The equivalent form of the compound inequality where the compound inequality is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4
How to determine the equivalent form of the compound inequality?The compound inequality is given as
-22 > -5x - 7 ≥ -3
Add 7 to all sides of the compound inequality
So, we have
7 -22 > -5x - 7 + 7 ≥ -3 + 7
Evaluate the sum in the above compound inequality
So, we have
-15 > -5x ≥ 4
Hence, the equivalent form of the compound inequality where the compound inequality is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4
Read more about compound inequality at
https://brainly.com/question/25275758
#SPJ1
find the distance between the two points in simplest radical form. (-2,1) and (-8,-7)
Answer:
10
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
I Use the quadratic equation to complete the following sentence
2 - 4x + 10 = 0
The quadratic equation has
Select One
Answer:
your answer is 7/2
How many solutions does the following system of equations have? 5x−2y=10 y=5/2x-5
Answer:
Infinite number of solutions
No unique solution
Step-by-step explanation:
5x - 2y = 10 (1)
y = 5/2x - 5 (2)
Multiply (2) by 2 to get
2y = 5x - 10
Rewrite the above equation as 5x - 2y = 10 (3)
Since both equations are the same, we are provided with a single equation in 2 variables there are infinite solutions
is 1/8 equivalent to 2/12
Answer:
No
Step-by-step explanation:
Check by changing to a common denominator
mr drew wants to build a square sandbox with an area of 100 square feet. What is the length of wood Mr.Drew needs to.make the sides of the sandbox
(13) Determine if the following equation has one solution, no solution, or infinite
solutions: 15y + 14 = 7(2y + 2).
Answer:
y = 0, one solution
Step-by-step explanation:
15y + 14 = 14 y + 14
-14y -14y
y + 14 = 14
-14 -14
y = 0
so one solution
The mean diameter of holes produced by a drilling machine is 4.05mm and the standard deviation of the diameter is 0.0028mm. for 20 holes drilled using this machine. determine , correct to the nearest whole number how many hare likely to have diameters of between
a) 4.048 and 4.0553
assuming they are normaly distributed
The hole having the diameters likely between 4.048 and 4.0553 is 17.
Maximum value of diameter = 4.05 + 0.0028 = 4.0528
Minimum value of diameter = 4.05 - 0.0028 = 4.0472
So, the diameters of the holes are in AP with common difference
= (2 × 0.0028) / 20 = 0.00028
So, the AP is:
4.0472, 4.04748, 4.04776, 4.04804, …, 0.0.0528
So, the first 3 terms are not included between 4.048 and 4.0553
Hence, the answer is 20 - 3 = 17
Therefore, the hole having the diameters likely between 4.048 and 4.0553 is 17.
"Learn more about diameter here-
https://brainly.com/question/23220731
#SPJ9
Which equation represents the graph of this function?
_
A ) f(x)= √ x −4
____
B) f(x)= √x + 4
____
C) f(x)= √x - 4
_
D) f(x)= √x + 4
Answer:
USE air math
Step-by-step explanation:
hope that helps
What is an equation of the line that passes through the point ( − 3 , − 1 ) (−3,−1) and is perpendicular to the line x − 2 y = 6 x−2y=6?
The equation of the line passing through given points (-3, -10) and perpendicular to other is y + 2x + 7 = 0.
When the equation of line in point-slope form?A line's equation in point slope form is (y - y₁) = m. (x – x₁). As a result, the equation of a line with slope m passing through the origin is: y - 0 = m(x = 0), i.e. y = mx.where m is the line's slope and (x₁, y₁) are the coordinates of a provided point on the line .The equation of the perpendicular line is given as;
x − 2y = 6
Write the equation in standard form;
y = x/2 - 3
Where, slope of the line m₁ is (1/2) and y -intercept is (-3).
The other line passing perpendicular on this line has a slope: m₂.
The relation between slopes of perpendicular lines are-
m₁ × m₂ = -1
m₂ = -1/m₁
m₂ = -1/(1/2)
m₂ = -2
Now, the coordinates of the line are: (-3, -1)
The equation of the line will be;
(y - y₁) = m₂ (x – x₁)
Put the values;
(y - (-1)) = -2(x - (-3))
y + 1 = -2x - 6
y + 2x + 7 = 0
Thus, the equation of line is y + 2x + 7 = 0.
To know more about the point slope form, here
https://brainly.com/question/6497976
#SPJ9
please help with this question the question is in the attached image
The coefficient matrix for the given system of equations is as follows:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The augmented matrix of a system is composed as follows:
The first column has the coefficients of x.The second column has the coefficients of y.The last column has the results, that is, the values of the other side of the equality.In standard notation, this system is given as follows:
2x - 6y = -1.-10x + 9y = 5.3x + 0y = 5.Hence the augmented matrix is given by:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
On a map the distance between two towns is 2.6 cm to scale of the map is 1 cm 50 km what is the actual distance between two
The answer to this question is:
The actual distance between the two towns = 130 km
Given that according to the map scale,
Distance between two towns = 2.6cm
Given that the scale of map =
1cm = 50km
So, we are asked to find the actual distance between them.
For finding the distance between two towns, we have to multiply the distance from the map by the scale of the map.
Distance between two towns * scale of the map
= 2.6 * 50 km
= 130 km
Therefore, actual distance between the two towns = 130 km
Learn more about Map Distance here: https://brainly.com/question/24693076
#SPJ9
a boy weighs 90 pounds on earth but 34.5 pounds on mars how much does a 600 pound man weigh on mars
Answer:
230lb
Step-by-step explanation:
The Boy weighs 90 lb on earth and 34.5 on the Moon.
90/34.5= 2.608695652
The boys weight on earth divided by his weight on the moon is equal to the difference in weight
So for a 600 lb guy
600/2.608695652 = 230
The guys Earth weight divided by the difference in weight is equal to his moon weight.
New Jersey transit claims that it’s 8:00 AM train from Princeton to New York has probability 0.9 of arriving on time. I assume for now that this claim is true. Explain what probability 0.9 means in the setting
It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.
It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.
To learn more about probability , refer to https://brainly.com/question/24756209
#SPJ9
A quadratic function has A) straight lines that do both increase, decrease or stay constant on the same graph. B) curved lines that only increase or decrease. C) curved lines that do both increase and decrease on the same graph. D) straight lines that only increase or decrease. E) straight lines that do both increase and decrease on the same graph
HELP ME AGINS SNDJJEJEJE
Answer: 0
Step-by-step explanation:
-2+-1 = -3
-3+0 = -3
-3+1 = -2
-2+2 = 0
Would like help with this?
The largest interval in which the function is continuous is given by:
(-∞, -3).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.
In this problem, the zeroes of the denominator of the function are:
x = -3, x = 4.
Hence the continuity intervals are:
(-∞, -3).(3,4).(4,∞).The largest one is the first, as |-3| < |4|, meaning that it is a larger distance from infinity.
More can be learned about the continuity of a function at https://brainly.com/question/24637240
#SPJ1
Solve for f can somebody help
Answer: f < 9
Step-by-step explanation:
first, cross multiply 2 and 2:
f - 5 < 4
f < 9
Answer:
f < 9
Step-by-step explanation:
=> (f-5)/2 < 2
multiplying both sides by 2
=> 2(f-5)/2 < 2×2
=> f-5 < 4
adding 5 to both sides
=> f-5+5 < 4+5
=> f < 9
|1/4 x +2| -3 =5 solve for x and graph on number line
The value of x on the number line is 24 and - 40
A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.
The given equation is
[tex]|\frac{1}{4}x+2 | -3=5[/tex]
Solving the equation:
[tex]or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32[/tex]
Now we take the two separate values of x:
either x=-8+32 or x=-8-32
or,x=24 or x=-40
The value of x is 24 and - 40.
To learn more about number line:
https://brainly.com/question/24644930
#SPJ9
Simplify the expression.
(4 × 6)y=
Answer:
24y^2
Step-by-step explanation:
4y x 6y =
24y ^2
24y to the second power
*Please help*
Xavier bought a new boat for $24,000 in the year 2009. He knows that the value of the boat has depreciated linearly. If the value of the boat in 2010 was $18,500, what was the annual rate of change of the boat's value? Round your answer to the nearest hundredth if necessary.
Answer:
5500 is correct Answer.
Please mark me as brainlist answer.
Write a subtraction expression using integers that equals -6
Find the sum of 3√2 and 2√8 in simplest form. Also, determine whether the result
is rational or irrational and explain your answer.
Answer:
7√2
7√2 is irrational since √2 is irrational
Step-by-step explanation:
3√2 + 2√8 = 3√2 + 2 × 2√2 = 3√2 + 4√2 = 7√2
7√2 is irrational since √2 is irrational
Fill the table below using the function f(x) = -2x^2 +5x-3
x | f(x)
-1.4 |
-0.7 |
0 |
0.7 |
1.4 |
+ Explain?
The complete table of values is
x | f(x)
-1.4 | -13.92
-0.7 | -7.48
0 | -3
0.7 | -0.48
1.4 | 0.08
How to fill the table using the function?The function is given as:
f(x) = -2x^2 +5x - 3
Next, we calculate the values of the functions at the given x values
So, we have:
f(-1.4) = -2(-1.4)^2 + 5(-1.4) - 3 = -13.92
f(-0.7) = -2(-0.7)^2 + 5(-0.7) - 3 = -7.48
f(0) = -2(0)^2 + 5(0) - 3 = -3
f(0.7) = -2(0.7)^2 + 5(0.7) - 3 = -0.48
f(1.4) = -2(1.4)^2 + 5(1.4) - 3 = 0.08
Hence, the complete table of values is
x | f(x)
-1.4 | -13.92
-0.7 | -7.48
0 | -3
0.7 | -0.48
1.4 | 0.08
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18
By evaluating the given linear relation, we conclude that the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
How to determine the values of the missing entries?Here we have the linear relation:
9x - 6y = 18
And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.
For example, the first pair has y = 0.
Evaluating that we get:
9x - 6*0 = 18
9x = 18
x = 18/9 = 2
Then we have the pair (2, 0).
The second has x = 0, replacing that we get:
9*0 - 6*y = 18
y = 18/-6 = -3
So we have the pair (0, -3)
The third has x = 1, replacing that:
9*1 - 6y = 18
-6y = 18 - 9 = 9
y = 9/-6 = -3/2
So we have the pair (1, -3/2)
The last value on the table is y = 4, replacing that:
9x - 6*4 = 18
9x - 24 = 18
9x = 18 + 24 = 42
x = 42/9 = 14/3
Then the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
If you want to learn more about linear relations:
https://brainly.com/question/1884491
#SPJ1
Please help also I know the answers there are wrong
If possible explain how you got the answers
The values of all the required angles are; m∠5 = 42°; m∠8 = 138°; m∠10 = 138° and m∠11 = 42°
How to Identify corresponding angles?
Corresponding angles are formed where a line known as an intersecting transversal, crosses through a pair of straight lines.
Now, we are given that; m∠1 = 42°
By corresponding angles, we can say that;
m∠1 = m∠5
Thus; m∠5 = 42°
Now, we know that sum of angles on a straight line is equal to 180° i.e. they are supplementary angles.
Now, from the diagram, we can see that m∠5 and m∠8 are supplementary angles and as such;
m∠5 + m∠8 = 180°
42 + m∠8 = 180
m∠8 = 180° - 42°
m∠8 = 138°
Now, m∠9 is a corresponding angle to both m∠1 and m∠5. Thus, we can say that; m∠9 = 42°. However, m∠9 is supplementary to m∠10. Thus;
m∠10 = 180 - 42
m∠10 = 138°
Lastly, m∠10 and m∠11 are supplementary angles and as such;
m∠10 + m∠11 = 180°
138 + m∠11 = 180
m∠11 = 180° - 38°
m∠11 = 42°
Read more about Corresponding Angles at; https://brainly.com/question/2009183
#SPJ1
A patient is limited to 2000 milliliters (mL) of liquid intake per day. If the patient has 300 mL of juice for breakfast and 500 mL of milk for lunch, how much liquid can the patient have for the rest of the day?
Answer: 300mL + 500mL = 800 mL
2000 mL - 800 mL = 1200mL
The patient can have 1200 milliliters of liquid for the rest of the day.
4x^2-7; x= -2
4x^2-7x =
Step-by-step explanation:
f(x) = 4x² - 7 , x = -2
= 4x² - 7
= 4.(-2)² - 7
= 4.4 - 7
= 16 - 7
= 9
HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What percentage of the original price was the discount?
Answer: 80%. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the percentage, divide the sale cost by the original cost:
27.60/34.50
Let's multiply both sides by 10 to make the operation easier:
27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->
276/345, now solve:
276/345 = 0.8
0.8 = 80%
The percentage is 80%.
Please solve this! I need it asap!
The differentiation of the given function is expressed as; 2x - √3(y) = 0
How to carry out Differentiation?
We want to differentiate the function;
x² - √3(xy) + 2y² = 12
To differentiate this means to express as;
x²(dy/dx) - √3(xy)(dy/dx) + 2y²(dy/dx) = 12(dy/dx)
This gives us;
2x - √3(y) + 0 = 0
2x - √3(y) = 0
Thus, the differentiation of the given function is expressed as;
2x - √3(y) = 0
Read more about Differentiation at; https://brainly.com/question/12791414
#SPJ1
604,542+87,106 estimated
Answer:
the answer is to the question is 691648