The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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4(8+y)=96 I need this answer if anyone knows it let me know
Answer:
y = 16
Step-by-step explanation:
Given
4(8 + y) = 96 ( divide both sides by 4 )
8 + y = 24 ( subtract 8 from both sides )
y = 16
Answer:
y = 16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(8+y)-(96)=0
4 • (y + 8) - 96 = 0
Pull out like factors :
4y - 64 = 4 • (y - 16)
4 • (y - 16) = 0
Solve : 4 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve : y - 16 = 0
Add 16 to both sides of the equation :
y = 16
Please help me I need help with algebra 2
Answer:If (x + 1) is a factor of the polynomial p(x), then p(x) can be written as:
p(x) = (x + 1) q(x)
for some polynomial q(x). By substituting x = -1 into this expression, we can find the value of c:
p(-1) = (-1 + 1) q(-1) = 0 q(-1) = 0
So,
0 = 5(-1)^4 + 7(-1)^3 - 2(-1)^2 - 3(-1) + c
= -5 + 7 - 2 + 3 + c
= c = 3
So, the value of c that makes (x + 1) a factor of the polynomial p(x) = 5x^4 + 7x^3 - 2x^2 - 3x + c is c = 3.
a rectangle has a length of 8 m and a width of 4.5 m. a parallelogram has a length of 6 m. the area of parallelogram is twice the area of the rectangle
Answer:
Let the height of the parallelogram be h. Then the area of the rectangle is:
A(rectangle) = length x width = 8 m x 4.5 m = 36 m^2
And the area of the parallelogram is:
A(parallelogram) = base x height = 6 m x h = 6h m^2
We are given that:
A(parallelogram) = 2 A(rectangle)
6h = 2(36)
6h = 72
h = 12
Therefore, the height of the parallelogram is 12 meters.
So, the area of the parallelogram is:
A(parallelogram) = base x height = 6 m x 12 m = 72 m^2
Hence, the area of the parallelogram is twice the area of the rectangle, as required.
A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
At noon, a tank contained 20 in. of water. After several hours, it contained 16 in. of water. What is the percent decrease of water in the tank
Answer:
20 percent decrease
Step-by-step explanation:
it lost 4 inches of water (20-16) and 4 is a fifth of 20. a fifth is 20 percent so it is a 20 percent decrease
Michelle orders 200 T-shirts to sell at the school carnival. She pays $6.50 per shirt, plus 5% of the total order for shipping. How much does she pay in all?
A $6.83
B $65.00
C $1,235.00
D $1,365.00
Michelle pays $1365 in total.
Option D is the correct answer.
We have,
To calculate the total amount Michelle pays for the T-shirts, we need to consider the cost per shirt and the shipping fee.
The cost per shirt is $6.50, and she ordered 200 shirts, so the cost of the shirts alone is:
= $6.50 x 200
= $1300
The shipping fee is 5% of the total order, which is:
= 5% x $1300
= $65
To find the total amount Michelle pays, we add the cost of the shirts and the shipping fee:
= $1300 + $65 = $1365
Therefore,
Michelle pays $1365 in total.
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Rebecca was curious whether \triangle STV△STVtriangle, S, T, V and \triangle WUV△WUVtriangle, W, U, V are similar. She wrote a proof and came to the conclusion that they are not similar, but her proof is wrong.
Answer:
The length of side VT is not 5
Step-by-step explanation:
I got it right on Khan academy
Answer:
The length of side VT is not 5
X/10 =-5
slove each equation
Answer:
x = -50
Step-by-step explanation:
Let's solve your equation step-by-step.
x/10=−5
Step 1: Simplify both sides of the equation.
1/10x=−5
Step 2: Multiply both sides by 10.
10*(1/10x)=(10)*(−5)
x=−50
9- 2 3/4 please hurry
Answer:
6 1/4
Step-by-step explanation:
Two trucks leave a warehouse at the same time. One travels north at an average speed of 58miles per hour, and the other travels south at an average speed of 64miles per hour. After how many hours will the two trucks be 488 miles apart?
Answer:
4 hours
Step-by-step explanation:
After 4 hours, the north-bound truck will have traveled 232 miles and the south-bound truck will have traveled 256 miles. 232 + 256 = 488 miles.
I need some help with this and with the other 6 question! Help this girl in need
Answer:
i think it is y=15x-6
Step-by-step explanation:
if it is correct plz plz mark as brainliest
thank you
19NBoli
Answer:
y = 2x-6
Step-by-step explanation:
Slope intercept form:
y = mx+b
m = slope
In this case the slope is 2/1 or 2.b = The point where the line crosses the y-axis
In this case -6 is the exact point the line crosses the y-axisSo if you put it all together you get the answer of:
y = 2x-6
I hope this helped!
P.S. I am so sorry I couldn't respond earlier :(
Sincerely,
Rekifromsk8theinfinity
:D
What is the area of a circle with 20cm diameter
Answer:
area of the circle
area=7.54
Solve 2(2x-5)=3x+x-2x
Answer:
5=x
Step-by-step explanation:
Q=2(2x-5)=3x+x-2x
SOLUTION:
4x-10=4x-2x
-10=2x-4x
-10= -2x
(-+-=+ so 10 and 2 are positive now)
10/2=x
5=x
Wich expression shows the product of 9 and a number?
Answer:
There are two and they both mean the same thing.
Step-by-step explanation:
1. 9 x (times) n
2. 9n
I hope this helps u! :D
convert 2 2/3 into an improper fraction
Answer: 8/3
Step-by-step explanation:
The nth term of an A.P has a value (3a -2). Give the first five terms of the series. What is the sum of the first fifteen terms.
The first five terms of the AP are 1, 4, 7, 10, and 13. And the sum of the first fifteen terms is 375
What is an Arithmetic Progression (AP)An arithmetic progression is a sequence where the differences between every two consecutive terms are the same.
The first five terms of the arithmetic progression AP are derived by replacing "a" for each term from 1 to 5;
3(1) - 2 = 1
3(2) - 2 = 4
3(3) - 2 = 7
3(4) - 2 = 10
3(5) - 2 = 13
we observe there is a common difference of three between each term.
The sum of first fifteen terms is calculated using the formula;
n/2[2(a) + (n - 1)d] {where n = the number of terms, a = the first term and d = the common difference}
Hence, by substitution, we have!
15/2[2(1) + (15 - 1)3]
15/2[2 + (16)3]
15/2[2 + 48]
(15/2)(50) {divide 50 by 2}
15 × 25
375.
Therefore, the first five terms of the arithmetic progression AP are 1, 4, 7, 10, and 13 and by application of the formula for calculating the sum of a given number of terms, the sum of the first fifteen terms is 375.
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2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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David is looking to purchase a new computer monitor. He is looking at one that states it is 17 inches. Computer monitors are measured by the screen diagonal. If the screen measures 10 inches high, what is the width of the screen to the nearest tenth of an inch?
Answer:
Answer: 7
Step-by-step explanation:
The answer is 7
I hope this helps
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
Compare the rules of two games:
Game A: Two six-sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the product of the numbers on the dice is even.Player 2 gets a point if the product is odd.
Game B: Two six - sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the sum of the numbers on the dice is even.Player 2 gets a point if the sum is odd.
Which statement accurately describes whether these games are fair?
A: Both Game A and Game B are fair.
B: Game A is not fair,and Game B is fair.
C: Neither Game A nor Game B is fair.
D: Game A is fair,and Game B is not fair.
Answer: Choice B
Game A is not fair, and game B is fair.
==============================================================
We'll start with game A.
The sides of the dice are {1,2,3,4,5,6}
There are 6*6 = 36 ways to roll two dice.
If we roll two odd numbers, say 3 and 5, the product is odd because 3*5 = 15.
If any of the numbers are even, then the product is even. Eg: 4*5 = 20 or 2*6 = 12.
To be an even number, 2 must be a factor.
So you can probably see that it's more likely to get an even number product considering that in order to get an odd product, both values must be odd (which narrows the selection pool). We can say that game A is not fair. It favors player 1 more. If you're sure about this, then I recommend looking at a multiplication table but only focus on the first 6 rows and 6 columns. Ignore the row and column that has 0s in it.
------------------------------
Now onto game B
The rules are nearly the same, except now instead of multiplying the dice values, we add them up.
We still have 6*6 = 36 outcomes.
Here are some handy rules we'll take into account
even+even = eveneven+odd = oddodd+odd = evenIf the first dice rolls to '1', then there are 3 ways to get an even number (rolling either 1,3,or 5 on the second dice) and there are 3 ways to get an odd number (rolling either 2,4,or 6 on the second dice). We can see that there are the same number of ways to get an even sum or an odd sum. Apply this in general to any result that the first dice shows, and this basically leads to the conclusion that half of the 36 sums are even, and the other half are odd. We have a fair game now. Refer to a sum of dice chart if you need more convincing.
Answer:
Game A is not fair, and game B is fair.
Step-by-step explanation:
test on iready
y"+y'-6y = 12e^3t+12e^-2t
Answer
yc(T)=y"+y'-6y=0
Step-by-step explanation:
Find the value of:-8/9÷-2/3×-4 1/2
Answer:
-6
Step-by-step explanation:
give three examples of turning force that we can see it our day to day life
Answer:
A person pushing a swing will make the swing rotate about its pivot.
A worker applies a force to a spanner to rotate a nut.
A person removes a bottle's cork by pushing down the bottle opener's lever.
A force is applied to a door knob and the door swings open about its hinge.
absolute value of -6 3/5
Answer:
6 3/5
Step-by-step explanation:
Because absoulte value takes out the minus sign!
Answer:
The absolute value of -6 3/5 is 6 3/5
Step-by-step explanation:
Because when you put a number in absolute value it ALWAYS MAKES IT A POSITIVE NUMBER!!
-2.5=P+7.1. Find Pcan you explain me
-2.5=P+7.1
We want to isolate P.
Hence, we must move 7.1 to the left hand side, this can be given by
\(-2.5-7.1=P\)that is, since 7.1 is adding to P on the right hand side, when you move it to the left hand side
7.1 must substract -2.5.
Finally, since
\(-2.5-7.1=-9.6\)we have that
\(P=-9.6\)Jennifer had a party. she wanted to give an equal number of balloons to her six friends. if one of her friend did not turn up for the party, the rest will be able to receive another two balloons each. how many balloons do Jennifer have?
Answer:
Jennifer had 60 balloons initially.
Step-by-step explanation:
Let's assume that Jennifer had x balloons initially.
If she wanted to give an equal number of balloons to her six friends, then each friend would receive x/6 balloons.
If one of her friends did not turn up for the party, then the remaining five friends would receive x/5 balloons each.
According to the problem, the remaining five friends would receive an additional two balloons each, which means they would receive a total of x/5 + 2 balloons each.
Since the number of balloons given to the friends must be the same in both scenarios, we can set up an equation:
x/6 = x/5 + 2
Multiplying both sides by 30 (the least common multiple of 6 and 5) gives:
5x = 6x + 60
Subtracting 5x from both sides gives:
x = 60
Therefore, Jennifer had 60 balloons initially.
Answer:
60
Step-by-step explanation:
if the absent friend had 10 balloons it made sense that each friend recieves another two ballons each
Michael Jordan scores the following points over 8 games: 24, 17, 28, 19, 23, 20, 13, 19. What is the mean (average) number of points she scored over those 8 games
Answer:
19
Step-by-step explanation:
Answer:
20.375
Step-by-step explanation:
To calculate the mean, in this situation, you first add up the game scores and divide it by the amount of games.
So, first we add 24+17+28+19+23+20+13+19 = 163
Because there are 8 games, we do 163 / 8 = 20.375
or 20.4 to 1dp
Hope this helped! If anything requires clarification, don't hesitate to ask me. I can assure you this is the right answer.
- profparis
a right triangle had side lengths d,e,and f as shown below. use these lengths to find sin x cos x and tan x
A test to determine whether a certain antibody is present is 99.3% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.3% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.007 . Suppose the test is given to six randomly selected people who do not have the antibody.
(a) What is the probability that the test comes back negative for all six people?
(b) What is the probability that the test comes back positive for at least one of the six people?
a) The probability that the test comes back negative for all six people is 95.8%,
b) The probability that the test comes back positive for at least one of the six people is 4.2%.
(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.
Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:
P(negative for all 6) = (0.993)^6 ≈ 0.958
Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.
(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.
The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.
The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:
P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042
Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.
In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.
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Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
Need asap pleaseeeeee
Answer:
Hello!!
Reading a \(\frac{1}{8}\) inch ruler practice 1
A) \(1\frac{2}{8}\) simplified version \(1\frac{1}{4}\)
B) \(2\frac{1}{8}\)
C) \(2\frac{6}{8}\) simplified version \(2\frac{3}{4}\)
D) \(3\frac{5}{8}\)
E) \(4\frac{4}{8}\) simplified version \(4\frac{1}{2}\)
F) \(5\frac{7}{8}\)
Hope this helps!!
Answer:
A=1 3/8 inch
B=2 5/16 inch
C=3 3/4 inch
D=3 11/16 inch
E=4 9/16 inch
F=5 5/8 inch
Step-by-step explanation:
This is how I figured it out. good luck!! Have a great day!! :))