Answer:
B. [tex]y= \left \{ {{x^{2}+4,\,x< 2 } \atop {-x+4,\,x \ge 2}} \right.[/tex]
Step-by-step explanation:
The piecewise function consists in two functions:
(i) A vertical parabola directed in the +x direction and centered at [tex]V(x,y) = (0, 4)[/tex] for all [tex]x \in (-\infty, 2)[/tex]. That is:
[tex]y = x^{2}+4[/tex], [tex]x < 2[/tex]
(ii) A line with negative slope for all [tex]x \in [2, +\infty)[/tex].
[tex]y = -x+4[/tex], [tex]x \ge 2[/tex]
The correct answer is B.
find the equation of the circle with center at (3 -2) and radius of 3.
Answer:
(x - 3)² + (y + 2)² = 9
General Formulas and Concepts:
Pre-Calculus
Equation of a Circle: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Center (3, -2)
h = 3k = -2Radius r = 3
Step 2: Write Equation
Substitute [EC]: (x - 3)² + (y + 2)² = 3²Exponents: (x - 3)² + (y + 2)² = 9Isabel finished her history assignment in 1/5 hours. Then she completed her math assignment in 1/2 hours. What was the total amount of time Isabel spent doing these two assignments?
Write your answer as a fraction in simplest form.
Answer:70/100 or 7/10
Step-by-step explanation:
one hour is 60 mins
1/5 of an hour is 12 mins
1/2 of an hour is 30
30 + 12 = 42
42/60 simplified is 7/10
What is the slope line through 1,-1 and 6,2
Answer:
[tex]\huge\boxed{slope=\dfrac{3}{5}=0.6}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1, -1) and (6, 2).
Substitute:
[tex]m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6[/tex]
I need the answer please help me
Answer:
-29.988 or if you round up -30
Step-by-step explanation:
1) Convert fractions to decimals
3.6 x (-8.33) = -29.988
Answer:
I think its this but not sure
Nina Milling assembles transistor radios. she is paid $0.54 for each radio assembled during a regular work week, $0.62 for each radio assembled on on sundays. What is Nina's total pay for a week in which she assembled the following number of radios?
Answer:
I would need to know the number of radios she made each day.
Step-by-step explanation:
lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***
you would get $6.48
then for sunday we would do 0.62 x 2 (that would be 1.24) .
now we add 6.48 and 1.24 to get $7.72 a week.
What is the value of 1 − 2sin2(105°)?
a Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
b Negative one-half
c One-half
d StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer:
D. d StartFraction StartRoot 3 EndRoot Over 2 EndFractionStep-by-step explanation:
What is the value of 1 − 2sin^2(105°)?
Given the expression
1 − 2sin²(105°)
= 1 - 2(sin105)²
= 1 - 2(0.9659)²
= 1 - 2(0.9330)
= 1 - 1.8660
= 0.8660
0.8660 can also be expressed as √3/2
Hence 1 − 2sin²(105°) is √3/2
Answer: D
Step-by-step explanation:
It IS sqrt3/22
Find the value of x. Give the answer in simplest radical form.
PLEASE HELP
The answer is 7 or 7.07. Hope this helps
PLSSSS HELPPPPPP!!!!!
Answer: Gordon Types 74 words per minute
AnOtHer geometry question.
Answer:
the answer is 8!
Step-by-step explanation:
a motorboat moves across a lake at a constant speed. when it begins it from the shore. after 9 minitues it is 14 km from the shore. which function decribes the motorboat distance from the shore?
a. y= 4x + 50
b. y= -4x + 50
c. y= 9x + 50
d. y= -9x + 50
Answer:
Answer:
The function describes the motorboat's distance from the shore
Step-by-step explanation:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, rate of change =
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+c
Where m is the slope and c is the constant
Substitute the values in the equation :
y=-4x+50
Where y is the final distance and x is the minutes
So, Option C is true
Hence The function describes the motorboat's distance from the shore
Step-by-step explanation:
Lois is riding in the country. after riding her bike at a constant speed for 4 hours, she finds that she traveled a distance of 52 miles. Lois wants to know the rate, r, at which she was biking. Drag and drop these tiles to complete the equation Lois could use to determine the rate she was biking.
Answer:
13 mph
Step-by-step explanation:
When you divide 52 (total miles) by 4 (hours biked) you get 13 as your answer.
I'm stuck and I need help quick
Answer:4
Step-by-step explanation:
The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.
Calculate these, and write each awnser in Standard Form.
Step-by-step explanation:
Do you need answers to all of them of some of them?
1. (4.5×10¹²)÷(9×10^10)
(45×10^-1×10¹²)÷(9×10^10)
(45×10¹¹)÷(9×10^10)
(45÷9)×(10¹¹÷10^10)
5×10
if you need help with the others kindly let me know
I don’t get 9.) so if anyone can’t skip it I need help with 10.) too
Answer:
ok number 9.) i believe its 7 if im wrong im so sorry
Step-by-step explanation:
Answer:
I will help with 10 i don't get 9 sorry so the answer is (a) F(5,4)
Step-by-step explanation:
So you have the midpoint and you put f(x, y) and D(-3,-8)
So
E=(x-3/2, y-8/2) =(1,-2) so
X-3/2 =1 , x-3=2 so x = 5
And y-8/2 = - 2. , so y-8 = - 4. , so y =4
So F =(5, 4)
Solve the inequality *
5< -2x + 5 < 25
Answer:
[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]
Step-by-step explanation:
[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]
a company can buy packages of 500 sheets of paper for $4. At this rate, how much paper can bet bought for $2000
Answer:
2000/4×500=250000sheets
Step-by-step explanation:
Does bin width matter when it comes to histograms? Why or why not?
Answer:
Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.
Step-by-step explanation:
Please answer!! Screenshot attached
Answer:
there is a website where you can make triangles and that would get it 4 u
Step-by-step explanation:
Last night, the temperature fell from 0°F to -13 in 4 § hours. What was the average temperature change per hour? Solve the division problem. 2 1 -13= - 4 5 5 The temperature drop per hour can be represented by I °F. QUICKLY
Answer:
3.25 degrees/hour
Step-by-step explanation:
Last night, the temperature fell from 0°F to -13°F in 4 hour.
We need to find the average temperature change per hour. It can be calculated by dividing the change in temperature per unit time.
Change in temperature = -13°F -0°F = -13°F
So,
[tex]C=\dfrac{-13}{4}\\\\=-3.25\ \text{degrees/hour}[/tex]
So, the change in temperature is 3.25 degrees/hour.
Answer:
-3.25 degrees an hour
Step-by-step explanation:
-13 ÷ 4 = -3.25
Arlinda is participating in her school reading
challenge. She reads 40 books in 6 months. If 26
of the books are fiction, then what percent of the
books that she read are non-fiction?
Answer:
14
Step-by-step explanation:
40-26=14 so therefore 14% of the books are non-fiction
Neil is completing a 10 km run in 4 months’
time. His personal best for 10 km is 55 minutes
and he wants to complete this run in less than
45 minutes.
Identify the components of health-related
fitness that Neil will have to develop to try and
achieve this. Justify your choices.
Answer:
Hello There!!
Step-by-step explanation:
There are five components of physical fitness:
1. Body composition
2.Flexibility
3. Muscular strength
4. Muscular endurance
5. Cardiorespiratory endurance
I think he will have to develop Flexibility,Muscular Endurance and also Cardiorespiratory Endurance.
hope this helps,have a great day!!
~Pinky~
HELPPPPPPOPPOPPPPP???
z = 106
y = 74
Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.
Jervane is planning on buying a coffee and several donuts for a road trip. She wants to spend no more than $20 in total. Coffee costs $3 and donuts are $2 each. Write and solve an inequality to determine the maximum number of donuts that Jervane can buy. Be sure to include units on your answer.
Answer:
8
Step-by-step explanation:
Given:
Total money Jervane can spend = $20.
Cost of a coffee = $3.
Cost of a donut = $2.
To find: Maximum number of donuts Jervane can buy.
Solution:
Let the number of donuts she can buy be [tex]x[/tex].
She wants to spend no more than $20 in total.
So,
[tex]3+2x\leq 20[/tex]
[tex]\Rightarrow 2x\leqslant 20-3[/tex]
[tex]\Rightarrow 2x\leqslant 17[/tex]
[tex]\Rightarrow x\leqslant \frac{17}{2}[/tex]
[tex]\Rightarrow x\leqslant 8 \frac{1}{2}[/tex]
As the number of donuts can only be a natural number.
Hence, the maximum number of donuts that Jervane can buy are 8.
16. Find the length of the median CD.
17. Find the coordinates of E, the midpoint of BC
18. Find the length of the median AE.
Step-by-step explanation:
16. Length of a line = sqaureroot of ((x1-x0)^2 - (y1- y0)^2)
C (2,-3) D (6,3)
CD = sqaureroot of ((6-2)^2 + (3-(-3))^2)
CD = sqaureroot of ( 16 + 36)
CD = sqaureroot of 52 = 2 root 13 = length
17. E (5, - 1) because the point is under the x axis.
Midpoint = ((x1+ x0)/2 , (y1 +y0) /2)
B (8,1) C (2, - 3)
Midpoint of BC = ((2+8)/2 , (-3+1)/2)
= (10/2 , - 2/2)
= (5, - 1)
18. Length of AE
A (4,5) E(5,-1)
Square root of ((5-4)^2 + (-1-5)^2)
Square root of (1^2 + - 6^2)
Square root of ( 1 + 36)
Square root of 37 = root 37
Please gimme brainliest
Please help, find the measure of angle 1 (geometry)
Why did most ancient cultures writ out their mathematical texts in words
Answer:
They had no numeral for zero in their number system.
Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.
Step-by-step explanation:
make it braintliest please
Class A has 20 pupils and class B has 19 pupils.
Both classes site the same maths test
The mean score for class A is 33.
The mean score for class B is 62
What is the mean score (rounded to 2 DP) in the maths test across
both classes?
Answer:
47.5
Step-by-step explanation:
33+62=95
95/2=47.5
If you can help I’m still learning
Answer:
It’s +16
Step-by-step explanation:
Estimate the unit rate to the nearest hundredth $2.35 12 Grade AA eggs.
Answer:
2.4
Step-by-step explanation:
pls help meeeeee
if you can
I'll give you brainy
Answer:
x=100°, y=85°
Step-by-step explanation:
I'm pretty sure about it. If you need explanation, I'll give it later. Thank you.