Answer:
-b+or-
[tex] - b - + \sqrt{a {}^{2} - 4ac } \div 2a[/tex]
Nearly x=-1.416
Or x=-0.416
Answer:
x=-1/3 or x = -3/2
Step-by-step explanation:
6x²+11x+3=0
divide through by 6
x² +11x/6 + 3/6 =0
collect like terms that is those with x should be left on one side nd the one without x should be on the other side
x² +11x/6 = -1/2
add the square of the half of the co efficient of B i.e 11x/6 to both sides
(x+11/12)² = 121/144 -1/2
(x+11/12)² = 121-72/144
square root of both sides
x+11/12 =+or - √49/144
x= -11/12 ± 7/12
x= -1/3 or x= -3/2
What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45? A)2,213,360 B)2,313,360 C)2,413,360 D)2,513,360
Answer:
28.27530
Step-by-step explanation:
Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction
62.834 = 62834/1000
0.45 = 45/100
Take the product if the resulting fraction:
62.834 × 0.45 = 62834/1000 × 45/100
= (62834×45)/1000×100
= 2,827,530/100,000
= 28.27530
Answer:28.27530
Step-by-step explanation:Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction
62.834 = 62834/1000
0.45 = 45/100
Take the product if the resulting fraction:
62.834 × 0.45 = 62834/1000 × 45/100
= (62834×45)/1000×100
= 2,827,530/100,000
= 28.27530
Find the difference between 976 and 1.235.
Answer:
-974.765
Step-by-step explanation:
1.235 -976. Try to get a calculator if that helps!:)
Write the following absolute value function as a
piecewise function.
f(x) = 3x – 6
Answer:+c
Step-by-step explanation:
x^2 • x^7 simplify and solve
Answer:
[tex] x^9[/tex]
Step-by-step explanation:
[tex] \huge {x}^{2} . {x}^{7} = {x}^{2 + 7} = {x}^{9} \\ [/tex]
1. What digit is in the tenths place when 12.03 is
multiplied by .74?
Answer:
9
Step-by-step explanation:
12.03 x 0.74=8.9022
the first number after the decimal is the tenths place, the second is the hundreths, the third is the thousandths. Excuse my spelling Im 13.
The segment addition postulate states that if point C is between points A and B, then... ANSWER ASAP
Answer & Step-by-step explanation:
The Segment Addition Postulate states that AB + BC = AC when C is between A and B.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)The segment addition postulate states that if point C is between points A and B then the segment AB will be equal to the sum of AC and CB.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that the segment addition postulate states that if point C is between points A and B.
The expression for the line segment can be formed mathematically as below:-
AB = AC + CB
From the above equation, it is observed that the sum of the segment AC and CB will be equal to AB.
Therefore, according to the segment addition postulate, segment AB will equal the sum of the segments AC and CB if point C is located between points A and B.
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A sold-out concert hall seats 2,042 people. An hour before the show starts, the ushers count 693 people already seated. For the next thirty minutes, ushers count 1,028 more people entering the concert hall. Use compatible numbers to estimate the number of people that have not yet arrived. A.about 300 B.about 200 C.about 400 D.about 500
Answer:
i would say A.
Step-by-step explanation:
because 1028 + 693 = 1721 then you would do 2042 - 1721 and that would be 321.
A group of friends are playing a board game. As part of the game, each player is given the same number of cards. There are 6 players and 58 cards. How many cards will each player get if each player gets the same number of cards?
Answer: Each player will get 9 cards
Step-by-step explanation:
Given, there are 6 players and 58 cards.
i.e. Total players = 6 and total cards = 58
If each player is given the same number of cards, then by the division operation the number of cards each player will get = ( total cards) ÷ ( total players)
[tex]=58\div6[/tex]
[tex]=9\dfrac{2}{6}[/tex]
Hence, each player will get 9 cards ( 2cards will be left).
Factorise x 3 - 2 3 x 2 + 142x - 120????
Answer:
[tex](x - 1)(x - 12)(x - 10)[/tex]
Step-by-step explanation:
Given
Factorize:
[tex]x^3 - 23x^2 + 142x - 120[/tex]
Required
Factorize
We start by checking for the factors of the given polynomial;
Check x - 1 = 0;
This implies that x = 1
Substitute 1 for x in [tex]x^3 - 23x^2 + 142x - 120[/tex]
[tex](1)^3 - 23(1)^2 + 142(1) - 120[/tex]
[tex]= 1 - 23 + 142 - 120[/tex]
[tex]= 0[/tex]
Since the result is 0, then x - 1 = 0 is a factor
Divide the polynomial by x - 1
(See attachment for long division)
The result is: [tex]x^2 - 22x + 120[/tex]
Hence, the factor is
[tex](x - 1)(x^2 - 22x + 120)[/tex]
Expand the quadratic function
[tex](x - 1)(x^2 - 12x - 10x + 120)[/tex]
Factorize
[tex](x - 1)(x(x - 12) - 10(x - 12))[/tex]
[tex](x - 1)(x - 12)(x - 10)[/tex]
Hence;
Factorizing [tex]x^3 - 23x^2 + 142x - 120[/tex] gives [tex](x - 1)(x - 12)(x - 10)[/tex]
Deena took six final exams and received these scores:
65, 72, 79, 86, 93, 100.
Fill in the table, assuming the scores are given in the
same order she took the exams.
Replace a with
Replace b with
Replace c with
Replace d with
Answer:
a: 5
b: 79
c: 93
d: 100
Step-by-step explanation:
Answer:
The person above me is correct <3
Step-by-step explanation:
please help me on this geometry!! i’ll mark you the brainliest
Answer:
Median
Step-by-step explanation:
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
Hope this helps! Please tell me if I did anything wrong, thank you and have a great day!
A parabola intersects the x-axis at x=3 and x=9.
What is the x-coordinate of the parabola's vertex?
Answer:
6
Step-by-step explanation:
If the graph intersects the x-axis, then there is an x-intercept at that point. So, we know that 3 and 9 are the x-intercepts of the parabola.
Parabolas can only have 0, 1, or 2, x intercepts. The x coordinate of the vertex will be the average of the x coordinates of the x-intercepts, since the vertex will be in the middle of the 2 x intercept points.
Take the average of 3 and 9:
(3 + 9) / 2
12 / 2
= 6
The x coordinate of the vertex is 6.
Solve the compound inequality. Graph the solution.
-2 <= 2x - 4 < 4
A. 0<= x < - 2
B. 1 <= x < 4
C. 1 <= x < 0
D. 3 <= x < 6
Answer:
1 ≤ x < 4
Step-by-step explanation:
-2≤ 2x - 4 < 4
Add 4 to each side
-2+4 ≤ 2x - 4+4 < 4+4
2 ≤ 2x < 8
Divide each side by 2
2/2 ≤ 2x/2 < 8/2
1 ≤ x < 4
Answer:
a.0<=x<-2
Step-by-step explanation:
Complete the magic square using nos 1 to 15 without repeating the nos so that the sum of each row, diagonal, and column is 30.
Answer:
refer the attachment......
Step-by-step explanation:
hope this works
(20pts) Please help! Sometimes, always, or never true. Prove why
Answer:
Step-by-step explanation:
[tex]LHS = \frac{1}{m^{2}}-\frac{1}{m^{2}+1}\\\\\\=\frac{1*(m^{2}+1)}{m^{2}*(m^{2}+1)}-\frac{1*m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{m^{2}+1- m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{1}{(m^{2}+1)m^{2}}=RHS[/tex]
You did some grocery shopping for your mom. She gave you a $10 bill and a list for oranges for $1.50, milk for $2.00, pasta for $3.25, and juice for $1. How much change will you get back?
Answer:
You would get 2.25 back.
Step-by-step explanation:
1.50 + 2.00 + 3.25 + 1 = 7.75 Dollars
10 - 7.75 = 2.25
What are the factors of x2 – 100?
m44b
4. In little league baseball, the distance of the paths between each pair of consecutive bases is 60 feet
and the paths form right angles. How far does the ball need to travel if it is thrown from home plate
directly to second base?
Answer:
84.85 feet or 60[tex]\sqrt2[/tex] feet.
Step-by-step explanation:
Given that:
Distance of paths between each pair of consecutive bases is 60 ft.
To find:
Distance that the ball needs to travel if it is thrown directly from home plate to second base?
Solution:
Actually the given problem can be mapped to a right angled triangle in which base and height are given to be equal to 60 ft (because each pair of consecutive bases are 60 ft apart), Plus, they are at right angles to each other.
So, kindly refer to the image attached.
AB and BC are the distance of paths between consecutive bases.
And we have to find AC.
We can use Pythagorean theorem to find out the Hypotenuse of the triangle.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AC^{2} = AB^{2} + BC^{2} \\\Rightarrow AC^{2} = 60^{2} + 60^{2} \\\Rightarrow AC = \sqrt{2 \times 60^2}\\\Rightarrow AC = \bold{60\sqrt{2}\ ft = 84.85\ ft}[/tex]
In a survey of 120 adult , 88 drink cold drink and 26 drink soft drink. If 17 of them drink neither of them, findout the number of adults who drink both soft and cold drink by
using venndiagram.
Answer:
11 people is correct
Step-by-step explanation:
h(x)=x•2+1 k(x)=x-2
(H+k)(2)
Is it a true or false? If yes, the answer is false
If u have to solve the answer will be hx=x.2+kx=x-hk2
1) Maya needs 54 cubic feet of soil for her garden. She already has 4.5 cubic feet of
soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should Maya
purchase?
1) 36
2) 12
3)33
4)9
Answer:
3) 33 bags
Step-by-step explanation:
she needs 54, but already has 4.5 cubic feet of soil, so really, Maya only needs 49.5 cubic feet of soil.
If each bag contains 1.5 cubic feet of soil, 49.5 feet needed /1.5 feet per bag = 33 bags.
Which of the following factored forms given below represent the correct factorization of the trinomial x^2 + 10x + 16
1. 2 (x + 4) (x + 2)
2. (2 + x ) ( 8 + x)
3. ( 4 + x ) ( 4 + x )
4. ( x - 2 ) ( x - 8 )
Answer:
2. (2 + x ) ( 8 + x)
Step-by-step explanation:
x^2 + 10x + 16
Factor
What two numbers multiply to 16 and add to 10
8*2 = 16
8+2 = 10
(x+8)(x+2)
In her last four basketball games, Alexi has scored 12, 14, 26, and 40 points. If the pattern continues, how many points will Alexi score in her next game? 64 66 62 60
Answer:
66
Step-by-step explanation:
12+14=26
26+40=66
What are the first three terms of the Arithmetic Sequence a_n = 15 – 2(n – 1)?
What is the equation of a line that passes through the point?
=====================================================
Explanation:
The given graph passes through (0,2) and (2,5)
The slope of this line is
m = (y2 - y1)/(x2 - x1)
m = (5-2)/(2-0)
m = 3/2
Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.
Any parallel line will have the same slope, but a different y intercept.
-------------------
The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b
y = mx+b
2 = (3/2)(3)+b
2 = 9/2+b
2-9/2 = b
4/2 - 9/2 = b
-5/2 = b
b = -5/2 ... is the new y intercept
The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form
-------------------
Let's convert to standard form
y = (3/2)x-5/2
2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions
2y+5 = 3x
3x = 2y+5
3x-2y = 5 ... is the equation in standard form of the parallel line
-------------------
As a check, we can plug (x,y) = (3,2) into that last equation above to get
3x-2y = 5
3*3-2*2 = 5 ... replace x with 3, replace y with 2
9-4 = 5
5 = 5
Confirming that (x,y) = (3,2) is on the line.
A horizontal line has points A, B, E, F. A line extends up and to the right from B to point C. A line extends horizontally from point C to point D. A line extends slightly to the left and down from point D to point E. Angle A B C is (3 x) degrees and angle D E F is (2 x) degrees. What is the measure of AngleCBE? 36° 72° 108° 144°
Answer:
The answer is 72 degrees
Step-by-step explanation:
I hope this helps, leave a heart and rating plz!!?:)
The correct option is 72°. The measure of angle CBE is 72° by using the data angle ABC is (3 x) degrees and angle DEF is (2 x) degrees.
To determine the measure of angle CBE, we need to analyze the given information. We are provided with the angles ABC and DEF, where angle ABC is represented by 3x degrees and angle DEF is represented by 2x degrees.
From the description, we can see that angle CBE is formed by the combination of angles ABC and DEF. The angle ABC is adjacent to angle CBE at point B, and the angle DEF is adjacent to angle CBE at point E.
To find the measure of angle CBE, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Since angle ABC and angle D E F are adjacent to angle CBE and form a straight line, they are supplementary angles. Therefore, the sum of angle ABC and angle DEF is 180 degrees.
We can set up the equation:
3x + 2x = 180°
Combining like terms, we get:
5x = 180°
To solve for x, we divide both sides of the equation by 5:
x = 36°
Now that we know the value of x, we can find the measure of angle CBE by substituting x into the expression for angle DEF:
2x = 2 * 36 = 72 degrees
Therefore, the measure of angle CBE is 72 degrees.
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What categories does 0.972 belong to? Click all that apply. Real Rational Integer Whole Natural
Answer:
0.972 is a rational real number.
Step-by-step explanation:
A rational number is defined as the number that can be expressed from the result of a fraction.
1/4 = 0.25
An integer number is all those that do not have a decimal part.
(-∞ ..., -3, -2, -1, 0, 1, 2, 3, ... ∞)
Natural numbers are all those positive numbers starting from 0 to infinity.
N = (0, 1, 2, 3, 4, 5, ... ∞)
Brent bought a reel of thread that is 15.25 metres long. Brent uses 575 centimetres for a project. How much thread in centimetres is left on the reel?
Answer:
There would be 950 cm of thread left on the reel
Step-by-step explanation:
Here in this question, we are interested in knowing the amount of thread left on the reel.
To answer this question properly, we shall need to be consistent in using our units.
Thus, we need to convert the length of thread on the reel to cm.
Mathematically;
100cm = 1 m
let x cm = 15.25 m
x = 15.25 * 100 = 1525 m
Since 575 cm has been used for a project, the amount of thread in cm left on the reel will be;
1525 cm - 575 cm = 950 cm
a rectangle parking lot has an area of 1775 square meters and a perimeter of 192 meters what is it dimension
Answer:
71 & 25 m
Step-by-step explanation:
a • b = 1775
2a + 2b = 192
substitution:
a = 1775/b
2(1775/b) + 2b = 192
distribute the 2
(3550/b) + 2b = 192
subtract 192 from both sides
(3550/b) + 2b - 192 = 0
transform the expression by dividing all terms by b
(3550 + 2b² - 192b) / b = 0
when the quotient of expressions equals 0, the numerator has to be 0
3550 + 2b² - 192b = 0
reorder the terms
2b² - 192 b + 3550 = 0
divide by sides by 2
b² - 96b + 1775 = 0
rewrite -96b as a difference using factoring X
b² - 25b - 71b + 1775 = 0
factor the expression (factor out b)
b (b-25) - 71b + 1775
factor out b - 25 from the expression
(b - 25) (b - 71) = 0
if b = 25 or 71, then a = 71 or 25
71 & 25 m
What number do we divide by -2 to get 6?
-12. 2 negatives always make a positive