Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
Solve the problem.The world population of a certain species is evaluated at 5.1× 1010. By some projections, this population will be 3 times more important in 30 years. Express the population at that time in scientific notation.
Large population can be represented in scientific notations
The population in 30 years time is 1.53 * 10^11
The current population is given as:
[tex]\mathbf{Population = 5.1 \times 10^{10}}[/tex]
In 30 years time, the population would be 3 times more.
This means that, the population in 30 years time is: 3 multiplied by the current population.
So, we have:
[tex]\mathbf{New = 3 \times Population}[/tex]
So, we have:
[tex]\mathbf{New = 3 \times 5.1 \times 10^{10}}[/tex]
Multiply
[tex]\mathbf{New = 15.3 \times 10^{10}}[/tex]
Rewrite as:
[tex]\mathbf{New = 1.53 \times 10^{11}}[/tex]
Hence, the population in 30 years time is 1.53 * 10^11
Read more about scientific notations at:
https://brainly.com/question/1705769
I have a question regarding trignometry
How does Sin(180°-θ) = Sinθ
and how does Cos(180°-θ) = -Cosθ
Step-by-step explanation:
If A is acute, cos (180 - A) = - cos A (because the coordinates would be in 2nd quadrant)
If A is right angle, cos (180 - 90) = cos 90 = 0
(because the coordinates would be on y-axis)
If A is obtuse, cos (180 - A) = + cos A (because the coordinates would be in 1st quadrant)
Y-intercept of (-2,2) and (-5,4)
yes. yes.
yes, yes,
yes, yes,
For Thanksgiving dinner, Josie purchased three cans of cranberry sauce that cost $0.78 each. She gave the cashier $10.00. How much change did she get back?
Answer:
$7.66
Step-by-step explanation:
[tex]0.78 \times 3 = 2.34[/tex]
[tex]10.00 - 2.34 = 7.66[/tex]
Answer:
$7.66
Step-by-step explanation:
1. Multiply $0.78 x 3. (you should get $2.34)
2. Subtract $10.00 from $2.34
Your final answer should be $7.66
Joan descends down a
mountain 140 feet in 5
minutes. What was the change
in altitude per minute?
Answer:
28
Step-by-step explanation:
140 / 5 = 28
What is the length of the indicated arc ?
A.
2π
B.
π
C.
1π
⁄
2
D.
4π
E.
None of the above
Answer:
Length of an Arc = θ × (π/180) × r
B.
CO
Given right triangle ABC, what is the value of tan(A)?
o o
26
24
w/w with with wher
A
10
ОО
Answer:12/5 (3rd option)
Step-by-step explanation:
tangent is opposite over adjacent so take the side opposite the angle A and put it over the side that is adjacent to angle A
Given the diagram below, find the value of MQR.
Answer:
The answer is MQR= 48 degrees
Step-by-step explanation:
I got this answer from process of elimination. The first option was 48 degrees so I divided 48 by 3 and got 16 then I applied to (2x + 16): (2(16)+16) and got 48 which comfirmed my answer. Also I took the test and it was right so I know its correct.
Can someone help me with this, I don’t understand.
Answer:
the answer is after 5 hours.
6 times 67.............................................................................................................
Answer:
402
Step-by-step explanation:
{y=10x+2
-5x+4y=-27
this is systems of equations
[tex]y = 10x +2~~....(i) \\\\-5x +4y = -27~~....(ii)\\\\\text{Substitute y =10x+2 in equation (ii):}\\\\\\-5x +4(10x+2) = -27 \\\\\implies -5x + 40x + 8 +27 =0\\\\\implies 35x +35=0\\\\\implies 35(x +1) =0\\\\\implies x +1 = 0 \implies x = -1\\\\\text{Substitute} ~x =-1 ~ \text{in equation (i):}\\\\y = 10(-1) +2 = -10+2 = -8 \\\\\\\text{Hence}~ (x,y) = (-1,-8)[/tex]
Answer:
(x, y) = (19/35, 52/7)
Step-by-step explanation:
When you have an expression for one of the variables, the "substitution" method of solution is a reasonable choice. Here, we have an expression for y that can be substituted into the second equation.
-5x +4(10x +2) = 27
35x +8 = 27 . . . . . . . simplify
35x = 19 . . . . . . . subtract 8
x = 19/35 . . . . divide by the coefficient of x
y = 10(19/35) +2 = 52/7
The solution is (x, y) = (19/35, 52/7).
Can anyone help me explain why
100 points & brainliest!! ONLY IF U ANSWER CORRECTLY, IF YOU DONT ILL REPORT.
Total objects
As
[tex]\\ \sf\longmapsto Unit\:price=\dfrac{Sale\: Price}{No\:of\: units}[/tex]
[tex]\\ \sf\longmapsto Unit\:Price=\dfrac{D_2({E_2)}}{C_2}[/tex]
Or
[tex]\\ \sf\longmapsto Unit P=\dfrac{E_2(D_2)}{C_2}[/tex]
Answer:
= D2/E2Step-by-step explanation:
See attached
Number of units in cell E2, Total price in D2
The formula for unit price is:
= D2/E2Can someone PLEASE tell me the answer to this
Answer:
Explanation is
Step-by-step explanation:
Derma roll 60 mg is ordered you have 75 mg per 1 mL on hand how many milliliters should you administer to the patient per dose
Answer:
75mg subtracts 60mg equals 15
Answer: 15mg per dose
Step-by-step explanation: 75mg - 60mg = 15mg per dose
Write a linear equation in point-slope form that satisfies the given set of conditions.
passes through (4, –1) and (8, 3)
Combine like terms and write an equivalent expression with the fewest number of terms 10x-5+3x-2
Step-by-step explanation:
= 10x - 5 + 3x - 2
= (10 + 3)x + (-5 - 2)
= 13x - 7
Given A(0,-4), B(0,-9), and C(-2,-5). Find the length of BC.
1.5
4.5
5
2.2
Answer:
4.5
Step-by-step explanation:
B(0,-9)
C(-2,-5)
=> BC = [tex]\sqrt{(-2-0)^{2} -(-5+9)^{2} } = 4.4721[/tex]
PLZ HELP 500 POINTS AND BRAINLIEST
Answer:
26 meters
Step-by-step explanation:
Answer:
the answer is 20.
add up the length, and the hight,
then times it by 2.
BOOM
you get the answer :)
Step-by-step explanation:
Pabilo wishes to grow his baseball card collection to at least 3000 cards. He currently has 1200 cards and knows that his favorite type of cards have 15 cards per package. Which inequality and solution represent the number of packages of cards that Pablo wishes to buy? Select TWO that apply.
A. p + 1200 >= 300 p >= 1800
B. 15p + 1200 >= 300 p >= 120
C. 1200 + 15p >= 3000 p >= 280
D. 3000 <= 1200 + 15p 120 <= p
E. 3000 <= 1200 + 15p 120 >= p
F. 3000 <= 15p + 1200 280 <= p
Answer:
X>120
Step-by-step explanation:
hope it helps!! :)
Hellpppppppppp I will mark brainliest
Answer:
this answer is 6
Step-by-step explanation:
8a- 1 + 0.5b = 8(1/4) -1 +0.5(10)
= 6
K(x) k(-3) 2x^2-5x+3
Answer:
When k(x) is 2x² - 5x + 3, k(-3) = 36.
Step-by-step explanation:
k(x) = 2x² - 5x + 3
Substitute the input of x.
k(-3) = 2(-3)² - 5(-3) + 3
Square -3.
k(-3) = 2(9) - 5(-3) + 3
Multiply 2 and 9.
k(-3) = 18 - 5(-3) + 3
Multiply -5 and -3.
k(-3) = 18 + 15 + 3
Add 18 and 15.
k(-3) = 33 + 3
Add 33 and 3.
k(-3) = 36.
You are riding your bicycle and it takes you 15 minutes to go 3.5 miles. How fast are you
going in miles per hour (mph) ?
Answer:
14 miles per 1 hour (14m/1hr), I hope this helps :)
1. Find the quotient of 6.523 and 0.01.
Equation:
Solution:
Answer:
652.3
Step-by-step explanation:
The state fair is a popular field trip destination. This year the senior class at High School Aandthe senior class at High School B both planned trips there. The senior class at High School Arented and filled 9 vans and 7 buses with 457 students. High School B rented and filled 11vansand 7 buses with 473 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? A) Van: 55, Bus: 8 B) Van: 8, Bus: 55
C) Van: 12, Bus: 38 D) Van: 10, Bus: 71
Answer:
B
Step-by-step explanation:
v = how many students fit into a van
b = how many students fit into a bus
School A:
9v+7b=457 (1)
School B:
11v+7b=473 (2)
(1)&(2) => v=8
b=55
y=6x+8 when x=-3 what does y equal
Answer:
-10
Step-by-step explanation:
Multiple
6*-3=-18
Calculate
-18+8
Answer
y=-10
x2 + 3x + 3 = -2x - 3
Answer:
Is this the question [tex]x^{2}[/tex]+3x+3=−2x−3
Step-by-step explanation:
[tex]x^{2}[/tex]+3x+3=−2x−3
Step 1: Subtract -2x-3 from both sides.
[tex]x^{2}[/tex]+3x+3−(−2x−3)=−2x−3−(−2x−3)
[tex]x^{2}[/tex]+5x+6=0
Step 2: Factor left side of equation.
(x+2)(x+3)=0
Step 3: Set factors equal to 0.
x+2=0 or x+3=0
x=−2 or x=−3The distance from Scott's house to school is 3/5 of a mile scott walked 2/3 of the way there before he stopped to pick up his friend. How far did Scott walk?
Answer:
2/5
Step-by-step explanation:
2/3 of 3/5 means to multiply the fractions to get 6/15
6/15 can be reduced by dividing by 3 to get 2/5
PLEASE HELP ME OUT!!!!!!!!!!
Answer:
Exponential
Step-by-step explanation:
- Linear is a straight line no matter what.
- Quadratic lines makes a u or v shape that opens up, down, left, or right.
- Exponential is like a slanted 45° clockwise u and a bit stretched horizontally.
- Square root lines on a graph, looks more like a slanted L 90° clockwise.
- Inverse Variation would show its inverse, same as a mirror, it would be something similar to a hyperbola.
Hope This Helps!
Help on this question pls