The roots of the given quadratic equation are x = -2/3 and x = -2.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is a quadratic equation as follows -
3x² + 7 = - 8x + 3
The given quadratic equations are -
3x² + 7 = - 8x + 3
3x² + 8x = 3 - 7
3x² + 8x + 4 = 0
(x + 2/3)(x + 2) = 0
(x + 2/3) = 0 and (x + 2) = 0
x = -2/3 and x = -2
Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.
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Two has 4 2/3 pitches of juice. One glass holds 1/6 of a pitcher. How many glasses can teo fill?
Teo can fill 28 glasses in 4 2/3 pitches of juice.
Teo has 4 2/3 pitches of juice.
First we write the improper fraction (mixed fraction) as a proper fraction.
4 2/3
= [(4 × 3) + 2] / 3
= (12 + 2) / 3
= 14/3
One glass holds 1/6 of a pitcher.
Let m number of glasses hold 14/3 pitches of juice.
By unitary method,
m × (1/6) = 14/3
To find the value of m we need to divide fractions.
m = (14/3) / (1/6)
m = (14/3) × (6/1)
m = 14 × 2
m = 28
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Name the property that is shown by each equation.
A. 6a + 4 = 4 + 6a
B. 30 + 60 = 15(2 + 4)
C. 3(8x + 4) = 3(4 + 8x)
D. 4(6a) = (4 · 6)a
A. Commutative property of addition
B. Distributive property
C. Commutative property of addition
D. Associative property of multiplication
What is the mzb?
34°
76°
bº
Answer:
b^=118
the mzb is 42 we add each numbers by 42
solve for b; 5ba - x = y
Answer and Step-by-step explanation:
First, add x to both sides.
5ba = x + y
Now, divide both sides by 5a.
[tex]b = \frac{x+ y}{5a}[/tex] is the answer.
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Which expression can represent 4 less than the quotient of 192 and 3?
A (192 x 3) - 4
B (192 ÷ 3) - 4
C 4 - (192 x 3)
D 4 - (192 ÷ 3)
Answer: B
Step-by-step explanation:
Because if you were finding the quotient, you would divide, then subtract 4.
Evaluate the expression 2a+3d
Answer:
Step-by-step explanation:
Nothing further can be done with this topic
So, your answer would have to be 2a+3d
The difference between two numbers is 10. The smaller number is 8.
Which of the following is the equation of the statement above?
10 - x = 8
x + 8 = 10
x - 8 = 10
8 - x = 10
Answer:
x - 8 = 10
Step-by-step explanation:
The smallest number is 8 so it's subtracting 8. 10 is the difference between the two numbers because it's the answer.
What is the formula of perimeter Class 6?
The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.
The formula is:
Perimeter = (the distance all the way around the outside of the figure).
How to calculate the distance all the way around the outside of the figure
is different for every shape.
A few of them are:
The perimeter of a Square, (P) = 4 × Side units.
The perimeter of a Rectangle, (P) = 2(l + b) units.
The perimeter of a Triangle is = Sum of all three sides.
The perimeter of a Circle = 2 π r = π d.
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On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $788.50. How many children and how many adults swam at the public pool that day?
The number of adults at the public pool that day is 284 and the number of children is 147.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Let x be the number of adults and y be the number of children who used the swimming pool.
Total number of people used the swimming pool = 431
x + y = 431
Daily price for adults = $2.00
Daily price for children = $1.50
Total amount for admission = $788.50
2x + 1.5y = 788.5
We got two linear equations here :
x + y = 431 and 2x + 1.5y = 788.5
x + y = 431 ⇒ x = 431 - y
Substituting this in second equation,
2(431 - y) + 1.5y = 788.5
862 - 2y + 1.5y = 788.5
-0.5y = -73.5
y = 147
x = 431 - 147 = 284
Hence the number of adults is 284 and the number of children is 147.
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A store marks up a laptop 150% from its original price of $399. There is a sale for 25% off all items in the store. What is the sale price for the computer
Answer:
multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
then you will subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
= $336. 38(round off)
Tysm i’ll never forgot you loll!!!! Now all i need is ONE more and that’s it:)
Answer:
See below.
Step-by-step explanation:
f(x) = x² - 2x - 8 (Graph 3)
g(x) = (x + 3)(x - 1) (Graph 2)
h(x) = 2(x + 6)² + 2 (Graph 1)
The area of a parcel of land can be represented by the expression 9x2 - 6x + 10. The parcel must be divided into 3 equal parts. What is an expression that represents the area of each part?
A) 3x2 - 2x + 3 1 3
B) 9x2 - 6x + 13
C) 9x6 - 6x3 + 10
D) 27x2 - 18x + 30
can someone please help me
Answer:
58
Step-by-step explanation:
rurjrjirudhdbbxhxiidiejr
Item 4
What value of a makes the equation true?
1.7a+0.3a=45
a=−115
a=25
a=135
a=245
Answer:
a = 22.5
Step-by-step explanation:
1.7a+0.3a=45
Add like terms
2a = 45
Divide by 2
2a/2 = 45/2
a = 22.5
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[tex]\maltese[/tex]1.7a+0.3a=45
[tex]{\huge\fbox\blue{A}\fbox\purple{n}\fbox\green{S}\fbox\red{w}\fbox\orange{E}\fbox{r}}[/tex]
[tex]\bold{1.7a+0.3a=45 }[/tex] [tex]\bold{(1.7+0.3)a=45 }[/tex] [tex]\bold{ 2a=45 }[/tex] [tex]\bold{a=\dfrac{45}{2} }[/tex] [tex]\blue{a=22.5 }[/tex]Using the least common denominator rename 3/5 and 11/20?
Answer:
12/20 and 11/20.
Step-by-step explanation:
The least common denominator between 3/5 and 11/20 is 20.
For the first equation, we multiple the numerator and denominator by 4 and we get 12/20.
The second equation already has a denominator of 11/20 so we can leave it as is.
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?
Answer:
1/2
Step-by-step explanation:
simlified would be 1/2
Is 8:2 greater than 5:1?
I need someone to help me clarify if this is correct. Thanks.
Answer:
No, 8:2 = 4:1 which is less than 5:1
Step-by-step explanation:
Answer:
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[tex]8 : 2 \\ = \frac{8}{2} \\ = 4[/tex]
[tex]5 : 1 \\ = \frac{5}{1} \\ = 5[/tex]
8 : 2 = 4, while 5 : 1 = 5.
4 < 5.
•°• 8 : 2 is not greater than 5 : 1.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
3x2 – 7x 7x = 4x – 8
Answer:
x =−1−√93/23,−1+√93/23
Step-by-step explanation:
x=0.37581090…,−0.46276742...
hey guys can anyone help me!.
Answer:
m=4
Step-by-step explanation:
Answer:
m = 4
Step-by-step explanation:
The shape on the right is 2/3 times smaller than the shape on the left.
This means multiplying the side lengths of the shape on the left by 2/3 will give you the side lengths of the shape on the right.
Take a look.
[tex]9 * \frac{2}{3} = 18/3 = 6[/tex]
[tex]6 *\frac{2}{3} = 12/3 = 4[/tex]
Therefore, the value of the missing side length, m, is 4.
Shawn keeps his photos in a box like the one shown.
What is the volume of the box?
Answer:
288 in.
Step-by-step explanation:
when it comes to finding the volume of a box you just multiply the width, length and height and you will get the volume
6 in. x 12 in. x 4 in. = 288 in.
Graph the line that passes through the points (9, -1) and (6, 1) and determine the equation of the line.
The equation of the line will be y = -2/3x + 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line passes through points (9, -1) and (6, 1).
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 1 - (-1) / ( 6 - 9 )
Sloe = - 2 / 3
The y-intercept will be calculated as,
y = mx + c
-1 = (-2/3) x 9 + c
c = 5
The equation of the line,
y = mx + c
y = -2/3x + 5
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hello please help i’ll give brainliest
What percent students have height between 62 inches and 64 inch
Answer:The following list of data represents highway fuel consumption in miles per gallon. (mpg) for Hint: you will need to calculate the midpoint for each class. Age (yrs) C. What percentage of women are between 62.5 inches and 67.5 inches? 65. 68 ... If the top 15% of the students get A's, what is the cut-off score for an A? 75.
Step-by-step explanation:
sorry if this is wrong
Percent students having height between 62 & 64 inches, is 25%
As per the linear presentation, data is spread evenly between 58 to 66 inches.
The total 100% students are divided evenly in 8 segments, from 58 - 59 inches to 65 - 66 inches. So each segment has 100 / 8 = 12.5%
Hence, percentage students having 62 to 64 inches has 2 unit segments. They are 12.5 x 2 = 25% students.
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What is the area of the base in the figure below? A cylinder with height 12 and diameter 6. 9 square units 9 pi square units 72 square units 72 pi square units
Answer:
Area of circle = 9π square unit
Step-by-step explanation:
Given:
Height of cylinder = 12 units
Base diameter of cylinder = 6 units
Find:
Area of base
Computation:
Base Radius of cylinder = Base diameter of cylinder / 2
Base Radius of cylinder = 6 / 2
Base Radius of cylinder = 3 unit
Area of circle = πr²
Area of circle = (π)(3)²
Area of circle = 9π square unit
Answer:
Option B, 9 pi square units.
Step-by-step explanation:
If you flip a coin ten times, how many different sequences of heads and tails are possible? a. b. c. d.
The number of possible different sequences of heads and tails is 1024.
A list of numbers (or other components) that follow a specific pattern is called a sequence. An arithmetic progression is one of the common examples of sequence and series.
A sequence can be arranged in either ascending or descending order.
Each flip has two outcomes H or T, so in ten flips you can get a sequence like HTHHTHTTTH
The number of possible different sequences is simply 2*2*2*2*2*2*2*2*2*2 = 2^10 = 1024
Thus, The number of possible different sequences of heads and tails is 1024.
Complete question:
If you flip a coin ten times, how many different sequences of heads and tails are possible?
a. 2° = 512
b. 10 = 100
C. 102 = 1024
d. 210 = 1024
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Simplify all the equations, then we have
A. 2 + x = 5, to simplify the equation, then we have
2 + x = 5
x = 3
B. x + 1 = 4, to simplify the equation, then we have
x + 1 = 4
x = 3
C. 9 + x = 6, to simplify the equation, then we have
9 + x = 6
x = - 3
D. x + (- 4) = 7, to simplify the equation, then we have
x - 4 = 7
x = 11
E. - 5 + x = - 2, to simplify the equation, then we have
- 5 + x = - 2
x = 3
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
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Write (-6,3) (4,-3) in slope intercept form
Answer:
y=-3/5x-3/5
Step-by-step explanation:
I started off by finding the slope by using the slope formula. then i plugged in one of the ordered pairs into thr slope intercept form to find the value of b.
F
E
58>D
C
128
B
128
Answer:
What is the question???
Step-by-step explanation:
Between which two positive integers does V33 lie?
Answer:
0-1 Integers are whole numbers
Step-by-step explanation:
How do you know if a triangle is a 45 45 90 triangle?
The two side lengths are congruent, and their opposite angles are congruent, and the hypotenuse is the length of either leg times the square root of two, √2.
A 45° 45° 90° triangle is a special type of isosceles right triangle where the two legs are congruent to one another and the non-right angles are both equal to 45 degrees.
A 45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2.
properties of 45°-45°-90°:
It's the only possible right triangle that is also an isosceles triangle, and it has the smallest ratio of the hypotenuse to the sum of the legs.It has the greatest ratio of the altitude from the hypotenuse to the sum of the legs.To know more about 45° 45° 90° triangle:
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