Answers
9514 1404 393
Answer:
x = -0.25+√2.4375i or -0.25-√2.4375i
Step-by-step explanation:
The quadratic formula works for this. The quadratic equation ...
ax² +bx +c = 0
has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Your equation ...
2x² +x +5 = 0
has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]
The decimal equivalents are ...
x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical
Related Questions
Ben drinks water everyday. He drinks 3 1/2 liters of water every 1/4 of an hour. Ben drinks water at a constant rate. How many liters of water can Ben drink in 3 hours?
Answers
Ben drinks 3 1/2 liters of tea every 40 minutes.
This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).
Now, let's multiply each side by 3.
1.75 * 3 = 5.25 (aka 5 1/4)
20 * 3 = 60 minutes (an hour)
He drinks 5 1/4 liters of tea in one hour.
Answer:
42 liters
Step-by-step explanation:
3.5x4=14 in 1 hour
14x3=42liters in 3 hours
A pitchers earned-run average E varies directly as the number R of earned runs allowed and inversely as the number of I innings pitched. A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs in 262 innings. How many earned runs would the pitcher have given up having pitched 311 innings with the same average?
Answers
9514 1404 393
Answer:
101 runs
Step-by-step explanation:
The given relation is ...
E = kR/I
The value of k can be found from the given numbers.
2.92 = k(85/262)
k = 2.92(262/85) = 9
__
Solving the above equation for R, we get ...
R = E·I/9 = (2.92)(311)/9 = 100.9 ≈ 101
The pitcher would have given up 101 earned runs in 311 innings.
Round to the nearest whole number 7.6
Answers
Answer:
8
Step-by-step explanation:
You would round because 7.6 is over half
question 8/10 please and thank you
Answers
Answer:
80
Step-by-step explanation:
These angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
12x+8 = 13x+2
Subtract 12x from each side
12x+8-12x = 13x+2-12x
8 = x+2
subtract 2 from each side
8-2 =x
6 =x
Find the measure of the angle
12x+8
12*6+8
72+8
80
A net is cut from a piece of cardboard that is 13 inches by 17 inches. The cardboard that is not used for the net is recycled.
How many square inches of cardboard are recycled?
Answers
Answer:
109 sq in
Step-by-step explanation:
By adding up all the areas in the net, we get 112 sq in. We then use that number to subtract from the area of the cardboard which is 221 sq in. We then get 109 sq in from that. Hope this helps.
-12.5 - (-4.8) What is the value of the expression?
Answers
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Answers
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:
0
1
2/3
4
Answers
Answer:
4
Step-by-step explanation:
y intercept is always the value without a coeffiecent
Answer:
ITS 4
Step-by-step explanation:
3х + 11 = 20
Helppppp
Answers
Answer: x=3
Step-by-step explanation: subtract 11 from 20 and you'll get 9. Nine divided by 3= 3. Therefore, x=3
Answer:
x = 3
Step-by-step explanation:
3x + 11 = 20
Subtract 11 from both sides.
3x + 11 = 20
3x -11 = -11
3x = 9
Divide both sides by 3
3x/3 = 9/3
Simplify the equation
x = 3
Check; Plug 3 into the equation
3(3) + 11 = 20
9 + 11 = 20
Hope this helps!
-Jerc
what is 2/16 as a decimal
Answers
BRAINLIEST Multiply each side by the common denominator
Answers
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
[tex]\frac{5}{x}[/tex] = [tex]\frac{x + 2}{3}[/tex]
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
[tex]\frac{5}{x}[/tex] x 3x = [tex]\frac{x + 2}{3} x[/tex] 3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?
Answers
$32.89
15% tip
Is $4.94
Making the total of the bill
$37.83
A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.
Answers
Answer:
[tex]\boxed{1500cm^{2} }[/tex]
Step-by-step explanation:
Area = Length × Width
→ Identify the length and width
Length = 5 and Width = 3
→ Substitute in the values
Area = 5 dm × 3 dm
→ Convert into cm
Area = 50 cm × 30 cm
→ Simplify
1500 cm²
2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56
Answers
Answer: subtraction property of equality
Step-by-step explanation:
Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?
Answers
9514 1404 393
Answer:
62.6 seconds
Step-by-step explanation:
We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
__
For Bill's balloon, the two given points are ...
(t, h) = (-5, 1032) and (5, 985)
Then the equation is ...
h = (985 -1032)/(5 -(-5))(t -(-5)) +1032
h = -47/10(t +5) +1032
__
For Jerry's balloon, the two given points are ...
(t, h) = (0, 0) and (5, 57)
Then the equation is ...
h = (57-0)/(5-0)(t -0) +0
h = (57/5)t
__
The heights are equal when ...
-47/10(t +5) +1032 = (57/5)t
1008.5 = t(57/5 +47/10) = 16.1t
Then the time until heights are the same is ...
t = 1008.5/16.1 ≈ 62.6 . . . seconds
what is (2 cubed) to the fourth power
Answers
Answer: 4096
Step-by-step explanation: 2^3=8, 8^4=4096.
Answer:
4096
Step-by-step explanation:
2 cubed=8
8^4=4096
- Karan has n chocolates. He gave his younger brother 5 chocolates and distributed the remaining is
equally between his friend and himself. How many chocolate did his friend get in terms of n?
Answers
Answer:
4 chocolates
Step-by-step explanation:
n-c
brother-5n
5n-n=4
=4
If the bother has 5, then that leaves the rest to be 12 which is evenly distributed among his friends
N=4
Round number to the underline digit 45.398 The underline digit is 3.
Answers
If the 3 is underlined, look at the 9 and tell if the 3 should be rounded up or down. 9 is greater than 5 so that means that it will round up. You will then be left with 45.40
Hope this helps!
Find the slope of the line below
Answers
Answer:
5/3
Step-by-step explanation:
rise=5
run=3
so 5/3
3(2x + 1) – (4x + 2)
How do i siplify this
Answers
Answer:
= 2x + 1
Step-by-step explanation:
Explanation:
Step 1. Distribute
Distribute the 3 to 2x+1 and the negative sign to 4x+2. You will get 6x+3-4x-2
Step 2. Combine like terms
Subtract 6x-4x and subtract 3-2.
You will get 2x+1 as your final answer.
If this helped please mark me as brainliest!!<3
let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)
Answers
Answer:
f•g(x) = f(x)•g(x)
f•g(x) = (2x-1) (x²-2x+1)
= 2x³-4x²+2x-x²+2x-1
= 2x³-5x²+4x-1
explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers
Answers
Step-by-step explanation:Firstly, strategy are all in mind and not on paper while written methods are solid proofs that are written on paper. Strategies may or may not work out with respect to the situation, while Written method will always work. They are actually written after testing their reliability. As far as you multiply decimal numbers these will go in vain and you have to use your mind to solve these
The relationship between strategy and written method in mathematics is that;
Strategies can be changed or modified whereas written methods cannot be changed or modified because they have standards upon which such methods are based.
In mathematics, strategies are defined as the different ways in which a problem can be approached. For example;A student wants to perform addition of 19 and 46.
He could add the number straight away by doing 19 + 46 = 65or he can
take away 1 from 46 to become 45 and add that 1 to 19 to become 20 and
then sum 45 and 20 together as 20 + 45 = 65.
So we can see that the two strategies used to add 19 and 46 gave the same result.
In contrast, when dealing with written methods like partial products one cannot use any other method apart from that stated in the written method.For example, we want to use partial products to multiply 13 x 52.
The solution would become (10 × 50) + (10 × 2) + (3 × 50) + (3 × 2) = 676.
In this method, there cannot be another way used as the standard for using partial products is written and fixed.
Read more at; https://brainly.com/question/18884089
ryans tennis club Membership Which is 11$ is deducted each month which expression shows the total deductions for the year?
Answers
Answer:
(-$11)x12
Step-by-step explanation:
hope this helps if its right can i get brainliest
HELP ME PLS ITS DUE TODAY :((
Answers
Answer:
3 8
18 48
22.5 60
27 72
Step-by-step explanation:
3:8 ratio
18/3=6
8*6=48
Answer:
48
60
72
Step-by-step explanation:
1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.
2. Equation: 3*?=8, ? = 8/3
3. Multiply all of the other numbers by 8/3 to get the answers.
4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.
Answers: 48, 60, 72
a bacteria culture begins with 8 bacteria which triples in size every week. How many bacteria exists in the culture after 4 weeks ?
Answers
Answer:
648
Step-by-step explanation:
8x3=24
24x3=72
72x3=216
216x3=648
Please look at the pic and help it got marked wrong
Answers
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
is this a keep, change, change?
-9-8
Answers
Answer:
umm i think so
Step-by-step explanation:
| 1) A penny made in 1982 weighs about 0.11 ounce. A
penny made in 2013 weighs about 0.09 ounce. Which
penny weighs more? Solve this problem any way you
choose.
Answers
Answer:
Weight in 1982
Step-by-step explanation:
Given parameters:
Weight of penny in 1982 = 0.11 ounce
Weight of penny in 2013 = 0.09 ounce
Unknown:
Which penny weighs more = ?
Solution:
Simply, we are looking for which number is higher,
0.11 or 0.09
Let us find the differences;
if x is greater than y then, x - y must be positive
If 0.11 is greater then 0.09, then 0.11 - 0.09 must be positive
= 0.02, it is positive
The weight of a penny in 1982 is greater than that in 2013
Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.
Answers
2y=2x+6
y=x+3
y=3+3
y=6
y=x+3
-5=x+3
x=-8
Mr. Gregory sold several cars this week. Here is some data about the cars he sold. Car sold Retail price Miles per gallon Seats Navigation? Accord \$22,205$22,205dollar sign, 22, comma, 205 323232 555 no Altima \$22,500$22,500dollar sign, 22, comma, 500 323232 555 no Camry \$23,070$23,070dollar sign, 23, comma, 070 303030 555 yes ... ... ... ... ... The individuals in this data set are: Choose 1 answer: Choose 1 answer: (Choice A) A Mr. Gregory's customers (Choice B) B Cars (Choice C) C Seats This data set contains: Choose 1 answer: Choose 1 answer: (Choice A) A 333 variables, 222 of which are quantitative (Choice B) B 333 variables, 333 of which are quantitative (Choice C) C 444 variables, 222 of which are quantitative (Choice D) D 444 variables, 333 of which are quantitative
Answers
Answer:
The individual in the data set is the cars sold
There are 4 variables but 3 are numerical or quantitative
Step-by-step explanation:
See Attachment for proper format of question.
Required
The individuals in this data set are:
This data set contains:
Solving (a):
From the attachment, we have the following columns:
Cars Sold; Retail Price; Miles Per Gallon; Seats; Navigation
From the list of columns, the individual in the data set is the cars sold because it represent what is being referenced in the table
Solving (b):
In (a) above, we established the individual to be cars sold.
The other 4 elements are what the data set contains i.e. variables.
From the attachment, we have that
retail price, miles per gallon and seats are numerical data while navigation isn't.
So, we can conclude that.
There are 4 variables but 3 are numerical or quantitative
Answer:
B
D
Step-by-step explanation:
I got it right on khan. Please send thanks