Answer:
a) (x, y) = (1, 7)
Step-by-step explanation:
Let be the following system of inequalties:
[tex]y > x^{2}-4\cdot x -5[/tex]
[tex]y < -x^{2}-5\cdot x +6[/tex]
We can find the right option by evaluating each option in the system of inequalities:
a) (x, y) = (1, 7)
[tex]7 > 1^{2}-4\cdot (1) -5[/tex]
[tex]7 < -1^{2}-5\cdot (1) +6[/tex]
Then,
[tex]7>-8[/tex] (TRUE)
[tex]7<0[/tex] (FALSE)
(1, 7) is not a solution of the system of inequalities.
b) (x, y) = (1, -7)
[tex]-7 > 1^{2}-4\cdot (1) -5[/tex]
[tex]-7 < -1^{2}-5\cdot (1) +6[/tex]
Then,
[tex]-7 > - 8[/tex] (TRUE)
[tex]-7< 0[/tex] (TRUE)
(1, -7) is a solution of the system of inequalities.
c) (x, y) = (1, -5)
[tex]-5 > 1^{2}-4\cdot (1) -5[/tex]
[tex]-5 < -1^{2}-5\cdot (1) +6[/tex]
Then,
[tex]-5 > - 8[/tex] (TRUE)
[tex]-5< 0[/tex] (TRUE)
(1, -5) is a solution of the system of inequalities.
d) (x, y) = (-1, 6)
[tex]6 > (-1)^{2}-4\cdot (-1) -5[/tex]
[tex]6 <(-1)^{2}-5\cdot (-1)+6[/tex]
Then,
[tex]6>0[/tex] (TRUE)
[tex]6 < 12[/tex] (TRUE)
(-1, 6) is a solution of the system of inequalties.
Therefore, we conclude that correct answer is A.
Answer:
Its Not (1,7) i took the test and missed it
Step-by-step explanation:
3. Simplify. *
5m3 + 2m– 7m3 – 8m
Step-by-step explanation:
5m³ + 2m - 7m³ - 8m
= -2m³ -6m
= -2m(m² + 3)
NEED ASAP
Change the percent to a decimal.0.4% =
A 0.004
B 0.4
C 4.0
D 0.04
Answer:
A)0.004
If you do the math you should get this answer
Solve for the distance from point A to point B. Round your answer to
nearest tenth.
A(5,4) and B(-4,-3)
Answer:
11.4
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
1. [tex]d=\sqrt{(-4-5)^2+(-3-4)^2}[/tex]
2. [tex]d=\sqrt{(-9)^2+(-7)^2}[/tex]
3. [tex]d=\sqrt{81+49}[/tex]
4. [tex]d=\sqrt{130}[/tex]
5. [tex]d=11.4017[/tex]
6. [tex]d=11.4[/tex]
Solve 3x + k= c for x.
O A. x=-*
B. x=3(0 - k)
C.
C + K
3
D. x = 31c+ k)
Answer:
x = c/3 - k/3
Step-by-step explanation:
Solve for x:
k + 3 x = c
Subtract k from both sides:
3 x = c - k
Divide both sides by 3:
Answer: x = c/3 - k/3
If it is a non-repeating, non-terminating decimal? What’s the answer PLEASE HELP :(
Answer:
i think its repeating decimal pro
Step-by-step explanation:
What are the coordinates of (2. -7) after the translation
(x,y) → ( x-2, y + 3)
the perimeter of a rectangle is 28 meters and the length of the base is 8 meters. find the height of the rectangle.
Answer:
6 meters
Step-by-step explanation:
We know that the perimeter of a rectangle is the sum of the length and height doubled, therefore, we can write the following equation:
28 = 2 * (8 + h) where h = height
14 = 8 + h
h = 6 meters
The perimeter of the tennis court is 228 feet. What are the dimensions of the court? Write the equation for the situation: What is the width of the court? What is the length of the court?
Answer:
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
Step-by-step explanation:
2(w+2w+6)=228 feet
2w+4w+12=228
6w=228-12
6w=216
w=36
So, 2w+6=78
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.
To find the dimensions of the tennis court, we can set up a system of equations based on the given information:
Equation for the perimeter:
The perimeter of a rectangle is given by the formula:
P = 2(length + width).
In this case,
the perimeter is 228 feet, so the equation gives:228 = 2(l + w)
Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:
w = l
To solve the system of equations:
Substitute the value of l from the second equation into the first equation:
[tex]228 = 2((2w + 6) + w)[/tex]
Simplifying the equation:
[tex]228 = 2(3w + 6)[/tex]
Divide by 2 on both sides
[tex]114 = 3w + 6[/tex]
Subtract by 6 on both sides
[tex]108 = 3w[/tex]
Divide by 3 on both sides
[tex]w = 36[/tex]
Substituting the value of w back into the second equation:
[tex]l = 36[/tex]
Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.
Learn more about solving equations here:
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The middle value of the data set is
Answer:
The middle value of the data set is called/labled the median
Step-by-step explanation:
if there is a odd (1,3,5...)number of number in the data set circle the middle two and add them and divide by two and that will be your median
hope it helps:)
Also, just look at the number in the middle of the data set to figure out the median
a family uses 1303 kWh of electric energy in a month. if the power company charges $0.08 cents per kilowatt, what is the total electric bill for the month?
2x² + x + 10 = 0 dengan rumus abc
Answer:
a = 2, b = 1 and c = 10
Step-by-step explanation:
The given equation is 2x² + x + 10 = 0 ...(1)
The general form of a quadratic equation is given by :
ax²+bx+c=0 ...(2)
We need to find the values of a,b and c in the given equation.
Comparing equation (1) and (2),
a = 2, b = 1 and c = 10
M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N
Answer:
6
Step-by-step explanation:
M=2*2*3*5*5=300
N=2*2*2*3*3*7=504
Common factors between the two numbers are 2 and 3
The GCF(greatest common factor):
2×3 = 6
To see if it is true:
300/6 = 50
504/6 = 84
6 is the answer to the question.
Write this statement in interval notation. * x is positive and < 17
Answer:
x is in (0, 17)
Step-by-step explanation:
The compound inequality is ...
0 < x < 17
The "equal to" case is not included on either end, so round brackets are used:
(0, 17)
17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.
Find the dimensions of the rectangle.
Answer:
[tex] \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}[/tex]
[tex] \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}[/tex]
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle = w + 3
Perimeter of a rectangle = 28 inches
To find : dimensions of the rectangle ( length and width )
Finding the width of a rectangle ( w )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(2w + 3)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 4w + 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w + 6 = 28}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 28 - 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 22}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{w = 5.5 \: inches}}[/tex]
Width of a rectangle = 5.5 inches
Now, replacing / substituting the value of w in order to find the length of a rectangle
[tex] \sf{ length = 3 + w}[/tex]
[tex] \dashrightarrow{ \sf{length = 3 + 5.5}}[/tex]
[tex] \dashrightarrow{ \sf{length = 8.5 \: \: inches}}[/tex]
Length of a rectangle = 8.5 inches
Hope I helped!
Best regards! :D
Solve for x:
- 11x + 32.5 < 82
Answer:
x>-4.5
Step-by-step explanation:
- 11x + 32.5 < 82
Subtract 32.5 from each side
- 11x + 32.5-32.5 < 82-32.5
- 11x < 49.5
Divide each side by -11. remembering to flip the inequality since we are dividing by a negative
-11x/-11 > 49.5/-11
x>-4.5
Evaluate
x(-6) (-4)
When x= -2
Answer:
=24x
Step-by-step explanation:
X×(-6)×(-4)=24
two negatives cancel out and turn the 24 to a positive number
6×4=24
What is the area of the square of the leg 6
Answer:
A=a2/ a squared
Hellppppppp meeeee I gotta pass this testtttt ty ❤️
Answer:
The second one
Step-by-step explanation:
HELP!! Which of the following expressions represents the distance between -3.9−3.9minus, 3, point, 9 and -4.7−4.7minus, 4, point, 7?
Answer:
| -2 1/5 - 4.35|
Step-by-step explanation:
Take the absolute value of the difference of the two number
| -2 1/5 - 4.35|
Solve for f(-7).
f(x) = 5 - X
f(-7) = [?]
Enter
Answer:
[tex]f(-7)=12[/tex]
Step-by-step explanation:
[tex]f(x)=5-x\\\\\text{Substitute 'x' for '-7' and solve.}\\\\f(-7)=5-(-7)\\\\f(-7)=5+7\\\\\boxed{f(-7)=12}[/tex]
Hope this helps.
Brand X copier advertises that its copiers run 24% longer between service calls than its competitor. If Brand X copiers run 59,800 copies between services, how many copies would the competitor run?
Answer:
The competitor will run 48,225.81 copies.
Step-by-step explanation:
Brand x copier run 59,800 copies between services
Brand X copiers run 24% longer between service calls than its competitor.
Let x = copies run by the competitor between services
Number of copies the competitor will run is
24% of x + x = 59,800
0.24x + x = 59,800
1.24x = 59,800
x= 59,800 / 1.24
x = 48,225.81
Therefore, the competitor will run 48,225.81 copies.
3. Which of the following does not have a
value that is greater than 0?
a. (-14)
b.
y
C. 0.052
d. -42
Answer:
C. 0.052
Step-by-step explanation:
A and D are negative.
That means that they come before 0 and are therefore smaller than 0.
We do not know the value of B.
C is a positive number, meaning it comes after 0 and is therefore greater than 0.
Carmen says that she has 4/10 of a dollar.Troy says that he has 50/100 of a dollar.Together,what fraction of a dollar do they have
Answer:
9/10 of a dollar
Step-by-step explanation:
50/100=5/10,
so 5/10+4/10=9/10
Together they will have 9/10 part a dollar.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here, Carmen has 4/10 of a dollar and Try says he has 50/100 part of a dollar, now to calculate the fraction of dollar together they will be having will be the sum of Carmen and Troy part of dollar :
[tex]\begin{aligned}\frac{4}{10}+\frac{50}{100}&=\frac{4}{10}+\frac{5}{10}\\&=\frac{9}{10}\end{aligned}[/tex]
Therefore, together they will have 9/10 part a dollar.
Read more about ratio at:
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Solve the equation below for y. 3x+4y=12
Answer:
y=-3/4x+3
Step-by-step explanation:
3x+4y=12
Subtract 3x from both sides:4y=-3x+12
Divide 4 on both sides... y=-3/4x+3
and we got our answer.
At a picnic there are 7 pieces of fruit for every 4 vegetables. If there are 28 pieces of fruit, how many vegetables are there?
Step-by-step explanation:
There are 7 fruits for every 4 vegetables.
If there are 28 fruits, the number of fruits have multiplied by 4. This means that the number of vegetables have multiplied by 4 as well.
=> 4 * 4 = 16 vegetables.
Hence there are 16 vegetables.
24 cm
32 cm
What is the length of the hypotenuse of the triangle?
Answer:
c= 40
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + 32^2 = c^2
576+ 1024 = 1600
you have to square your number once you get the sum.
1600 squared is 40
c=40
I hope this helped
describe the relaationship between two place value positions
Answer:
Any place-value position is 10 times greater than the position to its right and / of the position to its left.
Mark Scott bought a digital camera through the store installment plan. The camera sells for $499.99. Determine the amount he financed if he made a 20 percent down payment.
Answer: A.
The article published in the journal is more credible because it is a newer issue.
Mark is writing a paper about digital cameras. He thinks that in the future most people will use only the cameras in their phones.He asks his friend’s older brother, Sam. Sam knows a lot about digital cameras. Sam gives him plenty of information about cameras. Sam agrees with Mark when he says that in the future most photos will be taken with camera phones. He also gives Mark a book containing advertisements of cameras from the years 2000 to 2010.
Later, Mark visits the local library. He looks up the latest issues of magazines on cameras and photography. Mark goes through many magazines. Finally, he finds an article in a photography journal that is well-known, and was published by a famous camera company. The article was written in 2015 by a popular photographer.
Which of these sources would give the best information?
A.
The article published in the journal is more credible because it is a newer issue.
B.
The information supplied by Sam is credible because he knows a lot about cameras.
C.
The magazines are more credible because they are the latest issues.
D.
The book with advertisements is more credible because it has more information.
Step-by-step explanation:
Which of the following are acceptable weights? 13.5 oz
13.8 oz
14.15 oz
14.2 oz
14.3 oz
Answer:
13.8 oz
14.15 oz
14.2 oz
Step-by-step explanation:
trust me
Answer:
B, C, D
Step-by-step explanation:
Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
10
20
15
30
A)Add 10 to the input to get the output
B)Multiply the input by 2 to get the output
C)Multiply the input by 3 then subtract 5 from the result to get the output
Answer:
B)Multiply the input by 2 to get the output
Step-by-step explanation:
5x2=10
10x2=20
15x2=30