Answers
Step-by-step explanation:
x²-11x+32=4
x²-11x+28=0
(x-4)(x-7)=0
x=4 or x=7
_______
x²+8x-5=4
x²+8x-9=0
(x+9)(x-1)=0
x=-9 or x=1
_______
x²+x+4=5x+1
x²-4x+3=0
(x-1)(x-3)=0
x=1 or x=3
________
x²+x-24=-8x-2
x²+9x-22=0
(x+11)(x-2)=0
x=-11 or x=2
Related Questions
PLEASE HELP!!!!! Triangle △A'B'C' is the image of △ABC under a dilation with a scale factor of 2. (graph below) give an explanation please
Answers
Answer:
The Answer I think is A' (0,-2) B' (0,0) C(-3,0)
I will update and do the step by step when it is verified.
Step-by-step explanation:
A grocery store bought ice cream for $2.30per half gallon and stored it in two freezers. During the night, one freezer malfunctioned and ruined 14 half gallons. If the remaining ice cream is sold for $4.00 per half gallon, how many half gallons did the store buy if they made a profit of $97.00?
Answers
Answer:
number of half gallons of ice cream the store bought=90 half gallons
Step-by-step explanation:
given data
bought ice cream = $2.30 per half gallon
one freezer malfunctioned and ruined = 14 half gallons
ice cream is sold = $4.00 per half gallon
profit = $97.00
solution
we know here profit is express as
Profit = Money earned - Money spent ...................1
and we consider here total number of gallons bought = x
so Money earned = $4(x-14)
Money spent = $2.30(x)
so put here value and we get
$97 = $4(x-14) - $2.30(x)
solve it we get
x = 90
so number of half gallons of ice cream the store bought=90 half gallons
Please help me ASAP!!!!!!!!!!!!!!!!!!
Answers
Answer:
A. 5 = 3m
C. 2+6 = (5-1)*2
Step by Step Explanation:This is becuase an equation is a statement that two expressions are equal.
Answer:
A) 5 = 3m
C) 2+6 = (5-1)*2
Step-by-step explanation:
An equation includes an equal sign that indicates two values are equivalent.
A. 5=3m
This has an equal sign, therefore it is an equation.
B. n > I -8 I
This has a greater than sign, therefore it is an inequality.
C. 2 +6 = (5-1)*2
This has an equal sign, therefore it is an equation.
D. 8 * (k+6)
This doesn’t have any sign, therefore it is an expression.
E. 0 < 4 + p
This has a less than sign, therefore it is an inequality.
So, the two phrases that are equations are: 5 = 3m and 2+6 = (5-1)*2. The correct choices are A and C.
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answers
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold
Answers
Answer:
Step-by-step explanation:
If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is
y = 2x - 48
Answer:
c
Step-by-step explanation:
At the arena, front section tickets are $12.50 more expensive than back section tickets. If 600 front section and 450 back section tickets to a worship music concert were sold for a total revenue of $31,125, how much does each type of ticket cost?
Answers
Answer:
Back Section Tickets: $22.50
Front Section Tickets: $35
Step-by-step explanation:
600(12.50+x) + 450(x) = 31125
7500+600x + 450x = 31125
1050x = 23625
x = 22.50 = back section tickets
x+12.50 = 35 = front section tickets
what is the coordinate of the vertex of the parabola y-2=1/12(x+10) a. ( 10,-2) b. (-10,2) c. (-2,10) d. (2.-10)
Answers
Answer:
[tex] y-a= c(x-b)^2[/tex]
With the vertex [tex] V= (b,a)[/tex]
We see that b = -10 and a = 2 and then the vertes wuld be:
[tex] V= (-10,2)[/tex]
And the best option is:
b. (-10,2)
Step-by-step explanation:
For this problem we have the following function:
[tex] y-2 = \frac{1}{2} (x+10)[/tex]
And if we compare this expression with the general expression for a parabola given by:
[tex] y-a= c(x-b)^2[/tex]
With the vertex [tex] V= (b,a)[/tex]
We see that b = -10 and a = 2 and then the vertes wuld be:
[tex] V= (-10,2)[/tex]
And the best option is:
b. (-10,2)
GCM & LCM PICTURE INCLUDED LOTS OF POINTS
Answers
Answer:
lcm:
just write the larger common factors:
[tex]{3}^{3} \times {8}^{4} [/tex]
gcm(gcd):
just write the smaller factors:
[tex] {2}^{3} \times {6}^{7} [/tex]
NEEEED HELPPP NOWWWW Use long division to find the quotient below.
(x^5+ 18x^2 - 27x) - (x+3)
Answers
Answer:
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]Option A is the correct option.
Step-by-step explanation:
[tex] \frac{ {x}^{5} + 18 {x}^{2} - 27x }{x + 3} [/tex]
Factor out X from the expression
[tex] \frac{x( {x}^{4} + 18x - 27)}{x + 3} [/tex]
Add and subtract [tex]3 {x}^{3} [/tex]
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} + 18x - 27)}{x + 3} [/tex]
Write 18x as a difference
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27 }{x + 3} [/tex]
factor out [tex] {x}^{3} [/tex]from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
Factor out [tex] - 3 {x}^{2} [/tex] from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2}(x + 3) + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
factor out 9x from the expression
[tex] \frac{x( {x}^{3}(x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9x - 27 }{x + 3} [/tex]
Factor out -9 from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9(x + 3)}{x + 3} [/tex]
factor out x+3 from the expression
[tex] \frac{x(x + 3)( {x}^{3} - 3 {x}^{2} + 9x - 9) }{x + 3} [/tex]
Reduce the fraction with X+3
[tex]x( {x}^{3} - 3 {x}^{2} + 9x - 9)[/tex]
Distribute X through the parentheses
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]
hope this helps...
Good luck on your assignment...
a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.
Answers
Answer:
Hello!
~~~~~~~~~~~~~~~~~`
Profit % = (Profit/C.P)*100
= (1000/8000)*100
= 12.5%
Step-by-step explanation:
Cp of 1000glass =8000
100were broken =8000-800=7200
now there were 900 glass tumblers left he sold at rs10 each =9000
there for sp is bigger than cp
P in rs =9000-8000=1000
Hope this helped you! Brainliest would nice..!
☆_________________❤︎________________☆
The function h(t) = 2.3 + 50t - 1.86t^2 models the height of an arrow shot from a bow on Mars, where h(t) is the height in metres and t is time in seconds. How long does the arrow stay in flight?
Answers
Answer:
The arrow stay in flight for 26.92 seconds
Step-by-step explanation:
We are given that the height of an arrow shot from a bow on Mars is modeled by equation:
[tex]h(t) = 2.3 + 50t - 1.86t^2[/tex]
Where h(t) is the height of arrow
t is the time in seconds
Now we are supposed to find How long does the arrow stay in flight?
Substitute h(t)=0
So,[tex]2.3+50t-1.86t^2=0[/tex]
[tex]1.86t^2-50t-2.3=0[/tex]
t=-.04 , 26.92
Since the time cannot be negative
So,the arrow stay in flight for 26.92 seconds
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?
Answers
Answer:
a^2-ab+3ab^2-2b^2
Step-by-step explanation:
-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
Open parenthesis
-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab
Add
-2a^2b+2a^2b=0
We have
a^2-5ab+3ab^2-2b^2+4ab
Add
-5ab+4ab=-ab
We have
a^2-ab+3ab^2-2b^2
Which angle has a positive measure? On a coordinate plane, a ray moves counter-clockwise to form an angle. On a coordinate plane, a ray moves clockwise to form an angle. On a coordinate plane, a ray moves clockwise to form an angle. On a coordinate plane, a ray moves clockwise to form an angle.
Answers
Answer:
B on edge
Step-by-step explanation:
The arrow is counterclockwise so its positive. The person above had the right idea but on edge is B.
Also I took the test and got 100% have a great day :D
Answer:
The answer is B
Explanation:
The arrow is counterclockwise so its positive.
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defense. Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results.
Answers
Answer: B
Step-by-step explanation:
The probability of winning when playing regular defense is 42 over the total 50.
42/50 = 0.84
The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.
35/50 = 0.70
0.84 is greater than 0.70 so your more likely to win playing regular defense.
B. P(win | regular) = 0.84
P(win | prevent) = 0.70
Conclusions : You are more likely to win by playing regular defence.
What is probability ?The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.
What is the conclusion of the problem ?The number of outcomes of winning by regular defence is 42 out of 50.
∴ P(win | regular) = 42/50 = 0.84
The number of outcomes of winning by prevent defence is 35 out of 50.
∴ P(win | prevent) = 35/50 = 0.70
Conclusion : You are more likely to win by playing regular defence.
Hence the option B is correct.
Learn more about probability here :
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Study the diagram of circle B. Points C, R, and V lie on circle B. The radius, BC¯¯¯¯¯¯¯¯, and the diameter, VR¯¯¯¯¯¯¯¯, are drawn. Arc CR has a measure of 90∘. If m∠VBC=(3x+4)∘, what is the value of x?
Answers
Answer:
D. x ≈ 31.3°Step-by-step explanation:
The triangle CBV is angled triangle with right angle at ∠VBC.
Since ∠VBC = (3x-4) °
To get the value of x, we will equate the angle ∠VBC to 90°
This results into (3x-4) ° = 90
Simplifying the resulting equation;
3x-4 = 90
Adding 4 to both sides;
3x-4+4 = 90+4
3x = 94
Dividing both sides by 3
3x/3 = 94/3
x = 31.33°
x ≈ 31.3°
Answer:
28.7
Step-by-step explanation:
i got it right on the quiz
its not 31.3
What is the value of p?
Answers
Answer:
43
Step-by-step explanation:
90 is on a straight line with an interior angle of the triangle. So, they add to 180. 90+x=180
x=90
133 is also on a straight line. 180-133= 47
47+90=137
that leaves p as 180-137 or 43.
An NBA center recently signed a seven-year contract for $121 million. What is the present value of this contract, given a 9% interest rate? In other words, how much must the ball club invest when the contract is signed, so that it can make seven equal payments of $17285714.29, the first one due immediately?
Answers
Answer:
PV= $86,998,184.72
Step-by-step explanation:
Giving the following information:
Annual payments= $17,285,714.29
Number of years= 7
Interest rate= 9%
First, we need to determine the future value incorporating the interest rate.
FV= {A*[(1+i)^n-1]}/i
A= annual payment
FV= {17,285,714.29* [(1.09^7) - 1]} / 0.09
FV= $159,036,085.1
Now, we can calculate the present value:
PV= FV/(1+i)^n
PV= 159,036,085.1/1.09^7
PV= $86,998,184.72
Can someone please help me I really need help please help me
Answers
So first you have to put both equations into y=mx+b form
So first equation, x-2y+8=0, now we subtract 8 on both sides aswell as subtract x and were left with -2y=-x-8 now we have to divide by negative two on both sides which gives you y=1/2x+4.
Then we do the same to the second equation. 2x+y+1=0. Se switch some things around and get Y=-2x-1
Okay so your answer would be something like this.
These lines are perpendicular since the slopes are the inverse of one another. The second like would run in the direction of the 4 quadrant. And the first in the direction of the 1st quadrant.
Find the side length of the rhombus pictured below.
3x -8
x + 10
Answers
Hey there! :)
Answer:
19 units.
Step-by-step explanation:
The sides of a Rhombus are all congruent. Therefore:
x + 10 = 3x - 8
Subtract both sides by x:
10 = 2x - 8
Add 8 to both sides:
18 = 2x
Divide both sides by 2:
18/2 = 2x/2
x = 9.
Find the side length by plugging x into an equation:
(9) + 10 = 19 units.
Write the first 3 terms of the sequence below. Tn= n squared+5n+2 Thanks! Brainliest to first (correct) answer!
Answers
Answer:
8, 16, 26
Step-by-step explanation:
1 squared + (5*1) + 2 = 8
2 squared + (5*2) + 2 = 16
3 squared + (5*3) + 2 = 26
Hope it helps !
Answer:
8, 16, 26
Step-by-step explanation:
To find the first 3 terms substitute n = 1, 2, 3 into [tex]T_{n}[/tex] , that is
[tex]T_{1}[/tex] = 1² + 5(1) + 2 = 1 + 5 + 2 = 8
[tex]T_{2}[/tex] = 2² + 5(2) + 2 = 4 + 10 + 2 = 16
[tex]T_{3}[/tex] = 3² + 5(3) + 2 = 9 + 15 + 2 = 26
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answers
Answer: ŷ = 0.96185X + 3.55949
Step-by-step explanation:
From the plot provided : our points are;
(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)
According to relation:
Y = mx +c
Using the online linear regression calculator
ŷ = 0.96185X + 3.55949
The gradient or slope (m) = 0.96185
m = (y2 - y1) / (x2 - x1)
what whould the points (3,9) and (5,15) represent
Answers
Answer:
This is kind of impossible
Step-by-step explanation:
I need more info or a picture/screenshot for this to make sense.
Answer:
Points/coordinates on a graph or equation
Step-by-step explanation:
You aren't exactly clear on what the points relate to in this type of situation maybe try reposting with a picture
how much is 50 cents in decimal
Answers
Answer:
0.50
Step-by-step explanation:
"Cents" generally refers to 1/100 of something. When it is money, it refers to 1/100 of the base unit of the currency. When it is land area, it refers to 1/100 of an acre.
__
In the US, 50 cents means 50/100 dollars, or $0.50.
In Europe, 50 cents means 50/100 euros, or €0.50.
In general 50 cents is 50/100 = 0.50.
What is the domain of the function y=3/x-1?
O
-00
O-1
O 0
O 1
Answers
Answer:
x ≠ 1.
Step-by-step explanation:
In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.
x - 1 = 0
x = 1
That means that the domain of the function is x ≠ 1.
Hope this helps!
The value of domain is,
⇒ {- ∞, ∞} - {1}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = 3 / (x - 1)
Now, We can find the domain as;
Here, The function is,
⇒ y = 3 / (x - 1)
Hence, Domain is,
⇒ {- ∞, ∞} - {1}
Thus, The value of domain is,
⇒ {- ∞, ∞} - {1}
Learn more about the function visit:
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Which relation defined by a mapping diagram is not a function?
Answers
Answer:
C
Step-by-step explanation:
LCM PICTURE INCLUDED
Answers
Answer: B) 3³ x 7⁶
Step-by-step explanation:
The most they have together is 3³ and 7⁶ the Least Common Multiple is:
3³ x 7⁶
check whether the number 25110 is divisible by 11
Answers
Answer:
No. 25110 is NOT divisible by 11.
Step-by-step explanation:
25110 ÷ 11 = 2282.72727
Answer:
,
According to calculation 25,110 is not div by 11
Step-by-step explanation:
If we divide it we get 25,110÷11=2282;72727
Which expression is equivalent to 4(7 + 8)? (3 points) 11 + 8 11 + 12 28 + 12 28 + 32
Answers
Answer:
D) 28+32
Step-by-step explanation:
Well, if you solve the equation in the question, you derive 60.
So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.
Hope this helped.
Answer:
28 + 32
Step-by-step explanation:
4(7 + 8)= 4*7+4*8= 28+32= 60
Last option is correct
What is the "k" value of the following function? Is it 3, -2, -3, or 2?
Answers
Answer:
-3
Step-by-step explanation:
we khow that the vertex form of a function is written this way :
f(x)=a(x-h)²+k
the coordinates of the vertex are (h,k) so from the graph we can deduce that k = -3
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.
Answers
Answer:
-7/4 =x
Step-by-step explanation:
x-2(x+3) = 4(2x+3) -(x+4)
Distribute
x -2x -6 =8x+12 -x -4
Combine like terms
-x-6 = 7x +8
Add x to teach side
-x-6 +x = 7x+x+8
-6 = 8x+8
Subtract 8 from each side
-6-8 =8x+8-8
-14 = 8x
Divide by 8
-14/8 = 8x/8
-7/4 =x
Answer:
-5/6Step-by-step explanation:
[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]