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Explanation:
If we plug the coordinates of point A into the inequality, then we get
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
which is false
You should find that choice E is false as well.
---------------------
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
frank made $156.00 12 hours of work. at the same rate, how many hours would he have to work to make $221?
Answer:
17 hours
Step-by-step explanation:
We first need to find the hourly rate:
156 / 12 = 13
Hourly Rate: $13
Now we can divide 221 by 13, this gives us 17.
That means that Frank will have to work 17 hours to make $221.
Hope this helps!
find the value of x? please I really need help
Answer:
the answer to x is 33
Step-by-step explanation:
The whole thing must equal 180 degrees
I HAVE ONE WEEK OF SCHOOL CAN SOMEONE HELP?!
9514 1404 393
Answer:
1. 5 seconds
2. 4.5 seconds
Step-by-step explanation:
Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.
__
1) y = -15x(x -5)
x = 5 makes the second factor zero
The golf ball is in the air 5 seconds.
__
2) y = -12x(x -4.5)
x = 4.5 makes the second factor zero
The football is in the air for 4.5 seconds.
_____
Additional comment
The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...
ax+b = 0 ⇒ ax = -b ⇒ x = -b/a
That is, once you have the factored form, you can write the solutions "by inspection."
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]
The cosine of ∠V is of 0.74.
what is butterfly cycle
The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.
mark me brainliesttt :)))
I would appreciate if someone could answer this:)
Answer:
17
Step-by-step explanation:
4a - 4 = 2a + 30
2a = 34
a = 17
I really need help or I’m gonna fail the semester
Use the graph of f(x) to estimate f(3).
Answer:
f(3) = -8
Step-by-step explanation:
f(3) means find the y value when x=3
Using the graph the y value when x =3 is -8
f(3) = -8
Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
Siobhan needs to fill her cylindrical shaped fish tank. The base of the fish tank has a diameter of 10 in, and the height of the fish tank is 8 in. Which statement describes how Siobhan can find out how much water she needs to fill the fish tank
Answer:
C = 5^2 * Pi * 8
Step-by-step explanation:
Formula = [tex]r^{2}[/tex]*Pi*h
r = d / 2
d=10, so r=5
h = 8
write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS
Answer:
2*3
Step-by-step explanation:
multiplying 2 the difference subtraction of 9-7 your answer is 2*3
Find the surface area of each solid figure
Answer:
Step-by-step explanation:
A pie tin has an area of 81 pi square inches. Which choice below is closest to its
circumference?
Answer:
can i have the choices
Step-by-step explanation:
What is Associative property mean?
Cary earned $56 for 7 hours of babysitting.
How much would Cary earn for 55 hours of babysitting?
Answer:
440.
Step-by-step explanation:
56/7=8
8x55=440.
Answer:
440
Step-by-step explanation:
56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.
Solve the equation. Enter the number only.
4/7z + 2/3z = 13
Answer:
10.5
Step-by-step explanation:
common denominator for 7z and 3z is 21z
4/7z = 12/21z
2/3z = 14/21z
12/21z + 14/21z = 13
26/21z = 13
cross-multiply to get:
26z = 273
z = 273/26
z = 10.5
Answer:
z = 10.5
Step-by-step explanation:
(4/7)z + (2/3)z = 13
multiply by 21 to eliminate the fractions
12z + 14z = 273
26z = 273
Divide both sides by 26
z = 10.5
Given that BC is a tangent to the circle at B and CD is a tangent to the circle at D and also that the angle DAB is 115, calculate the size of angle BCD?
Step-by-step explanation:
the answer is in the above image
A number y divided by 3 is at least - 19.
Answer:
-57
Step-by-step explanation:
-19 * 3 = -57
Hope this helps!
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C = 0.04 x 2 − 5 x + 900 . What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?
The minimum average cost is ?
The number of DVD/Blu-ray players that should be build to acheive the minimum is?
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
A physics class has students. Of these, students are physics majors and students are female. Of the physics majors, are female. Find the probability that a randomly selected student is female or a physics major.
Answer:
[tex]P(Female\ or\ Physics) = 0.38[/tex]
Step-by-step explanation:
Given
[tex]n = 50[/tex] --- total
[tex]Physics =10[/tex]
[tex]Female= 12[/tex]
[tex]Both = 3[/tex]
Required
[tex]P(Female\ or\ Physics)[/tex]
This is calculated as:
[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]
So, we have:
[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]
[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]
[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]
[tex]P(Female\ or\ Physics) = 0.38[/tex]
solving quadratic equation using the completing the square method. (a).x²+20x-12=0
Answer:
[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Step-by-step explanation:
x²+20x-12=0
a = 1, b = 20, c = -12
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]
[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
What is the range of the function represented by the graph?
Answer:
y ≥ 1
Step-by-step explanation:
The range is the values the y value can take
y ≥ 1
Which figure has at least one line of symmetry?
Answer:
the second green shape because the first one is a rectangle which has 2 equal sides
Answer:
the third orange one
Step-by-step explanation:
i have the same question and these 2 show up as answers on both so it has to be this one
The total cost
of an $82 meal
with a 20% tip
Answer:
$16.40
Step-by-step explanation:
Answer:
98.40
Step-by-step explanation:
First find the tip
82* 20%
82* .20
16.40
Add the tip to the cost of the mean
82+16.40
98.40
Need help ASAP! Giving Brainliest!
ok thats cool ig what do you need help with
Answer:
A
Step-by-step explanation:
Have a nice day :)
In timara math class there are, 12 boys and 15 girls which of the following in the ratio to boys and girls in timaras math class?
Answer:
4:5
Step-by-step explanation:
If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.
However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.
12:15
= 4:5
So, the ratio of boys to girls in Timara's class is 4:5
A bug starts at position (-3, -3) on the floor. It crawls along the vector (2, 6). What is the the final position of the bug on the floor? How far and in what direction did it crawl to get there?
Step-by-step explanation:
the final position = (-3+2 , -3+6) => (-1, 3)
the distance from the origin point =
√(2²+6²) = √(4+36) = √40 units or 6.3 units
the direction = tan~¹ 6/2 = 71.6°
To rent a car Cesar must pay $15 a day plus 50 for every mile he drives. in dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?
Answer:
Step-by-step explanation:
1. 50x50 (because 1 mile= $50)=2500
2. 15x3 (because you need to pay 15 dollars a day)= 45
3. 2500+45= $2545
( plus tax that would be $2,875.85 IF YOUR IN CANADA )
On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
check the picture
Step-by-step explanation:
I hope this help
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Step-by-step explanation: