Answers
Answer:
vertex = (- 1, - 4.5 )
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{2}[/tex] (x - 2)(x + 4)
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To find the zeros let f(x) = 0, that is
[tex]\frac{1}{2}[/tex] (x - 2)(x + 4) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 4 = 0 ⇒ x = - 4
The x- coordinate of the vertex is therefore
x = [tex]\frac{-4+2}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
Substitute x = - 1 into f(x) for corresponding y- coordinate
f(- 1) = [tex]\frac{1}{2}[/tex] (- 1 - 2)(- 1 + 4) = [tex]\frac{1}{2}[/tex] × - 3 × 3 = 0.5 × - 9 = - 4.5
Coordinates of vertex = (- 1, - 4.5 )
Related Questions
67000000 in scientific notation
Answers
Answer:
6.7 * 10^7
Step-by-step explanation:
answer me fast plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Shaniqua has a piece of red scrapbooking ribbon that is 2.715 inches long. She also has a piece of pink ribbon that is 3.154 inches long. How much longer is the pink ribbon than the red ribbon?
thank you
Answers
Answer:
0.439 in.
Step-by-step explanation:
This is a subtraction problem.
3.154 in. - 2.715 in. = 0.439 in.
Answer:
.439
Step-by-step explanation:
udnsksjdjxjxjxnxndndjdb pee
You have $12 to buy 5 goldfish for your new fish tank. Write and solve an
inequality the represents the prices you can pay per fish.
Answers
Answer:
[tex]5x \leqslant 12[/tex]
x = price per fish
PLZ NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
a.0.6748 centigrams
b.6.748 centigrams
c.67,480 centigrams
d.674,800 centigrams
Answers
Answer:
d. 674,800
Step-by-step explanation:
1 dekagram is equal to 1,000 centigrams so I multiplied 674.8 by 1000
Hope this helps, have a great day:)
Answer:
The answer is 674800 centigrams
Step-by-step explanation:
How many dekagram in 1 centigram? The answer is 0.001.
I assume you are converting between dekagram and centigram.
You can view more details on each measurement unit:
dekagram or centigram
The SI base unit for mass is the kilogram.
1 kilogram is equal to 100 dekagram, or 100000 centigram.
Note that rounding errors may occur, so always check the results.
Use this page to learn how to convert between dekagrams and centigrams.
Type in your own numbers in the form to convert the units! Hope this helps!
There are 7 fewer cups than plates. There are 4 cups. How many plates are there?
Answers
Answer:
-3 plates
Step-by-step explanation:
Subtract 7 - 4 = 3. Since there are 7 FEWER plates then you add a negative sign in front of it.
solve. 20 x 10⁵ = what i only have 5 minutes to answer this
Answers
Answer:
2000000
Step-by-step explanation:
20 x 100,000
Answer:
2000000 or 2×10^6
Step-by-step explanation:
[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]
solve for x, UV and TV
Answers
We know that TV = TU + UV. Let's plug the values from the picture into our equation.
x + 25 = 9 + 2x + 28.
Let's combine like terms on the right side.
x + 25 = 2x + 37
Subtract 37 and x from both sides.
-12 = x
TV = x + 25 = -12 + 25 = 13
UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4
Answer:
.
Step-by-step explanation:
Tom, Kwasi, and Juan purchased a large pizza to share. If Tom ate of
the pizza, Kwasi ate of the pizza, and Juan ate of the pizza, what
fractional part of the pizza was eaten?
Answers
7/8 divided by 6 help me NOW please
Answers
Answer:
0.14583333333
Step-by-step explanation:
0.14583333333
simplify. can you please help? I don’t know how to do negative exponents. And I forgot how to do exponents.
Answers
1/5832
Decimal Form:
0.00017146
A bag has 16 blue, 20 red, and 24 green marbles. What fraction of the marbles in the bah are blue?
Answers
Answer:
4/15
Step-by-step explanation:
total: 16 + 20 + 24 = 60
16 are blue
then:
the fraction of blue marbles:
16/60 = 4/15
1-89. On graph paper, draw the quadrilateral with vertices A(–1, 3), B(4, 3), C(–1, –2), and D(4, –2).
Answers
Step-by-step explanation:
this is the answer
in graph
please mark me as the brainliest I really need it
Which of the following describes the quotient of 3 and -21? A. The quotient is undefined. B. The quotient is an integer. C. The quotient is a rational number. D. The quotient is an irrational number.
Answers
Answer:
pretty sure its B. The quotient is an integer
Step-by-step explanation:
racional o irracional 1/9
Answers
Answer:
rational or racional
Step-by-step explanation:
An employment agency sells its services to companies
Answers
Describe fully the single transformation that maps triangle A on triangle B
Answers
Answer:
It first starts with a dilation with a scale factor of 1/2. Than once the dilation is completed, a translation of 3 units to the right and 1.5 units down.
Step-by-step explanation:
Sally used 3/4 cup of milk to make pancakes, 5/8 cup of milk to make scrambled eggs, and 1/2 cup of milk to make biscuits. How many cups of milk did Sally use altogether?
Answers
Answer:
1 7/8 cups
Step-by-step explanation:
This is a addition problem. You need to add three fractions, so you need a common denominator.
The LCD is 2, 4, and 8 is 8.
3/4 + 5/8 + 1/2 =
= 6/8 + 5/8 + 4/8
= 15/8
= 1 7/8
Answer: 1 7/8 cups
The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages
Answers
Answer:
Noelle: 20 Dad: 54
Step-by-step explanation:
The age of Noelle's Dad is 6 less than 3 times Noelle's age looks like this:
d=3n-6
While the sum of their two ages is 74, looks like this:
n+d=74
The system is:
{d=3n−6
{n+d=74
Now, substitute the first equation into the second equation and solve for n.
n+(3n−6)=74
4n-6=74
Add 6 to both sides
4n=80
Divide both sides by 4
n=20 (<---- Noelle's Age!)
Now plug n into the second equation
d=3(20)-6
d=60-6
d=54 (<---- Noelle's Dad's Age!)
The sum of the measures of the angles of a triangle is 180. The sum of the measure of the second and third angle is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and ,z represent the measures of the first second and third angles
Answers
Answer:
x = 30 degrees
y = 67 degrees
z = 83 degrees
Step-by-step explanation:
Since x, y , and z are the angle measure for the first, second and third angle respectively, we can write the following equations following the statements given:
The sum of the measures of the angles of a triangle is 180:
(1) x + y + z = 180
The sum of the measure of the second and third angle is five times the measure of the first angle:
(2) y + z = 5 x
The third angle is 16 more than the second:
(3) z = y + 16
Now we solve the system of three equations. We use the third equation to replace z in the second one:
y + (y + 16) = 5 x
then : 2 y = 5 x - 16; then y = 2.5 x - 8
So , now we can replace this expression for y in the third equation:
z = (2.5 x - 8) +16 = 2.5 x + 8
and finally we made the replacements of y and z shown above in bold, in the first equation:
x + (2.5 x - 8) + (2.5 x + 8) = 180
x + 5 x = 180
6 x = 180
then x = 180/6 = 30 degrees
From this, we get the value of the other angles:
y = 2.5 (30) - 8 = 67 degrees
z = 2.5 (30) +8 = 83 degrees
a deer stands cast a shadow 15 feet long at the same time that a 4-foot-tall casts a shadow that is 6feet long. how tall is the deer stand
Answers
Answer:
10 feet
Step-by-step explanation:
i took the test
Multiples of six and 8
Answers
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,
Step-by-step explanation:
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16. a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams. b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams. c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
Answers
Answer:
a)0.099834
b) 0
Step-by-step explanation:
To solve for this question we would be using , z.score formula.
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.
a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.
Standard Deviation = √variance
= √0.16 = 0.4
Standard deviation = 0.4
Mean = 21.37
x = 20.857
z = (x-μ)/σ
z = 20.857 - 21.37/0.4
z = -1.2825
P-value from Z-Table:
P(x<20.857) = 0.099834
b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.
z score formula used = (x-μ)/σ/√n
x = 20.857
Standard deviation = 0.4
Mean = 21.37
n = 100
z = 20.857 - 21.37/0.4/√100
= 20.857 - 21.37/ 0.4/10
= 20.857 - 21.37/ 0.04
= -12.825
P-value from Z-Table:
P(x<20.857) = 0
c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
calculate 188 meters___________Yards
Answers
Answer:
205.599
Step-by-step explanation:
Answer:
205.599 yards
Step-by-step explanation:
1 meter = 1.09361 yards
Multiply 188 meters by 1.09361 yards
188 meters = (1.09361 yards) x (188 meters)
= 205.599 yards
can somebody help me !
Answers
Answer:
[tex] \angle 1[/tex]
Step-by-step explanation:
[tex] \angle 1[/tex] is not congruent to [tex] \angle 6[/tex]
I NEED AN ANSWER NOW ASAP
Answers
Answer:
Apparently i cant see the photo im am so sorry but do need pints.
Step-by-step explanation:
Answer:
option b & option c & option d
Step-by-step explanation:
option a: The left side − 0.475 is not less than the right side − 0.5 , which means that the given statement is false.
option b: The left side − 0.3 is less than the right side 0.1 , which means that the given statement is always true.
option c: The left side 9.05 is greater than the right side − 9.72 , which means that the given statement is always true.
option d: The left side 1.5 is equal to the right side 1.5 , which means that the given statement is always true.
-9 - 5 "add my positive add my negative"
Answers
Answer:
-14
Step-by-step explanation:
The answer is -14 because:
1) First, we need to know that:
negative x negative = positive
negative x positive = negative
positive x negative = negative
positive x positive = positive
2) -9 - 5 is negative times negative which makes it 9 + 5 = 14
3) Since the number with the negative sign is greater, the answer is -14
Hope this helps!
Please help! Will give brainliest.
Your cost for each light saber is $2.45 plus you have to pay a fixed weekly fee of $250 for the booth. You plan to sell each light saber for $4.15.
Write an expression that represents the profit for selling (n) light sabers in a given week.
How many light sabers must you sell in order to make a positive profit? (Profit>=0)
In order to make a positive profit, you would have to sell at least (blank) light sabers.
Answers
$4.15n - ($250 + $2.45n)
Now that we have our expression, let's set it greater than or equal to 0
$4.15n - ($250 + $2.45n) >= 0
Let's simplify the left side.
$4.15n - $250 - $2.45n >= 0.
Combine like terms.
$1.7n - $250 >= 0
Add $250 to both sides.
$1.7n >= $250
Divide both sides by $1.7
n >= 148
You would need to make 148 light sabers to make a positive profit.
Jennifer is 3 years older than twice Zack’s age. The sum of their ages is 21. What are their ages?
Answers
Answer:
Jennifer is 15 and Zack is 6
Step-by-step explanation:
z+ (2z+3)=21
z+2z+3-3=21-3
z+2z=18
3z=18
3z/3=18/3
z=6
so plug 6 in for all the variables and their ages are
Zack-6
Jennifer-15
proportional relationships
Answers
Answer:
relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Step-by-step explanation:
Find the perimeter of the square in the coordinate plane below. Round your answer to two decimal places.
Answers
Answer:
11.31 units
Step-by-step explanation:
Find the distance of line segments AB, BC, CD, AD using the distance formula.