Answer:
a) (-2,2), (-1,-1), (1,-1), (3,7)
b) x=1.4
Answer:
a) (-2, 2), (-1, -1), (1, -1), (3, 7)
b) x = 1.4
Step-by-step explanation:
a) Plug in your x & solve for y.
[tex]y = (-2)^2 - 2\\y = 2\\y = (-1)^2 - 2\\y = -1\\y = (1)^2 - 2\\y = -1\\y = (3)^2 -2\\y = 7[/tex]
b) Same thing as a, but just plug in 0 for y & solve for x
[tex]0 = x^2 -2\\2 = x^2\\\sqrt(2) = x\\1.4 = x[/tex]
5. A girl is told to buy some melons and oranges. Melons are 50c each and oranges 25c each, and she has $2 to spend. She must not buy more than 2 melons and she must buy at least 4 oranges. She is also told to buy at least 6 fruits all together.
Let x be the number of melons
Let y be the number of oranges.
a) Write down four inequalities which must be satisfied.
b) Draw a graph and use it to list the combinations of fruit that are open to her.
Answer:
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges
Step-by-step explanation:
The price per Melon = 50c = $0.5
The price per orange = 25c = $0.25
The amount she has to spend = $2
The number of melons she must buy ≤ 2
The number of oranges she must buy ≥ 4
The total number of fruits she should ≥ 6
Let x be the number of melons
Let y be the number of oranges
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel
The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges
what is the product of 9 and 2√90 in the simplest radical form??
Answer: √90=3√5⋅2=3√10
Step-by-step explanation:
Find the total amount you will pay given original price of $24.99and tax rate of 5%
Answer: $26.24
Step-by-step explanation:
Same method
6. Spiderman is three times as old as Superman.
The sum of their age is 160. How old are each of
them?
Answer:
Spiderman is 120, and Superman is 40.
Step-by-step explanation:
40 x 3 = 120
120 + 40 = 160
A ring was thrown 12 feet up in the air. After falling back down to the pool level it went 5 feet under that water. How far did the ring travel
Answer: 17 feet
Step-by-step explanation:
What is a question that could be used to collect categorical data??
HURRY THIS IS TIMED. I WILL GIVE BRANIEST IF CORRECT. EXPLAIN YOUR ANSWER!! THX
Answer: A and c
Step-by-step explanation: because they are the only ones that have p,x,m and not just seperate.
the average American uses 83 gallons of water every day. of you lived in Africa you lived in Africa you would have to walk to collect this water and carry it home. It takes 3 hrs to collect 5 gallons of water.how many hrs to collect 83 gallons of water? round answer to 1 place decimal.
Answer:
50g
Step-by-step explanation:
83g
3hrs=5g
83/5=16.6
16.6x3=49.8=50g
If Z is the incenter of triangle TUV, WZ = 8x - 22 and ZX = 3x +
8, find ZV. Round to the nearest tenth, if necessary.
PLS HELP
GEOMETRY
9514 1404 393
Answer:
ZV ≈ 42.8
Step-by-step explanation:
WZ and ZX and ZY are each radii of the incircle, so are the same length.
8x -22 = 3x +8
5x = 30
x = 6
ZX = ZY = 3x +8 = 3(6) +8 = 26
ZV is the hypotenuse of right triangle ZVY, which has side lengths of 34 and 26. So, the length of ZV can be found from the Pythagorean theorem as ...
ZV = √(34² +26²) = √1832
ZV ≈ 42.8
Questions 1-4
The ratio of the number of miles run to the number of miles biked is
equivalent for each row in the table,
Find the missing values in the table,
Miles Run (miles)
Miles Biked (miles)
Total Amount of
Exercise (miles)
6
B
A
3
7
2
D
6.
Answer:
Pictures please
Step-by-step explanation:
Answer:
A= 2
B= 6
Step-by-step explanation:
y-2 = -3(x + 6), write the equation of the line in slope intercept form.
Answer: y=-3x-16
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is slope and b is y-intercept.
y-2=-3(x+6) [distribute]
y-2=-3x-18 [add both sides by 2]
y=-3x-16
Now, we see that the equation above matches the slope-intercept form equation. You can see that m=-3 and b=-16.
Your Local grocery store is having a special on soda. They're selling a 12-pack of 12-oz cans for $4.75. The 20-oz bottles are also on sale for $0.90. Should "you" buy one 12-pack of 12-oz cans or seven 20-oz bottles?
Answer:
12 pack
Step-by-step explanation:
Buying 12-pack of 12-oz cans will be the better choice.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given here , pack of 12 oz cans at $4.75 and hence volume of such 12 packs = 12 × 12 = 144 oz
and seven 20 oz bottles at $ 6.3 the volume is = 20 × 7 = 140 0z
Hence clearly 12-pack of 12-oz is the better choice
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
Dan earns £8.80
per hour. How much will he earn for 7 hours work
Answer:£61.6 in 7 hours
Step-by-step explanation:
£8.80*7=£61.6
HELP!!!!
Write a recursive rule for the sequence 5, 11, 17, 23...
Answer:
34
Step-by-step explanation:
every time it goes up it goes little higher each and every time till it reaches a limit
Which of the following shows a translation of f(x) two units to the right?
f(x + 2)
f(x - 2)
f(x) - 2
f(x) + 2
Answer:
f(x-2)
Step-by-step explanation:
This is because f(x)-2 or f(x)+2 is moving it up or down and f(x+2) seems like it would be the right answer but it is reversed when it's in parenthesis so it would actually be moving 2 to the left.
Answer:
its f (x-2)
Step-by-step explanation:
i got this on my quiz and i got it right! i hoped this helped!!!
Plz help as soon as possible!:))
Answer: The top answer
Step-by-step explanation:
PLEASE PLEASE HELP.
Answer:
120 square feet
Step-by-step explanation:
they are similar so they are in a ratio 20/10=2 so smaller triangle is twice the larger one 6×2=12ft
area of triangle =1/2×base×height
=1/2×20×12
=120 square feet
what is the equation of a line that passes through 0,4 and 3,6?
Answer:
[tex]y = \frac{2}{3}x + 4[/tex]
Step-by-step explanation:
y = mx + b
4 = m(0) + b
b = 4
6 = m(3) + 4
2 = 3m
m = 2/3
Divide. Express your answer in simplest form.
8 divided by 2 4/9
Answer:
Step-by-step explanation:
8 ÷ 2 4/9
36/11 or 3 3/11 or 3.27
Answer:
In exact form it is 36/11. In decimal form it is 3.277777 going on forever. And last is mixed number form 3 3 11.
Step-by-step explanation:
Simplify fully 4x^2+4x/2x^2-2
Answer:
Simplify the expression.
2x³ + 4x² − 2
a corner self is 1/4 of a circle and has the radius of 10.5 inches. enter the area of the self in square inches. can you round it to nearest hundredth?
Answer:
The area of the shelf is 86.59 square inches
Step-by-step explanation:
The formula of the area of the circle is A = π r², where
r is the radius of the circle∵ The corner shelf is [tex]\frac{1}{4}[/tex] of a circle
→ That means its area is [tex]\frac{1}{4}[/tex] the area of the circle
∴ The area of the corner shelf = [tex]\frac{1}{4}[/tex] × area of the circle
∵ Area of the circle = π r²
∴ The area of the corner shelf = [tex]\frac{1}{4}[/tex] × π r²
∵ The radius of the shelf is 10.5 inches
∴ r = 10.5 inches
→ Substitute the values of r in the formula of the area
∴ The area of the corner shelf = [tex]\frac{1}{4}[/tex] × π × (10.5)²
∴ The area of the corner shelf = 86.59014751
→ Round it to the nearest hundredth
∴ The area of the corner shelf = 86.59 square inches
∴ The area of the shelf is 86.59 square inches
Answer the following parts asked.
Answer:
[tex]f(n) = 15 + (n + 1)[/tex]
Step-by-step explanation:
Tina earns $15 every week when she mows the lawn.
We would put $15 because she earns $15 every week.
She earns 15 every week, so we would put (n + 1).
Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]
Answer:
The explicit rule is:
[tex]f(n)=60+15(n-1)[/tex]
After 15 week, Tina will have $270 in her savings account.
Step-by-step explanation:
Let’s write down our sequence so we can see it better.
For the first week (i.e. the first term), Tina has $60.
For the second week (i.e. the second term), Tina has $75.
And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.
Therefore, we can write the following sequence:
60, 75, 90, 105, 120, 135...
Note that our initial term a is 60.
And our common diffference will be 15.
Let’s find the explicit rule. The standard format for an explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:
[tex]f(n)=60+15(n-1)[/tex]
So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:
[tex]f(15)=60+15(15-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]
Hence, after 15 weeks, Tina would have $270 in her savings account.
-8-x=x - 4x
How do I solve this
A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway. What is the angle of depression for the descent of the plane?
Round to the nearest degree.
Answer:
Angle of depression = 3.37°
Step-by-step explanation:
We are told that A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway.
I've attached an image of a triangle depicting this question.
From the triangle, we can find the angle of depression θ from trigonometric ratio since it's a right angle triangle.
Thus;
3.5/60 = tan θ
tan θ = 0.0583
θ = tan^(-1) 0.0583
θ = 3.37°
which equation is a point slope form equation for line AB? y+1=−32(x−4) y+1=32(x−4) y+1=−23(x−4) y+1=23(x−4) A graph with a line running through point A, with coordinates (4, -1), and point B, with coordinates (-2, 3)\]
Answer:
3
Step-by-step explanation:
Anyone know if so help please
What are the x-intercept and y-intercept of the graph of y=−12x+4? please answer asap will give brainliest
Answer:
x= 1.16 y=14 ...........
Answer:
x intercept= -1/2
y intercept= 4
Step-by-step explanation:
its easy, the answers are in the equation- y=−1/2x+4
CAUSE EFFECT Desire to turn U.S. citizens against Germany Which of the following government agencies would complete the chart? War Industries Board Selective Service Act The National War Labor Board Committee of Public Information
Answer:
Committee of Public Information
Step-by-step explanation:
The correct answer in the cause to turn US citizens against Germany should be the Committee of Public Information which was created in World War I.3. The population of a country increases by 2% every year. The current
Population is 3 crores. What would be the population after 3 years?
Answer:
A=P(1+
100
R
)
n
A=10000(1+0.1)
3
=13310
Step-by-step explanation:
please mark me as the brainliest answer and please follow me
Terry says, “I have 8 cousins."
Rita
says, “Then
you have one less than three times as many as I do." How
many cousins does Rita have?
Answer:
Rita has three cousins.Step-by-step explanation:
We must reverse this operation in order to solve it.
First, add one cousin to 8.
8 + 1 = 9.
Then, divide 9 by 3.
9 / 3 = 3.
Rita has three cousins.