Answer:
Solving the equation [tex]3r^2-2r=-9[/tex] using quadratic formula we get: [tex]\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}[/tex]
Step-by-step explanation:
We need to solve the equation [tex]3r^2-2r=-9[/tex] using quadratic formula.
The quadratic formula is: [tex]r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
For the given equation: [tex]3r^2-2r=-9[/tex]
We can write it as: [tex]3r^2-2r+9=0[/tex]
We have a = 3, b= -2 and c=9
Putting values in quadratic formula and finding value of r
[tex]r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\r=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(9)}}{2(3)}\\r=\frac{2\pm\sqrt{4-108}}{6}\\r=\frac{2\pm\sqrt{-104}}{6}\\We\:know\:that: \sqrt{-1}=i\\ r=\frac{2\pm\sqrt{26} \:i}{6}\\ r=\frac{2+2\sqrt{26}\:i}{6}\:or\: r=\frac{2-2\sqrt{26}\:i}{6}\\ r=\frac{2(1+\sqrt{26}\:i)}{6}\:or\: r=\frac{2(1-\sqrt{26}\:i)}{6}\\ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}[/tex]
So, solving the equation [tex]3r^2-2r=-9[/tex] using quadratic formula we get: [tex]\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}[/tex]
HELP I HAVE 5 MINUTES!!!!
The equation of a line in the point-slope form is show below. y – 9 = 1/5(x-2) What is the slope of this line? A. 2 B. 1/9 C. 5 D. 1/5
Answer: it’s D 1/5
Step-by-step explanation: I took the test and got a 100
PLEASE URGENT (quadratic formula with step by step) 35 points!
Answer: 1.828 HOPEFULLY ITS RIGHT.
Step-by-step explanation:
16/9 Write as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
1.7777 (use the bar on top of 7)
Step-by-step explanation:
top in bottom out
16 goes into 9 one times
can anyone help me in this ???? and tysm !!!
Answer:
The answer to the question provided is 38.
The Problem
which coordinate is a solution to the equation: 7x + 4y = 9?
a (4, -2)
b. (-33)
c. (3-3)
d. (-4,2)
Answer:
C. (3,-3)
Step-by-step explanation:
7 ( 4) + 4 (-2) = 9 false
7 ( -3) + 4 (3) = 9 false
7 ( 3) + 4 ( -3) = 9 true
7 ( -4) + 4 ( 2) = 9 false
12 n - 49, when n = 3
Answer:
-13
Step-by-step explanation:
First subsitute 3 for n
12(3)-49 multiply 3 with 12
26-49 subtract
-13
4 x 5/8=?
WITH SOLUTION PLEASE HELP,!
Answer:
20/8 or 5/2
Step-by-step explanation:
4 can be written as 4/1, and 5/8 is just 5/8.
Now, 4/1*5/8 = 4*5/1*8 = 20/8
Carpet costs $21.95 per square yard and the padding to put under it costs $2.55 per square yard. Felix plans to install padding and carpet in the region shown in the figure. What is the total cost of the carpet and padding needed to exactly cover the room?
Answer:
735
Step-by-step explanation:
Which expression is equivalent to
1
?
64
0 41 x 4-10
O 4-1 x 410
O 4
x 47
O 44 x 4-7
Answer:
D. 4^4 x 4^-7
Step-by-step explanation:
Option D is correct, 4⁴×4⁻⁷ is equivalent to the expression 1/64
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 1/64
One divided by sixty four
We need to find the expression which is equivalent to One divided by sixty four.
We know that 4×4×4 is 64
Which means 4³=64
4⁴×4⁻⁷ = 4⁻³
1/64 = 1/4³
= 4⁻³
So 4⁴×4⁻⁷ is equal to 1/64
Hence, Option D is correct, 4⁴×4⁻⁷ is equivalent to the expression 1/64
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
Mary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the second hand sanitizer?
Answer:
2x
Step-by-step explanation:
ok so basically..
x/100 * 200
200x/100
then you cross out the zeros and you get 2x.
Hope this Helped!! XD
Uses a distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor 27+9
Given:
The expression is
[tex]27+9[/tex]
To find:
The expression as a multiple of a sum of two numbers with no common factor.
Solution:
We have,
[tex]27+9[/tex]
It can be written as
[tex]=3\times 9+9[/tex]
Using distributive property taking out the common factors.
[tex]=(3+1)9[/tex] [tex][\because a(b+c)=ab+ac][/tex]
Therefore, the required expression is [tex](3+1)9[/tex].
If Karen finished watching a movie at 1:10 pm, and it lasted 1 hour 38 minutes, then what time did she start the movie
Answer:
11.32pm
Step-by-step explanation:
1.10pm - 1hr = 12.10pm
12.10pm - 38min = 11.32pm
Answer:
1:38 minus and hour which is 12:38now minus 38 minutes from an hour is 22 so the answer is 12:22
36 students signed up to volunteer for a race two or three equal groups of students and each group had a different task how many students were in each group
Answer:
I two groups are formed: 18 students
If 3 groups are formed: 12 students
Step-by-step explanation:
We will answer this problem based on two occurrences:
1. The students chose to form only two groups:
If the students chose to form only two groups, the number of students in each group will be got by dividing the total number of students by 2. this will be 36/2 = 18. Therefore, there will be 18 students per group if only 2 groups were formed.
2. The students chose to form three groups:
If the students chose to form three groups, we will divide the total number of students by 3. this will be 36/3 = 12. Therefore, there will be 12 students per group if only 3 groups were formed.
priya bought x grams of flour Clara bought 3/8 more than that select all questions that represent the relationship between the amount of flour prior bought x and the amount of flour Clara bought is y
a. y = 3/7 c
b. y = 5/8 x
c.y = x + 3/8 x
d. y= x - 3/8 x
e. y = 11/8 x
Answer:
Option C : [tex]x+\frac{3}{8}x[/tex] is the correct answer.
Step-by-step explanation:
Given that:
Quantity of flour bought by Priya = x grams
Quantity of flour bought by Clara = 3/8 more than that
It means that Clara bought the amount bought by Priya plus an additional 3/8 of flour that was bought by Priya
Total bought = y
y = x + [tex]\frac{3}{8}x[/tex]
Hence,
Option C : [tex]x+\frac{3}{8}x[/tex] is the correct answer.
The temperature on a Monday evening was 8 °F. Tuesday evening it was
expected to drop 12 F. Write and evaluate a subtraction expression find
the expected temperature on Tuesday evening.
Answer:
it would be -4 Degrees F
Step-by-step explanation:
8 -12 = -4
Which of the following completed this proportion?
Answer:
PS
Step-by-step explanation:
PS because is is on the same side as PQ on the right figure.
Answer: PS
Step-by-step explanation: the corespondent side to HL is PS
Mary draws the number line below to represent the solution set of the inequality 50 – 8t < 90. What mistake did Mary make? Use the drop-down menus to explain your answer.
Picture relating to question is attached below
Answer:
t > - 5
Line is in the wrong side
Step-by-step explanation:
Given the inequality :
50 – 8t < 90
-8t < 90 - 50
-8t < 40
-8t / - 8 < (40/ - 8)
t > - 5 (sign changes)
During simplification, we should observe that the inequality sign changes due to negative sign. Hence, our final inequality equation read t > - 5 ; thus, arrow should point to the right
Step-by-step explanation:
this is the equation: 9.50 + 3.75e < 25
How to solve 2 (3x + 2) = 22
Answer:
x = 3
Step-by-step explanation:
[tex]2(3x+2)=22\\\\6x+4=22\\\\6x+4-4=22-4\\\\6x=18\\\\\frac{6x=18}{6}\\\\\boxed{x=3}[/tex]
Hope this helps.
judy borrow 600 from her friend and promises to pay it back in 3 years with the 4% interest rate. calculate the simple interest judy should pay back at the end of 3 years
Answer:
.
Step-by-step explanation:
3. Marjorie made 4 wreaths in 6
hours and 6 wreaths in 9 hours.
What is the constant of
proportionality?
13
k=2
k = 2/3
k = 3/2
k= 3
Answer:
The constant of proportionality is k = [tex]\frac{2}{3}[/tex] ⇒ B
Step-by-step explanation:
The form of the equation of the proportionality is y = k x, where
k is the constant of proportionality∵ Marjorie made 4 wreaths in 6 hours
→ Let y the number of wreath and x is the time of making them
∵ y = k x
∵ y = 4 and x = 6
→ Substitute them in the equation
∴ 4 = k(6)
∴ 4 = 6k
→ Divide both sides by 6 to find k
∵ [tex]\frac{4}{6}[/tex] = [tex]\frac{6k}{6}[/tex]
∴ [tex]\frac{2}{3}[/tex] = k
Let us use the other information to be sure it will give us the same value of k
∵ She made 6 wreaths in 9 hours
∴ y = 6 and x = 9
→ Substitute them in the equation
∵ 6 = k(9)
∴ 6 = 9k
→ Divide both sides by 9 to find k
∵ [tex]\frac{6}{9}[/tex] = [tex]\frac{9k}{9}[/tex]
∴ [tex]\frac{2}{3}[/tex] = k
∴ The constant of proportionality is k = [tex]\frac{2}{3}[/tex]
help me and when you are done
have a blessed day god blesses you
Answer:
False
Step-by-step explanation:
The left side −28 does not equal to the right side 22 , which means that the given statement is false.
complete it (picture)
Spend $1.85 & pay with a
$10.00 bill & you get $8.15 in
change. The digits in the
change are the same as the
digits in what you spent. Can
you find other amounts that
work this way?
what the meaning of (5,25) explain
(5,25)
is when x=5 and y=25
I just need the value of each hand
Answer: partner’s hand -1
your hand -3
I think this is right
Step-by-step explanation:
alice ran 8 miles over the weekend . how many kilometers did she run? 1 mile = 1.6 kilometers
The panthers lost 6 yards on their first play and lost another 8 yards on their next play. What was their net result in yards after these two plays?
my badd i didnt read the whole question it would be negative 14
A salesperson earns a 12.5% commission on every car sold. The salesperson sold a car for $17,500. What is the commission earned from the sale? Round your answer to the nearest cent.
A n s w e r:
$2187.50
A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below.
Starter: breadsticks, soup, salad
Entree: beef, fish, chicken, shrimp, pork
How many possible dinner special combinations are there?
5
8
10
15
Answer: i think that the answer is 10
plz give me some points
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
:)
What is the answer???
Answer:
it is a 90 degree angle
Step-by-step explanation:
because the little square in the corner
