solve the quadratic equation y^2-2y-35=0

Answers

Answer 1

Hello,

To solve we need to factor y^2-2y-35:

(y-7)(y+5)=0

Now solve for :

(When will (y-7)(y+5)equal zero?)

When y-7=0 or y+5=0

Solve for the 2 equations above and;

y= 7,-5

Hope this helps, have a great day!




Related Questions

can you please help me with these two questions?

Answers

For this question you are required to determine what is called a slope and y-intercept. To thoroughly explain, a slope is a constant factor while a y intercept is simply a number on the y-axis, for instance (0,1)

In order to determine slope, you would take two ordered pairs  and use the following y2 - y1 divided by x2 - x1 to determine slope.

On the first attachment, take two ordered pairs.

-1 - (-3) divided by 1-0

2/1 = 2

m = 2

On the second attachment, use a principle called rise over run to determine the slope.

Using the method above, we “rise” two boxes and “run” one box, therefore the slope for the second attachment would be 2 and if we go down 2 we determine that the y-intercept is 0

Applying the explanation, we determine for the first attachment that the most sufficient answer is y = 2x - 3

The answer for the second attachment is y = 2x

Nick invests $3,500 in an account earning 11% interest compounded annually. Krista invests $4,000 in an account earning 4% interest compounded annually. Who will have more money in their account after 2 years? How much more?

Answers

Krista will have more money in 2 years time than Nick and she will get $14.05 more than Nick. Hope this helps.

Answer:

Krista's have more amount by $14.05

Step-by-step explanation:

Nick's Case

Principal = $3500

Rate of interest = 11% = 0.11

Time = 2 years

Formula : [tex]A=P(1+R)^t[/tex]

[tex]A=3500(1+0.11)^2[/tex]

[tex]A=4312.35[/tex]

Krista's case

Principal = $4000

Rate of interest = 4% = 0.04

Time = 2 years

Formula : [tex]A=P(1+R)^t[/tex]

[tex]A=4000(1+0.04)^2[/tex]

[tex]A=4326.4[/tex]

Nick's amount = $4312.35

Krista's amount = $4326.4

So, Krista's have more amount

Difference =  $4326.4-$4312.35=$14.05

Hence Krista's have more amount by $14.05



The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′(−1, 4) , Q′(−2, 2) , and R′(2, 1) .



Which statement correctly describes the relationship between △PQR and △P′Q′R′ ?

△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
△PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′ .
△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

Answers

ANSWER


The correct  answer is B


EXPLANATION

If we analyse the coordinates carefully, you realize there is a mapping of

[tex](x,y)\rightarrow(-x,y)[/tex]

This is a reflection in the y-axis.


Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle

PQR are congruent.



Answer:

B

Step-by-step explanation:

A basketball player won 80% of the games he pichted.If he picthed 35 ballgames how many games did he win

Answers

28 games won

we require to calculate 80% of 35

80% = [tex]\frac{80}{100}[/tex] = 0.8

games won = 0.8 × 35 = 28


How many solutions are there to the equation below? 14x + 2 = 12x

Answers

this is an equation in one variable and has only one solution

14x + 2 = 12x ( subtract 12x from both sides )

2x + 2 = 0 ( subtract 2 from both sides )

2x = - 2 ( divide both sides by 2 )

x = [tex]\frac{-2}{2}[/tex] = - 1 ← one solution


The equation 14x + 2 = 12x has only one solution.

14x + 2 = 12x

subtract 12x from both sides

14x - 12x + 2 = 12x - 12x

2x + 2 = 0

subtract 2 from both sides

2x + 2 - 2 = 0 - 2

2x = - 2

divide both sides by 2

2x / 2 = -2 / 2

x = -1

Therefore, the equation have only one solution.

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Select the correct answer from each drop-down menu.
Use the given expression to complete the statements.

Answers

5 is a coefficient.  A coefficient is a number multiplied by a variable.


(2y+13) is a factor.  It can be multiplied by 8 to get an extended answer.


-1 is a constant.  A constant is a number that does not change.


Hope this helps!

Answer:

coefficient, factor and constant

Step-by-step explanation:

The given expression is:

[tex]5x-8(3y+13)-1[/tex]

From the given expression , we get

In the first term, [tex]5[/tex] is a coefficient of x (A coefficient is a number multiplied by a variable.).

In the second term, [tex]3y+13[/tex] is the factor (It can be multiplied by 8 to get an extended answer)

In the third term, [tex-1[/tex] is a constant (A constant is a number that does not change)

What is the distance between these two points on a number line?

178 and 313


A.
–491


B.
–135


C.
135

D.
491

Answers

the answer is c , because 178-313 will give you 135 which is c

Write each equation in slope-intercept form of the equation of a line.

3x+4y–12=0
Answer:
The slope − intercept form is __
The slope is __
The y − intercept is __

Answers

The x-intercept is 4

The y-intercept is 3

The slope is -3/4

In Exercises 29–34, graph the function and identify intervals on which
the function is increasing, decreasing, or constant.

30. ƒ1x2 = 0 x + 1 0 + 0 x - 1 0 - 3

32. h1x2 = 0.51x + 222 - 1

34. ƒ1x2 = x3 - x2 - 2x


In Exercises 41– 46, use a grapher to find all local maxima and minima
and the values of x where they occur. Give values rounded to two decimal
places.


42. g1x2 = x3 - 4x + 1

44. ƒ1x2 = 1x + 321x - 122


In Exercises 47–54, state whether the function is odd, even, or neither.

48. g1x2 = x3

50. g1x2 = 3/
1 + x2

52. ƒ1x2 = x3 + 0.04x^2 + 3

Answers

im confused what is the wuestion i will aanswer still in the comments

Can someone help me do this?

Answers

A. -13ab

B. 5a^2b

C. 3

At 2pm the level of water in the pool was 10 feet.At 6pm the level of water was 2 feet .Find the constant rate of the water.

Answers

Answer:boi

Step-by-step explanation:

Which is the simplified form of p to the power 0

Answers

NAMASTE :)

HERE IS YOUR ANSWER:

[tex] {p}^{0} = 1[/tex]


Any variable or constant having power zero is equal to one... :)

Answer:

the correct option is D : 1

Step-by-step explanation:

The zoo feeds the tortoise, rhinoceros, and zebra a total of 23 pounds of vegetables a day. How many pounds does the zoo feed the animals a month based on an average 30 day month? Write an equation to show how the supply changes each month.

PLEASE HELP ME

Answers

If I understand your question correctly, you want to know how many pounds of vegetables the zoo feeds the animals a month if its a 30 day month?

In that case it would be 23 pounds times 30 days which is 690 pounds of vegetables. SO the zoo feeds the animals 690 pounds of vegetables to the animals each month.

Is that what your asking for?

Final answer:

To calculate the total monthly vegetable supply for the zoo animals, you multiply the daily feed amount by the average number of days in a month (23 pounds/day * 30 days/month = 690 pounds/month).

Explanation:

The student's question involves calculating the total amount of vegetables fed to the animals at the zoo over a month. To find this, we can set up a simple multiplication equation, where we multiply the daily food requirement by the number of days in a month. According to the question, the zoo feeds the tortoise, rhinoceros, and zebra a total of 23 pounds of vegetables a day. We are given that an average month is considered to have 30 days. So, the equation to find the total monthly vegetable supply for the animals would be:

23 pounds/day × 30 days/month = Total pounds/month

By multiplying these two numbers together, we get:

23 pounds/day × 30 days/month = 690 pounds/month

So, the zoo feeds the animals a total of 690 pounds of vegetables in an average 30 day month. If we want to express how the supply changes each month, we can write the equation as S = 23 × D, where S represents the total monthly supply and D represents the number of days in the month.

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q + 12 - 2 (q-22)>0



step by step please hurry ); <3

Answers

see the attached photo, with sign changed correctly

q + 12 - 2(q - 22) > 0     |use distributive property

q + 12 +(-2)(q) + (-2)(-22) > 0

q + 12 - 2q + 44 > 0      |combine like terms

(q - 2q) + (12 + 44) > 0

-q + 56 > 0       |subtract 56 from both sdies

-q > -56      |change the signs

q < 56

Name three ways you can solve a system of nonlinear equations.

Answers

Substitution.

Elimination.

Using a Combination of methods.

Using absolute value

I hope this helps!

Convert the following measures of capacity.
a. 35 cubic meters to liters
b. 450 cubic centimeters to milliliters
c. 19.74 cubic meters to cubic decimeters
d. 926 cubic centimeters to cubic decimeters

Answers

Answer:

a)35 cubic meters=35000 liters.

b)450 cubic centimeters= 450 milliliters.

c)19.74 cubic meters=19740 cubic decimeters.

d)926 cubic centimeters=0.926 cubic decimeters.

Step-by-step explanation:

a) since one cubic meter = 1000 liters,

              35 cubic meters=35 X 1000=35000 liters

b) Since one cubic centimeters=1 milliliter,

               450 cubic centimeters=450 milliliters.

c)Since one meter = 10 decimeters, one cubic meter=10³ decimeters.

Hence 19.74 cubic meters= [tex]19.74X10^{3} =19740[/tex] cubic decimeters.

d) Since once centimeter=0.1 decimeter, 1 cubic centimeter=0.1³ decimeters.

Hence 926 cubic centimeters=[tex]926X0.1^{3}=0.926[/tex] cubic decimeters.

a. 35 cubic meters to liters:

1 cubic meter = 1000 liters

so 35 cubic meters = 35 x 1000 = 35,000 liters

b. 450 cubic centimeters to milliliters:

1 cubic centimeter = 1 milliliter

Therefore 450 cubic centimeters = 450 milliliters

c. 19.74 cubic meters to cubic decimeters:

1 cubic meter = 1000 cubic decimeters

so 19.74 cubic meter = 19.74 x 1000 = 19740 cubic decimeters

d. 926 cubic centimeters to cubic decimeters:

1 cubic centimeters = 0.001 cubic decimeters

so 926 cubic centimeters = 926 x 0.001 = 0.926

Vito owned 120 shares of a stock before tha corporation instituted a 5 for 3 split. Before the split, the stock was selling at 16 a share. Vito now has 200 shares of te stick that is worth about $26.67 each

Answers

Vito owned 120 shares of a stock before that corporation instituted a 5 for 3 split. Before the split, the stock was selling at 16 a share. Vito now has 200 shares of the stock that is worth about $26.67 each



Answer   =======>    False    

Post-split number of shares:    5/3   *    120      =    200

post-split price:        3/5   *   16      =     $9.60




Hope that helps!!!                    : )

The given condition is 'False'.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Vito owned 120 shares of a stock before the corporation instituted a 5 for 3 split.

And, Before the split, the stock was selling at 16 a share.

Here,

Vito now has 200 shares of the stock that is worth about $26.67 each

Since, Vito owned 120 shares of a stock before the corporation instituted a 5 for 3 split.

Hence, Post split number of shares = 5/3 × 120

                                                       = 200

So, Post split price = 3/5 × 16 = $9.60

Thus, The given condition is false.

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Need help asap please! A toy company has determined that the revenue generated by a particular toy is modeled by the following equation: 13x - 0.025x² The variable x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars. What is the maximum revenue the company can earn with this toy?

Answers

The equation is r(x) = 10x - 0.025x² where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.

For maximum r, r'(x) = 0

It becomes: r'(x) = [tex]10-0.025\times2x=0[/tex]

= [tex]10-0.5x=0[/tex]

[tex]x=\frac{10}{0.05}[/tex]

x= 200

Hence, r(200) = [tex]10\times200-0.025\times200^{2}[/tex]

Solving it we get,

r(200) = 1000

Hence, maximum revenue the company can earn with this toy is $1000.

If a student drinks 64 ounces of coffee each day, how many gallons do they drink per year? Round to the nearest tenth. Please help fast!!

Answers

Final answer:

A student who drinks 64 ounces of coffee each day consumes 182.5 gallons per year, after converting ounces to gallons (64 ounces/day × 365 days/year, then divided by 128 ounces/gallon).

Explanation:

To calculate the amount of coffee a student drinks per year in gallons, we first need to understand the relationship between ounces and gallons. We know that 1 gallon is equivalent to 128 fluid ounces. So, to find out how many gallons 64 ounces represent, we divide 64 by 128.

64 ounces per day × 365 days per year = 23,360 ounces per year.

Next, divide the total annual ounces by the number of ounces in a gallon:

23,360 ounces per year ÷ 128 ounces per gallon = 182.5 gallons per year.

Therefore, rounded to the nearest tenth, a student drinks 182.5 gallons of coffee each year.

The cheerleaders are practicing a dance routine in which all 36 of them need to be in a triangular formation. there will be two more cheerleaders in each row than the previous row. how many rows will be in the formation

Answers

If you start with 1 cheerleader in row A, then you'll have 3 cheerleaders in row B (add on 2), and then 5 cheerleaders for row C (add on another 2), etc etc.

Note how: 1+3+5 = 4+5 = 9 which is a perfect square. Also note that 36 is a perfect square.

Rule: The sum of the first positive n odd numbers is going to be equal to n^2. In the example of adding the first three odd numbers (1,3,5), we have n^2 = 3^2 = 9 as the sum

So as you can see, we'll have n = 6 rows because n^2 = 6^2 = 36 and

1+3+5+7+9+11 = 36

which is the sum of the first six positive odd numbers. So we'll have 1 cheerleader in row A, 3 in row B, 5 in row C, 7 in row D, 9 in row E, 11 in row F to have 6 rows total.

Final answer:

To determine the number of rows in the triangular formation, set up an equation and solve for x. The number of rows is 6.

Explanation:

To determine the number of rows in the triangular formation, we can set up a series of equations.

Let x be the number of rows.

The first row will have 1 cheerleader, the second row will have 3 cheerleaders, the third row will have 5 cheerleaders, and so on.

We can set up the equation: 1 + 3 + 5 + ... + (2x-1) = 36.

This is the sum of an arithmetic sequence with a common difference of 2. Solving for x, we get x = 6.

Therefore, there will be 6 rows in the formation.

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Can someone please help me im struggling with this problem :(

Answers

It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram. So, ∠1 ≅ ∠2 by the alternate interior angles theorem. It is also given that DC bisects ∠BDE, so ∠2 ≅ ∠3 by the definition of angle bisector. Therefore, ∠1 ≅ ∠3 by the transitive property of congruence (in which ∠1 ≅ ∠2, ∠2 ≅ ∠3, ∴ ∠1 ≅ ∠3 by transitive property of congruence)

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~Rise Above the Ordinary, Senpai

Joyce makes bracelets that she sells for $1.25 each. If she sells 40 of her bracelets, how much money will she make

Answers

1.25x40=50

joyce should make $50

In 8 minutes,josh was able to type 496 words.What's his typing speed in words per minute

Answers

62 words per minute. You would divide 8 from 496 since you need to find out how many words he can type in a minute. Your answer is 62 words per minute.

Hope this helped! :)

Is a reference angle always in the first quadrant or can it be in other quadrants? HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The reference angle is defined as the smallest angle that theta could make between the terminal arm and the x axis.

That definition limits the answer to your question as yes, it is in the first quadrant.

Convert to decimal expression 0.2777... To a fraction

Answers

Formula is

d = d(10^k+p - 10^k) / 10^k+p - 10^k

where d = the decimal;
k = number of the non repeating decimal digits; which in this case is one
p = repeating decimal digits which in this case is one


Final Answer for this question after simplifying is 5/18

If you offered an item of $17.85 if the seller states he normally sells the same item of $19.95 what percentage discount is he offering you

Answers

I'm pretty sure it's a 9.5% discount

A star track runner ran 315 feet in nine seconds. What was his average speed in feet per second?

Answers

315 / 9 = 35
35 feet per second

If Mckenna has 17 cups of flour how many cakes did she bake?

Answers

Well, how much flour is needed for one cake?

A cereal box that is shaped like a rectangular prism has a length of 5 centimeters, a width of 4 centimeters, and a height of 10 centimeters. What is the volume?

Answers

200 is the volume of the cereal box

What is [tex]15^{2}[/tex]

Answers

Amayo943,

Remember that with exponents you have to multiply the number of exponets by the same number it's in for example: [tex]1^2 = 1 \times 1[/tex] In this case you need to know that:

[tex]15^2 = 15 \times 15[/tex][tex]15 \times 15 = 225[/tex][tex]=225[/tex]

Therefore your answer is "225."

Hope this helps!

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