Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.
HELP :/ At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total cost of $21.75, not including tax, how many of each type of fish did she buy?
Answer:
Sarah bough 3 Angelfish and 5 Bloodfin Tetra
Step-by-step explanation:
Let a be the number of Angelfish fish and
b be the number of Bloodfin fish
Then according to the given statements
we get the following equations
[tex]a+b = 8\ \ \ Eqn\ 1\\4.75a+1.50b=21.75\ \ \ Eqn\ 2[/tex]
From Equation 1
[tex]a = 8-b[/tex]
Putting in equation 2
[tex]4.75(8-b)+1.50b = 21.75\\38-4.75b+1.50b = 21.75\\38-3.25b = 21.75\\-3.25b = 21.75-38\\-3.25b = -16.25\\\frac{-3.25b}{-3.25} = \frac{-16.25}{-3.25}\\b = 5[/tex]
Putting b=5 in equation 1
[tex]a+5 = 8\\a = 8-5 = 3[/tex]
Hence,
Sarah bough 3 Angelfish and 5 Bloodfin Tetra
Calcula x para que sean ciertas las igualdades siguientes:
a. 3x = 243
b. 53 = x
c. x 2 = 64
d. 2x = 128
e. 9x = 729
f. 10x =10.000
Ayuda
PLEASEEEE HELPPP!!
Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure
Answer:distributive
Step-by-step explanation:
The table and graph represent the music downloads Jamila purchased. Downloads (x) 4 6 8 12 Dollars (y) 3 4.5 6 9 If the relationship is proportional, which additional ordered pair would be on the graph?
Answer:
(7, 5.25)
Step-by-step explanation:
got it correct on edgeunity hope this helps ya
Answer:
its the second option on edge 2020
Step-by-step explanation: did the assignment
PLEASE HELP I WILL MARK AND 5 STARS SOLVE AND EXPLAIN THANKS
Please help I'll give brainliest to right answer
20m + 6m − 17m = 9
What does "M" equal?
Answer:
m is 1
Step-by-step explanation:
ez mathzzzzzzzzzzz
The Gorilla eats 39 pounds of food each day. Gracie eats 165 pounds of food each day. If you round the 39-40 and 165- 160. About how much more does Gracie eat than the gorilla each day
Answer:
Gracie eats 120 more.
Step-by-step explanation:
i know that 160 - 40 = 120
HELP
What is the measure of an exterior angle of a regular 45-gon?
Answer:Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .
Step-by-step explanation: hope this helps ;)
Answer:
8
Step-by-step explanation:
Separate 185 into two parts so that one part is 31 more than the other part. Find each part.
9514 1404 393
Answer:
108, 77
Step-by-step explanation:
Let x represent the larger part. Then ...
x + (x -31) = 185
2x = 216
x = 108
x -31 = 77
The two parts are 108 and 77.
Can somebody help me with this. Will mark brainliest!
Answer:
The length of FG is 2.
Step-by-step explanation: B and F are the same point, just reflected, so BC=FG.
How do I write an equation in slope-intercept form for the line with slope 2/3 & y-intercept -3
Answer:
Step-by-step explanation:
ok equation are like fraction but let me put it like this lets say x+y=7;x+2y=11 thats how you do eqution done.
An airline charges more money for bags weighing over 50 pounds. Your bag weighs 45.83 pounds. How much more weight can you put in your bag before it reaches 50 pound
Answer:
4.17 Pounds
Step-by-step explanation:
To get to 50 pounds you have to subtract 50 by the amount of weight on your own bag, so 50-45.83. That would get you 4.17. Hope this helps!
The Idol's Eye diamond weighs 79.2 carats.The Blue Hope diamond weighs 33.68 carats less than the Idol's Eye.What is the weight of the Blue Hope diamond?
Answer:
45.52
Step-by-step explanation:
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.
Answer:
A) 2
B) 71
c) 4
D)42
Step-by-step explanation:
Draw the Venn diagram starting from the intersection of all
does anyone know this.
i will give brainliest
Answer:
4.1 x 10^8
Step-by-step explanation:
Answer:
The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.
There are 30 students in Mrs. Martinez's class.
1/5 of the class has an Android cell phone.
1/2of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
A 6 students
B 21 students
C 9 students
D 15 students
Mrs. Purple bought 3.5 yards of yellow fabric. She used ⅔ of the fabric to make a chicken costume. Then she used the remaining fabric to make plush banana toys for her seven dogs. How much fabric was used to make each banana?
Answer:
[tex]0.17\ \text{yards}[/tex]
Step-by-step explanation:
Total length of yellow fabric = 3.5 yards
[tex]\dfrac{2}{3}[/tex] of the yellow fabric was made to make a chicken costume.
So, the fraction of the yellow fabric used to make toys for her 7 dogs is
[tex]1-\dfrac{2}{3}=\dfrac{1}{3}[/tex]
The amount of fabric to make the 7 toys is
[tex]\dfrac{1}{3}\times 3.5=1.17\ \text{yards}[/tex]
Assuming that equal amount of fabric was used for 1 toy for 7 of her dogs each.
The amount of fabric used for 1 dog's toy is
[tex]\dfrac{1}{7}\times 1.17=0.17\ \text{yards}[/tex]
The amount of fabric used to make each banana is [tex]0.17\ \text{yards}[/tex].
Someone wanted this for an assignment so here's the answer...
Corresponding Angles!
Answer:
need my points
Step-by-step explanation:
A partial construction of a median of a triangle JKL is shown below
complete the statements
Point _ is the midpoint of side JK. to finish the construction, draw a segment from vertex _ to point _
Then, segment _ is a median of triangle JKL
Answer:
1. E , 2. JK , 3. L , 4. E , 5. LE
Step-by-step explanation:
JUST TOOK THE TEST.
Answer:
Complete the statements.
Point
✔ E
is the midpoint of side
✔ JK
.
To finish the construction, draw a segment from vertex
✔ L
to point
✔ E
.
Then, segment
✔ LE
is a median of triangle JKL.
Step-by-step explanation:
The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in dollars per metric ton What are the values for quantity and price at the intersection point of the two curves? To find the values, first use addition to combine the left sides and to combine the right sides of the two equations.
Answer:
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
Step-by-step explanation:
From statement we get the following equations:
Supply curve
[tex]90\cdot x - y = -50[/tex] (1)
Demand curve
[tex]10\cdot x + y = 200[/tex] (2)
Where:
[tex]x[/tex] - Quantity, measured in thousands of metric tons.
[tex]y[/tex] - Price, measured in US dollars per metric tons.
If we add both equations, then we find that quantity is:
[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]
[tex]100\cdot x = 150[/tex]
[tex]x = \frac{3}{2}\,kton.m[/tex]
Then, we finally find the price by substituting on (2):
[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]
[tex]y = 200-15[/tex]
[tex]y = 185\,USD[/tex]
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. If he has 20 blueberries and 30 grapes, what is the maximum number of bags of snacks that he can pack so that each bag has the same number of blueberries and grapes?
Answer:
: 0
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I did the test
how to write this numbers in word 76.68
Answer:
seventy-six and sixty-eight hundreths
Step-by-step explanation:
Answer:
seventy six point sixty eight
Step-by-step explanation:
Tbh it depends on the person, but this is how I would say it out loud.
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
•-5
•-2
•2
•5
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Help please :((((((((((((((
Step-by-step explanation:
connect the points p and s
and comnect the points q and t
take triangle PQS and triangle TSQ
SQ similar to SQ
PQ similar to QS
QS similar to ST
therefore triangle PQS similar to triangle TSQ
Therefore , PQ/ QS = ST/ QS
PQ=ST
The chances that a student will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS is 40%. Suppose that 20 students are selected at random then find a probability that i)Exactly 12 students will get 7 marks out 10 in the Quiz. ii)Fewer than 10 students will get 7 marks out 10 in the Quiz. iii)At least 5 students will get 7 marks out 10 in the Quiz.
Answer:
i) [tex]P(X=12)=0.0355[/tex]
ii) [tex]P(X<10)=0.7553[/tex]
iii) [tex]P(X\geq 5)=0.9490[/tex]
Step-by-step explanation:
Let's start by defining the random variable ⇒
[tex]X:[/tex] '' Number of students that will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS ''
[tex]X[/tex] is a discrete random variable.
The probability of a randomly selected student getting 7 marks out of 10 is 0.4
(This is a data from the question).
Now, if we assume independence between the students while they are doing the Quiz and also we assume that this probability remains constant , we can modelate [tex]X[/tex] as a binomial random variable ⇒
[tex]X[/tex] ~ Bi (n,p)
Where ''n'' and ''p'' are the parameters of the variable.
''n'' is the number of students attempting the Quiz and ''p'' is the probability that a student will get 7 marks out of 10 which is 0.4 ⇒
[tex]X[/tex] ~ Bi (20, 0.4) in the question.
The probability function for [tex]X[/tex] is
[tex]p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}[/tex] (I)
Where [tex]\left(\begin{array}{c}n&x\end{array}\right)[/tex] is the combinatorial number define as
[tex]\left(\begin{array}{c}n&x\end{array}\right)=\frac{n!}{x!(n-x)!}[/tex]
Replacing the parameters in the equation (I) ⇒
[tex]P(X=x)=\left(\begin{array}{c}20&x\end{array}\right)(0.4)^{x}(0.6)^{20-x}[/tex] (II)
For i) we need to find [tex]P(X=12)[/tex]
Then, we only need to replace by [tex]x=12[/tex] in equation (II) ⇒
[tex]P(X=12)=\left(\begin{array}{c}20&12\end{array}\right)(0.4)^{12}(0.6)^{8}=0.0355[/tex]
For ii) we need to calculate [tex]P(X<10)[/tex]
This probability is equal to ⇒ [tex]P(X<10)=P(X\leq 9)[/tex] and to calculate it we need to sum [tex]P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)[/tex]
[tex]+P(X=6)+P(X=7)+P(X=8)+P(X=9)[/tex]
We can do it summing each term or either using any program.
The result is [tex]P(X<10)=P(X\leq 9)=0.7553[/tex]
Finally for iii) we need to find ⇒ [tex]P(X\geq 5)[/tex]
This probability is equal to ⇒ [tex]P(X\geq 5)=1-P(X\leq 4)[/tex] ⇒
[tex]1-P(X\leq 4)=1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)][/tex]
Again we can find each term by using the equation (II) or either using a program. The result is [tex]P(X\geq 5)=0.9490[/tex]
A chess Club with 80 members is electing a new president. Yoko received 72 votes. What percentage of club members voted for Yoko?
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10
and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Hope this helps!
Help me solve this problem please
Answer:
The answer is B cause thats the slope of the line
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
for starters the equation is:
y = -2/4 + 3
It then simplifies to:
y = -1/2 + 3
Making your answer B.
6y²-9xy
PLEASE HELP
.
.
.
Which ordered pair is a solution of the system of equations shown in the graph below?
Answer: A
Step-by-step explanation:
Answer:
(0,-1)
Step-by-step explanation:
because the line crosses through (0,-1) the vertex is (0,-4)
-6(2+a)=-48 what is the value for a
Answer:
6
Step-by-step explanation:
-6(2+a) = -48
-6 × 2 + -6 × a = -48
-12 - 6a = -48
-6a = -48 + 12
-6a = -36
a = -36/-6
a = 6
hope you understood!