Solve the equation for all real solutions in simplest form.
3z^2+17z+16=0

Answers

Answer 1

Answer:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]

Step-by-step explanation:

Use the quadratic formula to solve for all real solutions.

Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Plug in and solve:

[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]

Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]

and

[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]


Related Questions

CAN SOMEONE PLEASE HELP ME WITH THIS!!!

Answers

Answer:

the photo is black..i cant see the question...

Step-by-step explanation:

Answer:

ok, but there's nothing on the screen, I think you linked the wrong document.

Step-by-step explanation:

Give one verbal expression (VE) and its equivalent algebraic expression (AE).
Example: VE: my age increased by half the age of Ellie AE: x + 1/2y

Answers

Answer:

A few examples:

VE: Three more than two times the temperature.

AE: 2x+3

VE: The money I have decreased by two thirds of the money you have.

AE: x - (2/3)y

VE: The number of friends I have increased by four times the amount of friends you have.

AE: x + 4y

Let me know if this helps!

Here is my house number on Brookview Way. I hope to see you on
Valentine's Day!
CAN SOMEONE HELP ME

Answers

Answer:

54318

Step-by-step explanation:

my teacher told me the numbers are 54,3 and 18

Answer:

dont tell people where you live

Step-by-step explanation:

I need help with this points if right

Answers

Answer:

A

Step-by-step explanation:

90-49=41

41-3=38

49+(38+3)=90

Help me pls pls pls pls

Answers

J. 4y + 8

4(y + 2). <—— multiply 4 by what’s in the parentheses

4 • y = 4y
4 • 2 = 8
The answer is J. 4y+8

Do you like penguins? btw does 1-5=3​

Answers

Answer:

I like looking and drawing a penguins

Step-by-step explanation:

And no 1-5 is not 3, it is -4

What is 96 divided by 7 please help is is due by midnight

Answers

Answer:

13.7142857143

Step-by-step explanation:

so just 13

Plz help I will give brainliest whoever answers first correctly

Answers

Answer:

I like your profile pic

Step-by-step explanation:

Solve
1
5
X
I’ll mark brainleist

Answers

Answer:

[tex]\frac{9}{5}[/tex] or [tex]1\frac{4}{5}[/tex]

Step-by-step explanation:

First add 1/5 from both sides to get 2/3x > 6/5. This can then be simplified to x > 18/10. 18/10 is the same as 9/5. And 9/5 is also 1 4/5.

Hope it helps!

Answer:

[tex]x>\frac{9}{5}[/tex]

Step-by-step explanation:

To reduce any confusion later on in the problem the first step should getting the fractions to have an equal denominator, this can be done by finding the LCF, or Least Common Factor.

In this case the least common factor is [tex]15[/tex], [tex]3[/tex] × [tex]5 = 15[/tex], and [tex]5[/tex] × [tex]3 = 15[/tex]; whatever you do to the denominator has to be done to the numerator

[tex]\frac{2}{3}[/tex] × [tex]\frac{5}{5} = \frac{10}{15}[/tex]            [tex]\frac{1}{5}[/tex] × [tex]\frac{3}{3} =\frac{3}{15}[/tex]

Now that the denominators are equal, lets input the values into the original equation:

[tex]\frac{10}{15} x-\frac{3}{15} >1[/tex]

add [tex]\frac{3}{15}[/tex]  to both sides, to isolate the variable

[tex]\frac{10}{15}x > 1\frac{3}{15}[/tex]  [tex]or \frac{18}{15}[/tex]  

divide

both sides by [tex]\frac{10}{15}[/tex], when you divide fractions you multiply  by the reciprocal of the divisor, then you multiply the numerators by the numerators and the denominators by the denominators. [tex]18[/tex] × [tex]15[/tex][tex]=270[/tex] , [tex]15[/tex] × [tex]10=150[/tex]

[tex]x>\frac{18}{15}[/tex] × [tex]\frac{15}{10}[/tex] ⇒  [tex]x>\frac{270}{150}[/tex]

[tex]270[/tex] and [tex]150[/tex] have a GCF, or Greatest Common Factor of [tex]30[/tex] which simplifies the answer to:

[tex]x>\frac{9}{5}[/tex]

1. what is 13/20 as a decimal and a percent?
2. what is 9 1/5% as a decimal and a fraction?
__
3. what is 0.16 as a percent and a fraction?
PLZ HELPPPP

Answers

1. 0.65 65%
2. 0.095 95/1000=19/200
3. 16% 16/100=4/25

3 kitchen assistants can prepare 10kg of vegetables in 30 minutes. How long would it take 30 assistants to prepare the same amount?​

Answers

Answer:

It will take  4.5  minutes.

Step-by-step explanation:

Paige is a graphic designer who makes logos for companies. She makes a design for a logo, which is in the shape of a square. The design of this logo is drawn on the coordinate plane as square ABCD. She then dilates this logo by a scale factor of 2, forming square A'B'C'D'. She realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form A"B"C"D". What are the coordinates of vertex A' and vertex C"?

Answers

Answer:

c

Step-by-step explanation:

c because trust me i did it before im in 10th grade now

What best describes fraction

Answers

Answer:

a numerical quantity that is not a whole number

Step-by-step explanation:

y
is directly proportional to
x
2
.
If
y
=
20
when
x
=
2
find
x
when y=45

Answers

Answer:

x=4.5

Step-by-step explanation:

so when y=20 and x=2, y is 10 times x so, 45/10=4.5

Answer:

3

Step-by-step explanation:

i said by accident but hegarty says it's right

Find m 1 and m 2 in the diagram

Answers

Answers:
M for 1 is: 114
M for 2 is: 34

Why?
First you need to find out what the angle is for the corner to the left of angle 1 to do so

180-135 which equals 45

then to find on you take 180 (the sun of all interior angles in a triangle equal 180) and subtract all the angles give...
180-21-45= 114 (which makes since because angle one is obtuse and so is it)
Now for angle to you need to find the corner that is next to angle 1 to do so you do...

180-114 (because angle equals 114) this equals 66

Then you do 180-66-80 to get angle 2 which equals 34

Hope this helps :D

why every comment but don't ​

Answers

Answer:

thanks

Step-by-step explanation:

where is the closest chiken dealler i can find my racoon i think hes dateing a duck PLZ HELP im blind and have no limbs

Answers

Answer:

Step-by-step explanation:

walk


Fog= f(g(x))
Domain has to be (-oo,x)U(x,oo)

Answers

the domain is
[-2,3]
not ypur answer

A small university has 200 first-year students. Historically at this university, 88% of first-year students graduate in four years. Assume that whether or not one student graduates is independent of whether or not another student graduates. Let X represent the number of first-year students who graduate in four years. What are the mean and standard deviation X?

Answers

Answer: c is the answer . 176, 4.60

Step-by-step explanation:

just trust me bro

For each expression, use a property to write an equivalent expression. Tell which property you used.

1. (ab)c =

2. 3y + 4y =

3. 6 x 7 =

Answers

Answer:

1. is the answer

Step-by-step explanation:

Because i did the test

Which shape has no parallel sides?

Answers

Answer:

The pink one.

Step-by-step explanation:

I hope this helps :)

An it that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.​

Answers

The answer is -16.5%

plz help.............

Answers

Answer: triangles are similar.

Step-by-step explanation:

Givn : OK = 3, OJ = 30, KN = 1, JM = 3#

Angle O is common in both the triangles.

Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.

That means

That means the three angles of triangle OKJ are equal to the corresponding three angles of triangle ONM.

Hence the to triangles are similar.

What is the area of an equilateral triangle with perimeter 24 inches?

Answers

divide the perimeter by 3 to get 8 then use the equation for the area of a triangle (a= BH1/2) and your answer is 32

Can someone please simplify this for me?

Answers

Answer:

3x√7y

Step-by-step explanation:

In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)

Answers

Answer:

$1.4 B per year

Step-by-step explanation:

Find the mean of the data 18,36,24,36,30,36

Answers

Answer:

30

Step-by-step explanation:

To calculate the mean, add up all the numbers in the data and divide the sum by the number of numbers in the data.

(18+36+24+36+30+36)/6 = 30.

Answer:

30

Step-by-step explanation:

To find mean, add up all the numbers, then divide by how many numbers there are:

18 + 36 + 24 + 36 + 30 + 36/6

180/6 = 30

Hope this helps :)

PLS HELP getting timed

Answers

DA+AL=180
4x+5x-3=180
9x=183
x=20.34 (approximately)
AD=4x
4(20.34)=81.36
Answer: 81.36
*remember, straight lines always equal 180

Consider the following set of 19 data values:

5 6 6 9 10 4 2 5 7 6 7 3 5 5 5 4 9 2 10

Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.

Mean =

Median =

Mode=

Answers

Answer:

mean = 5.4

median  = 5

mode = is the number that appears the most answer = 5

Step-by-step explanation:

mean

5+6+6+9+10+4+2+5+7+6+7+3+5+5+5+4+9+2+10  =       .........   / 19 = 5.4

median

2 2  3 4 4 5 5 5 5 5 6 6 6 7 7 9 9 10 10 then find the middle between these = 5

Turn this into a formula and step by step on how to solve it.

Answers

72 is the correct answer i think!
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