Given:
The equation is
[tex]x^2+(2\sqrt{5})+2x=-10[/tex]
To find:
The number of roots and discriminant of the given equation.
Solution:
We have,
[tex]x^2+(2\sqrt{5})x+2x=-10[/tex]
The highest degree of given equation is 2. So, the number of roots is also 2.
It can be written as
[tex]x^2+(2\sqrt{5}+2)x+10=0[/tex]
Here, [tex]a=1, b=(2\sqrt{5}+2), c=10[/tex].
Discriminant of the given equation is
[tex]D=b^2-4ac[/tex]
[tex]D=(2\sqrt{5}+2)^2-4(1)(10)[/tex]
[tex]D=20+8\sqrt{5}+4-40[/tex]
[tex]D=8\sqrt{5}-16[/tex]
[tex]D\approx 1.89>0[/tex]
Since discriminant is [tex]8\sqrt{5}-16\approx 1.89[/tex], which is greater than 0, therefore, the given equation has two distinct real roots.
Circle the expression that is four times bigger than n
N+4. 4n. N/4. N4
Answer:
4n And N4 are the same Answer.. yet both mean 4 times n
Solve the equation. x6−7=5 The first step is to___ on both sides of the equation. The second step is to___ on both sides of the equation. x=____
Answer:
x=2
Step-by-step explanation:
x6−7=5
x6=7+5
x6=12|:6
x=2
Which number line shows point B located at 0.53?
CLEAR
B
B
3
4
5
B
0
B В
4
Answer:
third one in the photo
Step-by-step explanation:
.............
PLSSS HELP
Jonathan is rotten at playing marbles and almost always loses to his sister Eunice, who never gives back the marbles Jonathan loses to her. Jonathan heard about a sale of marbles where shooters are 5¢ each red marbles are 3¢ each, and multicolored marbles are 5 for a penny He has a dollar to spend and has decided to buy 100 marbles so How many of each kind of marble can he buy? Hint There is more than one answer to this problem)
Answer: He can buy 12 shooters with $1. 20 red marbles with $1. 300 multicolored marbles.
Step-by-step explanation:
Shooters = 1 dollar is 60 cents
60 divided by 5 = 12
Red = 60 divided by 3
= 20
Multicolored = 60 x 5 because 1 for 5
= 300
P.S Not sure if my answer is correct.....
f(x) = 4x^2 + 7x – 18
Find f(-9)
Answer:
f(-9) = 243
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationsStep-by-step explanation:
Step 1: Define
f(x) = 4x² + 7x - 18
f(-9) is x = -9
Step 2: Evaluate
Substitute in x: f(-9) = 4(-9)² + 7(-9) - 18Evaluate exponents: f(-9) = 4(81) + 7(-9) - 18Multiply: f(-9) = 324 - 63 - 18Subtract: f(-9) = 261 - 18Subtract: f(-9) = 243As, we have f(x) = 4x² + 7x - 18, so to find f(- 9) substitute value of x as (-9).
[tex] \tt : \implies f(-9) = 4(-9)² + 7(-9) - 18[/tex]
[tex] \tt : \implies f(-9) = 4 \times 81 + (-63) - 18[/tex]
[tex] \tt : \implies f(-9) = 324 - 63 - 18[/tex]
[tex] \tt : \implies f(-9) = 324 - 81[/tex]
[tex] \tt : \implies f(-9) = 243[/tex]
[tex] \Large \underline{\boxed{\bf{f(-9) = 243}}}[/tex]
Hence, value of f(- 9) = 243.
What is the value of the expression shown below? 7 + (2 + 6) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4 (5 points)
Answer:
18
Step-by-step explanation:
Answer: The correct answer is 8
Step-by-step explanation: I'm too lazy to add an explanation :/
THIS MY LAST PROBLEM HELP!! STEP By STEP
y =3x + 14
2x - 3y = -14
The answer is.
y = 2, x = -4
Answer:
x=-4
Step-by-step explanation:
First substitute y=3x+14
2x-3(3x+14)=-14
Distribute:
2x-9x-42=-14
Add or subtract like terms
-7x-42=-14
-7x=28
Finally divide both sides by -7
-7x/-7=x
28/-7=(-4)
x=-4
Help ASAP I’ll mark you as brainlister
how to solve problems on this website
Answer:
You go to whoever's question you wanna answer and it should say "add answer" and just type out your answer and solve it
Answer:
Theres a "add answer" just click on that and u will be able to add
Step-by-step explanation:
Mr. Richardson would like to build a planter surrounded by a brick path (show in gray). How many square feet of brick does Mr. Richardson need? 20ft and 8 ft inside the planter 24ft and 12ft of path
Answer:
128 ft^2 needed
Step-by-step explanation:
Given
See attachment for missing details
Required
Determine the number square feet needed
First, calculate the inner area (A1)
[tex]A_1 = Length * Width[/tex]
[tex]A_1 = 20ft * 8ft[/tex]
[tex]A_1 = 160ft^2[/tex]
Next, calculate the outer area (A2)
[tex]A_2 = Length * Width[/tex]
[tex]A_2 = 24ft * 12ft[/tex]
[tex]A_2 = 288ft^2[/tex]
The area of the planter is:
[tex]Area = 288ft^2-160ft^2[/tex]
[tex]Area = 128ft^2[/tex]
Hence, he needs 128 square feet
Please help me i will brainliest
PLEASE HELP FAST - THIS IS 40 PERCENT OF MY GRADE- I WILL MARK BRAINLY
Answer:
theres nothing there
...
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
This diagram shows the dimensions of a concrete piece used to build a deck.
What is the volume of the concrete piece?
Answer:
1,690
Step-by-step explanation:
8x9x20 + 5x5x10
I need help :) please help me
Answer:
the y-values for the x-values, starting with -3, are:
-5, -4, -3, -2, -1, 0, 1
Step-by-step explanation:
for each, plug the x-value into the equation y = x - 2 and get the result
example, when x = -3 then y = (-3 - 2) which is -5
can someone solve this question plzzzzzzz ill give brainliest
Answer:
17 to 24
25 to 32
Step-by-step explanation:
8-1=7
16-9=7
therefore it means we add 7 on the next number which is 17; to get 24,and also to the next number after 24 which is 25 to get 32
Answer: 17 to 24 then 25 and 32
Step-by-step explanation:
Seriously Stephanie u needed help with this? Anyways glad I can help.
Help help help me me now Srry
Answer:
Step-by-step explanation:
No this is not proportional , because the ratio of y/x for each one is not same ,
As for 1st one ,
y/x =4/2 =2
for 2nd one ,
y/x=16/4 = 4 and so on
so they re not equal that's why they are not proportional
Can someone pleaseeee help and if you’re correct I’ll give u brainlist! Yes or no?
Answer:
yes
Step-by-step explanation:
PLS HELP THIS IS DUE IN AN HOUR!!! Miguel picked a total of 25 tomatoes and cucumbers at the community garden. He picked 4 times as many tomatoes as cucumbers. Make a diagram to show the number of tomatoes and cucumbers that Miguel picked.
The measures of two sides of a triangle are given. If P is the perimeter, and p=18x+9y , find the measure of the third side
Answer:
10x + 6y
Step-by-step explanation:
I know this because I got it right.
whats the equation of the graph ?
Answer:
y=2
Step-by-step explanation:
all horizontal lines are y=(the y intercept/line height)
necesito su ayuda les doy coronita
Answer:
what
Step-by-step explanation:
Help because yessssssssssssssssss.
Answer:
...................................................
Search it up!.
Step-by-step explanation:
Hey, Chiyoku. If you are going to be online, please talk to me, I miss you.
The equation below has one solution.
9x-10=3x+2
What is the solution to the equation?
O -2
O 1
O1
O2
While creating a bar graph the first recorded interval was 0 to 10. What was the fourth interval? Select the Hint button to view a hint. A 10-20 B 20-30 C 30-40 D 40-50
Answer:
answer is C 30-40 that the fourth interval
Answer:C
Step-by-step explanation:
is the answer a, b, c, or d?
Answer:
Tally marks
Step-by-step explanation:
It is most likely tally marks because all of the other options are more recent than option b the Greek and Latin letters are dated to be closer to the modern times than the cavemen were.
Hello, I hope you have a good day, can you please help me it would mean a lot........
What is the smaller angle formed by the minute and hour hands at 3:30pm?
the angle would be a 90° angle
========================================================
Explanation:
At 3:00 pm, the hour hand is pointed directly at the '3'. At 4:00 pm, the hour hand moves to point directly at the '4'.
Since 3:30 pm is the halfway point of 3:00 pm and 4:00 pm, this must mean the hour hand is halfway between the '3' and '4'.
Each little tiny tickmark on the clock represents 1 minute. From the "3" to "4", we have 5 tickmarks, so half of that is 5/2 = 2.5
The hour hand is pointing to 2.5 minutes after the 15 minute mark, meaning the hour hand is pointing to the 15+2.5 = 17.5 minute mark.
The span of time from 17.5 minutes to 30 minutes is 30-17.5 = 12.5 minutes.
Divide this over 60 minutes and we get 12.5/60 = 125/600 = 5/24
The 5/24 indicates the fractional amount of 360 degrees being taken up by this angle shown.
So, (5/24)*360 = 75 degrees is the angle measure in this diagram.
Help :( I’m not sure what the answer is
Answer:
if it says greatest change then its 6:30 to 7:00
Step-by-step explanation:
Answer:
6:30-7:00
Step-by-step explanation:
Which expression has the smallest value?
A.
-15
OB.
1241
O C.
-31
O D.
|-421
Hi can someone please explain how to do this please?
1. Find the general formula that gives the nth term for each of the sequences below
(remember this is NOT the recursive rule).
(a) Odd numbers:
(b) Triangular numbers:
(c) Square numbers:
9514 1404 393
Answer:
(a) an = 2n -1
(b) an = n(n +1)/2
(c) an = n^2
Step-by-step explanation:
(a) The odd numbers are an arithmetic sequence with first term 1 and common difference 2. The general term is ...
an = a1 +d(n -1)
an = 1 + 2(n -1)
an = 2n -1
__
(b) The triangular numbers are a quadratic sequence with first term 1, first first difference 2, and second differences 1.
The first few terms and differences are ...
sequence: 1, 3, 6, 10, 15, 21, 28, ... (a1 = 1)
first diff: . . . 2, 3, 4, 5, 6, 7, ... (d1 = 2)
2nd diff: . . . . 1, 1, 1, 1, 1, ... (d2 = 1)
There is a sort of general formula* that can make use of these numbers to give the general term of the sequence:
an = a1 +(n -1)(d1 +(n -2)/2(d2))
For the values we have, this gives our general term as ...
an = 1 + (n -1)(2 +(n -2)/2(1))
an = n(n +1)/2
__
(c) The general term in the sequence of square numbers is simply the square of the term number:
an = n²
_____
* There are a number of other ways to get to the general formula for triangle numbers. You can search for it, since it is well-known. You can use a quadratic regression tool on the sequence of numbers. You can develop a system of equations to find the coefficients of the quadratic equation.
The general formula given can be used to find polynomial sequences of any degree. Coefficients at successive layers in the formula are of the form (n -k)/k. The first term in parentheses following that is the first k-th difference.
Who can help me out please I’ll mark brainliest
[tex]7x + 12 = 9x - 6[/tex]
[tex]7x + 12 - 7x = 9x - 6 - 7x[/tex]
[tex]12 = 2x - 6[/tex]
[tex]12 - 6 = 2x -6 - 6[/tex]
[tex]6 = 2x - 12[/tex]
[tex]6 + 12 = 2x[/tex]
[tex]18 = 2x[/tex]
[tex]18 \div 2 = x[/tex]
[tex]9 = \bold{ x}[/tex]
In pythagoras, c is the hypotenuse. That is AC. Where a is AB and b is BC.
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {(6 x + 5)}^{2} = {(7x + 12)}^{2} + {BC}^{2} [/tex]
[tex] {((6 \times 9) + 5)}^{2} = {((7 \times 9)}^{2} + 12)^{2} +{BC}^{2} [/tex]
[tex] {(54 + 5)}^{2} = {(63 + 12)}^{2} + {BC}^{2} [/tex]
[tex] {59}^{2} = {75}^{2} + {BC}^{2} [/tex]
[tex]3481 = 5625 + {BC}^{2} [/tex]
[tex]3481 - 5625 = {BC}^{2} [/tex]
[tex] - 2144 = {BC}^{2} [/tex]
[tex] \sqrt{ - 2144} = BC[/tex]