Solve the quadratic with quadratic formula:

4x^2 + 10x – 1 = 0

Answers

Answer 1

Answer:

[tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

4x² + 10x - 1 = 0

Step 2: Identify Variables

a = 4

b = 10

c = -1

Step 3: Find roots

Substitute in variables [QF]:                    [tex]\displaystyle x=\frac{-10\pm\sqrt{10^2-4(4)(-1)} }{2(4)}[/tex][√Radical] Exponents:                             [tex]\displaystyle x=\frac{-10\pm\sqrt{100-4(4)(-1)} }{2(4)}[/tex][√Radical] Multiply:                                  [tex]\displaystyle x=\frac{-10\pm\sqrt{100+16}}{2(4)}[/tex][√Radical] Add:                                        [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{2(4)}[/tex][Fraction] Multiply:                                   [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{8}[/tex][√Radical] Simplify:                                 [tex]\displaystyle x=\frac{-10\pm 2\sqrt{29}}{8}[/tex][Fraction] Factor:                                     [tex]\displaystyle x=\frac{2(-5\pm \sqrt{29})}{8}[/tex][Fraction] Simplify:                                  [tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]

Related Questions

need help asap please!!

Answers

Answer:

b = 39

Step-by-step explanation:

The two sides are equivalent so we can use this information to form an equation.

2b - 39 = b

-39 = -b

39 = b

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

You would like to buy new carpet for a room. The room us rectangular. The dimensions are 12 1/3 feet by 10 3/4 feet. How many square feet of carpet do you need?

Answers

It’s about 132.58 square feet also you should ask if your are rounding up or not if so it should be 132.60

Which Fraction(s) is equivalent to 3/12
3/10 1/4 1/2 2/5 4th grade IXL

Answers

Answer:

3/12= 4/16

1/4= 2/8

1/2= 3/6

2/5= 4/10

there are other possible answers but these are just ones i know

Can anyone please help me please

Answers

Answer:

this isnt spanish

Step-by-step explanation:

Between the 4 and 9 is 11
Under 4 is 15
Under 9 is 20

Determine which line best represents the line of best fit:
○ Line 1
○ Line 2
○ Line 3​

Answers

3 Is the right answer

what is 4 divided by 8464

Answers

0.00047258979206 .....

Answer:

4 divided by 8464 equals 0.00047258979

8464 divided by 4 equals 2,226

Step-by-step explanation:

                May I have brainiest I'm trying to level up!

                                  </3 PureBeauty

If ƒ(x) = x − 4 and g(x) = 3x + 5, find (ƒ + g)(x).

Answers

Answer:

[tex](f+g)(x)=4x+1[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x-4\text{ and } g(x)=3x+5[/tex]

And we want to find:

[tex](f+g)(x)[/tex]

This is equivalent to:

[tex]=f(x)+g(x)[/tex]

By substitution:

[tex]=(x-4)+(3x+5)[/tex]

Rearranging yields:

[tex]=(x+3x)+(-4+5)[/tex]

Combine like terms:

[tex]=4x+1[/tex]

Hence:

[tex](f+g)(x)=4x+1[/tex]

Answer:

please refer to the above attachment

[tex] \boxed{(4x + 1) \: is \: the \: right \: answer.}[/tex]

What is the vertex for y=4x^2 -12x+2

Answers

Answer:

( 3/ 2 , − 7 )

Step-by-step explanation:

Dont worry i checked my answer two times :)

A box contains balls of four different colors. There are 5 red balls, 7 green balls, 2 blue balls and 6 yellow balls. If you pick a ball at random, the probability it will be yellow is
a. 1
b. 1/4
c. 6
d. 6/20
e. 6/14

Answers

Answer:

d. 6/20

Step-by-step explanation:

There are 5 red, 7 green, 2 blue, and 6 yellow, with a total of 20. Since there are 6 yellow, you have a probability of 6/20.

The following statement is a good definition of...

Answers

Answer:

It is not converse since converse is if q, then p in a conditional statement. So I will say that is a truth table

Why is a sample used more often more than a population

Answers

Answer:

A number which describes a characteristic of a population. ... Uses a sample to find conclusions, analyzations, and probability about a population. Why is a sample used more often than a population? Because it is more difficult to get an accurate population where as a sample is smaller and easier to assess.

In Bayside, the temperature dropped 15 degrees overnight. What would 0 represent in this situation? Hint: Where did the temperature start from the beginning?
PLS HELP ASAP! I DON'T UNDERSTAND! GIVING BRAINLIEST!

Answers

Answer:A temperature that is below zero is negative. Integers are positive and negative whole numbers.

Step-by-step explanation:

Give me 5 star please

What is 2/3-5/9 in 5th grade math

Answers

Answer:

0.111111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

=2×3/3×3-5×1/9×1

=6/9-5/9

=6-5/9

=1/9

Please mark me brainliest.Ok

Two machines package items for shipping. One makes packages of 17 items. The other makes packages of 13 items. Suppose both machines start a new package at the same time. It takes one second
for each machine to pack one item. How many items does each machine
pack before they again start now packages at the same time?

Answers

Answer:18

Step-by-step explanation: cuz 1 = 7 so it is 18

I NEED ANSWER ASAP!!! is the mapping a fun or not a function

Answers

Your answer is Function

Answer:

function

Step-by-step explanation:

pls brainly give

Two cars depart an intersection.
One goes north.
The other goes west.
Each car travels at a constant speed of 30 miles per hour.
Assuming the roads go on forever, what will be the distance between the cars after 1 hours and 30 minutes in miles?

Answers

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

[tex]d^2 = 45^2 + 45^2[/tex]

[tex]d = \sqrt{45^2 + 45^2}[/tex]

[tex]d = 63.64[/tex]

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

The graph of a proportional relationship contains the point (4, 20). What is the constant of proportionality?

Enter your answer in the box.

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx . . . . . . where k is the constant of proportionality

Solving this equation for k, we get ...

  k = y/x

Filling in the given values (x, y) = (4, 20) gives ...

  k = 20/4

  k = 5

The constant of proportionality is 5.

Answer:

The answer is 1/5 =  0.2

Step-by-step explanation:

Determine the value of y.
Question 9 options:
A) 45°
B) 27°
C) 24°
D) 135°

Answers

Answer:135

Step-by-step explanation:all you have to do is to multiply 45 2 times and you will get the answer

Since y is 27, the value of angle 5y will be 135°.

What are supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees.

Given 5y and 45° angles are supplimentry angles

Two angles are called supplementary when their measures add up to 180 degrees.

Thus,

5y + 45 = 180

5y = 135

y = 27°

therefore, the value of angle 5y  will be 135° since y is 27.

Learn more about Supplementary angles here:

https://brainly.com/question/13045673

#SPJ2

Which explains why the graph is not a function?
5
4
3-
2+
O It is not a function because the points are not
connected to each other.
O It is not a function because the points are not related
by a single equation
It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
1 +
-5 -4 -3 -2 -11
1
2 3 4 5
X
-2
+
.
-3
-4
-5

Answers

Answer:

We conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-2           -5

-1            3  

1             -2  

3            0  

4            4

4            -2

It is clear that the values of x = 4, is repeated twice.

In other words, the input value x = 4 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Please help
I'm giving 99 points

Answers

Answer:

The box surface area is the one third of the first box she made

Step-by-step explanation:

A classroom contains 33 students. In the classroom, 6 students wear red shirts, 11 wear white shirts, 8 wear black shirts, and the remaining 8 students wear blue shirts. Mrs. Kulkarni randomly chooses a student to clean the whiteboard. Determine the probability that Mrs. Kulkarni selects a student wearing a red shirt. Enter your answer in the box.

Answers

Answer:

She picked white because the board is white

Answer:

24.24... percent chance

Step-by-step explanation:

Because 6/33 is 24 percent and 6 is the amount of red shirts

Tukey HSD Interpretation
Criterion: Interpret Tukey HSD results from SPSS output.
Data: Use your output from Problem Set 4.6.
Instructions: Identify where significant differences exist at the .05 level between the stress levels.

Answers

Answer:

The solution can be defined as follows:

Step-by-step explanation:

They also have a significant outcome in our instance. Its value of F is 1.773, with such a p-value of 0.212 achieved meaning (which is greater than the .05 alpha level). It means that the press with different levels of stress of the stress variable may not differentiate objectively.

Even so, we still do not know which one of the multiple mechanisms is significant. They realize the diff. To do just that, the results of the Tukey HSD test should be regarded.

HSD Tukey

Looking at the Multiple Correlations table below, you will see that mean values were created for the standard deviation among pairs of various stress varying concentrations (High - Low; High - Medium )

This can be seen on one-way ANOVA(1.773, p=.212), there's no statistically significant difference between the groups. A Tukey post hoc study has observed that the increase among medium and high stress is statistically significant, as well as the difference among low, medium, and high stress is important.

Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion for each of the following situations. In each case, assume the values are approximately bell-shaped. (Round your proportions to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) The proportion of SAT scores falling below 420 for a group with a mean of 500 and a standard deviation of 100. -0.8 Correct: Your answer is correct. (z-score) (approximate proportion)

Answers

Answer: uhhhh what

Step-by-step explanation:

Write a unit rate word problem. Please include the solution.

Answers

Answer:

bob goes 28 miles in 2 hours while traveling to the store. how many miles does he drive per hour. the answer is 14 miles per hour

Use the table to write a proportion.

Please help. Ty!

Answers

Answer:

[tex]21.\bar{3}[/tex]

Step-by-step explanation:

Assuming a constant ratio, we can set up the following proportion:

[tex]\frac{6}{8}=\frac{16}{m}[/tex].

Cross-multiply to solve:

[tex]6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}[/tex]

The quotient of dividing a number by 4 is 5. Find the number.​

Answers

Answer: 20

Step-by-step explanation:

A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.

Therefore, x/4 = 5

x = 4 × 5

x = 20

The number is 20

Over the holiday break, Ms. Horton baked a ham that was 19 1/4 pounds.
By the end of the night there was 6 7/10 pounds left. How much turkey was
eaten that night?

Answers

Answer:

12 11/20

Step-by-step explanation:

the answer to the question is 12 11/20

Please I really need help on this one

Answers

Answer:

2.5ft

Step-by-step explanation:

d=2r

r=1/2d

r=1/2*5ft=2.5 ft

I will give brainiest to whoever answers correctly !!

Answers

Answer:

275 days

Step-by-step explanation:

From August 21 to May 23, there is 275 days!

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