Answer:
x > -2
Step-by-step explanation:
3x - 10 < 4x - 8
Collect like terms
3x - 4x < 10 - 8
-1x < 2
Divide both sides by -1
-1x/-1 < 2/-1
x > -2
Bookwork code: K45 not allowed
The number line below shows information about a variable, p.
Select all of the following values that p could take:
-4, 0, -6, 5, -1, -2.5
T
T
р
-5 -4 -3 -2 -1 0 1 2 3 4 5
✓ Scroll down
A number line is a simple graph with numerical increments spaced evenly. The numbers on the line determine how the number on the line can be answered. The number's application is determined by the question to which it corresponds, such as when plotting a point.
What is meant by number line?A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will determine how to answer the number on the line. The number's use is determined by the question that goes with it, such as plotting a point.
The number line is a straight line with divisions at equal intervals, similar to a scale. You can choose any point as "0," and all positive numbers will be to the right of the "0," and all negative numbers will be to the left of the "0." Q.
Therefore,
The third number line correctly provides the solution to the statement -5 + (-4).Plot 1's solution is (-5) + (-2) because both arrows point 4 units to the left.Plot 2's solution is (5 + 2) because both arrows point 4 units to the right.Plot 3's solution is (5) + (2) because one arrow points 4 units to the left and the other points 4 units to the right.The plot 4 solution is (5 + 2) because one arrow points 4 units to the left and the other points 8 units to the right.As a result, the third number line is the one that shows the solution 5 + (-4).To learn more about number line refer
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Please Help
Find(f+g)(x)if f(x)-/16x4 and g(x)=3x2-3x-5
The function operation (f + g)(x) of the functions f(x) = √( 16x⁴ ) and g(x) = 3x² - 3x - 5 is -5x² + 5x - 7.
What is the function operation (f + g)(x) of the given functions?A function is simply a relationship that maps one input to one output.
Given the functions in the question;
f(x) = √( 16x⁴ )g(x) = 3x² - 3x - 5To determine the function operation (f + g)(x), replace the function designators with the functions and simplify.
(f + g)(x) = f(x) + g(x)
(f + g)(x) = √( 16x⁴ ) + ( 3x² - 3x - 5 )
Replace √( 16x⁴ ) with 4x²
(f + g)(x) = 4x² + 3x² - 3x - 5
Collect and add like terms
(f + g)(x) = 7x² - 3x - 5
Therefore, the function operation (f + g)(x) is 7x² - 3x - 5.
Option A is the correct answer.
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A man is paid N12,000 for 4 days. Find his pay for: (i) 2 days
Answer:
N6000
Step-by-step explanation:
4 days 12000
2 days. ?
12000*(2/4) = 6000
AB=18cm
BC=18cm
AC=16cm
What is the corresponding angles and sides?
The angle measurements are 5.38°, 87.31° and 87.31°.
What is triangle?
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are the sides of triangle as AB = 18cm, BC = 18cm, AC = 16cm.
The given triangle is a isosceles triangle with two sides equivalent. Angles opposite to these sides will be equal. So, we can write -
2∠x + ∠y = 180°
from the figure, it can be seen that angle B is 5.38 degrees.
2∠x + 5.38 = 180
2∠x = 174.62
∠x = 87.31°
Therefore, the angle measurements are 5.38°, 87.31° and 87.31°.
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The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which of the following is the five-number summary for this data?
The five number summary from the given box plot is presented as follows:
Minimum value: 41.First quartile: 43.Median: 49.5.Third quartile: 56.Maximum value: 58.What does a box-and-whisker plot shows?A box and whisker plot shows five things of a distribution, listed as follows:
The minimum value of the data-set.The first quartile, which is the median of the bottom 50% of measures in the data-set, hence it is the value that 75% of the measures are greater than.The median, which is the middle-value of the data-set, meaning that 50% of the data-set is less than the median and 50% is greater.The thid quartile, which is the median of the upper 50% of the measures in the data-set, hence it is the value that 75% of the measures are lesser than.The maximum value of the data-set.These values are the values marked from left to right on the box plot, from the minimum value to the maximum value, passing through the first quartile, the median and the third quartile, and form the five number summary.
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Paul inherited a stamp collection. Since receiving the
collection, Paul has gone to the store and bought the
same number of new stamps each week to add to his
collection. The equation shown below can be used to
determine the number of stamps (y) in Paul's stamp
collection x weeks after he inherited the stamps.
y = 3x + 40
Based on the equation, which statement is true?
A) The stamp collection had 3 stamps in it when Paul inherited it.
B) So far, Paul has purchased 40 additional stamps for the collection.
C) Since inheriting the collection, Paul has bought 3 new stamps each week.
D) Six weeks after he inherited the collection, Paul's stamp collection contains 18 stamps
Based on the equation y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps, the correct statement is since inheriting the collection, Paul has bought 3 new stamps each week.
According to the question,
We have the following information:
y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps
Now, when we observe this equation carefully, we notice that 3x is added to 40. So, it means that 40 is constant. Then, the number of stamps increasing per week is in the multiplication of 3. Or, in other words, 3 new stamps are bought each week.
For 1st week:
y = 3*1+40
y = 43
For 2nd week:
y = 3*2+40
y = 6+40
y =46
Hence, the correct option is C.
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Help please willing to give brainliest badge an points
Finding a missing side length given two similar triangles
find the percentage increase if a number 3/8 increase to 3/4
Answer:
37,
Step-by-step explanation:
Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.83 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation.
The value of given ratio is 34.45 peso/kg as the given ratio are : 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.
Given ratio,
1 peso/0.053 dollar
0.053 dollar/1 peso
1 kg/2.2 lbs
2.2 lbs/1 kg
0.83 dollar/1lbs * 2.2 lbs/1 kg* 1 peso/ 0.053 dollar = 34.45 peso/kg
The value of the given ratio is 34.45 pesos per kilogram because the ratios are 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.
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Find all real numbers x such that
(3^x - 27)^3 + (27x - 3)^3 = (3x + 27x - 30)^3
All the real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) is x = 1 .
In the question ,
it is given that the expression is
(3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)
By using the identity a³ + b³ [tex]=[/tex] (a + b)(a² - ab + b² )
we get ,
[(3x - 27 + 27x - 3)] × [(3x - 27)² - (3x - 27)(27x - 3) + (27x - 3)² ] = 30x - 30
(30x - 30)×[(3(x - 9))² - (3(x - 9) × 3(9x - 1)) + (3(9x - 1))²] = 30x -30
using the identity (a-b)² [tex]=[/tex] a² -ab + b²
(30x - 30) × [9( x² - 18x + 81) - (9(9x² - 82x + 9)) + (9(81x² - 18x + 1)) = 30x-30
9(30x - 30)×[x² - 18x + 81 - 9x² + 82x - 9 + 81x² - 18x + 1] = 30x - 30
270×(x - 1)×[ 73x² + 46x + 73] = 30(x - 1)
taking (x-1) terms to LHS ,
we get
(270 - 30)×(x - 1)[ 73x² + 46x + 73 ] = 0
(240) (x - 1) [ 73x² + 46x + 73 ] = 0 ....because 270-30 = 240
Dividing both sides by 240
we get ,
(x - 1) [73x² + 46x + 73] = 0
So , either x - 1 = 0 or 73x² + 46x + 73 = 0
on solving 73x² + 46x + 73 = 0
we get the discriminant of 73x² + 46x + 73 a negative number , so it cannot have real root .
hence x -1 = 0
x = 1
Therefore , the only real solution is x = 1 .
The given question is incomplete , the complete question is
Find all real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) ?
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16/5 x 25/8 multiply each of the following fractions
What is the answer?? 3(b-5)<-2b
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
If a lumber yard sells plywood at $1,240/M, what is the price per square foot?
The price of the lumber per square foot is $115.
What is a unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that the cost of the lumber yard plywood per square meter is $1240.
The cost of the lumber plywood per square foot is calculated as,
Cost = $1240 per square meter
The square meter is equal to 1 m = 3.28 ft. The cost will be calculated as,
Cost = $1240 / m²
Cost = $1240 / (3.28)² ft²
Cost = $115 per square feet
Therefore, the price of the lumber per square foot is $115.
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kieran tried to shade all the multiples of 3 on the hundred chart, but he made a mistake. what mistake did kieran make?
Answer:
Kieran shaded the multiples of 9 instead of the multiples of 3
Step-by-step explanation:
Solve 7x+23x-5=6(5x+8). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. x=
OB. The equation has infinitely many solutions.
OC. The equation has no solution.
Replace the _ with the symbol that makes a true sentence 2/15_0.83
Answer:
See below
Step-by-step explanation:
2 /1 5 = .1333
so 2/15 < .83
The letter A B C D
represents the location of –1.5 on the number line.
Answer:
B
Step-by-step explanation:
4. Which statement about the lines below is true?
7x=-21 and 11y = 55
Select all that apply.
A. Line 11y = 55 is vertical.
B. Line 7x=-21 is vertical.
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all of the points is always the same value.
The statements about lines that is true are
A. Line 11y = 55 is vertical.
C. For both lines, all points on the line have an x and a y-coordinate.
D. For either line, one of the coordinates of all of the points is always the same value.
Lines given to us are
1. 7x = -21
x = -3
2. 11y = 55
y = 5
Now let us check the statements.
A. Line 11y = 55 is vertical.
Yes, it is absolutely true as y = 5 will be a straight vertical line from origin of the graph (0 , 0) to (0 , 5)
B. Line 7x= -21 is vertical.
No, this statement is not true as this will be a horizontal line from (0 , 0) to (-3 , 0)
C. For both lines, all points on the line have an x- and a y-coordinate.
Yes, for both the lines there will be both x and y coordinate as every point on graph has x and y coordinates to represent them.
D. For either line, one of the coordinates of all of the points is always the same value.
Yes, this statement is true as for first line x coordinate is a constant value of 0 and for second line y is a constant value of 0.
Therefore the statements about lines that is true are A, C and D.
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What is the asymptote of the exponential function graph below?
y=1
y=5
y=2
y=0
Answer: y=5 is the asymptote answer
This is a statistics/applications question
Using percentages, the answer to all the subparts are shown:
(A) % who scored between 46 and 106: 67% approx(B) % who scored less than 46: 17% approx(C) % who scored between 61 and 91: 33% approx(D) % who scored between 76 and 121: 50%What are percentages?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.So, calculate the percentages as follows:
(A) % who scored between 46 and 106:
Total marks: 121 - 30 = 90Students between 46 and 106: 106 - 46 = 60Then,
60/90 × 1002/3 × 10066.66Rounding off: 67% approx
(B) % who scored less than 46:
Total marks: 121 - 30 = 90Students who scored less than 46: 46 - 31 = 15Then,
15/90 × 10016.66Rounding off: 17% approx
(C) % who scored between 61 and 91:
Total marks: 121 - 30 = 90Students between 61 and 91: 91 - 61 = 30Then,
30/90 × 1001/3 × 10066.6633.33Rounding off: 33% approx
(D) % who scored between 76 and 121:
Total marks: 121 - 30 = 90Students between 76 and 121: 121 - 76 = 45Then,
45/90 × 10050%
Therefore, using percentages, the answer to all the subparts are shown:
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What is the reason for each step in the solution of the inequality?
−2(x+3)−4>4x+30
Select the reason for each step from the drop-down menus.
The missing reasons used in solving the given inequality are;
Reason 2; Subtraction property
Reason 3; Subtraction property of order
Reason 5; Division property of order.
How to solve Inequality problems?
There are different properties of algebra such as distributive property, commutative property, associative property, addition property, division property e.t.c
We are given the inequality as;
−2(x + 3) − 4 > 4x + 30
Step 1;
-2x - 6 - 4 > 4x + 30
Reason 1; Distributive property
Step 2; -2x - 10 > 4x + 30
Reason 2; Subtraction property
Step 3; -6x - 10 > 30
Reason 3; Subtraction property of order
Step 4; 6x > 40
Reason 4; Addition property of order
Step 5; x < -20/3
Reason 5; Division property of order.
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I have no equal sides what am i
Answer:
Scalene
Step-by-step explanation:
a scalene triangle has three sides different angles none of its sides are equal in length
Answer:
A scalene triangle or quadrilateral has no equal sides.
Put these numbers in order from smallest to largest.
Smallest
-75
-28
-3
13
103
341
619
Largest
Answer:
Step-by-step explanation:
Here by using the ascending property:
-75, -28, -3, 13, 103, 341, 619
Math Q 3
A construction crew built 8 1/2 miles of road in 2 1/4 days.
Step-by-step explanation:
1/2 miles in 1/4 day (Given)
Find the distance of the road built in 1 day:
1/4 day = 1/2 miles
4/4 days 1/2 x 4 = 2 miles =
Answer: The rate is 2 miles per day.
Given the coordinate, perform the following transformation and give the new coordinates.
12. Reflect (2, 3) over the x axis: (
13. Reflect (7, -2) over the y axis: (
14. Rotate (4, 5) 90° about the origin: (
15. Rotate (-3, -2) 270° about the origin:
16. Reflect (17, -23) over the line y=x.
12) (2, 3) over the x - axis becomes, (2, -3).
13) (7, -2) over the y - axis becomes, (-7, -2).
14) (4, 5) 90° about the origin becomes, (-5, 4).
15) (-3, -2) 270° about the origin becomes, (-2, 3).
16) (17, -23) over the line y = x becomes, (-23, 17).
What is transformation of points?
The reflection is the type of alteration that takes place when each point in the shape is reflected over a line. The picture is on the opposite side of the line from the pre-image when the points are reflected across a line, but it is still at the same distance from the line as the pre-image. The reflection of each point (p, q) onto an image point (q, p).
12) Reflect (2, 3) over the x axis:
Since, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse.
The x-axis' reflection of point (x, y) is (x, -y).
So, (2, 3) becomes, (2, -3).
13) Reflect (7, -2) over the y axis:
Since, the y-coordinate of a point that is reflected across the y-axis stays constant, but the x-coordinate is assumed to be the additive inverse.
So, (7, -2) becomes, (-7, -2).
14) Rotate (4, 5) 90° about the origin:
(x, y) → (-y, x) is the formula for a 90° rotation about the origin.
So, (4, 5) becomes, (-5, 4).
15) Rotate (-3, -2) 270° about the origin:
(x, y) → (y, -x) is the formula for a 270° rotation of the origin.
So, (-3, -2) becomes, (-2, 3).
16) Reflect (17, -23) over the line y=x.
The angle at which the point (x, y) is reflected across the line y = x is (y, x).
So, (17, -23) becomes, (-23, 17).
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5x10^-10/3x10^-9
1x10^-9/3.5x10^-9
Answer:
1.667×10^-12.857×10^-1Step-by-step explanation:
You want the result of a division operation performed on numbers written in scientific notation.
In each case, the result number will have a repeating decimal fraction. We show 4 significant figures in the answer. The number of significant figures you need to use will depend on what you're using the answer for. If you are required to match the precision of the numbers here, you will want to use 1 significant figure.
The rules of exponents apply, so the exponent of the result will be the difference of the exponents of numerator and denominator. As always, if the numerator mantissa is smaller than the denominator mantissa, the result will be a fraction, so adjustment of the exponent will be necessary.
5×10^-10/(3×10^-9)= (5/3)×10^(-10-(-9)) = 1.667×10^-1
1×10^-9/3.5×10^-9= (1/3.5)×10^(-9-(-9)) = 0.2857×10^0 = 2.857×10^-1
__
Additional comment
Any scientific or graphing calculator and any spreadsheet can accept input in scientific notation and format the output in the same way.
You need to be careful with the way you enter the multiplier. Most calculating platforms accept the E notation shown in the attachment. If you use multiplication (×10^-9, for example), then the denominator number will need to be enclosed in parentheses. The third line of the second attachment shows the result of not using parentheses: the multiplier intended for the denominator instead multiplies the result of the division. (This behavior is required by the Order of Operations.)
Can someone help me with this
Answer:
x=20
Step-by-step explanation:
It looks like the opposite end of the 70 is angle between I and D. So assuming that angle is also 70 I would subtract 90 and 70 which equals 20. X=20
I need help with this geometry question
The value of x will be 9.8 m.
The value of y will be 11.2 m.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The two triangles are similar.
Now,
Since, The two triangles are similar.
So, We get the sides are proportional to each other.
Hence, We can formulate;
⇒ 4/5.6 = 7/x
Solve for x as;
⇒ x = 7 × 5.6 / 4
⇒ x = 9.8 m
And, 4/5.6 = 8/y
Solve for y;
⇒ y = 8 × 5.6 / 4
⇒ y = 11.2 m
Thus, The value of x will be 9.8 m.
The value of y will be 11.2 m.
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If a=-1+2i and b=5, then find the value of the a^2b in fully simplified form.
The value of the algebraic expression is:
a^2*b = -15 + 20i
How to find the value of the expression?
Here we have the following expression:
a^2*b
And we want to use the values:
a = -1 + 2i
b = 5
Replacing these values in the expression we will get:
(-1 + 2i)^2*5
Expanding the first part we get:
(-1 + 2i)*(-1 + 2i) = (-1)*(-1) + (-1)*(2i) + (2i)*(-1) + (2i)*(2i)
= 1 - 2i - 2i - 4
= -3 + 4i
Replacing that in the expression we get:
(-1 + 2i)^2*5 = (-3 + 4i)*5 = -3*5 + 4i*5 = -15 + 20i
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