Answer:
if one equation has no real roots, the other must have real roots. Hence, at least one equation has real roots.
Step-by-step explanation:
The discriminant of the first equation is ...
d1 = b^2 -4ac
The discriminant of the second equation is ...
d2 = b^2 +4ac
__
Suppose the first equation has no real roots. Then ...
d1 < 0
b^2 -4ac < 0
b^2 < 4ac
We know that b^2 is non-negative, so this means 4ac is positive. For that case,
d2 = b^2 +4ac
is the sum of a positive number and a non-negative number so will be positive. When the discriminant is positive, there are two real roots.
When the first equation has no real roots, the second one must have two real roots.
__
Suppose the second equation has no real roots. Then ...
d2 < 0
b^2 +4ac < 0
b^2 < -4ac
Again, b^2 is non-negative, so -4ac must be positive. For this case, the sum ...
d1 = b^2 -4ac
is the sum of a non-negative and a positive number, so will be positive. The positive discriminant means there are two real roots.
When the second equation has no real roots, the first one must have two real roots.
One of these equations will have real roots, or not. If not, the other must have (distinct) real roots.
The central angle of sector R is 38° and the central angle of sector Q is 39°. What is the probability that the spinner does not land on Q or R? P Q R S T U
Answer: 0.786
Step-by-step explanation:
Here i would assume that:
Sector R and Sector Q do not have any sections in common.
Then, the probability that the spinner does not land on Q or R, is equal to the probability where the spinner does not land in a specified section of:
38° + 39° = 77°.
Now, the total section off the spinner is 360°.
If we remove those 77°, we have a section of:
360° - 77° = 283°
So we have 283° where the spinner CAN land on.
Then the probability that the spinner does NOT land on R or Q is equal to the quotient between the section of the spinner that is not R or Q, and the total section of the spinner"
P = 283/360 = 0.786
So the probability is 0.786
I need help. I don’t understand what I have to do
Answer:
Hey there!
3x-5+2x+2+3x+5
3x+2x+3x-5+2+5
8x+2=90
8x=88
x=11
Let me know if this helps :)
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
MA is perpendicular to AT.
To find: angle HAT.
Now,
angle HAT + (2x + 2)° + (3x + 5)° = 90° { As MA perpendicular to AT. }
Now,
Replace angle HAT by (3x - 5)°.
(3x-5)° + (2x+2)° + (3x+5)° = 90°
Open brackets,
3x - 5° + 2x + 2° + 3x + 5° = 90°
Add like terms.
8x + 2°= 90°
8x = 90°-2°
[tex]x = \frac{88°}{8} [/tex]
x= 11°.
Now, finding the value of angle HAT.
(3x-5)° = 3×11°-5°
Therefore, angle HAT is 28°.
Hope it helps...
If the discriminant of a quadratic equation is 4 which statement describes the roots.
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is >0 then the equation has 2 real roots
If the discriminant is =0 then the equation has 1 real roots
If the discriminant is <0 then the equation has 2 complex roots
since the discriminant is 4, it has 2 real roots
Answer:
It will have 2 real roots
Step-by-step explanation:
4>0 :)
What is the actual distance of 9 cm on a map whose scale shows that 3 cm = 5 km? A. 18 km incorrect answer B. 12 km incorrect answer C. 21 km incorrect answer D. 15 km
Answer:
15 km
Step-by-step explanation:
3 cm on the map = 5 km
3 x 3 = 9 cm
5 x 3 = 15 km
So, 9 cm on the map = 15 km
Answer:
D. 15 km
Step-by-step explanation:
please help me!!!!!
Answer: 194
Step-by-step explanation:
1. Square both sides to get (b+2)=14^2=196
2. Subtract 2 from both sides to get b=194
please help me on this !
Answer:
B.) 20
Step-by-step explanation:
We know the midpoint of half of the segment, which is 5. You can use this to find the length of half, after which you can find the entire length by multiplying by 2:
[tex]RN+NS=RS\\5+5=10\\HR+RS=HS\\10+10=20[/tex]
The length of HS is 20.
7is subtracted from the quotient of 48 divided by th
e sum of 5 & difference of 11 and 8
Answer:
7-48=41
÷
5+11-8
bodmas
5+3=8
41÷8=5.125
Answer:
-1
Step-by-step explanation:
48/(5+(11-8) -7
48/(5+3) -7
48/8 -7
6-7
-1
i hope it helped you. i tried you help you
The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.
Which statement about the stamps is correct?
Karl has stamps in his desk drawer. The possible
combinations of stamps are shown below.
Karl's Stamp Collection
The total number of stamps is 25.
The total value of the stamps is $18.75.
The total number of stamps is 35.
The total value of the stamps is $19.15.
Number of
Number of
45-cent stamps 65-cent stamps
18
17
2015
22
13
10
25
Answer: C.) The total number of stamps is 35.
Step-by-step explanation:
Given the table :
No of 45-cent stamp - - - No of 65-cent stamp
- - - - - - - 18 - - - - - - - - - - - - - - 17
- - - - - - - 20 - - - - - - - - - - - - - - - 15
- - - - - - 22 - - - - - - - - - - - - - - 13
- - - - - - 10 - - - - - - - - - - - - - - - - 25
Verifying each option stated :
Total value of stamp:
Each row add up to 35. Example (18 + 17) = 35
(20 + 15) = 35
(22 + 13) =35
(10 + 25) = 35
Total value of stamp:
Using the first row:
45 cent = $0.45 ; 65 cent = $0.65
(10 * 0.45) + (25 * 0.65)
= $4.5 + $16.25 = $20.75
Not all rows add up to $19.15
Answer:
Your answer is C
Step-by-step explanation:
the density of concentrated sulphuric acid is 1.8 g/cm.calculate the volume of 3.1 kg of the acid
Step-by-step explanation:
[tex]density = \frac{mass}{volume} \\ volume = \frac{mass}{density} \\ changing \: 1.8 {gcm}^{ - 3} to \: {kgm}^{ - 3} \\ multiply \: by \: 1000 \\ = 1800 {kgm}^{ - 3} \\ volume = \frac{3.1}{1800} \\ = 0.00172 {m}^{ 3} [/tex]
The volume of 3.1 kg of concentrated sulfuric acid is 1722.22 [tex]cm^{3}[/tex].
Here's the solution:
The density of concentrated sulfuric acid is 1.8 g/[tex]cm^{3}[/tex]. This means that 1.8 grams of concentrated sulfuric acid will occupy 1 cubic centimeter of space.
If we have 3.1 kg of concentrated sulfuric acid, then we have 3100 grams of concentrated sulfuric acid.
The volume of this amount of concentrated sulfuric acid will be:
volume = mass / density
volume = 3100 g / 1.8 g/[tex]cm^{3}[/tex]
volume = 1722.22 [tex]cm^{3}[/tex]
Therefore, the volume of 3.1 kg of concentrated sulfuric acid is 1722.2[tex]cm^{3}[/tex]
Learn more about volume here: brainly.com/question/28058531
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The graph below is a portion of the complete graph. On a separate sheet of paper sketch the complete graph assuming it is symmetric with respect to the x-axis. Then list 3 points from the new part of the graph that you sketched.
Answer:
(-1, -3), (-2, -5), (-5, -8),(-8, -5), (-9, -3)
Step-by-step explanation:
These are the options of points to pic from. :)
have a good day.
You have to catch the bus at 11:15am for a movie! It
takes you twenty minutes to shower and dress, fifteen minutes to eat breakfast, and ten
minutes to walk to the bus stop. By what time should you get you get up?
Answer:
Hey there!
To solve this problem, we must first find the total amount of time it takes for you to get ready in the morning!
20 minutes for shower + 15 minutes to eat + 10 minutes to walk.
This is a total of 20+15+10 or 45 minutes.
For our answer, we have that you should wake up 45 minutes before 11:15, which is 10:30 AM.
Let me know if this helps :)
Answer:
10:30 am
Step-by-step explanation:
11:15 am - 20 min = 10:55 am10:55 am - 15 = 10:40 am10:40 am - 10 = 10:30 amI hope this helps!
At a corner bakery, 6 croissants and 3 cups of coffee costs $25.95. An order of croissants and 6 cups of coffee costs $26.70. What is the cost of an order of 1 croissants and 1 cup of coffee?
Answer:
$6.36
Step-by-step explanation:
this is a system of equations problem. There are two main methods for this type of problem: elimination and substitution(I used both here). A-croissants, B-coffee.
The cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
We need to form the system of equations for the given statement.
What is the system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Let the cost of croissants be x and the cost of cups of coffee be y.
6 croissants and 3 cups of coffee costs $25.95
6x+3y=25.95-----(1)
1 croissant and 6 cups of coffee cost $26.70
x+6y=26.70-----(2)
(6x+3y)6=25.95×6
⇒36x+18y=155.7-----(3)
(x+6y)3=26.70×3
⇒3x+18y=80.1-----(4)
Subtract (4) from (3).
That is, 36x+18y-(3x+18y)=155.7-80.1
⇒33x=75.6
⇒x=2.3
Substitute x=2.3 in equation (1).
That is, 6(2.3)+3y=25.95
⇒3y=12.15
⇒y=4.05
Therefore, the cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
To learn more about the system of equations visit:
https://brainly.com/question/21620502.
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When converting θ = π/3 to a Cartesian equation, let x = ____
1/2 r
√2/2 r
√3/2 r
The equations
[tex]x = r*\cos(\theta)\\\\y = r*\sin(\theta)[/tex]
are useful to convert from polar to Cartesian
So,
[tex]x = r*\cos(\theta)\\\\x = r*\cos\left(\frac{\pi}{3}\right)\\\\x = r*\frac{1}{2} \ \text{ use unit circle} \\\\x = \frac{1}{2}r[/tex]
Answer: Choice AGiven: 5x – 21 = 24
Prove: X = 9
list the statements
Stacy milk to make pancake batter. The recipe calls for 3/4 of jug of She 1/4 a jug How much more milk does she need?
Answer:
More milk does she need = 1 / 2 jug
Step-by-step explanation:
Given:
Recipe call milk = 3/4 jug
Stacy had = 1/4 jug
Find:
More milk does she need
Computation:
More milk does she need = 3/4 - 1/4
More milk does she need = (3 - 1) / 4
More milk does she need = 2 / 4
More milk does she need = 1 / 2 jug
A is the midpoint of LB, LB = 6x - 17 and AB = 2x + 3
I would appreciate some help :)
Answer:
See below
Step-by-step explanation:
(a) Remember that the median of any data set is represented by the " middle line " of the box plot. The median of Brand X would be 13, and the median of Brand Y would be 16.
(b) The median of each respective box plot is not in range of their respective boxes. Therefore Brand X has a much smaller time span that Brand Y. This proves that one would favor Brand Y over Brand X.
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of . What type of sampling is used? A. Systematic B. Stratified C. Convenience D. Simple random E. Cluster
Answer: systemic
Step-by-step explanation:
Select the correct answer.
Which expression simplifies to 2V15?
O A. 17
19
V30
D. V60
HELP!! im doing the plato test rn
Answer:
D
Step-by-step explanation:
Prime factorize 60
[tex]\sqrt{60}=\sqrt{2*2*3*5}=2\sqrt{3*5}=2\sqrt{15}[/tex]
what is 7/2 as a mixed number
Hello! :)
Answer:
[tex]\huge\boxed{3\frac{1}{2}}[/tex]
[tex]\frac{7}{2}[/tex] as a mixed number:
Divide 2 from 7 and find the remainder:
7 ÷ 2 = 3 R 1.
An improper fraction in mixed form has the quotient as the coefficient, and the remainder over the fraction. Therefore:
[tex]\frac{7}{2} = 3\frac{1}{2}[/tex]
Answer:
[tex]3\frac{1}{2}[/tex]
Step-by-step explanation:
Step 1: Define mixed fraction
A mixed fraction is a number with a whole number and a fraction together
Step 2: Find mixed fraction
Ask how many time can 2 completely fit into 7 without leaving anything left over, 2 fits in 7 3 times because 2 x 3 = 6 and 7 - 6 is 1. We put 3 in front of the fraction and we keep the 1 left over in the numerator of the fraction with 2 as the denominator to get [tex]3\frac{1}{2}[/tex]
The upper-left coordinates on a rectangle are (-5, 6)(−5,6)left parenthesis, minus, 5, comma, 6, right parenthesis, and the upper-right coordinates are (-2, 6)(−2,6)left parenthesis, minus, 2, comma, 6, right parenthesis. The rectangle has a perimeter of 16units.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
The upper-left coordinates on a rectangle are (−5,6) and the upper-right coordinates are (−2,6). The rectangle has a perimeter of 16units. Draw the rectangle on the coordinate plane below.
If the coordinates of the top of the triangle (breadth) is (−5,6) and (−2,6), we can calculate the breadth of the rectangle by taking the difference between the two points using the formula:
D = √(y₂-y₁)²+(x₂-x₁)²
Given x₁ = -5, y₁= 6, x₂ = -2 and y₂ = 6
D = √(6-6)²+(-2-(-5))²
D = √0²+3²
D = √9
D = 3 units
Breadth = 3 units
Given the Perimeter to be 16 units and the formula for calculating the perimeter of rectangle t be P = 2(L+B), we can get the length of the rectangle.
16 = 2(3+L)
16 = 6+2L
16-6 = 2L
2L = 10
L = 10/2
L = 5 units.
Hence the length of the rectangle is 5 units and the breadth is 3 units. Find the diagram in the attachment.
Answer:
This other person is correct! I checked =)
Step-by-step explanation:
The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)
If [tex]x=0[/tex], then [tex]y=a\cdot0^2+b\cdot0+c=5[/tex], so [tex]c=5[/tex].
If [tex]x=1[/tex], then [tex]y=a\cdot1^2+b\cdot1+c=2[/tex], so [tex]a+b+5=2[/tex] or [tex]a+b=-3[/tex].
If [tex]x=2[/tex], then [tex]y=a\cdot2^2+b\cdot2+c=1[/tex], so [tex]4a+2b+5=1[/tex] or [tex]2a+b=-2[/tex].
We have
[tex]a+b=-3\implies -a-b=3[/tex]
[tex](2a+b)+(-a-b)=-2+3[/tex]
[tex]\implies a=1\implies b=-4[/tex]
So we end up with
[tex]a+b+c=1+(-4)+5=\boxed{2}[/tex]
In the equation 18/2 = 9, nine is the:
Answer:
Quotient.
Step-by-step explanation:
You get a quotient by dividing something. It is the end result, the solution.
Answer: quotient
Step-by-step explanation: The answer to a division
problem is called the quotient.
So here we say the quotient of 18/2 is 9.
Valerie is the building manager for the cowardly enterprise office building One of her responsibilities is cleaning the office buildings 200 gallon aquarium for cleaning she must remove the fish from the aquarium in drain the water the water drain a constant rate of 10 gallons per minute what is the independent and dependent variables
Answer:
The independent variable = The volume of water in the aquarium
The dependent variable = The time it will take to drain the aquarium
Step-by-step explanation:
The independent variable, as indicated in the name is the variable that is not influenced by other variables but can predetermine its own self and it is not altered by the other variables being analysed
Therefore, the independent variable is the water in the 200 gallon aquarium
The dependent variable, is the tested or measured variable and is dependent on the independent variable, which is the time it takes to drain the 200 gallon aquarium.
Ali's heart beats 320 times in 4 minutes. How many beats per minute is that?
Answer:
90 beats per minute
Step-by-step explanation:
320 divided by 4 is 90, which would mean that there is 90 beats per minute
Answer: the answer is 64 beats.
Step-by-step explanation:
When bisecting a line segment, why must you find the intersection points of the arcs both above and below the line segment?
(1 point
The intersection point above the line segment overestimates the midpoint, while the intersection point below the line segment
underestimates the midpoint
Only one intersection point is needed to find the midpoint, but finding both points allows you to check your work
Finding both intersection points helps if the line segment is not completely vertical or horizontal
Ite
To make sure that you get a straight ine to bisect the line segment
Answer:
To make sure that you get a straight line to bisect the line segment
Step-by-step explanation:
Answer:
The last option.
Step-by-step explanation:
You get a straight line that passes through the midpoint.
please help me out!
simplify:
|-5| + 2
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Recall that absolute value is the positive of a real number so
|-5| = 5
This added to 2 gives 7
3x=9 divide each side by 3 x=3
Answer:
3
Step-by-step explanation:
3x=9
3(3)=9
3/3=0=9/3=3
answer=3
-8 + 10 + (-3) -(-2)
Answer:
1
Step-by-step explanation:
-8 + 10 + (-3) - (-2)
=> -8 + 10 - 3 + 2
=> 12 - 11
=> 1
Answer:
1Step-by-step explanation:
[tex]-8+10+\left(-3\right)-\left(-2\right)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\-8+10=2\\\\=2+\left(-3\right)-\left(-2\right)\\\\\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a\\\\+\left(-3\right)=-3\\\\=2-3-\left(-2\right)\\\\2-3=-1\\\\=-1-\left(-2\right)\\\\=-1+2\\\\=1[/tex]