Answer:
[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]
Step-by-step explanation:
Given
[tex]0 = x^2 - 2x -3[/tex]
Required
The correct quadratic formula for the above
A quadratic equation is represented as:
[tex]ax^2 + bx + c = 0[/tex]
And the formula is:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
So, we have:
[tex]0 = x^2 - 2x -3[/tex]
Rewrite as:
[tex]x^2 - 2x - 3 = 0[/tex]
By comparison:
[tex]a= 1; b = -2; c = -3[/tex]
So, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]
Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.
Answer:
Step-by-step explanation:
y = 50x - 165
Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?
Answer:
good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer
The son solved 40 problems correctly out of the 60 problems he attempted.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's denote the number of problems the son solved correctly by "x".
According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.
Now,
Total earnings = 1 euro (x) - 0.5 euros (60 - x)
Simplifying this expression.
Total earnings = 1.5x - 30
We are given that the son won 30 euros in total, so we can set up the equation:
30 = 1.5x - 30
Solving for x.
1.5x = 60
x = 40
Therefore,
The son solved 40 problems correctly out of the 60 problems he attempted.
Learn more about expressions here:
https://brainly.com/question/3118662
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The complete question.
A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?
Shape 1 and shape 2 are plotted on a coordinate plané. Which statement about the shapes is true?
Answer:
We need to see all of the choices, but they are congruent and reflected and rotated.
Step-by-step explanation:
2. Use the Distributive Property to simplify the expression (1 point)
4(2x - 4)
8x + 4
8x - 4
8x - 16
4x – 16
Answer:
(c) 8x -16
Step-by-step explanation:
The outside factor multiplies each of the terms inside parentheses.
4(2x -4) = 4(2x) +4(-4) = 8x -16
_____
Additional comment
You can think of parentheses as a "bag". The factor outside tells you how many bags you have. When you dump that many bags (eliminate parentheses), you find that the number of each of the kinds of contents is the number in one bag, multiplied by the number of bags.
If you have 4 bags that each have 2 apples and 4 oranges, your total is 8 apples and 16 oranges.
Help PLZZ
Find the slope of the line through each pair of points
1.(10,-9),(-4,-14)
2.(16,6),(-4,-14)
3.(9,-4),(5,-20)
4.(-13,20),(-18,20)
To find slope we use the formula ~
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][ Ratio of the difference of y - coordinates of the points and the difference of x - coordinates of the points ]
let's find the slope of line passing through the given points ~
1. (10 , -9) and (-4 , -14) [tex] \sf \dfrac{ - 9 - ( - 14)}{10 - ( - 4)} [/tex][tex] \sf \dfrac{ - 9 + 14}{10 + 4} [/tex][tex] \sf \dfrac{5}{14} [/tex]2. (16 , 6) and (-4 , -14)[tex] \sf \dfrac{6 - ( - 14)}{16 - ( - 4)}[/tex][tex] \sf \dfrac{6 + 14}{16 + 4} [/tex][tex] \sf \dfrac{20}{20}[/tex][tex] \sf1[/tex]3. (9 , -4) and (5 , -20)[tex] \sf \dfrac{ - 4 - ( - 20)}{9 - 5}[/tex][tex] \sf \dfrac{ - 4 + 20}{4} [/tex][tex] \sf \dfrac{16}{4} [/tex][tex] \sf4[/tex]4. (-13 , 20) and (-18 , 20)[tex] \sf \dfrac{20 - 20}{ - 13 - ( - 18)} [/tex][tex] \sf\dfrac{0}{ - 13 + 18} [/tex][tex]0[/tex]I hope it helps ~
___________________________________
[tex]꧁ \: \: \large \rm{kaul} \: ꧂[/tex]
Josiah, Nathaniel and Walden work 7,5, and 3 days respectively on a particular job. If the payment for the job is $216.00, how much did Josiah receive?
$100.80
$72.00
$43.20
$23.20
90% of _______ is 18.
Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?
Answer:
34 Model B gloves were sold
Step-by-step explanation:
5/6 times 2/7 and simplified
Step-by-step explanation:
⅚ײ/7 = 5/21.
hope this helps you.
Answer: it 5/21
Step-by-step explanation:
this is how i got it
5/6×2/7=
5 × 2/6 × 7= 10/42
= 10 ÷ 2/42 ÷ 2
= 5/21
i will give you brainliest or whatever it’s called just pls answer within 45 minutes !!
Answer:
x = y1 x x1/ y2 x2
Step-by-step explanation:
What is the value of x?
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
[tex]4x + \frac{x}{2} + 2 + \frac{3x-4}{2} = 180[/tex]Now, let's simplify.
=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]
=> [tex]4x + 2 + 2x-2 = 180[/tex]
=> [tex]4x + 2x = 180[/tex]
=> [tex]6x = 180[/tex]
=> [tex]x = 30[/tex]
Therefore, Option D is correct.
Hoped this helped.
What is the term that describes how a cell must maintain a stable environment? (in: regulating temperature)
Answer:
homeostasis
Step-by-step explanation:
Homeostasis refers to the body's ability to maintain a stable internal environment (regulating hormones, body temp., water balance, etc.).
Answer:
Homeostasis is the ability to maintain a relatively stable internal state that persists despite changes in the world outside. All living organisms, from plants to puppies to people, must regulate their internal environment to process energy and ultimately survive.
The maintenance of stable, constant, internal conditions is called homeostasis. ... Like the walls of a house, cell membranes protect the inside of cells and maintain homeostasis through molecular transport. Controlling how much of which molecules enter or leave a cell allows cells to function properly.
Step-by-step explanation:
if rs=44 and qs=68 find qr.
Answer:
qr=68r/s
Step-by-step explanation:
rs=44
s=44/r
qs=68
q(44/r)=68
44q/r=68
44q=68r
q=68r/44
rs=44
r=44/s
qr=(68r/44)(44/s)=68r/s
2 dot plots. The highlands have a mean rainfall of 15.27 millimeters, and the Lowlands have a mean rainfall of 12.05 millimeters. Analyze the dot plots. What is the approximate difference between the means of the two data sets to the nearest whole number? mm
Answer:
the answer to your question would be 3mm hope you have a wonderfull day!
Answer:
3 mm
Step-by-step explanation:
if -5 is less than 0 what is the opposite of -5?
A. 0
B. 8
C. 5
D. 25
Answer: opposite of -5 is positive 5 so it’s choice C
Answer:
it’s choice C
Step-by-step explanation: hope this helps bestie
Help! What is 5 - x = 8
Answer:
x = -3
Step-by-step explanation:
hope this helps!!
what does the term ‘slope’ mean?
Answer:
noun
1.
a surface of which one end or side is at a higher level than another; a rising or falling surface.
Step-by-step explanation:
steepness
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)
step one: identify two points on the line
step two: select one to be (x1,y1) and the other to be (x2,y2)
step three: use the slope equation calulate slope
2x-3=8+7(+3)
2y-3(+3)=8x+7(+3)
2y=8x+10
----- --------
2y=8x+10
y=4x+5
Answer:
m=4
Simplify 3x + 5y + 2x – 4y
Answer:
5x + yStep-by-step explanation:
3x + 5y + 2x – 4y=> 5x + yConclusion:
Therefore:
5x + yHoped this helped.
[tex]GeniusUser[/tex]
The simplified form of the given expression is 7x+y.
The given expression is 3x+5y+2x-4y.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Group the like terms and simplify, we get
(3x+2x)+(5y-4y)
= 7x+y
Therefore, the simplified form of the given expression is 7x+y.
To learn more about an expression visit;
https://brainly.com/question/28170201.
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need help multie choice
the answer is a the same line
Answer:
A - The same line
Step-by-step explanation:
First, let's simplify 6x - 15y = 15:
Add 15y to both sides to get 15 + 15y = 6x, and then subtract 15 on both sides to get 15y = 6x - 15. We can then divide by 15 on both sides to get y = 6x/15 - 1, which can be simplified to (since 6/15 = 2/5):
y = 2x/5 - 1
y = 2x/5 - 1 is the same as the second bullet point, and since the equations of the lines are the same, this means that the lines are the same. Therefore, the answer is A - The same line.
(6p+5)×5-6p) expansion using special algebraic identit
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(ASAP)
Answer:
85°+8x-1+11x+1=180°(being sum of all angle in a
triangle)
or,85°-1+1+8x+11x=180°
or,84+1+19x=180°
or,85+19x=180°
or,19x=180-85
or,19x=95
or,x=95/19
x=5
Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help
Answer: 1.25 problems/min
32 minutes --> 40 problems
1 minute --> 40/32
--> 1.25
ms. cox and her three friends are dining at a restaurant. the food they order cost %80. the bill includes an additional 15% service charge. how much does each person pay if they share the bill equally
did i hear help i will help you soooooooo oooooooooo
A pair of shoes was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price? 5 points
Answer:
$138
Step-by-step explanation:
120 · 0.15 = 18
120 + 18 = 138
1/4 5/8 1/2 least to greatest
Answer:
1/4, 1/2, 5/8
Step-by-step explanation:
1/4, 1/2, 5/8
Answer:
1/4,1/2,5/8
Step-by-step explanation:
because 1/2 is 0.25 and 1/2 is 0.50
8 times 1/2 Pretty basic
Answer:
4
Step-by-step explanation:
8 * 1/2 = (8*1)/2 = 8 / 2 = 4
Barron's car dealership sold only trucks and vans this week. When Baron looks at the inventory left, he noticed he sold 80 vehicles but only 10 trucks. Select all the statements that are true A This week, the ratio of trucks to vans sold was 1:7. B This week, the ratio of trucks to vans sold was 7:1. C This means for every 7 vans sold, there was 1 truck sold. D This means for every van sold, there were 7 trucks sold. E This means for every 8 vehicles sold, 1 truck was sold.
The correct statement is for every 8 vehicles sold, 1 truck was sold.
Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.
In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every 8 cars sold 1 truck are sold.
A similar question was answered here: brainly.com/question/411732
Help me with this please!!!
Write the function for the graph!?!??
The y intercept is the y value when x is 0 which is shown on the graph as (0,4) making the y intercept is 4
The next point given is (1,8) which shows for every 1 increase in x (1-0 = 1) the y value increases by a multiple of 2 (4 x2 = 8)
The equation would be f(x) = 4 * (2)^x
The answer is B
The image of a point k(-3,4) under a translation 5/2 is
Answer:
try to use automath, it really helps
(a) Round off 3.612 and 29.87 to 2 significant figures.
(b) Use your answers in part (a) to estimate the value of 3.612 ÷ 29.87.
also pls show how you found the answer
