6x≥-24 is the inequality of sentence Six times a number x is at least −24 and x≥-4 is the solution of inequality.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given sentence is Six times a number x is at least −24.
Whenever there is a word times means it is a product.
Atleast means greater than or equal to.
Let x be the number in inequality.
Six times a number x is 6x.
Six times a number x is atleast −24.
6x≥-24
6x≥-24 is the required inequality
Divide both sides by 6
x≥-4
Hence, 6x≥-24 is the inequality of sentence Six times a number x is at least −24 and x≥-4 is the solution of inequality.
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¿Qué distancia recorre un móvil en 2 s cuando se le suelta de un edificio de 100 m de altura?
the answer is 50:::::::_::::::::
Which of the following mixtures will have a stronger coffee flavor? explain please thank you!!
A) Mixture B
B) Mixture A
C) Both the mixtures are equally strong.
Graph y = -1/3x + 5 (help)
ANSWERS:
Graph: See attached image
Slope: [tex]-\frac{1}{3}[/tex]
Y- intercept: (0,5)
X-intercept: (15,0)
Domain: (-∞,∞)
Range: (-∞,∞)
I hope this helped! Good luck with your mathematics class!
Which equation represents an exponential function that passes through the point (2, 36)?f(x) = 4(3)xf(x) = 4(x)3f(x) = 6(3)xf(x) = 6(x)3
Answer:
Step-by-step explanation:
A is the answer
Answer:
Option A. f(x) = 4(3)x
is the answer.
Step-by-step explanation:
Is this correct so far
i think it's correct so far
Answer:
yes it is correct so far
Mr. Schwartz recorded the time, in minutes, that each of the 17 members at his fitness club spent on a treadmill in a single session. The bar
graph displays the data he recorded.
Which statement is true?
А.
The data is skewed to the left.
B.
The data is symmetrical
C.
The skew of the data cannot be determined,
D.
The data is skewed to the right
Answer:
A
Step-by-step explanation:
I am pretty sure the graph is skewed to the left, because the trailing tail is on the left. Sorry for the bad explanation lol
Solve the following problem: 892 ÷ 4 = ? *
\
Answer:
223
Step-by-step explanation:
hope it helps!!!!......
Answer:
223
Step-by-step explanation:
892 ÷ 4 = 223
Can i get brainliest? plz!
Solve the equation simultaneously
3x+4y-z=19
5x+2y+z=15
2x+3y+2z=11.
Find x+y+z
Answer:
sorry little busy to calculate
Step-by-step explanation:
+5x+2y+z=15
3x +4y_z=19,,,choose which term u wanna eliminate first so u will be able to get your answer there
PLEASE HELP ME MATH PROBLEM UGH
Answer:
the 2nd, 5th and 7th are the correct ones.
Mike and Molly share some money in the ratio 2 : 3.
Molly gets 135 AED more than Mike.
(b) How much do they each get?
Answer:
Mike 270
Molly 405
Step-by-step explanation:
Let Mike be x
Let Molly be x + 135
2/3 = x/(x + 135) Cross Multiply
2*(x + 135) = 3x Remove the brackets
2x + 270 = 3x Subtract 2x from both sides
2x-2x + 270 = 3x - 2x
270 = x
Mike gets 270
Molly gets 270 + 135
Molly gets 405
What is the rate of change between the two given points? ..... help
Find the real or imaginary solutions.
x^4 + 3x^2 - 18 = 0
PLEASE SHOW WORK.
Step-by-step explanation:
Here is your explanation:
((x4) - 3x2) - 18 = 0 Factoring x4-3x2-18
The first term is, x4 its coefficient is 1 .
The middle term is, -3x2 its coefficient is -3 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 1 • -18 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -3 .
-18 + 1 = -17 -9 + 2 = -7 -6 + 3 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 3
x4 - 6x2 + 3x2 - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2-6)
Add up the last 2 terms, pulling out common factors :
3 • (x2-6)
Step-5 : Add up the four terms of step 4 :
(x2+3) • (x2-6)
Which is the desired factorization
Find roots (zeroes) of : F(x) = x2+3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 3.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor -1 1 -1.00 4.00 -3 1 -3.00 12.00 1 1 1.00 4.00 3 1 3.00 12.00
Factoring: x2-6
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 6 is not a square !!(x2 + 3) • (x2 - 6) = 0 product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.Solve : x2+3 = 0
Subtract 3 from both sides of the equation :
x2 = -3
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ -3
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Accordingly, √ -3 =
√ -1• 3 =
√ -1 •√ 3 =
i • √ 3
The equation has no real solutions. It has 2 imaginary, or complex solutions.
x= 0.0000 + 1.7321 i
x= 0.0000 - 1.7321 i
Solve : x2-6 = 0
Add 6 to both sides of the equation :
x2 = 6
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 6
The equation has two real solutions
These solutions are x = ± √6 = ± 2.4495
Solving x4-3x2-18 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Solve x4-3x2-18 = 0
This equation is reducible to quadratic. What this means is that using a new variable, we can rewrite this equation as a quadratic equation Using w , such that w = x2 transforms the equation into :
w2-3w-18 = 0
Solving this new equation using the quadratic formula we get two real solutions :
6.0000 or -3.0000
Now that we know the value(s) of w , we can calculate x since x is √ w
Doing just this we discover that the solutions of
x4-3x2-18 = 0
are either :
x =√ 6.000 = 2.44949 or :
x =√ 6.000 = -2.44949 or :
x =√-3.000 = 0.0 + 1.73205 i or :
x =√-3.000 = 0.0 - 1.73205 i
so we found four answers:
x = ± √6 = ± 2.4495
x= 0.0000 - 1.7321 i
x= 0.0000 + 1.7321 i
sorry for taking time to answer
hope its helps
The correct option is A because [tex]x=\pm\sqrt{6}i[/tex] or [tex]x=\pm\sqrt{3}[/tex].
Given:
The given equation is:
[tex]x^4+3x^2-18=0[/tex]
To find:
The real and imaginary solutions of the given equation.
Explanation:
We have,
[tex]x^4+3x^2-18=0[/tex]
Substitute [tex]x^2=t[/tex] in the given equation.
[tex]t^2+3t-18=0[/tex]
Splite the middle term.
[tex]t^2+6t-3t-18=0[/tex]
[tex]t(t+6)-3(t+6)=0[/tex]
[tex](t+6)(t-3)=0[/tex]
Using zero product property, we get
[tex]t+6=0[/tex] or [tex]t-3=0[/tex]
[tex]t=-6[/tex] or [tex]t=3[/tex]
Substituting [tex]t=x^2[/tex], we get
[tex]x^2=-6[/tex] or [tex]x^2=3[/tex]
[tex]x=\pm\sqrt{-6}[/tex] or [tex]x=\pm\sqrt{3}[/tex]
[tex]x=\pm\sqrt{6}i[/tex] or [tex]x=\pm\sqrt{3}[/tex]
Therefore, the correct option is A.
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Write an algebraic expression for the verbal expression.
the sum of a number xand 10
Someone help me
PLS HELP!!! FIRST GETS BRAINLIEST!
Which ordered pairs make both inequalities true? Check all that apply.
A. (−5, 5)
B. (0, 3)
C. (0, −2)
D. (1, 1)
E. (3, −4)
Answer:
i really am his alt
Step-by-step explanation:
Answer: (0, -2) & (1, 1)
Step-by-step explanation:
Which one should I choose
Answer:
D. -11/3b > 2/3
Step-by-step explanation:
We automatically can rule out B and C because it says is more than 2/3. The greater-than sign is >. B uses the less-than sign <, and C uses the greater-than or equal to sign ≥.
This leaves us with A. and D. The equation states One-third of a number b multiplied by -11. A. only has -11/b, but D. has -11/3 b. Because of this we can rule out A. so the answer is D.
I hope that this helps! :)
[tex]6(x+6)=7(x-9)[/tex] Solve for x.
Answer:
x= 99
Step-by-step explanation:
first we open brackets
6x+36=7x-63
transpose
6x-7x= -63-36
-x=-99
the signs cancel each other so
x= 99
I need help ASAP I will give branliest.
The picture is the answer choices.
Which equation represents a line that passes through (6, 10) is perpendicular to
y = 3x – 14 ?
Answer:
The last one
Step-by-step explanation:
Use Elimination to solve the system of equations
Answer:
(-9/10, 23/10)
Step-by-step explanation:
The parabola y = 3(x + 1)^2 + 3 has a vertex of
Answer:
( 1, -3)
Step-by-step explanation:
[tex]y=a(x-h)^2+k[/tex]
The vertex is at (h,k). For "h", swap the negative to positive and positive to negative.
So the vertex is (-1,3)
Solve the proportion below. X/12=12/72
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation:
Write the standard form of the equation of the horizontal and vertical lines that pass through the point (-7,5)
HELPP ASAP PLEASE
Answer:
A horizontal line has a gradient = 0 and only has a y-intercept.
In the standard form this would mean that
m =0, and c =5 So, y = 5
Step-by-step explanation:
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
Answer:*******************brainliest
Answer:
How is your day going lol
Step-by-step explanation:
was this supposed to be a question lol>
Find two ordered pairs of the solution- 2y=4x+8
1. (-6, -8) (3, 10)
2. (-6, -16) (3, 10)
3. (8, 20) (4, 4)
4, (8, -16), (4, 2)
Its for my final plz help fast I'm giving all my points and brainliest
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(1, 7) (2, 10) (3, 5) (4, 7) (5, 9) hope that helps
Solve for the line from the graph, thank you!
Answer:
y = 3/4 + 3/2
Step-by-step explanation:
Slope = 3/4
Solve for y-int.
0 = 3/4(-2) + b
-3/2 + b = 0
b = 3/2
y = 3/4x +3/2
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation:
2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
c. Y = 7.75 + x
d. Y = 7.75x
Why do you think Americans might have wanted the lands in the Louisiana
Purchase in 1803? What advantages would it give the young nation?
Answer:
Step-by-step explanation:
You put this in the wrong place, but I'll answer it anyway.
Let's see what we can get out of it.
1. It allowed western expansion.
2. It gave the United States a southern route to enhance trade.
3. It brought America closer to the slave trade which the southern states needed at the time. I don't like posting this answer, but it is a historical fact.
4. It made things a little difficult for the Spanish who had the ports in Louisiana.
5. It made the land route to the west coast a little easier to do. Not much but some.
6. Considering the cost of the land and how it was later developed, the price paid was a steal.
if the measure 3= (2y+20) degrees, and the measure of 5= (210-4y) degrees, what is the measure of 4?
Answer:
110°
Step-by-step explanation:
y = 25
Angle 5 equals Angle 4 because of the Alternate Angles Postulate.
Angle 4 equals 110°
The measure of angle ∠4 is 110 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Given that the measure Angle 3= (2y+20) degrees, and the measure of Angle 5= (210-4y) degree
Then ∠3 + ∠5 = 180, By Co-interior angles are supplementary
2y + 20 + 210 - 4y = 180
2y - 4y + 20 + 210 = 180
-2y + 230 = 180
Now Subtract 230 from both sides;
-2y = 180 - 230
-2y = -50
Then Divide both sides by (-2);
y = -50/-2
y = 25
Now, ∠5 = 210 - 4y
= 210 - 100
∠5 = 110
∠4 = ∠5 { by Alternate interior angles are equal}
∠ 4 = 110°
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