 2 - 4[/tex]
[tex] - 3x < - 6[/tex]
[tex]x > - 6 \div - 3[/tex]
[tex]x > 2[/tex]
Therefore, x > 2, so only option A is suitable for the x values.
please help i’ll give brainliest if you help thanks
Answer:
5
Step-by-step explanation:
as the 2nd term is b, and the coeffiecnt is the number next to the term
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction unit. How many \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?
Answer:
108 cubes
Step-by-step explanation:
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 . How many 1/3 unit cubes does it take to fill the prism?
Step 1
We find the volume of the cubes
Side length = 1/3 units
Volume of a cube = Side length ³
Hence,
(1/3 units)³ = 1/27 cubic units
Step 2
A rectangular prism with a volume of 4 cubic units.
The number of 1/3 unit cubes that would fill this rectangular mrism is calculated as:
4 cubic units ÷ 1/27 cubic units
= 4 ÷ 1/27
= 4 × 27/1
= 108 cubes
A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?
Answer:
33.33 feet
Step-by-step explanation:
First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33
Please help! would appreciate it
Answer:
Step-by-step explanation:
here is what I got but I hope it helps :)
helpppppppppppp meeeee plssss lpereira25
Answer:
1. Reflect across the y-axcis:
1) (-1,-5)
2) (0,-3)
3) (-2,0)
4) (-4,-2)
________________________
2. Reflect across the x-axis:
1) (0,0)
2) (1,-4)
3) (2,-4)
4) (4,0)
Do u wanna join
my
zoom
because its much better to tell/show u the answers...?
Express 100cm:5m to it's lowest terms
Answer:
1:5cm
Step-by-step explanation:
convert 5m to cm which is 500cm and then simplify which us 1:5cm
Answer:
1:5cm
Step-by-step explanation: