Which statement about the following equation is true? 3x2 â€"" 8x 5 = 5x2.
The discriminant is greater than 0, so there are two real roots and it can be determined by using nature of roots.
Given that,
Equation; [tex]\rm 3x^2 - 8x + 5 = 5x^2[/tex]
We have to determine,
Which statement about the following equation is true?
According to the question,
To determine the true statement about the equation following all the steps given below.
Equation; [tex]\rm 3x^2-8x+5=5x^2[/tex]
Simplify the equation for the roots of the equation,
[tex]\rm 3x^2-8x+5=5x^2\\\\\rm5x^2- 3x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\2x^2+8x=5\\\\2x(x+4)=5\\\\Then, \ 2x = 5, \ \ x = \dfrac{5}{2} \\\\And\ \ x+4=5, \ \ x=5-4, \ \ x=1[/tex]
The equation has two real roots and x is 1 and 5/2.
Hence, The discriminant is greater than 0, so there are two real roots.
For more details about Discriminate refer to the link given below.
https://brainly.com/question/10706429
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?
Answer:
the jar of peanut butter is $2.36
Step-by-step explanation:
Answer: $2.36
Step-by-step explanation:
What is the function of the line with a slope of 1/5
that goes through the point (-1,5)
Solving Quadratic Equations by Factoring
Answer:
are those 4 all answers or are they separate?
Step-by-step explanation:
Solve for x:
7 |x - 2| + 7 = -2 |x - 2| + 2
Answer:
It is a fraction -5/9
Step-by-step explanation:
A quadrilateral has two angles that measure 63° and 154°. The other two angles are in a ratio of 4:9. What are the measures of those two angles?
Answer:
44° and 99°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Subtract the 2 given angles from 360° to find the remaining sum
360° - (63 + 154)° = 360° - 217° = 143°
The 2 angles which sum to 143° are in the ratio 4 : 9
sum the parts of the ratio, 4 + 9 = 13 parts , then
143° ÷ 13 = 11° ← value of 1 part of the ratio, so
4 parts = 4 × 11° = 44°
9 parts = 9 × 11° = 99°
The other 2 angles are 44° and 99°
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x and y.
Answer:
Cy-Cx=10,000 this is the best answer ever
Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.
Answer:
the common factor in the given algebraic expressions: x(a-b), y (b-a)
Step-by-step explanation:
(x-y)(a-b)4 An item is priced at $14.05. If the sales tax is 4%, what does the item cost including sales tay?
Answer:
$14.61
Step-by-step explanation:
14.05 * 1.04 = 14.612
What is the number in standard form (8 x 10) + (2 x 1 /100) + ( 9 x 1/1,000
Answer:
8.0029 x[tex]10^{1}[/tex]
Step-by-step explanation:
8 x 10=80
2 x [tex]\frac{1}{100}[/tex]=0.02
9x[tex]\frac{1}{1,000}[/tex]= 0.009
add all ur answers together and u get 80.029
then in standard form that nwould be 8.0029 x[tex]10^{1}[/tex]
Hoped that helped:P
A cylinder has a height of 4 centimeters. Its volume is 12.56 cubic centimeters. What is the radius of the cylinder?
Step-by-step explanation:
hope it will help you...
Answer:
radius of cylinder = 1 cm
Step-by-step explanation:
Start with the formula for the volume of a cylinder: V = (pi)r²h, where r is the radius and h is the height. We want to solve this for the radius, r.
Dividing both sides of the Volume formula (above) by (pi)h, we get:
V
r² = -----------
(pi)h
If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:
V 12.56 cc
r² = ---------- = ----------------- = 1 cm²
(pi)h 3.14(4 cm)
Taking the square root of both sides, we get r = 1 cm
Evaluate the following
expression using x = 5:
3(3x + 5)
[tex] \huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]
Let's substitute x with 5 to find the value of given expression ~
[tex] \sf3[(3 \times 5) + 5][/tex][tex] \sf3(15 + 5)[/tex][tex] \sf3(20)[/tex][tex] \sf60[/tex]The value of the expression is 60.
What is the value of the expression?
According to the BODMAS rule, when there is a mathematical expression with a bracket, the terms in the bracket should be solved first. So the value of the expression in the bracket would be solved first.
(3(5) + 5)
(15 + 5)
= 20
The second step is to multiply 20 by 3.
20 x 3 = 60
To learn more about multiplication, please check: https://brainly.com/question/3385014
If a team won 2/3 of its games and lost the rest. what was the team's win-loss ratio
Answer: 2 wins to 1 loss
Step-by-step explanation:
Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no
In the xy-plane, line k passes through the points (0, -4) and (1,-1). Which equation defines
line ?
Answer:
y=3x-4
Step-by-step explanation:
i need help with the second part pls
Answer:
(x, y) = (22, 35)
base angle theorem; angle sum theorem
Step-by-step explanation:
Base angles theorem:
Angles opposite congruent sides are congruent:
3x -11 = 2x +11
x = 22
__
Angle sum theorem:
The sum of angles in a triangle is 180°.
(3x -11)° +(2x +11)° +2y° = 180°
5x° +2y° = 180°
2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x
y = 35 . . . . . . . . . divide by 2
A student earned 80% on a math test if she got 20 questions correct how many problems were on the test
Answer:
16
Step-by-step explanation:
80% of 20 is 16
Answer:
25
Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
W= 2
Step-by-step explanation:
How many inflection point(s) do you see ?
Answer:
7
Step-by-step explanation:
There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.
__
A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.
Answer:
7 inflection points
Step-by-step explanation:
The given function [tex]f(x)=sinx+2[/tex] has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.
[tex]f(x)=sin(x)+2[/tex]
[tex]f'(x)=cos(x)[/tex]
[tex]f''(x)=-sin(x)[/tex]
[tex]0=-sin(x)[/tex]
[tex]x=\pi n[/tex] for any integer [tex]n[/tex]
From [tex][-10,10][/tex], there are 7 inflection points, which are[tex]x=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi[/tex]
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Given that
Money of a man = Rs. X
Money given to his wife = half of the money
= Rs. X/2
Money given to his son = 1/4th of the money
⇛Rs. X/4
Money given to his daughter = Rs. 1200
Total money
⇛ (X/2)+(X/4)+1200 = X
⇛ (2X+X+4800/4 = X
⇛ (3X+4800)/4 = X
⇛ (3X+4800) = 4X
⇛4X=3X+4800
⇛4X-3X = 4800
⇛X = 4800
⇛X-4800 = 0 is the required equation
⇛X = 4800
The money of the man = Rs. 4800 Ans.
also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
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A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy?
Answer:
10.41
Step-by-step explanation:
hehe
Answer:
11
Step-by-step explanation:
Total number of pencils needed = 125 × 2 = 250
Total number of boxes = [tex]\frac{250}{24}[/tex] = 10.416
the teacher need to buy 11 boxes
Scientists say we should sleep 3/8 of a day.How about many hours is this
Answer:
9 hours
Step-by-step explanation:
Answer:
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]
number of hours in a day = 24
according to scientists ,
we should sleep number of hours = 3/8
therefore ,
[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]
hope helpful~
Solve:
A.152
B.176
C.5
D.27
Answer:
Option B
176
Step-by-step explanation:
take 11 to the next side of the equation making the division multiplication getting us 16×11=176
please help.
with the steps.
just b, please
Answer:
x² +3x -50 = 0
Step-by-step explanation:
The area expression you got in part (a) is ...
A = (x +8)(x -5) = x² +3x -40
If the area is to be 10, then x must satisfy the equation ...
10 = x² +3x -40
x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form
What's the Answer ~
[tex] \sf \tiny{14 + 14 \div 7}[/tex]
Step-by-step explanation:
remember the priorities of the different mathematical operations
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
so,
14 + 14/7 = 14 + 2 = 16
Hey there!
14 + 14 ÷ 7
14 ÷ 7 = 2
= 14 + 2
= 16
Therefore, your answer is: 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help me asap, pleaseee :/
ty ty :D
7x+8y=32
Just do pemdas
Answer:
7x+8y=32
Step-by-step explanation:
Hi there!
We are given the following equation:
[tex]y=-\frac{7x}{8} +4[/tex]
And we want to convert it into standard form
Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative
a is the coefficient in front of x and b is the coefficient in front of y
Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.
[tex]y=-\frac{7x}{8} +4[/tex]
+[tex]\frac{7x}{8}[/tex] +[tex]\frac{7x}{8}[/tex]
_________________
[tex]\frac{7x}{8} + y =4[/tex]
Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).
We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.
[tex]8(\frac{7x}{8} + y) =8(4)[/tex]
Now doing the distributive property:
[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]
Multiply each term by 8.
7x + 8y = 32
Hope this helps!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
V = 14130 inches cubed
Step-by-step explanation:
the volume formula for a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]. To solve plug in the values for each part of the equation. Pi will equal 3.14, and r will equal 15.
There are 222 red marbles in a box. Amit takes out 6 red marbles and replaces them with 12 blue
marbles. He continues doing this till all the red marbles are replaced with blue marbles.
Which of the following expressions gives the total number of blue marbles he put in the box?
A (222 + 6) = 12 B (222 - 6) + 12 C (222 - 6) + 12 D (222 + 6) x 12
Answer:
(222 - 6) + 12
Step-by-step explanation:
You put B and C as the same thing but the correct option is this because first you take away 6 (subtract 6) from the 222 marbles then you replace them with 12 (add 12).
You have a box of fruit flies that are left untouched. The fruit fly population doubles every 3 hours. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Answer:
B Exponential
Step-by-step explanation:
Hope this helps
The equation for the fruit fly population doubling every 3 hours would be exponential.
Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.
The general form of an exponential growth function is given by: y = a * b^x
Where:
- y is the final quantity or population size after x intervals of time.
- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).
- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).
- x is the number of intervals of time (in this case, the number of 3-hour periods).
In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.
To know more about population:
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Need help please. High school Geometry
Answer: last one
Step-by-step explanation: