Answer:
opens down
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) - (- 10, - 1 ) , then
y = a(x + 10)² - 1
To find a substitute (- 8, - 5) into the equation
- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )
- 4 = a(2)² = 4a ( divide both sides by 4 )
- 1 = a
y = - (x - 10)² - 1 ← equation in vertex form
To determine if it opens up/ down consider the value of a
• If a > 0 then curve opens up
• If a < 0 then curve opens down
Here a = - 1 < 0 then curve opens down
A histogram titled Number of payphones has date on the x-axis and payphones on the y-axis. From 1981 to 1985 there were 160 payphones, 1986 to 1990: 190, 1991 to 1995: 200, 1996 to 2000: 210, 2001 to 2005: 55, 2006 to 2010: 45.
The histogram shows the number of payphones that were active by year in a large city. How many payphones would you expect to be active between 1976 and 1980?
A.) over 200
B.) between 150 and 200
C.) between 50 and 100
D.) fewer than 50
Answer:
b
Step-by-step explanation:
this is the most likely answer because from '81 to '00 there were between 150-200, so it is also likely in this range
Kai has 32 tickets. He wants to put the same number of tickets into 4 boxes.
Which number sentence could be used to find the number of tickets Kai should
put in each box?
Answer:
32 tickets divided by 4 boxes.
Step-by-step explanation:
He wants to divide the 32 tickets between the 4 boxes. So it would be 32 divided by 4. Hope this helps and have a great day!
Evaluate the function. f(x) = 3x² – x Find f(10)
Answer:
f(10)=290
Step-by-step explanation:
Function Evaluation
Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.
We are given the function:
[tex]f(x)=3x^2-x[/tex]
It's required to find f(10). We replace the x for 10:
[tex]f(10)=3*10^2-10[/tex]
Operating:
[tex]f(10)=3*100-10[/tex]
[tex]f(10)=300-10[/tex]
[tex]f(10)=290[/tex]
Thus, f(10)=290
The equation LaTeX: p=5000\cdot2^tp = 5000 ⋅ 2 t represents the population of an invasive fish species in a large lake, years since 2005, when the fish population in the lake was first surveyed.
What was the population in 2005?
Answer:
10000 fish species
Step-by-step explanation:
Given
[tex]p=5000\cdot2^t[/tex]
Required
Find the population in 2005
2005 is the first year
So: [tex]t = 1[/tex]
Substitute 1 for t in [tex]p=5000\cdot2^t[/tex]
[tex]p=5000\cdot2^t[/tex]
[tex]p = 5000 * 2^1[/tex]
[tex]p = 5000 * 2[/tex]
[tex]p = 10000[/tex]
i need help with this
Answer:
3
Step-by-step explanation:
Describe how each graph is obtained from the graph of y= f(x).
(a) y = f(x – 2)
Can somebody help telling what does it mean? what does it want us to do?
Answer:
see explanation
Step-by-step explanation:
Give the graph of y = f(x) then y = f(x + a) represents a horizontal translation of y = f(x)
• If x > 0 then a shift to the left of a units
• If x < 0 then a shift to the right of a units
Thus
y = f(x - 2) is the graph of y = f(x) translated 2 units right
What is the y-intercept of the line?
110
A
2
B
3
000
-7
-6
D
The floor of a rectangular shed is 12 ft by 14 ft.
What is the area of the floor in square feet?
Answer:
Step-by-step explanation:
S=a*b=12*14=168feet²
Peter buys a comic for $4. There was a discount of 20%. What is the sale price?
Answer:
4$ x .8= 3.2. 3.2$ is paid
Step-by-step explanation:
Answer:
$3.20
Step-by-step explanation:
What is the number of cycles of y=1+10sin(θ−2π/3) between 0 and 2π?
Answer:
D. 2/3
Step-by-step explanation:
Victor baked 30 chocolate chip cookies, 18 peanut butter cookies, and 24 sugar cookies. He wants to split them into equal and identical bags to sell at the bake sale. What is the greatest number of bags of cookies Victor can make?
Answer:
6
Step-by-step explanation:
The greatest common factor (GCF) of 18, 24, and 30 is 6. :)
Victor can make at most 6 bags with equal numbers of each type of cookie.
_____
18 = 6×3
24 = 6×4
30 = 6×5
One way to look for the GCF is to consider the differences between the numbers. The smallest difference between any pair is 6, which also divides all of the numbers evenly. Hence 6 is the GCF.
what is 64 thousandths in decimal form
The answer is .00064, because if you were to make in Thousand form it would look like this ➡️ 64,000. See the 3 Zeros? that is what makes it a thousand. now wht woul happen if we switched that around? well it would look like this ➡️ .00064. as you can see, there are 3 zeros, like in the last example. so your answer is ''.00064''
I need help with this
Answer:
= Multiply 8 and 7
= Add 56 and 6
= Write 62 with a denominator of 7
Step-by-step explanation:
12z−6+15z=27z−5 how many solutions
Answer:
no solutions
Step-by-step explanation:
if you simplify the left side you will get 27z - 6 and the other side is 27z - 5
no value for 'z' will ever get these two expressions to equal each other because 6≠5
Samuel is buying a pair of boots with an original price of $80.
• Store A is offering a 25% discount off the original price of all boots.
• Store B is offering a $10 discount off the original price of all boots.
Based on this information, which statement is true?
The best deal was given by store A. Because the price at store A is less than store B.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Samuel is purchasing a couple of boots with a unique cost of $80.
Store A is offering a 25% markdown off the first cost, everything being equal. Then the price of the boot will be given as,
⇒ (1 - 0.25) x $80
⇒ 0.75 x $80
⇒ $60
Store B is offering a $10 markdown off the first cost, all things considered. Then the price of the boot will be given as,
⇒ $80 - $10
⇒ $70
Based on this information, the best deal given by store A.
More about the Algebra link is given below.
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What number is missing in this sequence? 1, 2, 4, 7, 11, ___, 22
Answer:
16
Step-by-step explanation:
6.6+1.3x-5.2x(less than or equal to) 14.4 plssss help omg
What kind of triangle is this?
Answer:
acute
Step-by-step explanation:
all the angles are below 90 degrees
Answer:
ACUTE IS THE KIND OF TRIANGLE I SEEStep-by-step explanation:
I HOPE IT HELPS :)
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Answer:
it should be <...........
Answer:
its < some fractions can be bigger than other fractions but whole numbers like 1. 2. 3. and .4 are always bigger t but in this than fractions but in this case the fraction and the right is the biggest so b
Step-by-step explanation:
which most likely indicates a chemical change has occurred?
A baseball card that originally cost $24 has been decreasing in value
at an annual rate of 6% for the last 5 years. What is the present value?
Answer:
I believe it is four dollars
The table of values represents a linear function. For this function, what is the value of y when x = 4?
х
-4
0
4
6
y
3
4
?
5.5
y =
Given the table of values that represents a linear function, the value of y when x = 4 is: 5.
Recall:
Equation of a linear function can be modelled as y = mx + b.m = slope; b = y-intercept.slope (m) = change in y / change in xy-intercept (b) is the value of y at x = 0.Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):
Slope (m) = (4 - 3)/(0 - (-4)) = 1/4
y-intercept (b) = 4 (from the table, when x = 0, y = 4).
Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:
y = 1/4x + 4
Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:
y = 1/4(4) + 4
y = 1 + 4
y = 5.
Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.
Learn more about linear function on:
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hey guys! which one is it (photo below)
answer this fast pls pls
Answer:
woof
Step-by-step explanation:
.
.
woof
.
.
-20t>-80 what is t and how do you graph it on a nuberline
Answer:
Step-by-step explanation:
Divide both sides by -20. If you divide by a negative, you have to switch the inequality sign. So now you have this for t:
t < 4
Draw a circle around 4 on a number line, but do not shade it in. Then everything below 4 is the right answer for the value of t.
Me.Lee ordered some pizzas to be delivered. The bill for the pizza was m dollars. Mr. Lee tipped the pizza delivery driver 15% of the bill. Write an expression for the total amount of money Mr. Lee paid
The expression would be: m + 0.15m and to know how much she paid I believe it would be 26.09 (rounded)
3x2 · 2x5 whats the answer please twenty five points to show work
Answer:
60
Step-by-step explanation:
3x2=6
2x5=10
6x10=60
????
A carpenter sands 1/2 of a dresser in 3/4 hour ,how long does it take the carpenter to sand 1 dresser
Answer:
1.5 hours = 1 hour 30 mins
Step-by-step explanation:
3/4 = 0.75
0.75 x 2 = 1.5
what do you call a crushed angle ?
Answer:
A Rectangle
Step-by-step explanation:
a wrecked angle
A crushed angle is commonly referred to as a "rectangle" or a "wrecked angle".
When an angle is crushed or collapsed, its sides are no longer straight or evenly spaced, and its vertex may be shifted or deformed.
This deformation can occur in various contexts, such as in physical objects or in mathematical diagrams. The angle's original shape has been significantly changed due to external influences.
Thus, a crushed angle is commonly referred to as a "rectangle" or a "wrecked angle".
This is a play on words, as a rectangle is a shape with four right angles, and when an angle is crushed or wrecked, it can resemble a rectangle.
Learn more about the rectangles here:
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guys I'm stuck plz help!!!!
Answer:
I believe 70
Step-by-step explanation:
