Answer:
[tex]x=-3\pm\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x² + 6x + 4 = 0
a = 1
b = 6
c = 4
Step 2: Find x
Substitute: [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(4)} }{2(1)}[/tex]Evaluate: [tex]x=\frac{-6\pm\sqrt{36-4(1)(4)} }{2(1)}[/tex]Multiply: [tex]x=\frac{-6\pm\sqrt{36-16} }{2}[/tex]Subtract: [tex]x=\frac{-6\pm\sqrt{20} }{2}[/tex]Simplify: [tex]x=\frac{-6\pm2\sqrt{5} }{2}[/tex]Factor: [tex]x=\frac{2(-3\pm\sqrt{5}) }{2}[/tex]Simplify: [tex]x=-3\pm\sqrt{5}[/tex]11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
Answer:
x = - 1
Step-by-step explanation:
Given
f(x) = x³ + x² + x + 1
If x = 1 is a factor then f(1) = 0
f(1) = 1³ + 1² + 1 + 1 = 4 ≠ 0 , thus x = 1 is not a zero
f(- 1) = (- 1)³ + (- 1)² + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0
Thus x = - 1 is the only zero
1/3 gallon of apple juice for 2.44 how much money for each gallon
Answer:
7.32
Step-by-step explanation:
2.44 times 3
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
Witch expression is equivalent to 5(8+9)
Answer:
85
Step-by-step explanation:
Use distributive rule.
a(b + c) = a*b + a*c
5(8 + 9) = 5*8 + 5*9
= 40 + 45
= 85
Determine the rate of change for the data in the table below. Write The rate as a unit rate.
Answer:
2/6
Step-by-step explanation:
I'm not sure if it's this but there is 2 more balloons added to the left column and 6 more added to the right column.
please help me :(((( will mark brainlinest
Give an example of an equation for a linear relationship that has a faster rate of change than the one in the graph.
Answer:
One such equation is y = -5x.
Step-by-step explanation:
Let's figure out the equation of the graph.
We see two points (1, -1) and (0, 1).
The equation is y = -2x + 1.
So an equation with a faster rate of change is y = -5x.
Answer:
-5 lol i tried srry
Which number can fill in the blank below?
4.3 < _________ < 4.5
A.440%
B.44%
C.4.4×10^1
D.4.4%
Answer:
A
Step-by-step explanation:
440 percent is the same thing as 4.4
Factoring trinomials
Select two for each
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factors of a quadratic polynomial.
1.) x^2 -7x-18 = (x-9) (x+2)
2.) x^2-x-42= (x-7) (x+6)
How many times does 50 go into 2769
Answer:
There are 55 times 50 in 2769.
.(02.03 MC) Solve for x: |4x + 12| = 16 (5 points) ??.?.?.?.?
Answer:
x = 1 , − 7
Step-by-step explanation:
Find all solutions for x by breaking the absolute value into the positive and negative components.
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=−54, y-intercept = 2
slope=45, y-intercept=−1.6
slope=−45, y-intercept=−1.6
slope=54, y-intercept = 2
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
Answer: Slope = 5/4
y-intercept = 2
Step-by-step explanation:
We have the table:
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
We want a linear relationship to represent this table.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case we can select any pair of points, for example, i will choose the first two:
(0, 2) and (2, 4.5)
Then the slope is:
a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4
Then our line can be written as:
y = (5/4)*x + b
To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.
2 = (5/4)*0 + b
2 = b
Then our equation is:
y = (5/4)*x + 2.
Slope = 5/4
y-intercept = 2
Answer:
d
Step-by-step explanation:
I took the k12 test
HELP PLEASE! WILL GIVE BRAINLESIT
Answer:
I think its bachelors, masters then doctorete
Step-by-step explanation:
Answer:
The last one is bachelors the middle is master and the top is doctorate
Step-by-step explanation
1.doctorate
2.master
3.bachelors
A college student has $4,032 he earned from working during the summer. If he earned $288 per week, how many weeks did he work? Complete the division problem to find the quotient. Only enter the number part of your answer, no labels.
Answer:14 weeks
Step-by-step explanation:288 x 14 = 4032
Sandra's bird feeder holds 3/5 of a cup of birdseed. Sandra is filling the bird feeder with a scoop that holds 1/10 of a cup. How many scoops of birdseed will Sandra put into the feeder?
What is the largest number of three consecutive integers whose sum is 42? 12 13 15 17
show complete working format please
Answer:
Three consective even integers can be represented by x, x+2 x+4 the sum is 3x+6, which is equaled to 108
Step-by-step explanation:
jus do tha math youll be ok
if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK
Answer:
The measure of JHK is 25 degrees
Step-by-step explanation:
If GHI is equilateral, it means each of the angles are equal to 60 degrees
Thus;
7x - 31 = 60
7x = 60 + 31
7x = 91
x = 91/7
x = 13 degrees
The measure of JHK IS x + 12
simply insert the value of x here
Angle JHK = 13 + 12
Angle JHK is 25 degrees
Answer: 25
Step-by-step explanation:
WRITE 0,000003 56 IN SCIENTIFIC NOTATION
Answer:
3.56X10^-6
Step-by-step explanation:
In converting numbers to scientific notation, simply move the decimal point of the number until the numerical coefficient is greater than 1 but less than 10. Be sure to take note of the following:
1. The numerical coefficient.
2. Number of times we move the decimal point. It will be the exponent with the base of 10.
3. The direction we take in moving the decimal point. If the direction is to the right, take the negative sign for the exponent. If the direction is to the left, take the positive sign for the exponent.
Here, we move the decimal point of 0.00000356 to the right 6 times. So, we have now 3.56X10^-6.
Can you solve this problem please im having trouble with this question
Answer:
The answer is 3.7
Step-by-step explanation:
Use cross multiplication to set up the equation then simplify,
17y = 63
y = 63/17
y = 3.705
Round to the nearest tenth.
Solution is y = 3.07
Good luck!
Answer:
≈3.71
Step-by-step explanation:
To get from 17 to 9, you would divide by 17 and then multiply by 9, so in order to find y, you would multiply 7 by 9/17:
7 * 9/17
= 63/17
Now, you just have to simplify. That could be written as 3 12/17 if you turn it into a proper fraction, or if you turn it into a decimal, you would get about 3.71 (rounding to the tenths).
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?
Answer:
300 students
Step-by-step explanation:
There are two ways to solve this question.
Way Number 160 is 20% of the total students
20÷100= 0.2
60÷0.2=300
Therefore there are 300 students
Way Number 260 is 20% of the total students
60/20 = x/100
x= 60*100÷20
x= 6000÷20
x= 300
Therefore there are 300 students.
0.0508 written in 2 significant
figures is?
0.05
0.0008
i think this is what u are talking about right
if not im srry i don't now
A family paid $18,000 as a down payment for a home. If this only represents 12% of the price of the home, find the full price of the home.
Answer:
$150,000 (pls mark brainliest if possible)
Step-by-step explanation:
12% = $18,000
1% = $18,000/12 = $1,500
100% = $150,000
Answer:
20160
Step-by-step explanation:
If I am correct give me brainliest :)
12% of 18000 is 2160 and 18000+2160=20160
Combine like terms to write a simplified expression:
12p + 11 - 5p + 3
Answer:
7p + 14
Step-by-step explanation:
add 12p and -5p to get 7p
then add 11 and 3 to get 14
your equation will be 7p + 14
here is the answer
7p + 14.
As an estimation we are told £3 is €4. Convert £18 to euros
So far this year, the average monthly revenue at the Somerville Times is $72,165. That is 25% less than the monthly average was last year. What was the average last year?
Answer:
The average last year was $96,220.
Step-by-step explanation:
From the information provided, you know that the average monthly revenue at the Somerville Times represents 75% of last year's monthly average and you can use a rule of three to find the value that represents 100%:
72,165 → 75%
x ← 100%
x=(72,165*100)/75
x=96,220
According to this, the answer is that the average last year was $96,220.
I need help ASAP!!!!
Answer: 3/8
ưhen x = 3
=> [tex]y=3(\frac{1}{2})^{3}=3.\frac{1}{8}=\frac{3}{8}[/tex]
Step-by-step explanation:
calculate the total surface area of a cone with a base radius of 6cm and slant height 10cm. I need the working please
Answer:
301.59cm²
Step-by-step explanation:
Solution
A=πrl+πr2=π·6·10+π·62≈301.59289cm²
hope dis helped
Who runs faster Mary or Beth?
Answer:
You have to add a picture to the question but for guessing im just say mary lol
2(4x+1) - 5x + 2 = 3x + 4 Help Please :)
Answer: All real numbers are solutions
Step-by-step explanation:
first lets distributive the 2(4x+1) to get 8x+2 because 2*4x= 8x and 2*1= 2
now the equation is 8x+2-5x+2= 3x+4
(COMBINE LIKE TERMS)
8x-5x=3x
2+2= 4
now the equation is 3x+4= 3x+4 (this means all real nubers are solutions)
Due in 3 mins !! 3 questions Triangle ABC, is rotated 90° counter clockwise about the origin to make triangle A'B'C. Drag and drop the coordinates to describe the transformation !! ( picture!)
Answer:
A'=(3,-2) B'=(-1,-4) C'=(-5,-3)
Step-by-step explanation:
90 degrees counterclockwise uses (-y,x) so you just plug in the negative y value in the x spot and the x value in the y spot
