the vertex of y=(x-4)(x+2)
Answer:
(1,-9)
Step-by-step explanation:
Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The vertex is located on the axis of symmetry
The axis of symmetry is at the midpoint of the zeros
Find the zeros by letting y = 0, that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 4 = 0 ⇒ x = 4
Then equation of axis of symmetry/ x- coordinate of vertex is
x = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = (1 - 4)(1 + 2) = (- 3)(3) = - 9
vertex = (1. - 9 )
John needs 20grams of a 54% acid solution for his science project. His school's science lab has 30% solution and bottles of 60% solution. How much of each should John use?
Answer:
If you were to multiply the percentages by the numberws your using to the AB formula you can get the answer 252 B
Step-by-step explanation:
Point A is located at –24 and point C is located at 36 on the number line below.
Which value would represent point B, halfway between point A and point C?
Answer:
Please check the explanation.
Step-by-step explanation:
A number line is a horizontal line with negative values on the left-hand side of an arbitrary number 0 and positive values on the right-hand side of 0.
The location of point A on a number line = -24
The location of point C on a number line = 36
The distance between -24 and 36 can be simply calculated by counting the number of units between.
Starting from -24, we would need to move 24 units on the right side to reach the 0 and 36 units right to reach 36.
So, the total units will be: 24+36 = 60
A second simple method to calculate the distance between point A and point C is:
Distance between A and C = location of C - location of A
= 36 - (-24)
= 36+24
= 60 units
Thus, the distance between A and C is 60 units.
Now, point B is located halfway between point A and point C.
Thus,
The point B must be 30 units before (30 units on the left side) of the point C. In other words, point B must be 30 units after (30 units on the right side) of point A.i.e.
The location of point B = The location of point C - 30
= 36 - 30
= 6
Thus, point B is located at 6.
Verification:
The location of point B = The location of point A + 30
= -24 + 30
= 6
Thus, point B is located at 6.
Thus, it is verified that point B, halfway between point A and point C.
Hence,
'6' is the value of point B halfway between point A and point C.
the ratio of dogs to cats at the local pet store is 5 to 8. if there are 96 cats, how many dogs are there?
Answer:
60:96
Step-by-step explanation:
Divide 96 by 8 to get 12
Multiply 5 by 12 which equals 60
Simplify.
5 +8 X 2 – 10
Answer:
-104
Step-by-step explanation:
5+8=13
2-10=-8
13×-8=-104
I really need help with this pls help me
9514 1404 393
Answer:
(a) -2
Step-by-step explanation:
Put -1 where x is and do the arithmetic.
f(x) = x³ +2x² -3
f(-1) = (-1)³ +2(-1)² -3
f(-1) = -1 +2 -3 = 1 -3
f(-1) = -2
Can someone give me the numbers/answers to this please
Answer:
1 - 40, 40, 40
2 - 117
Step-by-step explanation:
Answer:
1- 40
2- 40
3- 40
4- 117
Step-by-step explanation:
Here is a rectangle ABCD.
A
B
20 cm
D
30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
answer
15.5%
Step-by-step explanation:
length = 30
30+10%=33
breadth=20
20+5%=21
area of rectangle = length × breadth
600² centimeters = 30 × 20
693² centimeters = 33 × 21
Increase = 15.5%
I need help Ja'mireyus is going to the county fair. The cost of admission is $12.00 and it is $3.00 for each ride. If Ja'mireyus has $33.00, how many rides can he go on?
Answer:
none
Step-by-step explanation:
12 x 3 is 36, he has 33 dollars
can someone plssss help what is this? what is the algebraic for the following phrase? 7 less than z
A 7z
B z + 7
D z - 7
C z ÷ 7
Answer:
D cause z is bigger than 8
Answer:
z - 7
step-by-step explanations:
Please answer shsjsjsnenen
Answer:
A.20%
hope this helped:D
Use the given formula to calculate the probability
You are rolling a 6-sided number cube with the
numbers 1 through 6. Which of the following represents
the probability of rolling an even number?
Probability =
Number of desired outcomes
Total number of outcomes
0
1/6
0 1/2
0 1
Intro
Done
6 of 13
Answer:
C 1/2
Step-by-step explanation:
i took test on edge
Answer:
C 1/2
Step-by-step explanation:
A triangle has side lengths x, 10, and 7. What are the possible values of x?
Answer:
7,12.2
Step-by-step explanation:
100+49=149
√149≈12.2
x^2+49=100
x^2=51
=7
i need help can so one help me please do not answer it if you don't know the answer.
3 1/2 divided by 2 3/4 (fractions)
Hope you have a good day!〜
Also please tell me if I'm wrong or not...
Also also if I'm right can I please have Brainliest?
WILL GIVE BRANLIEST!!!
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x=
and the value of f(-2)=
CAN SOMEONE HELP ME PLS AAAAA? Jason purchased a cell phone on sale for $100. He will pay a $25 monthly service for the line. Write an equation for this scenario. Is this a proportional relationship?
Answer:
Step-by-step explanation:
y = 25x +100
y- is the total money spent on the phone
x-is the number of months you had service
the relationship between x and y is proportional ( if x grows, y grows)
For example: after 2 months you would had payed $100 for the phone + the $25 each of the 2 months. y= 25*2 +100 = $150
which expression is equivalent to (1/√y)^-1/5
Answer:1/1√5
Step-by-step explanation:
Answer:
1/10y
Step-by-step explanation:
Evaluate the expression for the given value of x.
1.5x − 2.5 for x = 3
The answer is
Answer:
2
Step-by-step explanation:
1.5x3= 4.5
4.5-2.5= 2
hope this helps :)
Someone please help? Please?
Answer:
the answer to this question is 66
Jo owns a gas station in Ponder, Texas. Last year, Jo sold 5,000 gallons of
gasoline at a price of $1 a gallon. Jo's average cost of producing the
5,000-gallons of gasoline was 50 cents a gallon. Did Jo earn a profit? If so,
how much?
Answer:
Jo earned a profit of $2500.
Step-by-step explanation:
Given that:
Selling price of 5000 gallons = $1 per gallon
Total selling price = 1 * 5000 = $5000
Production cost = 50 cents per gallon = $0.5 per gallon
Total production cost = 0.5 * 5000 = $2500
Production cost < Selling cost
Therefore,
Jo earned profit on gasoline.
Profit = Selling cost - Production cost
Profit = 5000 - 2500
Profit = $2500
Hence,
Jo earned a profit of $2500.
Write an explicit formula of an , the nth term of the sequence 22,20,18
Answer:
an =24−2n
Step-by-step explanation:
Mrs.Salcido cut a small birthday cake into 6 equal pieces for 6 children. One child was not hungry. So she gave the birthday boy the extra piece. How much cake did each of the five children recieved.
Answer: The birthday boy got [tex]\dfrac13[/tex] of cake and rest each of the 4 children got [tex]\dfrac16[/tex] of cake.
Step-by-step explanation:
1 cake is divided into 6 pieces.
1 piece = [tex]\dfrac16[/tex]
Birthday boy got 2 pieces.
Part of cake he has = [tex]2\times\dfrac16=\dfrac26=\dfrac13[/tex] [divide numerator and denominator by 2]
So, birthday boy got [tex]\dfrac13[/tex] of cake and rest each of the 4 children got [tex]\dfrac16[/tex] of cake.
Simplify: -4x(2x – 3) + 10x^2
Answer:
2x^2+12x
Step-by-step explanation:
What is the volume of a cone with a radius of 6 feet and a height of 3 feet?
Can someone help me with this? If you help me, I can try to help you with something and I’ll give you brainliest for sure. Thx.
I just need help with 5-74.
9514 1404 393
Answer:
a) 3, 8, 63, 3968
b) some other kind
c) continue to evaluate terms sequentially
Step-by-step explanation:
a) To find the first four terms, use the recurrence relation:
t(1) = 3 . . . given
t(2) = t(1)^2 - 1 = 3^2 -1 = 9 -1 = 8
t(3) = 8^2 -1 = 64 -1 = 63
t(4) = 63^2 -1 = 3969 -1 = 3968
The first 4 terms are 3, 8, 63, 3968.
__
b) The terms have no common difference or ratio, so the sequence is some other kind of sequence. The ratios of terms form a sequence that is approximately exponential.
__
c) Colin can find the 10th term by evaluating successive terms using the recursion relation. (It is approximately 2.0351×10^230.)
Answer:
...
Step-by-step explanation:
Find the missing numbers
Answer: The answers are:
6 + 2 = 8
4 + (-1) = 3
Step-by-step explanation:
Add 6 by 2.
Solve for X.
4 + X = 3
To find X, we use the integer rule. We can use this:
Positive and Positive = Positive
Negative and Negative = Negative
Positive and Negative = Both (It depends if the negative or positive is larger than the other)
For this problem, we can use: Positive and Negative = Both.
If we look at the chart, we can see 4 and 3. How can we get 4 + ? = 3? We can use the integer, -1. Since we said, Positive and Negative = Both, we must compare the positive-addend (4) by the negative-addend (-1).
4 is greater than -1
4 > -1
Therefore, X equals -1.
4 + (-1) = 3
Answer: 8, -1
Step-by-step explanation:
The table shows some addition problems. Each column is its own problem, with the first two rows being addends and the bottom row being the sum. Thus, simply do 6+2 to get the first blank(left-to-right), 8. Then, do 4+x=3 to get the second blank, or -1.
Hope it helps :D
Solve this equation using 2x+7=15
What is the correct answers from these
X=3
2x=4
3x=5
4x=2
Solve the system by elimination
-x - y = 6
x + y =-6
Write 4.029 in expanded form and with number names.
4 + .029 | Four and nine thousandth two hundredth tenths