Solve each of the following quadratic equations.

a. x^2-8x+ 15 = 0

b. 2x^2 - 5x - 6 =0​

Answers

Answer 1

Answer:

[tex]a. \: \: x = 3 \: \: and \: 5[/tex]

[tex]b. \: \: x = \frac{5± \sqrt{73} }{4} [/tex]

Step-by-step explanation:

[tex]a. \: \: \: x^2-8x+ 15 = 0 \\ {x}^{2} - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5[/tex]

[tex]b. \: \: 2x^2 - 5x - 6 =0 \\ x = \frac{5± \sqrt{73} }{4} [/tex]

Hope it is helpful....

Related Questions

if x and y are two overlapping subsets of a universal set U, write the relation between n(U),n(X U Y), and n(xūy).​

Answers

Answer:

the relation between them are

n(U) = n(X U Y) + n(xūy).

sq root 30
A whole number, natural number, integer
B rational
C irrational
D whole number, integer, rational

Answers

Answer:

good luck

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

this is the answer

it is irrational because it cannot be expressed in a ratio of two integers

please give me brainliest .

Solve the following equation with variables on both sides and one side only:
[tex]8x + 3 - 3x = - 52[/tex]

Answers

Answer:

How to solve your question

Your question is

8+3−3=−52

8x+3-3x=-528x+3−3x=−52

Solve

1

Combine like terms

8+3−3=−52

}=-528x+3−3x=−52

5+3=−52

−52

2

Subtract 

3

33

 from both sides of the equation

5+3=−52

5x+3=-525x+3=−52

5+3−3=−52−3

5x+3

5x+3−3=−52−3

3

Simplify

Subtract the numbers

Subtract the numbers

5=−55

Answer:

x= -11

Step-by-step explanation:

8x + 3 - 3x = - 52

8x - 3x = - 52 - 3

5x = -55

x = -11

A football coach needs to divide 48 players into two groups. He wants the ratio of players in group 1 to players in group 2 to be 1 to 3. How many players in group two?

Answers

Answer:

45

Step-by-step explanation:

Answer: 5 players go in two groups

Can someone help be with number 3 plzz

Answers

The baker makes 54 Loaves, and it takes 1 and 1/4 to make 18 loaves. This means the baker needs 3 and 3/4 cups of flour because 18 goes into 54 three times.

Eight subtraced from the product of seven

Answers

Answer:

7x - 8 hope this helps and have a great day

Step-by-step explanation:

Preparing a glucose solution In a certain medical test
designed to measure carbohydrate tolerance, an adult
drinks 7 ounces of a 30% glucose solution. When the test is
administered to a child, the glucose concentration must be
decreased to 20%. How much 30% glucose solution and
how much water should be used to prepare 7 ounces of
20% glucose solution?

Answers

3.5 ounces hope this helps

HELP!!! Will mark brainliest!!

Answers

Step-by-step explanation:

BDC and ACD are complementary with each other. that means together they cover the full 180 degrees of the half circle that can be drawn on one side of a flat line.

180 = 11x + 25 + 4x + 5 = 15x + 30

150 = 15x

x = 10

BDC = 11x + 25 = 11×10 + 25 = 110 + 25 = 135 degrees

ACD = 4x + 5 = 4×10 + 5 = 40 + 5 = 45 degrees

I am the only toolkit function that has a start and end number for the range. I am also the only that is cyclic, meaning I repeat over and over.


Which toolkit function am I?

Answers

The Toolkit function that has a start and end number for the range and is also cyclic is ; The constant Function ( i.e. f(x) = a )

There are about (9) toolkit functions and some of these toolkit functions :

Constant function Cube root function Square root functionreciprocal squared functionreciprocal functioncubic and quadratic function Absolute value function

The common characteristics between the various toolkit functions is that they all have undefined domains ( i.e. ( - ∞ , ∞ ) or ( -∞, 0 ), and undefined ranges as well.  while the only Toolkit function with a defined range is the Constant function { a, a }

The range for a Constant function starts and ends with the value of the given constant. i.e. { a, a }. while other functions have undefined range values.

Hence we can conclude that the Toolkit function with a start and end number for the range is the Constant function.

Learn more : https://brainly.com/question/17348165

Answer:

The constant Function

can yall pls go to my other question before this one plss!!​

Answers

Answer:

Ok

Step-by-step explanation:

Write and equation of the line that passes through the point (2,-6) and is parallel to the line x-2y=8

Answers

Answer:

y=0.5x-7

Step-by-step explanation:

x-2y=8

2y=x-8

y=0.5x-4 m1=0.5

m1=m2=0.5 - the slope for parallel lines are equaly

y=m2x+b

-6=0.5*2+b

b=-7

y=0.5x-7

(Please help) Solve.

-4+4(-8+2n) = -37+8n

Answers

Answer:

No solutions for n

Step-by-step explanation:

Distribute the 4 to the -8 and the 2n

-4 + 4*-8 + 4*2n = -37 + 8n

Multiply

-4 - 32 + 8n = -37 + 8n

Subtract 8n on both sides

-4 - 32 = -37

Subtract on the left

-36 = -37

No solutions because -36 does not equal -37

Answer:

No solution

Step-by-step explanation:

-4 + 4(-8 + 2n) = -37 + 8n

-4 - 32 + 8n = -37 + 8n

-36 + 8n = -37 + 8n

8n - 8n = -37 + 36

0 = -1

Since 0 does not equal 1, this is a “No Solution”

A number line shows 1 1/5, −2 2/5, and −1 3/5. Which statement is NOT true?

Answers

Answer:

The answer Is A 1 1/5 < -2 2/5

Step-by-step explanation:

It says that this statement is true because 1 1/5 is to the left of -2 2/5 on the number line but it is actually to the right because -2 2/5 is negative while 1 1/5 is positive therefore making it larger and the correct statement would be that    1 1/5 > -2 2/5

where do i start this equation x(x-3) when x=7 ?

Answers

Answer:

28

Step-by-step explanation:

when x = 7,

Substituting value of x in the given equation,

x(x-3)

=> 7(7-3)

=> 7(4)

=> 28

Answer:

28

Step-by-step explanation:

x(x - 3) where x = 7

Step 1. Substitute x for 7

7((7) - 3)

Step 2. Subtract

7(4)

Step 3. Multiply

28

Please help me on this question

Answers

Answer:

a. 1

b. 3

c. 9

Step-by-step explanation:

all you have to do is plug in 2 to the equations as x and solve for y!

a.

y = 7 - 3(2)

y = 7 - 6

y = 1

b.

y = (2)^2 -1

y = 4 -1

y = 3

c.

y = (18/(2))

y = 9

lmk if you need more of an explanation but that's pretty much all the work you need i think!! :)

A. 1
B .3
C. 9
Because I did the work

Solve the two-step equation and identify the steps.

1.4x + 6.1 = –7.9

1. The first step is to
on both sides.
2. The second step is to
on both sides.


The solution is x =
.

Answers

Answer:

x=-10

Step-by-step explanation:

The first step is to subtract 6.1 on both sides:

1.4x=-14

The second step is to divide 1.4 on both sides:

x=-10

Hope this helps

Answer:

1. The first step is to subtract 6.1 on both sides

2. The second step is to divide 1.4 on both sides

The solution is x = -10

4.
Find the number of real number solutions for the equation. x2 – 4x + 4 = 0

A. cannot be determined
B. 2
C. 1
D. 0

Answers

X=2
Do you need me to explain it it is this good?

plz just solve the questions 3 and 4 only thank you brainiest will be given out to the correct answer

Answers

Answer:

3. the proportional relationship is that for every cup of blue paint, you need 5 cups of yellow paint. so the relationship between the yellow and blue paint that keeps it proportional is 5 time the cups of blue paint, is how many cups of yellow paint you need

4. constant of proportionality is 5 because for every cup of blue paint, you need 5 cups of yellow paint:

2 * 5 = 10

1 * 5 = 10

3 * 5 = 10

Step-by-step explanation:

Adam is taking a multiple choice test. His grade is given by the
equation y = 200 – 4x, where y represents his final score and a
represents the number of questions he got wrong. What could the
number 4 represent in the equation?

Answers

4 is the point of a true question in the test

17. What unit of time will make the statement true?
seconds + seconds x day = seconds ?

Answers

Answer:

seconds could be anything but day was 0 then there would be no seconds, right??? that would basically be true.

Step-by-step explanation:

What is the mean of the given data? 5, 11, 14, 10, 8, 6

Answers

Answer:

mean=9

Step-by-step explanation:

First add all the numbers

5+11+14+10+8+6

54

Then divide the total from the number of scores

54/6

9

Hope u got it

If you have any question just ask me

What is the domain in roster notation(numerical order) x= -2,-1,1,3,3 y=3,-3,0-3,3

Answers

Answer:

Domain is {x|x = -2, -1, 1, 3}

Step-by-step explanation:

I. When domain is x.value and renge is y.value

Got more question or something to discuss? leave comment below

Find the 11th term of the geometric sequence 10,20,40

Answers

Answer:

10, 20, 40

scale factor = x2

10, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120, 10240

answer = 10,240

Answer:

10,240

Step-by-step explanation:

First, we find the constant ratio by dividing a number by the previous number.

r = 40/20 = 2

Now we apply the formula for term a_n of a geometric sequence.

a_n = a_1 * r^(n - 1)

a_11 = 10 * 2^(11 - 1)

a_11 = 10 * 2^10

a_11 = 10,240

2 17× 415 find this answer

Answers

Answer:

[tex]217 \times 415 \\ \\ \\ \\ \\ \\ \\ = 90055[/tex]

it's was helpful to you ❣️❣️

217 X 415 = 90055
Hope this was helpful, please like :))

2 4/5 3.5 4 1/4 5.3 in order greatest to least

Answers

Answer:

5.3, [tex]4\frac{1}{4}[/tex], 3.5, [tex]2\frac{4}{5}[/tex]

Step-by-step explanation:

to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours

Answers

Answer:

y=6,95x+35

Step-by-step explanation:

y=6,95x+35

y=6,95*5+35=69,75 for 5 hours

for 6 hours y=76,7

for 7 hours y=83.65

for 8 hours y=90,6

lemme know if its right <3.

Name the segments in the figure

Answers

Answer:

perpendicular

Step-by-step explanation:

Estimate the measure of this angle within 15°.

Answers

Guess what I hate i ready and I don’t know the answer sorry

helpppppppppppppppppppppppp im not smart

Answers

Answer:

a) 6m

b) m-2

c) 5(m-2) = 5m-10

d) 6m+5m-10=56

11m-10=56

e) 11m=66

m=6

maple = $6

apple = 6-2 =$4

IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE SCHOOL HAVE ?
A. 600 B. 800
C. 200 D. 1000

Answers

Answer:

There are 600 students in this school.

Step-by-step explanation:

Let p represent the total population of the school.

Then (1/3)p represents the number of students who like math.  Subtracting this (1/3)p from p gives an expression representing those who do not like math:  

p - (1/3)p = (2/3)p

400 students do not like math, so (2/3)p = 400.

Solve this for p by multiplying both sides by (3/2):

(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.

There are 600 students in this school.

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