So first of all let's rewrite the inequalities. The first one is:
\(1.5x-1>6.5\)We can add 1 at both sides of it:
\(\begin{gathered} 1.5x-1+1>6.5+1 \\ 1.5x>7.5 \end{gathered}\)And we can divide both sides by 1.5:
\(\begin{gathered} \frac{1.5x}{1.5}>\frac{7.5}{1.5} \\ x>5 \end{gathered}\)So this inequality can be written as x>5. The second one is:
\(7x+3<-25\)We substract 3 from both sides:
\(\begin{gathered} 7x+3-3<-25-3 \\ 7x<-28 \end{gathered}\)And we divide both sides by 7:
\(\begin{gathered} \frac{7x}{7}<-\frac{28}{7} \\ x<-4 \end{gathered}\)So the inequalities are x>5 and x<-4. This means that the parts of the number line that must be colored are those at the right of 5 (according to the first inequality) and at the left of -4 (according to the second). Since the inequalities use the siymbols "smaller than" and "greater than" with no equals there must be blank dots at -4 and 5. The option that meets all these conditions is the second which is the answer.
√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
4(x-2+y)=
?????????????
\(\text{Solve:}\\\\4(x-2+y)\\\\\text{Use the distributive property:}\\\\4x-8+4y\\\\\text{Since you can't simplify it any further, that'll be your answer}\\\\\boxed{4x-8+4y}\)
Answer:
4x-8+4y
Explanation:
///
A bag of M&Ms had 4 red, 5 orange, 3 yellow, 2 green, 7 blue, and 3 brown candies.
What is the probability of drawing and eating red candy and then drawing and eating an orange candy?
Answer:
4/20 red 5/20 orange
Step-by-step explanation:
see how many their are then add up all the candies then boom theres your answer
Convert 18% to a fraction in lowest term
Answer:
\(\frac{9}{50}\)
Step-by-step explanation:
This is the answer because:
1) 185 equals to \(\frac{18}{100}\) because 18% is equal to 0.18 which is \(\frac{18}{100}\)
2) \(\frac{18}{100}\) to it's lowest terms is \(\frac{9}{50}\)
3) It's lowest terms is \(\frac{9}{50}\) because 18/2 is 9 and 100/2 is 50
4) \(\frac{9}{50}\) can't be simplified any further because 9 and 50 don't have any common factors
Hope this helps! :D
Tickets to the county fair cost $12 for each adult and$7 for each child write and evaluate an expression to find the cost for 3 adults and 6 children
do you know the answer?
The expression for the inequality equation is -2 ≤ x ≤ 2
Given data ,
Let the number line be represented as A
Now , the value of A is
The number -2 and 2 are marked as colored bubbles in the line
So , the inequality states that the marked bubbles is also the solution to the relation and these numbers will be included
And , the inequality relation is given by -2 ≤ x ≤ 2
Hence , the inequality is -2 ≤ x ≤ 2
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
How far apart are (-4,-6) and (-4, 13)?
Pls hurry and explain
Answer:
√19
Step-by-step explanation:
√(13-(-6))+(-4-(-4))
√(19+0
√19
9. Solve the equation.
x + 4 = 3(3x - 4)
A9
4
B 1
C 2
D7
4
Answer:
X=2
Step-by-step explanation:
16=8x
Answer:
\(x = 2\)
Step-by-step explanation:
\(x + 4 = 3(3x - 4) \\ x + 4 = 9x - 12 \\ 4 + 12 = 9x - x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2\)
Look at the figure:
An image of a right triangle is shown with an angle labeled x.
If tan x° = a divided by 4 and cos x° = 4 divided by b what is the value of sin x°?
sin x° = 4b
sin x° = b divided by a
sin x° = 4a
sin x° = a divided by b
By using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
What are trigonometric functions?Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
Given
\(\sin \text{x}^\circ= \ ?\)
\(\tan \text{x}^\circ=\dfrac{\text{a}}{4}\)
\(\cos \text{x}^\circ=\dfrac{4}{\text{b}}\)
Formula to find \(\sin \text{x}^\circ\)
\(\sin \text{x}^\circ=\dfrac{\text{Opposite}}{\text{Hypotenuse}}\)
\(\rightarrow\sin \text{x}^\circ=\bold{\dfrac{a}{b}}\)
Therefore, by using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
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Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Add the expression (1/5t+1/3s)and (-3+1/5s+1/2t)
Answer:
84t+64s-360
Step-by-step explanation:
Multiply through by a common factor
120×(1/5t+1/3s) + 120(-3+1/5s+1/2t)
(24t+40s) + (-360+24s+60t)
Group like terms
24t+60t+40s+24s-360
84t+64s-360
P is located at (8,-7) and Q is located at (-6,-3) on the coordinate plane
What coordinate represents the midpoint of segment PQ
Answer:
Step-by-step explanation:
1,-5
This is the question I need an answer to
The correct option is (D) The subject would not receive treatment and could spread the disease.
The probability is 0.04
and, The unfavorable consequence of error is "The subject would not receive treatment and could spread the disease."
What is Probability ?In mathematics, probability defines the occurrence of something. Or we can say that it defines the chance of something to be happen or occur.
Probability is the mathematical branch that studies and deal with the possible outcomes of some given events together or some set of event with the outcomes of distributions.
The minimum value of probability is 0 while the maximum value is 1 .
How to calculate probability?Suppose if there are some favorable outcomes whose probability we have to find out then the formula is :
\(prob ( fav \ outcome) = \frac{number \ of \ favorable \ outcome}{total \ number \ of \ outcomes}\)
In the given question :
total outcomes = 333 + 14 = 347
favorable outcome = 14
thus, probability = 14 / 347 = 0.04
and unfavorable consequence of error is "The subject would not receive treatment and could spread the disease."
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A student made two patterns to show multiplication of a decimal by powers of ten. the equations shown for both patterns are incorrect. pattern A
3.675. 10 =3.7650
3.675. 100= 3.67500
3.675.1,000= 3.675000
pattern B
3.675. 10=3.0675
3.675.0.01= 3.00675
3.675. 0.001= 3.000675
explain why the equations in each of the patterns are false. Include in your explanation the values that should appear on the right side of each equation in both patterns to make the equations true.
If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
How to find the correct value?Pattern A
3.675×10 =3.7650 Incorrect
3.675×10 = 36.75 Correct
3.675× 100= 3.67500 Incorrect
3.675×100= 367.5 Correct
3.675×1,000= 3.675000 Incorrect
3.675×1,000 = 3,675 Correct
Pattern B
3.675×10=3.0675 Incorrect
3.675× 10= 36.75 Correct
3.675×0.01= 3.00675 Incorrect
3.675×0.01= 0.03675 Correct
3.675×0.001= 3.000675 Incorrect
3.675×0.001= 0.003675 Correct
The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
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help pls
What is the average rate of change of the function on the interval from x = 3 to x = 5?
f(x)=10(2)x
Answer: 1560
Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].
To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.
The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.
The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.
Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint. The average cost of all the berries he bought was 15+3x/3+x dollars per pint. If the equation y= 15+3x/3+x is graphed in the xy-plane,what quantity will be represented by the y-intercepy of the graph?
start by finding the y intercept, x=0
\(\begin{gathered} y=\frac{15+3x}{3+x} \\ y=\frac{15}{3}=5 \end{gathered}\)meaning that the y-intercept is equal to $5
since the function represents the average cost and x=0 means that the y intercept represents the average cost per pint of all the raspberries he bought.
Compute the mean deviation of the following set of data; 9,6, 3, 9, 7, 2, 1, 5, 6, 8.
Answer:
5.6
Step-by-step explanation:
( 9 + 6 + 3 + 9 + 7 + 2 + 1 + 5 + 6 + 8 ) / 10
= 56 / 10
= 5.6
Find the value of x 6x+2-2x=3x+14-x
Step-by-step explanation:
x will equal 6
hope this helps bro if u need the explanation I'll explain to u if needed
6x + 2 - 2x = 3x + 14 - x
6x - 2x + 2 = 3x - x + 14
4x + 2 = 2x + 14
4x - 2x = 14 - 2
2x = 12
x = 12/2
x = 6
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
In Mrs accardo's English as a second language class the ratio of men to women is 3:5. There are 24 students in her class how many them are women
Answer:
Step-by-step explanation:
you add 3 +5 = 8 then divide by 24 = 8 then you do 3 x 5 = 15 women in the class
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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By visual inspection, determine the best-fitting regression model for the dataplot below.A. No patternB. Linear increasingC. ExponentialD. Linear decreasing
To recognize by simple inspection the best-fit plot we must know the main types of regression graphs.
The linear increasing fit looks like:
The linear decreasing has a shape as shown below:
The exponential decreasing graph is:
The model data shown in the question is C. Exponential
The diagram shows the graphs of y=x²-3x - 2 and
y = x + 3.
Use the diagram to solve the equation x² – 3x − 2 = x + 3
=
graphically.
Y
11+
10
9
8-
7-
6543
6-
5-
4-
2-
1
-8-7-6-5-4-3-2-1, 1-2-3/4-5_6_7_8
23456
-2-
-3-
-4-
-5-
-6-
-7-
-8-
-9-
--10-
-11+
x
The solution of the expression is,
⇒ x = - 1 and x = 5
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Solve the expression,
x² – 3x − 2 = x + 3
Now, We can simplify as;
x² – 3x − 2 = x + 3
x² – 3x − 2 - x - 3 = 0
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x (x - 5) + 1(x - 5) = 0
(x + 1) (x - 5) = 0
x = - 1
x = 5
Thus, The solution of the expression is,
⇒ x = - 1 and x = 5
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I NEED HELP ASAP pleaseeeeeeeeeeeeeee!!!!!!!!!!!!
Answer:
7.5g
Step-by-step explanation:
15%×50=7.5g
i hope it helps
The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root? Use a graphing calculator and a system of equations. –9 –1 0 1
9514 1404 393
Answer:
(b) -1
Step-by-step explanation:
The graph shows the difference between the two expressions is zero at x=-1.
__
Additional comment
For finding solutions to polynomial equations, I like to put them in the form f(x)=0. Most graphing calculators find zeros (x-intercepts) easily. Sometimes they don't do so well with points where curves intersect. Also, the function f(x) is easily iterated by most graphing calculators in those situations where the root is irrational or needs to be found to best possible accuracy.
Answer:
The answer is b: -1
Step-by-step explanation:
good luck!
Please need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!! 30 points, NO spamming.
You're supposed to decide if the information that's marked in addition to another information you can determine from the picture is enough to prove the triangles congruent with the pattern listed in the problem. If yes, just write yes. If not, state the additional information that would need to be marked to make them congruent using the given pattern. (By pattern I mean, SSS or ASA or SAS etc. listed in the problem)
The picture is enough to prove the triangles congruent with the pattern
What is congruent triangles?Congruency simply means equivalent. So two triangles are equivalent in the following conditions
Side side side(SSS)side Angle side(SAS)Side angle angle(SAA)Angle angle angle(AAA)The two triangles are ΔIJH and ΔKHJ
ΔIJH has two given sides with an included angle
Also, ΔKHJ has two given sides with an included angles
This is to say that the two triangles have SAS each
In conclusion, the two triangles are congruent
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Kayla wants to coach basketball. The Lady Falcons will pay her a monthly salary of
$2250 plus a bonus of $75 for every game they win. Their rival, the Lady Hornets
offered her a greater monthly salary of $2750 but only gives a bonus of $25 for every
game they win. Write a system of linear equations to determine how many games they
would have to win in order to receive the same pay from either team.
Write the system. You do not need to solve.
Answer:
\($ \left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right. $\)
If Kayla's team wins 10 games on each team, she would be paid the same amount.
Step-by-step explanation:
Hello!
Let the amount of money earned be y, and the number of games they win be x.
For the Lady Falcons, the equation would be y = 2250 + 75x.
For the Lady Hornets, the equation would be y = 2750 + 25x.
The system would be \(\left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right.\).
_______________________________________________________
The question says not to solve, but we are going to solve it anyway for practice.
Solve the Systemy = 2250 + 75xIf Kayla's team wins 10 games on each team, she would be paid the same amount.