Answers
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
P + 7 ≤ 50
He can spend less than but no more than $50. So whatever he buys plus the 7 dollar admission can be equal to but not greater than 50.
Related Questions
PLEASEEE ASAPPPPP BRAINLIEST
Answers
Write the equation in slope intercept form.
(-3, 1) and (-2, 0)
Answers
Answer:
y=−1/5x + 2/5
What is the y-intercept of this equation? y= 5x + 2
Answers
Answer:
(0,2)
Step-by-step explanation:
Just substitute y for 0 and solve.
Hope this helps :)
What is the ratio of red to blue squares in its simplest form?
14 red 4 blue
Answers
Simplest Form: [tex]7 : 2[/tex]
How to Simplify a Ratio A : B when A and B are both whole numbers:
List the factors of AList the factors of BFind the greatest common factor of A and B, GCF(A, B)Divide A and B each by the GCFUse the whole number results to rewrite the ratio in simplest formTry to reduce the ratio further with the greatest common factor (GCF).
The GCF of 14 and 4 is 2
Divide both terms by the GCF, 2:
14 ÷ 2 = 7
4 ÷ 2 = 2
The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :
14 : 4 = 7 : 2
Therefore:
14 : 4 = 7 : 2
-12 - 12x = 36 please help me with this problem due today.
Answers
Answer:
x = -4
Step-by-step explanation:
-12 -12x = 36
add 12 to each side of the equation
-12x = 48
divide both sides by -12
x = -4
Find the measure of the inscribed angle.
Answers
Answer:
41°Step-by-step explanation:
Measure of the inscribed angle is half the arc measure:
x = m∠ABC = 1/2mAC x = 1/2(82°) = 41°B. Order the following decimals from least to greatest.
21. 3.21, 3.021, 3.12, 3.121
22. 1.3, 1.309, 1.03, 1.39
23. 0.09, 0.012, 0.0089, 0.0189
24. 4.01, 4.0011, 4.011, 4.101
25. 5.5, 5.059, 5.0090, 5.05
Answers
Answer:
I think:
21) 3.021, 3.120, 3.121, 3.21
22) 1.03, 1.3, 1.09, 1.39
23) 0.0089, 0.012, 0.0189, 0.09
24) 4.0011, 4.01, 4.011, 4.101
25) 5.0090, 5.05, 5.059, 5.5
Answer:
21. 3.021, 3.12, 3.121, 3.21
22. 1.03, 1.3, 1.309, 1.39
23. 0.0089, 0.012, 0.0189, 0.09
At a certain pizzeria, it is known that 12% of orders are for extra-large pizzas. What is the probability that the 6th pizza ordered is the first extra-large pizza? 0.0633 0.4644 0.5277 0.9367
Answers
[tex]0.0633[/tex] is the the probability that the 6th pizza ordered is the first extra-large pizza.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, at a certain pizzeria, it is known that 12% of orders are for extra-large pizzas.
We have to find, what is the probability that the 6th pizza ordered is the first extra-large pizza.
Probability of extra-large pizzas [tex]=\frac{12}{100}[/tex][tex]=0.12[/tex]
Probability of other pizzas[tex]=1-0.12=0.88[/tex]
Hence, the probability that the 6th pizza ordered is the first extra-large pizza[tex]=0.88^{5}[/tex]×[tex]0.12[/tex](since first 5 pizzas are other pizza)
[tex]=0.527[/tex]×[tex]0.12[/tex]
[tex]=0.0633[/tex]
Hence, we can conclude that [tex]0.0633[/tex] is the probability that the 6th pizza ordered is the first extra-large pizza.
Learn more about probability here:
https://brainly.com/question/11234923?referrer=searchResults
#SPJ2
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
2/3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Hi guys please explain I don’t really get it thanks if you help
Answers
The dependent variable is cookies
9. Spanky is four inches less than of Lanky's height. Write an expression for
Spanky's height.
Algebraic Expression:
Spanky
Lanky is 72 inches tall. How tall is Spanky?
Algebraic Expression
Numerical Expression
Answer
You pick the variable for
Lanky's height! Lanky
Answers
68 inches tall is Sparky
Step-by-step explanation:
just take of 4 tall of lanky then you will get the tall
Width
5х
10x^2
5x
What is the width of Heng's area model?
Width =
Answers
Answer:
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OOOOOOKKKK ANSWER DIS MANEEEEEEEE
Four polynomials are shown below:
A. 3 − 7x5 + x2
B. 5x3 + 5 − 3x
C. 3x + 2x3 − x2 + 6 + 2x
D. 3x3 − 5 + 2x5 + x + 2x2
Which of the above polynomials is a 5th degree trinomial? (1 point)
Polynomial A
Polynomial B
Polynomial C
Polynomial D
Answers
Answer:
Polynomial D
Step-by-step explanation:
· y = -7x-2
Y+ 3 = -7x+1
(2,3)
O
no solution
an infinite number of solutions
Answers
Answer:
Given, y+3=10
⟹y+3−3=10−3 ....[Subtracting 3 from both sides]
⟹y=7
Answer:
No solution
Step-by-step explanation:
Because it will give zero
(3,-2)
tell what point is located at each ordered pair
Answers
Answer:
x = 3
y = -2
Step-by-step explanation:
I honestly don't understand the question I think you made a mistake writing it but I think I have an idea about it.
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answers
Answer: 314 mm
Step-by-step explanation:
Area of a circle is π*r^2
r is radius and π is 3.14
here the radius is 10
3.14 * 10^2 = 3.14 * 100 = 314
Which function is best represented by
the graph?
A- g(x)=6(1/3)^x
B-g(x)=6(3)^x
C-g(x)=6-(1/3)^x
D-g(x)=6-(3)^x
Plsss help I will mark u brainliest
Answers
2(10.8 k+ 2.9) What's the answer
Answers
I believe is the answer good luck!
8x - 5 - 6 - 7
Can someone solve this
Answers
Answer:
8x-18
Step-by-step explanation:
ggv dcbbccc. bvvccv. vccbv. vvvvv
Answer:
8x-18
Step-by-step explanation:
8x-5-6-7
8x-18
FIND THE equation of the linear function represented by the table below in slope intercept form
Answers
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute these points into this formula to find the slope of this linear function.
[tex]\displaystyle m= \frac{-5-(-3)}{2-1}[/tex]Simplify and solve for the slope m.
[tex]\displaystyle m=\frac{-2}{1} =-2[/tex]The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = -2 and the point (1, -3) into this equation.
[tex]y-(-3)=-2(x-1)[/tex]Simplify this equation and put it into slope-intercept form: [tex]y=mx+b[/tex].
[tex]y+3=-2x+2[/tex] [tex]y=-2x-1[/tex]The equation of the linear function represented by the table is y = -2x - 1.
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
Substitute these points into this formula to find the slope of this linear function.
Simplify and solve for the slope m.
The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
Substitute m = -2 and the point (1, -3) into this equation.
Simplify this equation and put it into slope-intercept form: .
The equation of the linear function represented by the table is y = -2x - 1.
True or False. The cross section of a Sphere is an ellipse.
a. True
b. False
Answers
Answer:
False! all cross sections of spheres are circles!
Step-by-step explanation:
The ratio of girls to boys in a sports club is 3: 5
There are 27 girls in the club. How many boys are there?
Answers
Answer:
45 boys
Step-by-step explanation:
The 3 part of the ratio refers to the number of girls.
Divide number of girls by 3 to find the value of one part of the ratio
27 ÷ 3 = 9 ← value of 1 part of the ratio, then
5 parts = 5 × 9 = 45 ← number of boys
Answer:
Their are 45 boys.
Step-by-step explanation:
Let's represent Girls by G,and Boys by B
so G = 27 and B = ? and G/B = 3:5 or 3/5
3 = 27
5. B
3B = 135
3. 3
B = 45
3 3/4 cm x 2 1/2 =
please answer fast
Answers
Answer:
9 3/8, this is the real answer to it. Sorry if i couldnt give you an explaination. i tried, but it refreshed and didnt save my answer for your question.
What is the answer to this question?
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Radius = 8 mm
Answers
The table shows the approximate area in square miles of the largest and smallest states in the United States.
State Area (mi2)
Alaska 873
Rhode Island 392
What is the difference between the areas in square miles?
__ square miles
Answers
The difference between the areas in square miles is 481.
Given that Alaska is 873 sq miles in size, while Rhode Island is 392 sq miles in total, to determine what is the difference between the areas in square miles, the following calculation must be performed:
873 - 392 = X 481 = X
Therefore, the difference between the areas in square miles is 481.
Learn more about maths in https://brainly.com/question/25273534
A female student has a BAC of 0.08%. She weighs 138 pounds. If her first drink was 3.5 hours ago, how many drinks did she have?
Answers
Answer:
she had 2 drinks .
Step-by-step explanation:
I need to know what 1683 divided bye 60
Answers
Answer:
28.05
Step-by-step explanation:
Divide them, a caculater will also show the same result.
Answer:
28.05
Step-by-step explanation:
hope that helps if it is correct please mark as brainliest.
thank you
Applying Properties of Parallelograms, Rhombi, Rectangles, and Squares
Given the following parallelogram: Solve for x,
19x + 8
17% - 50
Answers
9514 1404 393
Answer:
x = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.
17x + 50 = 19x + 8
42 = 2x . . . . . . . . . . subtract 8+17x
21 = x . . . . . . . . . . . divide by 2
I have a question True or False
The slope of the line y=3x is 3
Answers
Answer:
TRUE
Step-by-step explanation:
I HOPE IT'S HELP .............
What is the slope of the line on the graph?
Answers
Answer:
5
Step-by-step explanation:
the slope is the change in y divided by the change in x
as y goes up 5 x goes up 1
5/1=5 so the slope is 5
Answer:
6
Step-by-step explanation:
To find the slope you use rise over run.
Count how far each of the dots are from each other and you should get 6. That is your rise. See how far it goes to the right or left and you should get 1, which is your run.
Since it is rise over run, it would be 6/1, which makes your answer 6
