Answer:
One real root (multiplicity 2).
Step-by-step explanation:
-3=x^2+4x+1
x^2 + 4x + 4 = 0
Discriminant = 4^2 - 4*1*4 = 0
There is one real root (multiplicity 2).
The equation has 1 real solution.
The quadratic function is given as:
[tex]-3=x^2+4x+1[/tex]
Add 3 to both sides of the equation
[tex]3-3=x^2+4x+1 + 3[/tex]
This gives
[tex]0=x^2+4x+4[/tex]
Rewrite the equation as:
[tex]x^2+4x+4 = 0[/tex]
A quadratic equation is represented as:
[tex]ax^2+bx+c = 0[/tex]
By comparison, we have:
[tex]a =1[/tex]
[tex]b =4[/tex]
[tex]c = 4[/tex]
The discriminant (d) is calculated as:
[tex]d =b^2 - 4ac[/tex]
So, we have:
[tex]d =4^2 - 4 \times 1 \times 4[/tex]
[tex]d =16 - 16[/tex]
Evaluate like terms
[tex]d = 0[/tex]
Given that the discriminant value is 0, it means that the equation has 1 real solution.
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A number line going from negative 8 to positive 8 in increments of 2. Which integer is the farthest to the left of 0?
Answer:
its 4-!
Step-by-step explanation:
trust me on this
A line and two points are guaranteed to be coplanar if:
A. they don't lie in the same plane.
B. they lie in the same plane.
C. one point and the line are coplanar.
D. they are near each other.
Answer:
b
Step-by-step explanation:
ape x
Answer:
B. They lie in the same plane.
Step-by-step explanation:
Got Correct On ASSIST.
This is my fourth time reposting this question please answer the question I need help
Answer:
here they are.
Step-by-step explanation:
Ok so the mean is the average of all the data. So we add up all the numbers, then divide that by the quantity of numbers.
For week one, thats 48,52,52,53,60,63,65 which equals 393, then we divide that by 7, and get 56.142857142857, so we round that to 56.1
Week 2 is 54,55,56,59,60,62,63 which is 409 divided by 7, and thats 58.428571428571 rounded is 58.4
Next up is the MAD (mean absolute deviation) thats the average distance between each value and the mean.
Week 1 MAD: 5.5918367346939 5.5
Week 2 MAD: 2.9387755102041 2.9
BRAINLIEST ASAP! PLEASE HELP :) A
break-even analysis includes operating expenses and total monthly debt payments, plus :
school costs
gross profit margin
net profit margin
zero term margin.
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
The length of crimson velvet bolt which Malik's shop has left is 1680 centimeters.
Recall :
1 meter = 100 centimeters
Original Length of Bolt = 32 meters = (32 × 100) = 3200 centimeters
Total length of bolt purchased :
Morning purchase = 120 centimeters
Additional purchase = 14 meters = (14 × 100) = 1400 centimeters
Total length purchased = (120 + 1400) = 1520 centimeters
The length of crimson velvet bolt left :
(Original length - total length purchased)
(3200 - 1520) centimeters = 1680 centimeters
Hence, Malik's shop has 1680 centimeters of Crimson velvet bolt left
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen, and King only)?
A. 1/13
B. 1/4
C. 9/52
D. 3/13
Answer:
D, 3/13 simplified from 12/52
Step-by-step explanation:
the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !
BE SAFE !!!! HOPE THIS HELPS!!!!
<3 <3 <3 <3 <3
The probability that the card drawn is a face card is 3/13.
Option D is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
There are 3 face cards.
Number of jack = 4
Number of queen = 4
Number of king = 4
Total number of cards = 52
The probability that the card drawn is Jack.
= 4/52
The probability that the card drawn is Queen.
= 4/52
The probability that the card drawn is King.
= 4/52
The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52
= 3 x 4/52
= 3 x 1/13
= 3/13
Thus,
The probability that the card drawn is a face card is 3/13.
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solve for the width in the formula for the area of a triangle
Answer: [tex]\frac{2A}{h} = w[/tex]
Step-by-step explanation:
The formula for area of a triangle is [tex]A = wh\frac{1}{2}[/tex]
Now we have to isolate for w.
First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.
[tex]2A = wh\\[/tex]
Now divide by h to isolate w.
[tex]\frac{2A}{h} = w[/tex]
Some students spend these amounts in a cafe. £2.50, £3, £1, £4, £0.50,
£3, £1, £1, £2.50, £1. What is the range of the data?
Step-by-step explanation:
For finding range we will arrange it from least to greatest
0.50 1 1 1 1 2.50 2.50 3 4
So range = 4 - 0.50 = 3.50
After school, Marcus ran 3.2km and Cindy ran 1.95km. Who ran farther ? How much father?
Answer:
Marcus; 1.25 km
Step-by-step explanation:
Marcus ran farther than Cindy because 3.2 km is greater than 1.95 km.
How much farther is:
3.2 - 1.95 = 1.25 km
He ran 1.25 km farther than Cindy.
The person who ran further is the person who ran more kilometers.
The person who ran more kilometers is Marcus which means that Marcus ran farther.
The distance he ran farther by is:
= Distance Marcus ran - Distance Cindy ran
= 3.2 - 1.95
= 1.25 km
In conclusion, Marcus ran farther by 1.25 km.
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Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and the length of side Z X is n minus 2.
Answer:
The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.
Step-by-step explanation:
The lengths of the sides of the triangle XYZ are as follows:
XY = n + 4
YZ = 2n
ZX = n - 2
According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.
Then,
XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3
YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2
ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3
It is provided that n ≥ 5.
Then the sides of the triangle are:
XY = n + 4 ≥ 5 + 4 = 9
YZ = 2n ≥ 2 × 5 = 10
ZX = n - 2 ≥ 5 - 2 = 3
So, the longest side of the triangle is YZ. And the shortest side is ZX.
The largest angle of a triangle is opposite to the longest side.
The angle opposite to YZ would be X. So, the largest angle is ∠X.
The smallest angle of a triangle is opposite to the shortest side.
The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.
Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.
Only do question 17
50 points
Topic: Percentage
Answer:
see below
Step-by-step explanation:
Cedarville
Year 1
1200 * 8% = 96 people
At the end the population is 1296
Year 2
1296 * 7% =90.72
1296+90.72 =1386.72 people
Pinedale
1200*15%=180
1200+180 = 1380
Cedarville has more people at the end of 2 years by 6.72 people
Line CD passes through points C(3, -5) and D(6, 0) . what is the equation of the line CD in standard form?
Answer:
Option 2: 5x - 3y = 30
Step-by-step explanation:
Step 1: Find slope
(0-(-5))/(6-3) = 5/3
Step 2: Find b
y = 5/3x + b
0 = 5/3(6) + b
b = -10
Step 3: Write in slope-intercept form
y = 5/3x - 10
Step 4: Move x over
-5/3x + y = -10
Step 5: Multiply by -3 on both sides
5x - 3y = 30
And we have our final answer!
An airplane is 32,000 feet above the ground begins descending at a rate 2,500
feet
per minute. Write an equation to model the situation. *
Answer:
32000-2500x, let x equal number of minutes.
Step-by-step explanation:
Answer:
[tex]y=-2,500x+32,000[/tex]
Step-by-step explanation:
x is the rate of the elevation per minute, so -2,500 feet every minute. And 32,000 is the start elevation.
Help needed.......................
Answer: 7x^2+3y^2-4x
Choose the first option
Step-by-step explanation:
Ok, so let me show you how to do this.
First, distrubute the negative sign
12x^2-11y^2-13x-(5x^2-14y^2-9x)=
12x^2-11y^2-13x-5x^2+14y^2+9x
Now combine like terms
(12x^2-5x^2)=7x^2
(-11y^2+14y^2)=3y^2
(-13x+9x)=-4x
7x^2+3y^2-4x is the answer.
what is the product of -3xy^2 and (2x^2 - 4y)
Answer:
2 • (x2 - 2y)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
2x2 - 4y
Step 2 : See below
Step 3 : See below
Pulling out like terms :
3.1 Pull out like factors :
Answer: 2 • (x2 - 2y)
Hope this helps.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
Step-by-step explanation:
C
Slope and point on line of the equation y - 6= 3(x-5)
Easy claps
Answer: slope=3 and point is (5,6)
Step-by-step explanation: It's just basic prealgebra!
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase 100 of the original number of responses
Answer:
125%
Step-by-step explanation:
Since we already know that there was an increase of 100 responses, we have to divide 100 by 80 and multiply by 100:
100/80 * 100
= 125%
There was a 125% increase in the number of responses.
Answer:
125%
Step-by-step explanation:
Edg. 2020
Which graph best represents the linear function y = 3x -1
Answer:
c
Step-by-step explanation:
Simplify (12a5−6a−10a3)−(10a−2a5−14a4) . Write the answer in standard form
Answer:
[tex]=14a^5+14a^4-10a^3-16a[/tex]
Step-by-step explanation:
[tex]\left(12a^5-6a-10a^3\right)-\left(10a-2a^5-14a^4\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12a^5-6a-10a^3-\left(10a-2a^5-14a^4\right)\\-\left(10a-2a^5-14a^4\right):\quad -10a+2a^5+14a^4\\-\left(10a-2a^5-14a^4\right)\\\mathrm{Distribute\:parentheses}\\=-\left(10a\right)-\left(-2a^5\right)-\left(-14a^4\right)\\Apply\:minus-plus\:rules\\-\left(-a\right)=a,\:\:\:-\left(a\right)=-a\\=-10a+2a^5+14a^4\\=12a^5-6a-10a^3-10a+2a^5+14a^4[/tex]
[tex]\mathrm{Simplify}\:12a^5-6a-10a^3-10a+2a^5+14a^4:\quad 14a^5+14a^4-10a^3-16a12a^5-6a-10a^3-10a+2a^5+14a^4\\Group\:like\:terms\\=12a^5+2a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:12a^5+2a^5=14a^5\\=14a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:-6a-10a=-16a\\=14a^5+14a^4-10a^3-16a[/tex]
YEAR 9 MATHS PLEASE HELP ME
The pictures are in order - first being dwayne's and second being ivor's Dwayne Pipes uses this formula to work out the cost of a plumbing job in pounds.
Ivor Wrench uses this formula to work out the cost of a plumbing job in pounds. A job of x hours costs the same with Dwayne and Ivor.
Set up and solve an equation to work out x .
X=.........
The solution is: x = 10/3 hours
What is the equations with one variable?
An equation with one variable is a mathematical statement that involves an unknown quantity represented by a letter, usually x, and an equal sign, where the expressions on both sides of the equal sign have the same value.
We need to set up an equation using the given information to solve for x.
Let's start with Dwayne's formula:
Cost = 30x + 50
And Ivor's formula:
Cost = 45x
Since a job of x hours costs the same for both Dwayne and Ivor, we can set their formulas equal to each other:
30x + 50 = 45x
Simplifying and solving for x:
50 = 15x
x = 50/15
x = 10/3 hours
Therefore, the solution is: x = 10/3 hours
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Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan? Sarkis cannot draw a triangle with these side lengths. Sarkis can only draw one unique triangle with these side lengths. Sarkis can draw exactly two triangles with these side lengths. Sarkis can draw more than one triangle with these side lengths.
Answer:
SHE CANNOT pls mark brainleist
Step-by-step explanation:
If you use the Triangle Inequality Theorem, you will find that 4+10 equals 14, which is less than 16. It has to be greater than 16 to be a triangle.
Sarkis cannot draw a triangle with these side lengths. Therefore, option A is correct.
Given that, a triangle with sides measuring 4 ft, 10 ft, and 16 ft.
What are the conditions to construct a triangle?In the triangle, the sum of any two sides is always greater than the third side. The difference between any two sides of the triangle is always less than the third side.
Sarkis cannot draw a triangle with these side lengths. Therefore, option A is correct.
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10 points
Twenty Year 7 students recorded the number of times in a week that
they visited Wikipedia for information.
10 7 4 5 6 5 9 7 6 8
7 7 5 5 6 8 8 7 10
8
Find the modal number of visits.
4 visits
O 5 visits
6 visits
O 7 visits
Step-by-step explanation:
The mode is 7 because it is 5 times
Will mark brainliest!!!
A 3-pound piece of salami costs $14.99. A 12-ounce package of the same sliced salami costs $4.39. What is the difference in price per 4-ounce serving?
Answer
10.60$
Step-by-step explanation:
Please help me! “What is the equation of the vertical line through (-5, -2)?”
Answer:
x= -5
Step-by-step explanation:
Vertical lines go up and down so they have the same x value
x= -5
3(x + 6) – 2(x – 4) > 5(x + 2)
Answer:
4 >x
Step-by-step explanation:
3(x + 6) – 2(x – 4) > 5(x + 2)
Distribute
3x+18 -2x+8 > 5x+10
Combine like terms
x +26 > 5x+10
Subtract x from each side
x+26-x > 5x-x+10
26 > 4x+10
Subtract 10 from each side
26-10 >4x+10-10
16 >4x
Divide each side by 4
16/4 >4x/4
4 >x
12. Determine the rule of the quadratic functionſ
given the following information:
• When f(x) = ax^2+ bx+c, b2 = 4ac
• f(x) bigger than or equal to 0 for XER
• f(x) has an axis of symmetry of x = -5
• f(-1)=4
Answer:
f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄
Step-by-step explanation:
b² = 4ac, so the discriminant is 0. That means the quadratic has a repeated root, which is the vertex.
f(x) has an axis of symmetry of x = -5. That means the x-coordinate of the vertex is -5.
So f(x) = a (x + 5)².
f(-1) = 4, so the value of a is:
4 = a (-1 + 5)²
4 = 16a
a = ¼
The function is f(x) = ¼ (x + 5)². Converting to standard form:
f(x) = ¼ (x² + 10x + 25)
f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄
In the Soft Boulder Cafe each table has 3 legs, each chair has 4 legs and all the customers and the three members of staff have two legs each. There are four chairs at each table. At a certain time, three-quarters of the chairs are occupied by customers and there are 206 legs altogether in the cafe. How many chairs does the cafe have?
Answer:
32 chairs
Step-by-step explanation:
In the soft Boulder cafe they a chairs , table and customers and the 3 members staffs.
Each Table = 3 legs
Each Chairs = 4 legs
Each customer = 2 legs
Each members of staffs = 2 legs
4 chairs goes with each table. This means 4 × 4 = 16 legs of chairs for each 3 legs of table.
At a certain time 3/4 of the chairs are occupied by customers. That is 3 out of 4 chairs are occupied plus 6 tables . Therefore,
3 + 16 + 6 = 25 legs of table
206 legs altogether - the 6 legs of the staff(3 staffs has 6 legs)= 200 legs
This means 200 legs = 8 tables. Therefore,
8 tables requires 32 chairs
Please someone help
Answer:
cos is used if there is adjacent and hypotenuse
6+9 is same to. This question is tricky
Thanks
Answer:
9+6
Step-by-step explanation:
6 + 9 is similar to 9+6 because they both equal 15
Answer:
[tex]15[/tex]
Step-by-step explanation:
[tex]6 + 9 = 15[/tex]
For and example ,u have 6 apples with you and your friend gave more 9 apples to you. Now think how many apples are there with you. there are 15 apples.
hope this helps
brainliest appreciated
good luck! have a nice day!