To find the coordinate pair in the solution set for y < 1 - 6x, substitute x and y values into the inequality and check if it is satisfied.
Explanation:The question asks for a coordinate pair that is in the solution set for the inequality y < 1 - 6x. To find the solution set, we need to find the values of x and y that satisfy the inequality. Let's pick a few coordinate pairs and substitute the values into the inequality to see if they satisfy it.
For example, let's try the coordinate pair (1, 0). Substituting x = 1 and y = 0 into the inequality, we get 0 < 1 - 6(1), which simplifies to 0 < 1 - 6, and further simplifies to 0 < -5. Since this statement is false, the coordinate pair (1, 0) is not in the solution set.
Similarly, we can try other coordinate pairs and substitute the values into the inequality to check if they satisfy it. The coordinate pair that satisfies the inequality will be in the solution set.
What is the number of real solutions?
–11x2 = x + 11
cannot be determined
one solution
two solutions
no real solutions
Answer:
no real solutions.
Step-by-step explanation:
-11[tex]x^{2}[/tex] = x+11. Put into standard form of a quadratic equation.
11[tex]x^{2}[/tex] + x + 11 = 0 Find a, b, and c.
a = 11, b =1, c = 11 Write and substitute into the quadratic equation[tex]\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}[/tex] .
[tex]\frac{-1 +/- \sqrt{1^{2} - 4(11)(11)} }{2(11)}[/tex] Simplify.
[tex]\frac{-1 +/- \sqrt{1-484} }{2(11)}[/tex]=
[tex]\frac{-1 +/-\sqrt{-483} }{22}[/tex] BUT because the [tex]b^{2} -4ac[/tex] part under the √ is less than 0, THERE IS NO SOLUTION!
The sum of 8 and 7, doubled
For Earth Day, the school plans to sell the following buttons to students and the community. The school will have to pay $18 for 15 dozen buttons. How much will the school have to pay for 50 dozen buttons?
The school will have to pay $60 for 50 dozen buttons, by using a proportional calculation based on the known cost of $18 for 15 dozen buttons.
Explanation:The student's question involves calculating the cost of purchasing a larger quantity of buttons based on a known cost for a smaller quantity. To solve this, we will use proportional reasoning.
The school pays $18 for 15 dozen buttons. First, we find the cost for one dozen by dividing the total cost by the number of dozens:
$18 ÷ 15 dozen = $1.20 per dozen
Next, we calculate the cost for 50 dozen buttons by multiplying the cost per dozen by the number of dozens:
$1.20 per dozen × 50 dozen = $60
Therefore, the school will have to pay $60 for 50 dozen buttons.
what happens to the graph of a line when the slope is negative? Check all that apply. may choose more then 1.
A. As the absolute value of the negative slope gets bigger, the graph of the line gets steeper.
B. As the absolute value of the negative slope gets smaller, the graph of the line gets steeper.
C. The line goes down from left to right.
D. The line shifts down.
E. The line goes up from left to right
Use the polynomial identity to determine which values of x and y generate the values of the sides of the following right triangle.
x = 8, y = 3
x = 3, y = 8
x = 6, y = 4
x = 4, y = 6
A pack of gum costs 75 cents. That is 3 cents less than three times what the pack cost 20 years ago. Which equation could be used to find the cost of the gum 20 years ago?
A)
0.3x - 0.3 = 0.75
B)
3x - 0.3 = 0.75
C)
3x - 3 = 75
D)
3 - 3x = 75
Answer:
C
Step-by-step explanation:
Let the cost of a pack of gum 20 years ago = x cents
Given, present cost of a pack of gum = 75 cents
Given, present cost of a pack of gum is 3 cents less than three times what the pack costs 20 years ago.
So,
[tex]75 + 3 =3x[/tex]
[tex]75= 3x -3[/tex]
[tex]3x-3=75[/tex]
Therefore,
Equation , [tex]3x-3=75[/tex] , can be used to find the cost of the gum 20 years ago.
If the first equation is multiplied by 3 and then the equations are added, the result is _____.
3x + y = 3
x - 3y = -2
10x = 11
10x = 7
8x = 7
Answer: The correct option is (B) [tex]10x=7.[/tex]
Step-by-step explanation: The given equations are :
[tex]3x+y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We are to select the correct result if the first equation is multiplied by 3 and then added to the second equation.
Now, multiplying equation (i) by 3, we get
[tex]3(3x+y)=3\times 3\\\\\Rightarrow 9x+3y=9~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
adding equation (iii) to equation (ii), we get
[tex](9x+3y)+(x-3y)=9+(-2)\\\\\Rightarrow 9x+3y+x-3y=9-2\\\\\Rightarrow 10x=7.[/tex]
Thus, the required result is [tex]10x=7.[/tex]
Option (B) is CORRECT.
Is the area between y = 1/x and y = 1/x^2 on the interval from x = 1 to finite or infinite?
If two sides of a triangle are not =, the angle opposite the ___ side is the larger angle. shortest, intermediate, longest?
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
If two sides of a triangle are not equal,
According to Relationship between the angle and side , we know that the angle opposite the shortest side is the larger angle,
And,
The angle opposite the longest side is the shortest angle
So, First option is correct.
jamal is 167 cm tall which expression expression finds jamals height in dekametres
A.167 times 100
B.167 times 1000
C.167 divided by 100
D.167 divided by 1000
Jamal's height can be converted to dekametres by dividing his height in centimeters (167 cm) by 1000, because there are 1000 centimeters in a dekametre.
To convert Jamal's height from centimeters to dekametres, we should recall that 1 dekametre equals 10 meters or 1000 centimeters. Since Jamal is 167 cm tall, we need to divide his height in centimeters by the number of centimeters in a dekametre to get his height in dekametres.
Therefore, the correct expression to find Jamal's height in dekametres is:
167 divided by 1000
This is option D: 167 / 1000.
If he swim 900m in a day how many kilometers he swim
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = .
Find the radius of a circle that has a circumference of 16.
Answer: 8 units
Step-by-step explanation:
Given: The formula for the circumference of a circle is [tex]C=2\pi r[/tex], where r is the radius and C is the circumference.
To solve equation for r , we divide [tex]2\pi[/tex] on both sides, we get
[tex]r=\dfrac{C}{2\pi}[/tex]
Now, the circumference of the circle = [tex]16\pi \text{units.}[/tex]
Then, [tex]r=\dfrac{16\pi}{2\pi}=8\ \text{units}[/tex]
Hence, Circumference of the circle = 8 units
Randolph has 8 ties, 6 pairs of pants, and 4 dress shirts. how many days can randolph go without wearing the same combination of these three items?
Find the perpendicular slope of the line 3X-9Y=15
The exponential expression 4^-2 is equal to what fraction value
What is the first step in solving a quadratic equation of the form given below?
(ax + b)2 = c
A.Divide both sides by c
B.Use the zero product rule
C.Factor out a common factor
D.Take the square root of both sides
the answer is d,,,,,,,,,,,,,,,,,
Answer:
Correct option is D.
Step-by-step explanation:
Given the quadratic equation
[tex](ax+b)^2=c[/tex]
we have to define the first step in solving a quadratic equation.
To find the value of x we have make the equation linear i.e taking the square root on both sides as c is any constant.
If c is 0 the we use the zero product rule.
Hence, our first step in solving a quadratic equation of the form
[tex](ax+b)^2=c[/tex]
is to take the square root of both sides.
Correct option is D.
Solve for y.
7y - 6y - 10 = 13
y = -23
y = -3
y = 3
y = 23
How many real solutions does the function shown on the graph have?
Can someone explain?
One, Two, None, or can't be determined?
Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x coordinate of each coin, xA, xB, and xC.
on a grid, what is the distance between two points located at (2,1) and (14,6)
A.) 5
B.) 13
C.) 12
D.) 17.46
Use the elimination method to solve the following system of equations.
2x - y + z = -3
2x + 2y + 3z = 2
3x - 3y - z = -4
An obtuse triangle with area 12 has two sides of lengths 4 and 10. Find the length of the third side. (There are two answers.) (Use law of cosines) ...?
Final answer:
Using the Law of Cosines, the length of the third side of the obtuse triangle is x = sqrt(52) or x = 2sqrt(13).
Explanation:
To find the length of the third side of an obtuse triangle with sides of lengths 4 and 10 and an area of 12, you can use the Law of Cosines. The Law of Cosines states that in a triangle with sides a, b, and c, and angle C opposite side c, the equation c^2 = a^2 + b^2 - 2ab * cos(C) can be used to find the length of side c.
In this case, let's assume that the third side of the triangle has length x. We can set up the equation as x^2 = 4^2 + 10^2 - 2*4*10 * cos(C), where C is the angle opposite side x.
Simplifying the equation, we get x^2 = 116 - 80*cos(C).
Since we know that the area of the triangle is 12, we can use the formula Area = 0.5 * a * b * sin(C) to find the value of sin(C). Plugging in the given values, we get 12 = 0.5 * 4 * 10 * sin(C). Solving for sin(C), we find sin(C) = 0.6.
Using this value of sin(C), we can then find the value of cos(C) by using the trigonometric identity sin^2(C) + cos^2(C) = 1. Substituting sin(C) = 0.6, we get 0.6^2 + cos^2(C) = 1. Solving for cos(C), we find cos(C) = 0.8.
Now, we can substitute the value of cos(C) into the equation x^2 = 116 - 80*cos(C), giving us x^2 = 116 - 80*0.8. Simplifying further, we get x^2 = 52, which means that the length of the third side is either x = sqrt(52) or x = -sqrt(52).
However, since we are dealing with the length of a side, it cannot be negative. Therefore, the length of the third side is x = sqrt(52), which simplifies to x = 2sqrt(13).
What is the result if you divide -12x8y8 by 3x4y2? ...?
Answer:
-4x⁴y⁶
Step-by-step explanation:
To divide -12x⁸y⁸ by 3x⁴y², we can apply the rules of division for exponents.
When dividing variables with the same base, we subtract the exponents:
x⁸ / x⁴ = x⁸-⁴ = x⁴
Similarly, y⁸ / y² = y⁸-² = y⁶
Now, let's divide the coefficients:
-12 / 3 = -4
Putting it all together, the result of dividing -12x⁸y⁸ by 3x⁴y² is:
-4x⁴y⁶
Write the tangent ratios for P and Q. The figure is not drawn to scale.
Answer:
tan P = 24/7 and tan Q = 7/24
Step-by-step explanation:
tangent of any angle in a right angle triangle is always represented by
tan x = opposite side/ adjacent side = height / base
from the question we have to write tangent of P and Q.
tan P = QR/PR = 24/7
tan Q = PR / RQ = 7/24
So the answers are tangent ratios for P and Q are 24/7 and 7/24.
Which pair of angles must be congruent?
A. Supplementary angles
B. Complementary angles
C. Adjacent angles
D. Vertical angles
Which of the following are valid names for the triangle below? Check all that apply.
A. KE
B. KMD
C. DKM
D. SKMO
E. MDK
F. SKD
Answer:
KMD,MDK,DKM
Step-by-step explanation:
n is a positive integer.
Explain why n(n-1) must be an even number.
This is a continuous set of numbers. every real number from the starting value to the ending value is included. it is called an ___.
What is the mean of 4, 6, 8, 20, 12?
Answer:
The correct answer is A. 10
4+6+8+20+12=50
50/5 =10
Step-by-step explanation:
Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8.
A. Divide by 2 from both sidesB. Square root both sidesC. Divide by 6 from both sides
D. Subtract 4 from both sidesE. Subtract 8 from both sidesF. Square both sides
Answer:
First F, then D, then C