Answer:
f(x) is a parabola with a vertex at (0, 0) that opens up
g(x) is a parabola with a vertex at (0, 2) that opens up
Step-by-step explanation:
Quadratic equation: [tex]y = ax^2 + bx + c[/tex]
The graph of a quadratic equation is a parabola. The value of [tex]a[/tex]determines its orientation.
If [tex]a>0[/tex] then the parabola opens upwards and its vertex is its minimum point.
If [tex]a<0[/tex] then the parabola opens downwards and its vertex is its maximum point.
Given:
f(x) = x²g(x) = x² + 2⇒ g(x) = f(x) + 2
So the transformation of f(x) to g(x) is an upward shift of 2 units, or
a translation of f(x) by the vector [tex]\left(\begin{array}{ccc}0\\2\end{array}\right)[/tex].
Therefore, the y-coordinate of the vertex of g(x) will be 2 units more than the y-coordinate of the vertex of f(x).
Therefore,
f(x) is a parabola that opens upwards with a vertex at (0, 0)g(x) s a parabola that opens upwards with a vertex at (0, 2)need help plz ............................................ .
Answer:
(x+5)+(x-10)+(x-75)+125=360
3x+45=360
3x=315
x=105
M/4 - 2=6 evaluate expression
Answer: M = 32
Step-by-step explanation:
We can add 2 to each side of the equation to get M/4 = 8.
We can then multiply each side of the equation by 4 to get M = 32.
PLEASE HELP
Find the Difference
(3 - 2.1z) - (1.7w + 9) - (-8 - 3z)
Answer:
1 dfrac 20+9z-17w I think this is your answer
What is the change from $50 if my total purchases were $36.80?
A pigmy rattlesnake has an average length of 18 in., while
a Western diamondback rattlesnake averages a length of
5 ft 6 in. What is the ratio of the length of a pigmy rattlesnake
to the length of a Western diamondback rattlesnake?
Answer is down below.
Step-by-step explanation is in the photo below.
non-irrelevantly answer, i will give brainliest for attemting to answer this question please help needed.
1) Provide one example of a technology or communication system that allows information to be transferred for each of these three transfer methods: human to machine; machine to human; and machine to machine. Briefly describe each of the three technologies
When you think of an electronic log book for workplaces they are like this. human to machine- The human is speaking to the machine through actions of logging in times etc. Machine to human- The machine will now send a response to the human saying that it is logged. Machine to Machine- The machine will use its software to dispose or disclose the information you have given it.
please help this is for my son and i dont know it
Answer:
8 cookies left to be baked.
Step-by-step explanation:
Together both of them bakes = (1/3) + (2/5)
= [tex]\frac{5}{15} +\frac{6}{15}[/tex]
= [tex]\frac{11}{15}[/tex] cookies.
So they have baked: (11/15) * 30 = 22 cookies together.
cookies left to be baked: 30 - 22 = 8 cookies.
Answer:
8 cookiesStep-by-step explanation:
Cookies needed - 30.
Len bakes:
30*1/3 = 10Shailesh bakes:
30*2/5 = 12Remaining to bake:
30 - 10 - 12 = 8Gary gets a bonus $20 for every computer he sells over and above his quota of 10 per week. If he
sells n computers in a week and n > 10 , write an expression for Gary’s bonus in that week
(in expanded form).
Answer:
The inequality that describes this problem is , and the minimum number of computers he must sell is 25.
Step-by-step explanation:
Since there is no restriction on the number of computers he must sell, an inequality can help us describe the situation.
Writing the inequality.
Let x be the number of computers he sells the next month, since he receives a bonus of $100 per computer he sells the total amount he will make for x computers is
And since he wants to make $2,500 in bonuses, the inequality that describes that situation is
Solving the inequality.
In order to find the exact number of computers he must sell, we need to solve for the inequality.
Since 100 is multiplying to x, in order to move that 100 to the other side, we need to apply the inverse operation to multiplication, which is division. We can then divide both sides by 100
So then we can simplify to get
Thus the minimum number of computers he must sell is 25.
calculate simple interest on R4400 at 4% per annum for 7years.
Answer:
Simple interest=PRT/100
P=4400
R=4%
T=7
SI=4400×4×7/100
SI=44×4×7
SI=1232
whats 9 plus 10 in this proplem
Kim is playing an online trivia game. She has 25 points and earns 1 point for each correct answer. She will advance to the next round if the score is 34 points. Which inequality can Kim use to find how many more questions she must answer correctly to advance to the next round
Answer:
the answer is b I'm pretty sure
Answer:
1x 25< or equal to34
Step-by-step explanation:
When three times a number is decreased by 7, the result is 20. What is the number?
The number is?
Answer:
The number is 9
Step-by-step explanation:
• Let the number be x
[tex]{ \tt{3x - 7 = 20}} \\ [/tex]
» Add 7 to either sides following addition rule of equality:
[tex]{ \tt{(3x - 7){ \red{ + 7}} = 20{ \red{ + 7}}}} \\ { \tt{3x = 27}}[/tex]
» Divide either sides by 27:
[tex]{ \tt{ \frac{3x}{ \blue{3 }} = \frac{27}{ \blue{3}} }} \\ \\ { \tt{x = 9}}[/tex]
Elliot earns $12 per hour and $3 for each
sale he makes. He wants to earn more than $140
false. in an 8-hour workday. What is the least number
of sales he must make to reach his goal?
Answer:
420 sales
Step-by-step explanation:
140x3=420 sales
I need help on this question!!!!!!!!!!
The volume of the cylinder is 1847.3 in3. Determine the diameter of the cylinder to the nearest tenth.
Answer:
184 is the diameter
Step-by-step explanation:
Find the equation of the line passing through point (1,-5) and perpendicular to y=1/8x+2
Answer:
y=8x-13
Step-by-step explanation:
When you're finding a perpendicular line, you take the opposite of the slope. The slope in this equation is 1/8, so a perpendicular line will have the slope of 8. So we already know y=8x+b.
Plug in your x and y values from the ordered pair and you get -5=8(1)+b. 8×1 is just 8, so it's -5=8+b. Subtract 8 from both sides and you get -13=b.
What is four multiplied by fifteen
Answer:
60
Step-by-step explanation:
4x15=60
Answer:
60
hope this helps
have a nice day:)
It cost Jaden $4.80 to send 96 text messages how much would it cost to send 155 messages
Answer:
7.75
Step-by-step explanation:
found unit rate divided 4.80 by 96 = 0.05
0.05 x 155 = 7.75
Is the question asking to see if x = 1, y=-2, and z=2 by solving the three equations?
Answer:
2 × 1 +2 +2×2 =8
2+2+4=8
8=8
3×1 +3× -2 + 4×2 =5
3-6+8=5
5=5
1+2 × -2 +2 = -5
1-4+2= -5
-5 = -5
150% of what number is 120
Answer:
x = 80
Step-by-step explanation:
We have, 150% · x = 120
or, 150/100 · x = 120
Multiplying both sides by 100 and dividing both sides by 150,
we have x = 120 · 100/150
x = 80
If you are using a calculator, simply enter 120×100÷150, which will give you the answer.
[RevyBreeze]
Answer:80
Step-by-step explanation:
we have,
150x/100 = 120
x = 120 x 150/100
x= 80
a bag contains 10 yellow marbles 14 Blue Marble 7 red marbles and 9 green marbles. jack reaches in and grabs a marble, then without Jack replacing his marble, Anna reaches in and grabs a marble. what is the probability of a blue and a red blue marble being pulled out?
Answer:
here the answer is 9/29...
Khan uses 78 feet of fence to make a rectangular pen for his pet rabbit. The length of the pen is 25 feet. What is the width of the rectangular pen?
A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these
two birds is 259 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.
What is the fastest speed of the bird species B in miles per hour and the fastest speed of the bird of species A in miles per hour
Answer:
37 mph, 222 mphStep-by-step explanation:
Let the speed of bird of species A is x and speed of B is y.
The equations:
x + y = 259x = 6ySubstitute and solve for y:
6y + y = 2597y = 259y = 259/7y = 37Find x:
x = 6*37 = 222
[tex]x[/tex]will be the speed of species b and [tex]4x[/tex] will be the speed of species a:
[tex]x + 4x = 180[/tex]
[tex]5x = 180[/tex]
[tex]x = \frac{180}{5}[/tex]
[tex]x = 36 \: m/h[/tex]
If species b has a speed of [tex]36 [/tex]m/h, the speed of species a is [tex]4[/tex]times that:
[tex]4 \times 36 = 144 m/h[/tex]
Answer :—
[tex]A = 36 \: m/h [/tex]
[tex]B = 144 \: m/h[/tex]
What are the zero(s) of the function f(x) =4x2-36x. —————————————
X-9
?
A.x= -9
B.x=0
C.x=9
D.x= 0 and x = 9
Answer:
x=0 true
....................
Answer:
B) x=0
Step-by-step explanation:
[tex]f(x)=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x(x-9)}{x-9}\\ \\0=4x\\\\0=x\\\\x=0[/tex]
This is just a linear function in disguise, so there's only one solution
A church auditorium can seat 250 people at most. If there are currently 162 people seated in the auditorium, how many more can be seated? Write an inequality then solve it. Use n for your variable. Can someone please help I'm really stuck.
Answer:
88 more people
Step-by-step explanation:
Let the additional number of people that can be seated be n.
Maximum capacity of auditorium= 250
This means that the amount of people in the auditorium can be exactly 250 or less than that. Thus, the inequality sign used is '≤', which can be read as 'less than or equal to'.
Since there are already 162 people in the auditorium,
162 +n ≤ 250
Subtract 162 from both sides:
n ≤ 250 -162
n ≤ 88
Thus, 88 more people can be seated.
Note:
An equation with an inequality symbol is solved the same way as one with an equal sign, except when dividing both sides of the equation by a negative number (i.e. a number lesser than zero). In that case, the direction of the inequality sign will change:
• > becomes < and vice versa
• ≥ becomes ≤ and vice versa
please help i will give crowns
Answer:
10/3 or 3 1/3
5/1 · 2/3 = 10/3
You can't simply this anymore farther.
Also the proper form of 10/3 is also 3 1/3.
The first step in solving this eqaution for x uses _ property 2(x + 7) + 3x = 12
Answer:
2×x×7+3x=12
2x+14+3x=12
5x+14=12
5x=12-14
5x=-2
Divided Both Sides By 5
X=-2/5
How Many Minutes Can Mammals
Stay Underwater?
Hippopotamus
15
Muskrat
12
Platypus
10
Polar Bear
2
Sea Cow
16
Seal
22
Use the information given in the table. A hippopotamus can stay underwater 3 times as long as a sea otter can. Which of the
following equations can be used to find how long a sea otter can stay underwater?
3-X = 15
15 - x = 3
b. 3x = 15
d. 15x = 3
a.
C.
simplify the expression: (2y + 1)(5)
Answer:
10y+5
Step-by-step explanation:
5 x 2y = 10y
5 x 1 = 5
Answer:
10y + 5
Step-by-step explanation:
Expand the expression!
(2y + 1) * 5 : We have to multiply each factor by 5
2y * 5 = 10y
1 * 5 = 5
Combine those values, and we get 10y + 5 :)
Madelyn hikes 190.5 meters up a mountain. If she is 62% of the way up, how tall is the mountain? Round to the nearest whole meter.
Answer:
307 meters tall
Step-by-step explanation:
190.5 / 62 = x / 100
19050 / 62 = 307
If it is rounded up.
to lease a new car, you must make a dowm payment when you sign the lease, then pay $199 per month . six months after signing his lease, Mr Scott had paid $2,694. write and solve an equation to find the total amount he will have paid after 3 years.