Solve this quadratic equation using the quadratic formula.
3x 2 + 5x + 1 = 0
Answers
Solution
x=\frac{-5 \pm \sqrt{13}}{6}
Related Questions
The table of values for quadratic function g is shown below.
g(x)
-2
30
16
O
4
6
30
If 1 Is a solution to g(x) = 0, what is the other
solution?
A
B
C
D
-2
Answers
Answer:
The table of values for a quadratic function g is shown below.x= -3, -2, -1, 0, 2, 3, 4, 6 g(x)= 48, 30, 16, 6, -2, 0, 6, 30 if 1 is a solution ...
1 answer
· 5 votes: try with 6 !!!!!!!!!!!!
Step-by-step explanation:
I ate of a box of donuts. My friend ate 1/3 more than I did. What fraction of the box of donuts did we eat in all? i will give brainless!
Answers
Answer:
2 1/3
Step-by-step explanation:
if you ate a whole box, (1) and your friend ate 1/3 MORE than you, it would be: 1 + 1 1/3. hope this helped :)
Please help me. I am struggling. Question is in image.
Answers
Answer:
a = -15 when you add -28 f by 13 f
b -51 f lower if you subtract st Louis by chicago
One year, sales increased by 15%. The following year sales increased by 18%. Calculate the overall percentage increase in sales.
Answers
Answer:
35.7%
Step-by-step explanation:
Sales increase in Year 1
Let the original sales be xSales has increased by 15%Therefore, new sales will be :Original sales + Original sales x 15%⇒ x (1 + 15%)⇒ x (1 + 0.15)⇒ x (1.15)⇒ 1.15xSales increase in Year 2
From Year 1, it has increased by 18%New sales will be :Year 1 sales + Year 1 sales x 18%⇒ 1.15x (1 + 18%)⇒ 1.15x (1 + 0.18)⇒ 1.15x (1.18)⇒ 1.357xOverall Increase
Year 2 sales - Original sales / Original sales1.357x - x / x0.357x / x0.357Decimal to % ⇒ x 100%0.357 x 100%35.7%Let the sales be known as "a".
Given statement:
One year, sales increased by 15%.
This can be written as:Year 1 = a + (a × 15%)Step-1: Evaluate the percentage⇒ Year 1 = a + (a × 15%)⇒ Year 1 = a + (a × 15/100)Step-2: Multiply the terms inside the parentheses⇒ Year 1 = a + (a × 15/100)⇒ Year 1 = a + (15a/100)Step-3: Open the parentheses⇒ Year 1 = a + (15a/100)⇒ Year 1 = 100a/100 + 15a/100Step-4: Add the like terms;⇒ Year 1 = 100a/100 + 15a/100⇒ Year 1 = 115a/100Next year (Year 2):Given statement:
The following year sales increased by 18%.
This can be written as:Year 2 = Year 1 + (Year 1 × 18%) Step-1: Substitute the amount of sales in year 1:⇒ Year 2 = Year 1 + (Year 1 × 18%) ⇒ Year 2 = 115a/100 + (115a/100 × 18/100)Step-2: Simplify the fractions in the parentheses:⇒ Year 2 = 115a/100 + (115a/100 × 18/100)⇒ Year 2 = 115a/100 + (23a/20 × 9/50)Step-3: Multiply the fractions in the parentheses:⇒ Year 2 = 115a/100 + (23a/20 × 9/50)⇒ Year 2 = 1150a/1000 + (207a/1000)Step-4: Open the parenthesis:⇒ Year 2 = 1150a/1000 + (207a/1000)⇒ Year 2 = 1150a/1000 + 207a/1000Step-5: Add the fractions:⇒ Year 2 = 1150a/1000 + 207a/1000⇒ Year 2 = 1357a/1000Overall percentage increase:Formula:
Overal percentage increase = (Sales in year 2 - Original sales) × 100
Step-1: Substitute the values in the equation:⇒ Overal percentage increase = (Sales in year 2 - Original sales) × 100⇒ Overal percentage increase = (1357a/1000 - a) × 100Step-2: Simplify the expression in the parentheses:⇒ Overal increase = (1357a/1000 - a) × 100⇒ Overal increase = (1357a/1000 - 1000a/1000) × 100⇒ Overal increase = (357a/1000) × 100Step-3: Open the parentheses and simplify:⇒ Overal increase = (357a/1000) × 100⇒ Overal increase = 357a/10 ⇒ Overal increase = 35.7aStep-4: Determine the overal increase in percentage:⇒ Overal increase = 35.7a⇒ Overal percentage increase = 35.7%Therefore, the overal increase in percent is 35.7%.
pls help this is past due and I have no idea on how to do it
Answers
Answer:
42.3
Step-by-step explanation:
Substitute in values[tex]3.6\times (3)+4.5\times (7) = 10.8+31.5=42.3[/tex]what is p to the power of 2
Answers
Answer:
It really depends if there is more work with this, but of it is just p to the power of two. it would be p².
Find the equation of the line shown (first to do gets brainlist)
Answers
Answer:
y = -2x + 9
Step-by-step explanation:
What is the mean of this set: (2, 6, 7, 9, 9, 9}? O 6 O 7 8 9What is the mean of this set: (2, 6, 7, 9, 9, 9)? O 6 O 7 C 8 C 9
Answers
The ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
How to find the mean of a data set?Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
For this case, we're given the data set 2, 6, 7, 9, 9, 9
There are total 6 observations in this data set.
The sum of these observations is:
2+6+7+9+9+9 =42
Thus, we get:
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{42}{6} = 7[/tex]
Thus, the ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
Learn more about mean here:
https://brainly.com/question/16118626
#SPJ1
Answer:
b. 7
Step-by-step explanation:
The graph of the revenue function f(x) = -0.07x² +3.5x
is used to determine revenue in hundreds of thousands
of dollars, where revenue depends on the number of
thousands of items sold, x.
y
60
-50
8
-10
40
30
20
10
10 20
30
40
50
X
60
How do the mathematical domain and reasonable
domain compare?
O mathematical:-00
O mathematical:-00
O mathematical: 0
mathematical: 0
O
8
Answers
Answer:B
its B on edg 2022
Step-by-step explanation:
Select the correct answer.
Function F is nonlinear and f(5) = 4. Which equation could represent function F ?
A. f(x) = x^2 – 11
B. f(x) = 2^x - 28
C. f(x) = 1/5x + 3
D. f(x) = 5
i know its not C
Answers
f(5) = 4
It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)
Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D
Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C
Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B
Check A too, it gets y=14 so thats wrong as it is not 4.
A rectangle measures 4 3/4 inches by 1/3 inches . What is the area ?
Answers
Answer:
A = [tex]\frac{1}{4}[/tex] in²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lb ( l is the length and b the breadth ) , then
A = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] ( cancel 3 on numerator/ denominator )
= [tex]\frac{1}{4}[/tex] × 1 = [tex]\frac{1}{4}[/tex] in²
PLS HELP! This is due soon!!
Answers
Answer:
Step-by-step explanation:
( x' , y' ) = ( x + 0 , y - 3 ) ⇒ ( x , y ) = ( x' + 0 , y' + 3 )
E( - 4 , - 3 )
F( - 3 , 1 )
G( - 1 , - 2 )
H( 1 , 3 )
The congruence theorem that can be used to
prove ΔΜΝΡ ΔΑΒC is
O SSS.
O ASA.
O SAS.
O AAS.
Answers
Answer:
SAS
Step-by-step explanation:
AB congruent to MN
Angle B congruent to Angle N
BC congruent to NP
Check both triangles
<N=<BPN=BCNB=ABSo
Two sides are equal and their corresponding angles are equal
SAS should be usedHELP !!!
Find x, y, and z if
(3x5)^4 x (2x5)^7 = 2x x 3y x 5z.
use the technique shown in photo if possible.
Answers
Answer:
3^9
2^12
5^11
Step-by-step explanation:
if you don't get it I'll be there to help
Match the numbers in column one with the square roots in column two
Answers
Answer:
1..c
2..h
3..g
4..e
5..b
6..d
7..a
Ten friends played slot machines in Las Vegas. Their average loss was $60 and the standard deviation of the loss was $10. What does the standard deviation of $10 mean
Answers
Using it's concept, it is found the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.
What is the standard deviation of a data-set?The standard deviation is given by the square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values.It represents by around how much the distribution varies around the mean.Hence, in this problem, the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.
More can be learned about standard deviation at https://brainly.com/question/24754716
pls help this is on edge
Answers
Step-by-step explanation:
Btw The one on the upper right hand side is Right angle
Answer:
The answer is the image.
Step-by-step explanation:
Sorry for messy writing.
What is the solution to the linear equation? 4b 6 = 2 – b 4 b = –2 b = 0 b = 4 b = 6
Answers
Linear equations are equation that has a degree of 1. The solution to the given linear equation is 4/5
Solving linear equationLinear equations are equation that has a degree of 1
Given the linear equation expressed as
4b + 6 = 2 - b
Collect the like terms
4b +b = 2- 6
5b = -4
Divide both sides by 5
b = 4/5
Hence the solution to the given linear equation is 4/5
Learn more on linear equation here: https://brainly.com/question/2030026
Answer:
b= 0 (option B)
(x+3)(3x² - 5x - 10) multiply polynomial
Answers
Answer:
[tex]\boxed{\sf{3x^3+4x^2-25x-30}}[/tex]Step-by-step explanation:
[tex]\underline{\text{SOLUTION:}}[/tex]
To isolate the term of x from one side of the equation, you must multiply by a polynomial.
[tex]\underline{\text{GIVEN:}}[/tex]
[tex]:\Longrightarrow: \sf{(x+3)(3x^2 - 5x - 10)}[/tex]
You have to solve with parentheses first.
[tex]:\Longrightarrow \sf{x\cdot \:3x^2+x\left(-5x\right)+x\left(-10\right)+3\cdot \:3x^2+3\left(-5x\right)+3\left(-10\right)}[/tex]
Solve.
[tex]\sf{x*3x=3x^3}[/tex]
x(-5x)=-5x²
[tex]\sf{x(-10)=-10x}[/tex]
3*3x²=9x²
3(-5x)=-15x
3(-10)=-30
Then, rewrite the problem down.
[tex]\sf{3x^3-5x^2-10x+9x^2-15x-30}[/tex]
Combine like terms.
[tex]\Longrightarrow: \sf{3x^3-5x^2+9x^2-10x-15x-30}[/tex]
Add/subtract the numbers from left to right.
-5x²+9x²=4x²
[tex]\Longrightarrow: \sf{3x^3+4x^2-10x-15x-30}[/tex]
Solve.
[tex]\sf{-10x-15x=-25x}[/tex]
Then rewrite the problem.
[tex]\Longrightarrow: \boxed{\sf{3x^3+4x^2-25x-30}}[/tex]
Therefore, the correct answer is 3x³+4x²-25x-30.I hope this helps! Let me know if you have any questions.
Answer:
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](x + 3)(3x^2 - 5x - 10)[/tex]
[tex](x * 3x^2) + (x * (-5x)) + (x * (-10)) + (3 * 3x^2) + (3 * (-5x)) + (3 * (-10))[/tex]
[tex]3x^3 - 5x^2 - 10x + 9x^2 - 15x - 30[/tex]
Step 2: Combine like terms
[tex]3x^3 - 5x^2 + 9x^2 - 15x - 10x - 30[/tex]
[tex](3x^2) + (-5x^2 + 9x^2) + (-15x - 10x) + (-30)[/tex]
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Answer: [tex]3x^2 + 4x^2 - 25x - 30[/tex]
PLSS HELP
I NEED THIS ASAP
Find angle relationship and solve for X!!
(WILL GIVE BRAINLIEST)
Answers
Answer:
Same side exterior anglesx = 15Step-by-step explanation:
The indicated angles are same side exterior angles since located on the same side of the transversal and exterior to parallel lines.
Same side exterior angles are supplementary, so their sum is 180.
Solve the following equation for x
7x + 3 + 4x + 12 = 18011x + 15 = 18011x = 165x = 165/11x = 15Angles are supplementary as they are same side exterior angles
7x+3+4x+12=18011x+15=18011x=165x=15Ham bought 40 calculators each at £8.20 and a number of other calculators at £2.95each .in all he spent £387 .how many cheaper calculators did he buy ?
Answers
40•8.20=328
387-328=59
59/2.95=20
Which one is the correct answer, a b c d
Answers
[tex]g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
Step-by-step explanation:[tex]Substitute\ and\ calculate:\\ \downarrow\\ g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
I hope this helps you
:)
. The ratio of the measures of the sides of a
triangle is 4:7:5. If the perimeter of the
triangle is 128 yards, find the length of the
longest side.
Answers
Step-by-step explanation:
4+7+5=16
128:16=8
8*7=56 yards
If f(x) = -4x - 10, what is the
value of f(-6)?
I
Answers
-4(-6) - 10 = 24 - 10 = 14.
The value of f(-6) is 14. Hope this helps.
A bag contains 6 red marbles, 2 white marbles, and 1 grey marble. You randomly pick out a marble, records it’s color, and put it back in the bag. You repeat this process 45 times. How many white or grey marbles do you expect to get?
Answers
Answer:
90 white marbles and 45 gray marbles
Step-by-step explanation:
complete the function table and write the function rule
Answers
Answer:
6 and -22
Step-by-step explanation:
See attached image.
The function rule for the linear function is y = y = x - 12
The missing values are: x = 6; and y = -22.
What is a Linear Function Rule?Where, m is the average rate of change, and b is the initial value when x is 0, therefore, a linear function rule is given as, y = mx + b.
Find m and b using the table of values given.
Using (32, 20) and (14, 2):
Average rate of change (m) = change in y / change in x = (20 - 2)/(32 - 14)
Average rate of change (m) = 18/18 = 1.
Find b by substituting m = 1 and (x, y) = (14, 2) into y = mx + b
2 = 1(14) + b
2 = 14 + b
2 - 14 + b
-12 = b
b = -12
Write the rule of the linear function by substituting m = 1 and b = -12 into y = mx + b
y = 1(x) + (-12)
y = x - 12
Find the missing values on the table
Fourth Row: when y = -6
-6 = x - 12
-6 + 12 = x
x = 6
Last Row: when x = -10
y = -10 - 12
y = -22
Therefore, the function rule for the linear function is y = y = x - 12
The missing values are: x = 6; and y = -22.
Learn more about linear function rule on:
https://brainly.com/question/4025726
The high attendance at this year's Vacation Bible School at Highland Church was one hundred
seven children. This was twenty-three less than twice the number that attended last year. How many
children attended last year?
Answers
Answer: 65
Step-by-step explanation:
Given:
This year's attendence = 107
Let last year's attendence = x
Create an equation an solve for x:
2x - 23 = 107
2x = 107 + 23
2x = 130
x = 130/2
x = 65
Therefore, 65 children attended last year's Vacation Bible School
Ignore the chosen answer mark thing I clicked on it by accident
Answers
Answer:
It's the one you clicked!
Step-by-step explanation:
It is 22.5 or 22 [tex]\frac{1}{2}[/tex]
because
5/2 simplified is 2.5
2.5 x 9 = 22.5
hope this helps :)
How are bitcoin hashes made?
Answers
In which year did Carlos and Andrew have the largest difference in their salaries?
2003
2004
2005
2006
Answers
Answer:
the answer to this is D. 2006