• 2x²-7x +5 =0
=> 2x²-5x-2x+5 = 0
=> x ( 2x-5)-1(2x-5)=0
=> (x-1)(2x-5) = 0
• x-1=0
=> x= 1
• 2x-5=0
=> x = 5/2.
Now , Verification :
Here , a= 2 ,b= -7 and c = 5
As we know that :
• Sum of zeroes = -b/a
• 5/2+1 = -(-7)/2
• 7/2 = 7/2
LHS = RHS.
• Product of zeroes = c/a
=> 1(5/2)= 5/2
=> 5/2 = 5/2.
LHS = RHS ..
Hence, verified .
I hope it will help you.
Regards.
what is the volume of this sphere
Answer:
2854.54
Step-by-step explanation:
Answer:
2855.69 cube unit.
Step-by-step explanation:
Volume of sphere=4/3 pie r^3
= 4/3 *22/7*8.8^3
= 2855.69 cube unit
3(2x+5)=2(3x+3) solve for x
Answer:
x=(-9)
Step-by-step explanation:
I'm pretty sure
Find three consecutive odd integers such that the sum of the first and the third is 70. Find the integers.
Answer:
33, 35, 37
Step-by-step explanation:
Let the tree consecutive odd integers be x, x +2 and x + 4
According to the given information:
Sum of the first and the third is 70
[tex] \therefore x + x + 4 = 70\\\\
\therefore 2x = 70 - 4\\\\
\therefore 2x = 66\\\\
\therefore x = \frac{66}{2}\\\\
\therefore x = 33\\\\
\implies x + 2 = 33 + 2 = 35\\\\
\& \hspace{25 pt}x + 4 = 33 + 4 = 37\\\\[/tex]
Thus, the three consecutive odd integers are 33, 35 and 37.
Verification: 33 + 37 = 70
Given the triangle XYZ, what is cos Z?
Y
16
30
X
34
Z
Answer:
34
Step-by-step explanation:
What is the sum? Express the answer in scientific notation.
(2.6 x 10⁻⁵)+(9.2 x 10⁻⁵)
11.8 times 10 superscript negative 10
1.18 times 10 Superscript negative 6
11.8 times 10 Superscript negative 5
1.18 times 10 Superscript negative 4
h e l p m e
Answer:
1.18 times 10 Superscript negative 4 YW
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.
State the probability that a randomly selected male is between 68.5 and 71.5 inches tall. Express your answer as a decimal.
A) 0.5
B) 0.38
C) 0.62
D) 0.72
help please correct answers only thank you
Help me please I really need answers fast so I'd really appreciate your help I've been stuck on this since yesterday
Fill in each blank with a reason that justifies the statement. Given: ∠CDE and ∠EDF are supplementary.
Statement Reasons
m∠CDE + m∠EDF = 180° a. Definition of Supplementary Angles
x° + (3x + 60)° = 180° b. _________
4x° + 60° = 180° c. _________
4x° = 120° d. _________
x° = 30° e. _________
Answer:
[tex]x° + (3x + 60)° = 180° \: b. \: \boxed{combine \: like \: terms}
\\ 4x° + 60° = 180° c. \: \boxed{additive \: property \: of \: equality}
\\ 4x° = 120° d. \: \boxed{division \: property \: of \: equality}
\\ x° = 30° e. \: \boxed{division \: property \: of \: equality}[/tex]
Step-by-step explanation:
♨Rage♨
A function F(x) is such that F(-x) = F(x). If F(2) = -5. which of the following points must also be on the graph of F(x)? A. (-2,5) B. (2.5) C. (-2,-5) D. (-5. 2) E. (-5, -2)
Answer:
(-2,-5)
Step-by-step explanation:
Since F(x)=F(-x), F(2)=F(-2)=-5
So, (-2,-5) must be on F(x)
If c is a number with no exponent, what is the value of c in the equation below?
StartFraction 4 Superscript 7 Baseline Over 4 cubed EndFraction = a Superscript b Baseline = c
Answer:
The answer is 256
Step-by-step explanation:
This is the right answer.
If c is a number with no exponent, what is the value of c in the equation below?
StartFraction 4 Superscript 7 Baseline Over 4 cubed EndFraction = a Superscript b Baseline = c
⇒ 256
This is the truth. I got the answer wrong to show you guys the answer.
Have a good day and stay safe!!!!!!!
2020 edgen
Answer:
256!!!
Step-by-step explanation:
3. Jack received $75 for his birthday. He spent $25 on a new baseball glove, S45 on a new pair of shoes, and $5
on digital music
(a) What portion of his birthday money went toward new shoes? Express the value as a simplified
fraction. Then, convert the fraction to a percent Show your work
(b) What portion of his birthday money went toward music? Express the value as a simplified fraction.
Then, convert the fraction to a decimal. Round the decimal to the nearest hundredth or indicate it as
repeating. Show your work
(C) Write the ratio of money Jack spent on music to money Jack spent on shoes. Simplify your answer.
What does the ratio mean? What fraction is equivalent to the ratio?
Answer:
a) What portion of his birthday money went toward new shoes? Express the value as a simplified
fraction. Then, convert the fraction to a percent Show your work
Step-by-step explanation:
a) What portion of his birthday money went toward new shoes? Express the value as a simplified
fraction. Then, convert the fraction to a percent Show your work
which table has a constant of proportionality between Y and X of 1/5?
Answer:
B
Step-by-step explanation:
From the table B has a constant of proportionality between y and x of 1/5.
We need to find which table has a constant of proportionality between y and x of 1/5.
What is constant of proportionality?Constant of proportionality is the constant value of the ratio between two proportional quantities.
The equation for direct proportionality is y = kx, which shows as x increases, y also increases at the same rate.
Now, k=y/x
From table A:
k=4/5 ÷ 2
=2/5
k=14/5 ÷ 7
=2/5
k=24/5 ÷ 12
=2/5
From table B:
k=8/5 ÷ 8
=1/5
k=9/5 ÷ 9
=1/5
k=2/10 =1/5
From table C:
k=16/5 ÷ 3
=16/15
k=26/5 ÷ 5
=26/25
k=36/5 ÷ 7
=36/35
Therefore, from the table B has a constant of proportionality between y and x of 1/5.
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what is the horizontal intercept of 3x+5y=-5
Answer:
(-5/3, 0)
Step-by-step explanation:
The horizontal intercept basically is the x-intercept. To find the x-intercept, substitute in 0 for y and solve for x.
6. Find XY. Any answers
Which equation represents the vertex form of the equation y = x2 + 2x - 6?
Answer:
y=(x+1)^2-7
Step-by-step explanation:
y=x^2+2x-6=x^2+2x+1-7
y=(x^2+2*1*x+1^2)-7
y=(x+1)^2-7
vertex form equation is y=a(x-h)^2+k
of equation y=ax^2+by+c
so a is 1
h is -1 because (x+1)=(x-(-1))
k is -7
What is the slope of the line that passes through the points
(1, -3) and (4, 2)?
Answer:
[tex]m =\frac{5}{3} \\\\m = 1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-\left(-3\right)}{4-1}\\\\m = \frac{2+3}{4-1}\\ \\m =\frac{5}{3} \\\\m = 1\frac{2}{3}[/tex]
you want to frame a collage of picture with a 9ft strip of wood. What dimensions will help you maximize the area?
Answer:
Suppose you want to frame a collage of pictures. You have a 9-ft strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area?
A:
Perimeter = 2(L + W) 9 = 2(L+W) L+W = 4.5 L = 4.5-W Area = LW Area = (4.5-W)W A = 4.5W - W^2 You have a quadratic with a = -1 and b = 4.5 Maximum area occurs when W = -b/(2a) = 4.5/(2*-1) = 2.25
Step-by-step explanation:
Dimension of the picture with 9ft strip of wood is
length = 2.25 ft and width =2.25 ft
Given :
you want to frame a collage of picture with a 9ft strip of wood.
the perimeter of the frame is 9 ft
Perimeter of rectangle = 2(length +width )
Let 'l' be the length and 'w' be the width
[tex]Perimeter =2(l+w)\\9=2(l+w)\\Divide \; by \; 2\\l+w=4.5\\l=4.5-w[/tex]
Now we find the area
[tex]Area = length \cdot width \\Area= l \cdot w\\A= (4.5-w)(w)\\A=-w^2+4.5w[/tex]
Now we find out 'w' where area is maximum
[tex]w=-\frac{b}{2a} \\a=-1 and b=4.5\\w=-\frac{4.5}{2(-1)} =2.25[/tex]
Width =2.25 gives us maximum area
Now find out the length ,
[tex]Length = 4.5 -w\\w=2.25\\Length = 4.5-2.25=2.25[/tex]
Dimension of the picture is length = 2.25 ft and width =2.25 ft
Learn more : brainly.com/question/20977367
What does the "complement of an event" mean? *
All outcomes of the event
The opposite event
The same event
none of above
Answer:
the answer is none of above
Answer:
all out comes that are not the event
so B i think
Step-by-step explanation:
And together the Event and its Complement make all possible outcomes..
Fill in the first blank: ____÷2=_____ Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2): 100% The problem expects a numeric answer (ex: 3.1, 5, 2/3 or 1 2/3). You entered "12/2=6"
Answer:
Are put in both 1st and 2nd blank and simplified.
Step-by-step explanation:
5 ____÷2=_____ 2.5
3.1 ____÷2=_____ 1.55
4 1/2=9/2 ____÷2=_____ 9/4=2.25
3/2 ____÷2=_____ 3/4=0.75
If we put the values in the first blank we get the answer simply by dividing it by 2.
6.2 ____÷2=_____ 3.1
10 ____÷2=_____ 5
4/3 ____÷2=_____ 2/3
10/3____÷2=_____ 1 2/3
If we fill in the blanks with the numbers given as answers we do reverse operation. We multiply the answer with 2 to get the numbers in the first blank.
10____÷2=_____ 5
6.2____÷2=_____3.1
9____÷2=_____4 1/2
3____÷2=_____ 3/2
3 + 2x = -6x + 4
What does x equal?
What are the factors of 6x2+37x−60?
3x−4 and 2x+15
3x+4 and 2x−15
2(x−2) and 3(x+5)
2(x+2) and 3(x−5)
Answer:
3x-4 and 2x+15 is the answer
Step-by-step explanation:
I took the test
(8.25 x 10^2) X (3.65 x 10^7)
Answer:
825x, X, 36500000x
Evaluate using scientific notation
PLZ let me know if im wrong!!!
I WILL MARK BRAINLIEST!!!!!!! Point Q (-3,2) is translated 4 units left and 2 units down. What is the ordered pair of Q' after this translation?
A.(-7,0)
B.(4,0)
C.(4,4)
D.(1,4)
E(1,0)
F.(-7,4)
BRAINLIEST A store owner mixed 8 pounds of peanuts and 9 pounds of m&ms, the mixture sold for 55.27. a second mixture included 6 pounds of peanuts and 4 pounds of m&ms and sold for 42.70. find the cost per pound of the peanuts and m&ms
Answer:
$4.99
Step-by-step explanation:
8(3.79)+5y=55.27
30.32 +5y=55.27
5y=24.95
y=4.99
y
is inversely proportional to
x
.
When
y
=
25
,
x
=
4
Work out
x
when
y
=
20
Answer:
x = 5
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion
To find k use the condition when y = 25 , x = 4 , then
25 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
100 = k
y = [tex]\frac{100}{x}[/tex] ← equation of proportion
When y = 20, then
20 = [tex]\frac{100}{x}[/tex] ( multiply both sides by x )
20x = 100 ( divide both sides by 20 )
x = 5
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is PlA or B)?
The probability P(A or B) is equal to 5/10 = 0.5
How to find the probability?
P(A or B) is the probability that a randomly selected student plays either basketball of soccer.
On the diagram, we can see that there are a total of 10 students, such that 2 play only basketball and 3 play only soccer.
P(A or B) is equal to the quotient between the number of students that play one of the sports (here we don't count the ones that play both sports) and the total number of students.
Then we have:
P(A or B) = (2 + 3)/10 = 0.5
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Max Points! Will Mark Brainliest To Whoever Gets Both Of These Correct First!
Answer:
c and d
Step-by-step explanation:
Answer:
c and d
Step-by-step explanation:
I have done this before
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water.How much water will he need if he uses 1 1/2 cups of corn grits
The volume of a circular cylinder is calculated using the formula
Answer:
6%
Step-by-step explanation:
Since the volume of the cylinder V = πr²h where r = radius of cylinder and h = height of cylinder and h = 2r, we have that r = h/2.
Substituting r into v, we have
V = πr²h
V = π(h/2)²h
V = πh³/4
Now let ΔV be the error in the volume and Δh be the error in the height.
Since h is raised to the power of 3,
ΔV/V = 3Δh/h
multiplying both sides by 100, we have
ΔV/V × 100 = 3Δh/h × 100
So, we have
ΔV/V × 100 = 3 × Δh/h × 100
since Δh/h × 100 = percentage error in height = 2%, and ΔV/V × 100 = percentage error in volume,
ΔV/V × 100 = 3 × 2% = 6%
So, the percentage error in volume is 6 %
IF (82;P = 84, what is the value of p? (5 points)
2
3
4
6
Answer:
I think that it is 2
Step-by-step explanation:
I took the test.
Answer:
2
Step-by-step explanation: