The most appropriate choice for linear inequation will be given by
Solution set = {[tex]x \epsilon \mathbb{R}, x \leq 6[/tex]}
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]>[/tex], [tex]<[/tex], [tex]\geq[/tex], [tex]\leq[/tex] sign
A one degree inequation is known as linear inequation.
Here,
[tex]4(x - 3) - 7x \geq 6\\4x -12 - 7x \geq 6\\-3x -12\geq 6\\-3x \geq 6 + 12\\-3x \geq 18\\x \leq \frac{18}{3}\\x \leq 6[/tex]
Solution set = {[tex]x \epsilon \mathbb{R}, x \leq 6[/tex]}
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The measure of an angle is 21°. What is the measure of its supplementary angle?
Answer:
180-21= 159
Step-by-step explanation:
supplementary angles means their sum equals 180
Which ordered pairs in the form (x, y) are solutions to the equation 7x-5x=28
The ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.
What is ordered pairs?A pair is considered to be ordered when two elements are written inside parantheses and are separated by a comma. The ordered pair (x, y), for instance, is represented by the notation (x, y), where 'x' is referred to as the first element and 'y' as the second element.
Depending on the context in which they are used, these elements—which can either be variables or constants—have different names. In a pair of elements that are ordered, the elements' order is somewhat significant. This indicates that (x, y) might not always be equal to (y, x).
We have given the equation 7x – 5y = 28
we know that a ordered pair (x,y) must satisfy the equation
So let us do trial and error method
A. (−6, −14)
7(-6) – 5(-14) = 28
-42 + 70 = 28
28 = 28
ordered pair (−6, −14) in the form (x, y) satisfy for 7x – 5y = 28
B. (−1, −7)
7(-1) – 5(-7) = 28
-7 + 35 = 28
28 = 28
ordered pair (−1, −7) in the form (x, y) satisfy for 7x – 5y = 28
C. (4, 10)
7(4) – 5(10) = 28
28 - 50= 28
22 ≠ 28
ordered pair (4, 10) in the form (x, y) doesn't satisfy for 7x – 5y = 28
D. (7, 9)
7(7) – 5(9) = 28
49 - 45= 28
4 ≠ 28
ordered pair (7, 9) in the form (x, y) doesn't satisfy for 7x – 5y = 28
Thus, the ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.
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Full question
Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?
Choose all answers that are correct.
A. (−6, −14)
B. (−1, −7)
C. (4, 10)
D. (7, 9)
200 college freshmen were interviewed, 95 were registered for a math class, 80 were registered for an english class, and 60 were registered for both math and english how many signed up neither for math nor english?
Total number of college freshmen that signed up neither math nor English is 85
Total number of college freshmen interviewed = 200
Number of college freshmen registered for a Math class = 95
Number of college freshmen registered for a English class = 80
Number of college freshmen registered for both math and English = 60
Total number of college freshmen signed up either for math or English = Number of college freshmen registered for a Math class + Number of college freshmen registered for a English class - Number of college freshmen registered for both math and English
Total number of college freshmen signed up either for math or English = (95 + 80 - 60) = 115
Total number of college freshmen signed up neither math nor English = ( Total number of college freshmen interviewed - Total number of college freshmen signed up either for math or English )
Total number of college freshmen signed up neither math nor English = 200 -115 = 85
Thus, 85 college freshmen signed up neither math nor English.
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14. Write 5 square root 16^2 using a fractional expression
A. (16)^5/2
B. (16)^2/5
C. 2. (16)¹/5
D 5.(16)^1/2
Answer:
D
Step-by-step explanation:
5√16² = 5(16^1/2)
I need help pleaseeeeeeee
The height of the tree in 30 months given the linear equation is 16m.
What is the height of the tree?The given equation is a linear equation. A linear equation is an equation that changes at a constant rate. The change can either be an increase or a decrease. A linear equation usually has an intercept and a slope. The intercept is the value of the equation when x is zero. The slope is the rate of change of the equation.
H (x) = 10 + 0.20x
10 = intercept
0.20 = slope
In order to determine the height of the tree after 30 months, substitute for x in the above linear equation.
H(x) = 10 + (0.2 x 30)
H(x) = 10 + 6
H(x) = 16
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Can somebody help I need is asap
Would you classify 180 as a perfect square,perfect cub,both or neither
Please help me with this very quick!
Answer:
Step-by-step explanation:
PLEASE HELP ASAP
What reason completes the proof below?
A. Alternate interior angles theorem
B. Corresponding angles postulate
C. Alternate exterior angles theorem
D. Same-side interior angles theorem
You have been told to make 144 two- ounce chocolate chip cookies for a banquet. The recipe yields three pounds of cookies. By what factor would you need to increase the recipe?
How many times bigger is 8 ×10^20 than 2x10^15? express answer in standard form
Answer:
4×10^5
Step-by-step explanation:
Divide (8×10^20) by (2×10^15). Then express the answer you obtain in standard form.
Find the fourth-degree polynomial function with zeros 2, -2, 2i, and -2i. Write the function in factored form.
Answer:
[tex]f(x) = {x}^{4} - 16[/tex]
Step-by-step explanation:
[tex]f(x) = (x + 2i)(x - 2i)(x - 2)(x + 2)[/tex]
[tex]f(x) = ( {x}^{2} + 4)( {x}^{2} - 4) [/tex]
[tex]f(x) = {x}^{4} - 16[/tex]
18.1(2x+3)greater than or equal too -452.5
(if you dont know what greater than its this > )
Answer:
x ≥ -14
Step-by-step explanation:
Hello!
The equation is 18.1(2x + 3) ≥ -452.5
Solve the inequality for x18.1(2x + 3) ≥ -452.536.2x + 54.3 ≥ -452.536.2x ≥ -506.8x ≥ -14The inequality is true for all values of x greater than or equal to -14.
Could someone explain this to me?
The rule of the function g (x) will be;
⇒ g (x) = - x + 3
What is mean by Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
g (x) is the indicated transformation of f (x).
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Now,
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Since, g (x) is the indicated transformation of f (x).
So, g (x) = f (x + 2)
Hence, We get;
g (x) = - (x + 2) + 5
= - x - 2 + 5
= - x + 3
Thus, The rule of the function g (x) will be;
⇒ g (x) = - x + 3
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ANSWER QUICKLY PLEASE 11 POINTS
The ratio of swimmers to swim instructors is 8 to 1. If there are 13 swim instructors, how many swimmers are there
Answer:
104 swimmers
Step-by-step explanation:
ratio is 8:1
8 : 1
x : 13
x = 8 multiplied by 13
swimmers = 104
m/P=S9
14. In ARST, if mZR is five more than twice x, mZS is one more than x, and mZT is sixteen less
than seven times x, find x and the m
Please
Help
x = 19 is the value of x in triangle .
What is triangle explain?
A triangle is a three-sided polygon in geometry that has three edges and three vertices. The fact that the internal angles of a triangle add up to 180 degrees is the most crucial aspect of triangles.A triangle is a polygon with three sides. The three vertices that make up its three sides also create its three angles. Any triangle with vertices and is represented below as A B C: types of triangles Triangle of Scalene: The lengths of the sides are not equal.angle R + angle S + angle T = 180
(5+ 2x) + (7x - 16) + (x + 1) = 180
10x - 10 = 180
10x = 190
x = 19
Therefore
angle R = 5 + 2(19) = 43 degrees
angle S = 19 + 1 = 20 degrees
angle T = 7(19)-16 = 117 degrees
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what is the answer ??
Answer:
60 Sq in
Step-by-step explanation:
14×6= 84
4×6=24
84-24= 60
18. Brett bought three pairs of jeans and five polo shirts. The jeans that regularly sell for $79 were 35% off and the polo shirts that regularly sell for $39 were 15% off. If sales tax is 5.75% and he gave the cashier $350, how much did he receive back in change?
Step-by-step explanation:
Brett bought three pairs of jeans and five polo shirts. The jeans that regularly sell for $79 were 35% off and the polo shirts that regularly sell for $39 were 15% off. If sales tax is 5.75% and he gave the cashier $350, how much did he receive back in change?
3 pairs jeans at regular price costs: 79 * 3 = 237
35% off so paying 65% of full price:
237 * 0.65 = discounted price of 154.05
5 polo shirts at regular price costs: 39 * 5 = 195
15% off so paying 85% of full price:
195 * 0.85 = discounted price of 165.75
cost of jeans and polo shirts at discounted prices: 154.05 + 165.75 = 319.8
Pay an additional 5.75% sales tax. So Brett is paying 1.0575 of the cost:
1.0575 * 319.8 = 338.1885. Rounded, it cost Brett $338.19 for his jeans and polo shirts.
Brett gave $350:
350 - 338.19 = $11.81 change received
plse answer this question
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final value for the expression
[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]
n³ x n³ x n³ = [tex]n^{9}[/tex]
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]m^{7}[/tex] ÷ m²
= [tex]m^{7}[/tex] / m²
= [tex]m^{7-2}[/tex]
= [tex]m^{5}[/tex]
n³ x n³ x n³
= [tex]n^{3+3+3}[/tex]
= [tex]n^{9}[/tex]
Thus,
The final value for the expression
[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]
n³ x n³ x n³ = [tex]n^{9}[/tex]
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I need you to solve this please. The height is 4 cm. The width is 5 cm. And the length is 6cm. I need the volume of this triangle prism. Thanks
Base of the Prism = 5 cm
Height of the Prism = 4 cm
Length of the Prism = 6 cm
The volume of a triangular prism = 1/2 x base x height x length
⇒ Volume = 1/2 x 5 x 4 x 6
⇒ Volume = 60 cm^3
What is a Triangular Prism?A triangular prism is a tri prism in geometry; it is a polyhedron constructed of a triangular base, a translated duplicate, and three faces linking equivalent sides. Right triangular prisms have rectangular sides; otherwise, they are oblique. Right triangles with square sides and equilateral bases are known as uniform triangles.It is, in essence, a polyhedron with two parallel sides and three surface Normals in the same plane (which is not compulsorily parallel to the base planes). These three faces form a parallelogram. The same triangle may be seen in all cross-sections that are perpendicular to the base faces.To learn more about Triangular Prism, refer to:
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Please i need help :(
Answer:
< 3 = 90°, < 8 = 43° and < 4 = 146°
Step-by-step explanation:
Since < 1 and < 3 are on the same straight line, < 3 = 180° - 90°.
Since < 6 = 137° and < 6 and < 8 are on the same straight line, < 8 = 180° - 137° = 43°.
Since < 2 = 34° and < 2 and < 4 are on the same straight line, < 4 = 180° - 34° = 146°.
HELP ILL GIVE U MANY POINTS Write in point- slope form.
(4, 5) (-3, 4)
The equation of line in point-slope form is; 7y = x + 31.
What is defined as point- slope form?The point slope type is used to calculate the equation of a straight line that is inclined to the x-axis at a given angle and runs through a given point. A line's equation is an equation that really is satisfied through every point on the line. This means that a two-variable linear equation represents a line.For the given question;
The points are given as;
(x₁, y₁) = (4, 5)
(x₂, y₂) = (-3, 4)
The slope of the equation of the line is found as;
slope = m = (y₂ - y₁)/(x₂ - x₁)
Put the values;
m = (4 - 5)/(-3 - 4)
m = (-1)/(-7)
m = 1/7
Thus, the point slope form will be;
y - y₁ = m(x - x₁)
y - 5 = (1/7)(x - 4)
Simplifying;
7y - 35 = x - 4
7y = x + 31
Thus, the equation of line in point slope form is; 7y = x + 31.
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Solve for x: 1 < x + 3 < 4
[tex]1 - 3 < x < 4 - 3 \\ - 2 < x < 1[/tex]
WHAT YOU DO ON OTHER SIDE OF THE INEQUALITY YOU HAVE TO DO IT ON EVERY SIDE TO BALANCE THE INEQUALITY
GOODLUCK.
Question 5. Solve for X. Can someone help me I don’t know how to solve this one
Answer:
x = 7
Step-by-step explanation:
since 2 sides are congruent, then the triangle is isosceles with base angles being congruent , both (9x - 25)
the sum of the 3 angles in the triangle = 180° , that is
9x - 25 + 9x - 25 + 104 = 180
18x + 54 = 180 ( subtract 54 from both sides )
18x = 126 ( divide both sides by 18 )
x = 7
What’s the answer pls
Answer:
The "n" side
The "n" side is opposite of angle N
Determine the total cost of each lawn service if the cost for each lawn is $42.00 for the first 5,000 square feet of lawn and $5.25 for each additional 1,000 square feet of lawn.
40 feet by 190 feet
Based on the cost to service the lawn, and the area of the lawn, the total cost of lawn service is $55.65
How to find the total cost of the lawn service?The first thing to do is to find the area of the lawn:
= Length of lawn x Width of lawn
= 40 x 190
= 7,600 square feet
The cost of each lawn is $42.00 of the first 5,000 square feet and then there will be $5.25 paid for each additional square feet.
The total cost of the lawn service is:
= 42.00 + ( 5.25 x (7,600 - 5,000) / 1,000)
= 42.00 + (5.25 x 2.6)
= $55.65
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4. Higher Order Thinking Dyani says
she can multiply 11 x 11 by finding
(10 x 10) + (1 x 1). What mistake did
Dyani make? Correct her mistake.
Answer:
Step-by-step explanation:
One number is 4 more than 2 times another. Their product is 30. Find the numbers. The numbers are ? and ? or ?and ? .
Let the first number be x and y be the second.
Then we habe:
I) x - 4 = 2y
II) x*y = 30
We can rewrite equation I as:
x = 2y + 4
Applying this result on equation II, we have:
(2y + 4)*y = 30
2y² + 4y = 30
2y² + 4y - 30 = 0
y² + 2y - 15 = 0
[tex]\begin{gathered} y_+=\frac{2+\sqrt[]{(2)^2-4\cdot1\cdot(-15)}}{2} \\ y_+=\frac{2+\sqrt[]{64}}{2} \\ y_+=\frac{10}{2} \\ y_+=5 \end{gathered}[/tex]The second root is negative and don't satisfy equations I and II, then we can discard it.
Replacing y with 5 in equation I, we have:
x - 4 = 2*5
x = 2*5 + 4
x = 14
Pick one no need for explanation just checking my work
Function B equation is
[tex]y=2x-5[/tex]The y-intercept is when x=0, in our case
Function A
[tex]y=\frac{1}{4}(0)+3=3[/tex]y-intercept =3
Function B
[tex]y=2x-5[/tex][tex]y=2(0)-5=-5[/tex]y-intercept=-5
As we can see
The y-intercept of Function A is greater than the y-intercept of Function B.
find the standard deviation of the data set that is obtained after subtracting three from each value 246, 387, 297, 276, 338, 281, 242
We have the following:
we calculate the new values
[tex]\begin{gathered} 246-3=243 \\ 387-3=384 \\ 297-3=294 \\ 276-3=273 \\ 338-3=335 \\ 281-3=278 \\ 242-3=239 \end{gathered}[/tex]now, we calculate the mean
[tex]\frac{243+384+294+273+335+278+239}{7}=292.3[/tex]the standard deviation of the data set is:
[tex]\begin{gathered} s=\sqrt[]{\frac{\Sigma(x_i)^2}{n}-\bar{x}^2} \\ s=\sqrt[]{\frac{243^2+384^2+294^2+273^2+335^2+278^2+239^2}{7}-292.3^2} \\ s=\sqrt[]{\frac{614100}{7}-85439.3} \\ s=47.9 \end{gathered}[/tex]The answer is the option C. 47.9
