which is the least -1 1/4 or -3/2
Answer:
-3/2
Step-by-step explanation:
Functions f(x) and g(x) are shown:
f(x) = x2 g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units
Answer:
Step-by-step explanation:
Factor g(x)
(x+4)(x+4)
(x+4)^2
So f(x) needs to be shifted left by 4 units.
Answer:
Option A, Left by 4 units
Step-by-step explanation:
Step 1: Convert g(x) to a function square
We currently have g(x) in this order: [tex]ax^2 + bx + c[/tex]
However, we want g(x) to be in this order: [tex](ax + c)^{2}[/tex]
The first thing we have to do is to factor it out:
[tex]g(x)=x^{2}+8x+16[/tex]
[tex]g(x) = (x + 4)(x + 4)[/tex]
[tex]g(x) = (x+4)^{2}[/tex]
Step 2: Now we can see which way we need to move it
The original form is: [tex]f(x) = (ax - b)^{2}[/tex]
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
Look at the graphs below to make sure:
What is the slope of the line represented by the equation y =4/5x-3
Answer: this equation is in slope intercept form following the template of y=mx+b because m is your slope, looking at the corresponding parts tells you 4/5 is the slope.
A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 18 minutes, and his brother claims to be able to do it in 12 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus?
Answer:
I believe if they did it together they would finish in 6 minutes
Step-by-step explanation:
Q2) A
farmer distributed an amount of Rs 56 among his two children in the ratio 3 :5 How much amount was received by each of them
[tex]\huge\mathfrak\purple{answer}[/tex]
[tex]3x + 5x= \red{56} \\ 8x = \red{56} \\ x = \frac{56}{8} \\ x= \red{7}[/tex]
(Mark me brainliest if you're satisfied with the answer :))
Point A is at (3,-8) and point B is at (5,-2.5). What is the midpoint of line segment AB?
Answer:
[tex]\displaystyle (4,-5.25)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point A(3, -8)
Point B(5, -2.5)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{3+5}{2},\frac{-8-2.5}{2})[/tex][Midpoint] Add/Subtract: [tex]\displaystyle (\frac{8}{2},\frac{-10.5}{2})[/tex][Midpoint] Divide: [tex]\displaystyle (4,-5.25)[/tex]What is the median of data set 32 25 25 32 32 10 -10 25
Answer:
-10, 10, 25, 25, 25, 32, 32, 32
Its 25
Step-by-step explanation:
The median is the middle number if there are an even amount of numbers you would have two medians add them the divide by two
Estimate 201 to the nearest tenth.
• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
needs to be in
Verbal Model:
and
Algebraic Equation:
Plz I NEED ANSWER ASAP IF U ANSWER I GIVE BRAINLIEST
Answer:
$2.95
Step-by-step explanation:
$14.30 - $2.50 = $11.80
$11.80/4 = $2.95 for a chicken sandwhich
Grace drove 28 1/2 miles . She used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon
Answer:
hi
Step-by-step explanation:
Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25
Answer:
KL= 17.67 unit
UE = 17.67 unit
Step-by-step explanation:
Given:
Diagonals
KL= h+7
UE = 4h-25
Find:
Length of diagonals KL and UE
Computation:
We know that in isosceles trapezoid the length of diagonals are equal
So,
KL = UE
h+7 = 4h-25
3h = 32
h = 10.67
So,
KL= h+7
KL= 10.67+7
KL= 17.67 unit
UE = 4h-25
UE = 4(10.67)-25
UE = 17.67 unit
I NEED HELP WORTH THIS there is one more option of 6,6 also
Answer:
C. (2,4)
Step-by-step explanation:
A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).
Round your answer to the nearest tenth.
Answer:
P(A) = 0.3
Step-by-step explanation:
independent event:
P(A|B) = P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
It is showing that whether one occurred or not, the other one doesn't care about it (independence).
Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,
P(A|C) = 0.2.
We know that for the independent event:
P(A|B) = P(A)
Hence, P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Learn more about independent variables;
https://brainly.com/question/1479694
#SPJ2
more on fraction
21×5
Answer:
105.
Step-by-step explanation:
21+21+21+21+21=105.
Answer these two correctly and I’ll reward 8 points + brainalist
Answer:
1. B.
2. C.
Step-by-step explanation:
1. It only has one cell so it needs to rely on other organisms in order for it to survive
2. Chloroplasts are only found in plants you can remember it by "Chloroplants"
Plss I need help
ASAP
Answer:
21x+56 %thats ur answer hope it worked !
Answer:
21x
Step-by-step explanation:
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You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3)
A conical paper cup is shown. Its height is 11 centimeters and the diameter of its base is 8 centimeters.
a. Each customer uses 1 paper cup. The cups are sold in packages of 50. How many packages should you buy?
b. How many cups will be left over if you sell 80% of the lemonade?
Answer:
Step-by-step explanation:
volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³
10 gal × 3,785 cm³/gal = 37,850 cm³
37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones
Buy 5 packages (250 cones).
8 gal × 3,785 cm³/gal = 30,280 cm³
30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones
250 - 165 = 85 cones left over
a). Number of packs of cups to be purchased = 5 packs
b). Number of cups remaining if 80% lemonade is sold = 85 cups
Volume of a cone: Volume of a cone is given by the expression,
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Here, r = radius of the cone
h = Height of the cone
Given in the question,
Radius of the cone = [tex]\frac{8}{2}[/tex] = 4 cm Height of the cone = 11 cm Amount of lemonade = 10 gallonsa). Volume of one cone = [tex]\frac{1}{3}\pi (4)^2(11)[/tex]
= 184.307 cm³
Covert the gallons into cubic cm,
∵ 1 gallon = 3785 cm³
∴ 10 gallons = 37850 cm³
∵ 184.307 cm³ volume represents the number of cones = 1
∴ 1 cm³ will represent the voulume = [tex]\frac{1}{184.307}[/tex] cups
∴ 37850 cm³ will represent the volume = [tex]\frac{37850}{184.307}[/tex] cups
= 205.36 cups
≈ 205 cups
Therefoe, number of packs of cups to be bought = [tex]\frac{205}{50}[/tex]
= 5 packs
b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × [tex]\frac{80}{100}[/tex]
= 8 gallons
Volume of 8 gallons lemonade in cm³ = 8 × 3785
= 30280 cm³
Therefore, number of cups to be used = [tex]\frac{30280}{184.307}[/tex] cups
= 164.29 cups
≈ 164 cups
Number of cups purchased = 250
And the number of cups remaining = 250 - 164
= 86 cups
Therefore, number of cups remaining are 86 cups.
Learn more about volume of the cone here,
https://brainly.com/question/14671146?referrer=searchResults
Miss logan leaves school at 15:55 it takes her 1 hour and 20 mins to get home what time does she arrive home? answer using 24 hour time
Answer:
5:15
Step-by-step explanation:
15:55 = 3:55 in normal time
3:55 + 1 hr = 4:55
4:55 + 20 min = 5:15
If a hummingbird hunted like an eagle, would its beak be useful?
Answer:
No
Step-by-step explanation:
Can someone pls help me I’ll mark brainiest
Answer:
70%
Step-by-step explanation:
Because 100% - 30% = 70%
Pls help extra points and mark
Solve the system using elimination.
3x + 5y = -2
-x + 2y = 8
([?], [ ]
Answer:
Step-by-step explanation:
To eliminate the x terms, first multiply the second equation by 3:
-3x + 6y = 24
then add it to the first equation:
3x + 5y = -2
-3x + 6y = 24
------------------
0x + 11y = 22
y = 2
plug the value of y into one of the equations:
-x + 2(2) = 8
x = 4-8 = -4
(x,y) = (-4, 2)
I need some help
I will give you brainliest and heart!
Answer:
Correct!
Step-by-step explanation:
First, I'll try to solve it myself.
2(2a-1)+3a=7a-2
7a-2
4a-2=7a-2
His is very correct!
Toni gives a cashier a $20 bill he is buying an item for $4.79 how much money should tony get back
Answer:
$15.21
Step-by-step explanation:
Answer:
15.21
Step-by-step explanation:
20−4.79
Subtract 4.79 from 20 to get 15.21.
15.21
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
What is the oldest currency in use?
A. The yen
B. The pound sterling
C. The franc
D. The euro
calculate 30% of 500 kg
which of the following is like a radical to 3 sqrt 6x2 ??? PLEASE HURRY
Answer:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
Step-by-step explanation:
Given
[tex]3\sqrt{6x^2[/tex]
Required
Express as a radical
Split
[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]
[tex]\sqrt{x^2} = x[/tex]
So:
[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]
This gives:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
the picture is the question
Answer:
Swap the direction of the inequality
Step-by-step explanation:
Anytime you multiply or divide by a negative number in an inequality, you flip the symbol so > turns into <