What are the similarities and differences between the standard form and vertex form of a quadratic equation?
Step-by-step explanation:
Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.
Please help. 10 points. Identify the common difference OR common ratio, depending on whether the sequence below is arithmetic or geometric. Then use the appropriate formula to write a rule for the sequence. Finally, use the rule to find the tenth term in the sequence.
–15, –9, –3, 3, 9, ...
Answer:
hope this helps! please mark brainliest
Step-by-step explanation:
The COMMON DIFFERENCE is 6
so it's a arithmetic sequence.
The formula is an = a1 + (n-1)d
to find the 10th term: a10 = -15 + (10-1)6
the 10th term is 39
*a1 = the 1 is supposed to go underneath it but can't type it on computer
*an = the n is supposed to go underneath it also
f f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)?
Answer:
f(g(x))=5-(7/x)
Step-by-step explanation:
f(x)=(x-3)/x
g(x)=5x-4
f(g(x))=((5x-4)-3)/x
f(g(x))=(5x-7)/x
f(g(x))=(5x/x)-7/x
f(g(x))=5-(7/x)
Select the correct answer from each drop-down menu.
If x = (10 - 3i) and y= (3 - 10i), then xy=
and r/y
Answer:
[tex]xy=30-109i+30i^2[/tex]
Step-by-step explanation:
If x=(10-3i) and y=(3-10i), then xy=
[tex](10-3i)(3-10i)=[/tex]
Using the FOIL method:
First: [tex]30[/tex]
Outer: [tex]-100i[/tex]
Inner: [tex]-9i[/tex]
Last: [tex]30i^2[/tex]
[tex]30-100i-9i+30i^2=\\30-109i+30i^2[/tex]
[tex]xy=30-109i+30i^2[/tex]
Solve for x. 9x=3x−3
Answer:
x=-1/2
Step-by-step explanation:
9X = 3X + -3
Reorder the terms:
9X = -3 + 3X
Solving
9X = -3 + 3X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-3X' to each side of the equation.
9X + -3X = -3 + 3X + -3X
Combine like terms: 9X + -3X = 6X
6X = -3 + 3X + -3X
Combine like terms: 3X + -3X = 0
6X = -3 + 0
6X = -3
Divide each side by '6'.
X = -0.5
Answer:
x = -0.5Step-by-step explanation:
In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.
Step 1: Subtract 3x
6x = -3
Step 2: Divide by 6
-0.5
Step 3: Check
9(-0.5) = 3(-0.5) - 3
-4.5 = -4.5 ✅
I'm always happy to help :)
Which rate of change is bigger 1/4 or 3/4
Answer:
3/4
Step-by-step explanation:
The larger the number the greater the rate of change
3/4 > 1/4 so 3/4 has a greater rate of change
_______________________________
Hey!!
3/4 is bigger than 1/4
3/4 >1/4
Hope it helps...
Good luck on your assignment
_____________________________
Andre has a bowl of chocolates where 70% of them are milk chocolate and the remaining 30% are
white chocolate. The bowl contains a total of 20 chocolates. If he pulls two chocolates randomly from
the bowl without replacement, which of the following is closest to the probability that they are both
white chocolate?
1) 15.4%
2) 12.0%
3) 9.0%
4) 7.9%
Answer:
4) 7.9%
Step-by-step explanation:
Given:
% of milk chocolate = 70%
% of white chocolate = 30%
Total number of chocolate = 20
Number of milk chocolate:
[tex] \frac{70}{100} * 20 = 14 [/tex]
Number of white chocolate:
[tex] \frac{30}{100} * 20 = 6 [/tex]
From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.
2 white chocolates are picked at random without replacement.
Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]
Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]
To find probability that both of them are white chocolates, multiply probability of the first and second.
0.3 * 0.2632 = 0.07896
≈ 0.079
Convert to percentage by multiplying by 100.
0.079 * 100 = 7.9%
The probability that they are both
white chocolate is 7.9%
Timmy likes to eat his fruit snacks in pairs, with different flavors in each pair.
The fruit snacks come in Cherry, Grape, Lemon, and Orange. Which list shows
all possible combinations of two different fruit-snack flavors?
A. CL, CO, GL, GO, LC, LO, OG, OL
B. CC, CG, CL, CO, GG, GL, GO, LL, LO, OO
C. CL, CG, CO, GL, GO, LO
D. CL, GL, LO, OC
Answer: C
Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.
OR
Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.
Cherry: CL, CG, CO
Lemon: CL, GL, OL,
Grape: GC, GL, GO
Orange: CO, GO, LO
CL, CG, CO, GL, GO, LO
A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t
Answer:
a
Step-by-step explanation:
Radical roots occur as conjugate pairs
Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then
- 5 - [tex]\sqrt{3}[/tex] t is also a root → a
Can someone help me with this question please
Answer:
x <-8
Step-by-step explanation:
3-(2x-5) < -4(x+2)
Distribute
3 -2x+5 < -4x-8
Combine like terms
8 -2x < -4x-8
Add 4x to each side
8 -2x+4x< -4x-8+4x
8+2x < -8
Subtract 8 from each side
8-8+2x< -8-8
2x<-16
Divide by 2
2x/2 < -16/2
x <-8
Answer:
[tex]x < - 8[/tex]
First answer is correct
Step-by-step explanation:
[tex]3 - (2x - 5) < - 4(x + 2) \\ 3 - 2x + 5 < - 4x - 8 \\ 3 + 5 + 8 < + 2x - 4x \\ 16 < - 2x \\ \frac{16}{ - 2} < \frac{ - 2x}{ - 2} \\ x < - 8[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Determine the item that would be represented by the independent variable in this situation. Candice picked strawberries to make jam for the fair. each jar of jam requires 25 strawberries. If she wants to make 50 jars of jam, how many strawberries must Candice pick?
a. Candice
b. Strawberries
c. Jars
d. Fair
Answer:
The item that would be represented by the independent variable in this situation is:
b. StrawberriesStep-by-step explanation:
To identify if a variable is dependent or independent, you must think about what variable needs from other to accomplish the exercise, for example, the distance traveled and the time, suppose you want to see how much distance you travel in a determined time, in this case, the distance is a dependent variable and the time an independent variable, this is because the distance you travel depends on the time you use in this activity, but the time will continue advancing no matter if the distance is advancing or not, in the case given, the jars of jam depends on the number of strawberries that Candice has (more jars of jam needs more strawberries) but the strawberries don't depend on the jars of jam, so, the jars of jam are the dependent variable and the strawberries the independent variable.
Answer:
B
Step-by-step explanation:
If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)? a.)(f + g)(x)≥3 for all values of x b.)(f + g)(x) ≤ 3 for all values of x c.)(f + g)(x) ≤ 6 for all values of x d.)(f + g)(x) ≥6 for all values of x
Answer:
Answer (a)
Step-by-step explanation:
(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.
Since |x| cannot be less than zero, the range of this composite function
(f + g)(x) = |x| + 3 is [3, infinity). That is, the smallest value is 3. This corresponds to Answer (a).
Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minutes?
A. 40
B. 60
C. 20
D. 30
Answer:
C)20
Step-by-step explanation:
Cuz 160/8 is 20
Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.
Is ∆GAS ≅ ∆ ______
By rule _______
Answer:
GAS=IOL by rule ASA
Step-by-step explanation:
Answer
GAS = IOL
rule is ASA
Step-by-step explanation:
One number is six times another number. Their difference is 35. What are the two numbers?
Answer:
The numbers are 7 and 42
Step-by-step explanation:
Let x and y be the numbers
x = 6y
x-y = 35
Substitute the first equation into the second equation
6y -y = 35
Combine like terms
5y = 35
Divide by 5
5y/5 = 35/5
y = 7
Now find x
x = 6*y
x = 6*7
x = 42
Answer:
The two numbers are 42 and 7.
Step-by-step explanation:
6x-x=35
5x=35
x=7
6(7)=42
7=7
A. -3/2
B.2/3
C.-2/3
D.3/2
I need help pls
Answer:
The slope of the line is D. 3/2.
Step-by-step explanation:
Solve the equation: 9k - 2 - 43
If an electric circuit is not grounded, it is best to reach out and touch it to
provide the ground.
O A. True
O B. False
Please answer the question stated below
Answer:
76.58 feet.
Step-by-step explanation:
A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.
Answer:
132.25 feet
Step-by-step explanation:
total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75
additional rope needed= 300-167.75= 132.25
Step-by-step explanation:
Marci hiked 15 miles from Park Headquarters to Blue Lake in 5 hours. What was her average speed?
Answer:
3 miles per hour
Step-by-step explanation:
The formula for average speed is: [tex]R = \frac{D_{total} }{T_{total} }[/tex] R being rate, D being distance, T being time. We substitute the values to get [tex]R = \frac{15}{5}[/tex] Simplified 3. Her average speed was 3 miles per hour. Hope this helps!
Answer:
3 miles per hour.
Step-by-step explanation:
15 divided by 5 is 3
each hour he would have covered 3 miles of distance.
on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line
Answer:
the intercept is 3/4
Step-by-step explanation:
it's the number in front of the x lol
Which algebraic expression represents “the quotient of a number and six”? 6 + w 6w 6 – w StartFraction w Over 6 EndFraction
Answer:
The one with the fraction is the answer.
Step-by-step explanation:
Quotient means dividing, so the answer has to have a fraction sign in it. We can't see the answer options properly, so whatever one with the fraction is the one you should choose. I think it's the third option that you wrote.
Hope this helped!
Answer:
It’s d
Step-by-step explanation:
please help me i’ve been stuck on this
Answer:
The odd that B draws an ace is 3/51 or 1/17
No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think
On a fair, 8-sided die, each face is painted as follows: the 1 and 2 are painted green, 3 through 6 are painted blue, 7 is painted yellow, and 8 is painted gray. If the die is rolled one time, what is the probability that the roll will show an even number AND a face that is painted blue? Provide the final answer as a fraction.
Answer:
0.25
Step-by-step explanation:
outcomes painted in blue: {3, 4, 5, 6}
number of even outcomes painted in blue: 2
number of total outcomes: 8
Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25
The relationship between the number of pounds (lb) of peppers and the
total cost in dollars is shown in the graph. What is the unit price of
peppers?
(Brainly this isn't a quiz for me so don't at me)
Explanation:
The unit price is the price of 1 unit, in this case one pound. So we locate x = 1 on the x axis, draw a vertical line upward til we get to the diagonal line, and then draw a horizontal line until we reach the y axis. You should arrive at y = 3.
Answer:
3$/1lb
Step-by-step explanation:
thats the answerrrr
The product of 7 × b is less than 7 but greater than 0.
b>____
b<____
Pleasee
Answer:
b<1 b>0
Step-by-step explanation:
7b<7
b<1
7b>0
b>0
How much time is needed for a boy on roller skates to slow down from 17.4
m/s to 9.11 m/s if he covers 45.0 m?
Answer:
Step-by-step explanation:
v²-u²=2as
9.11²-17.4²=2a×45
a=-(17.4²-9.11²)/90=-(302.76-82.9921)/90=-219.7679/90 m/s²
v=u+at
9.11=17.4-219.7679/90 t
9.11-17.4=-219.7679/90t
-8.29×90=-219.7679t
t=-746.1/-219.7679≈3.395 s
What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)
Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
Subtract y from both sides
2x= -y+5
Subtract 5 from both sides
2x-5= -y
Multiply both sides by 4
8x-20= -4y
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
Subtract 11 from both sides
5x-11= -4y
Combine equations:
5x-11=8x-20
Subtract 5x from both sides
-11=3x-20
Add 20 to both sides
9=3x
3x=9
Divide both sides by 3
x=3
Solving for y:
2x+y=5
Subtract y from both sides
2x= -y+5
-y+5=2x
Multiply both sides by 5
-5y+25=10x
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
-4y+11=5x
Multiply both sides by 2
-8y+22=10x
Combine equations:
-8y+22= -5y+25
Add 8y to both sides
22=3y+25
Divide both sides by 25
-3=3y
3y= -3
Divide both sides by 3
y= -1
Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select three options.
If p = a number is negative and g = the additive inverse is positive, the original statement is p - 9.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is p -9.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~g - p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is perq.
Ulf g = a number is negative and p = the additive inverse is positive, the converse of the original statement is 9 - p.
Step-by-step explanation:
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
Which of the following questions describes the equation 4n = -24?
What number, when multiplied by -24, equals 4?
What number, when divided by 4, equals -24?
What number, when multiplied by 4, equals -24?
What number, when divided by -24, equals 4?