The solution of equation for x is,
⇒ x = 4
We have to given that;
The equation is,
⇒√ (3x + 4) = 4
Now, We can simplify as;
⇒ √3x + 4 = 4
Take square both side,
⇒ 3x + 4 = 4²
⇒ 3x + 4 = 16
Subtract 4 both side,
⇒ 3x = 16 - 4
⇒ 3x = 12
Divide by 3;
⇒ x = 12/3
⇒ x = 4
Thus, The solution of equation for x is,
⇒ x = 4
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Write a piecewise function that models each telephone billing plan. Then graph the function.
$60 per month buys 450 minutes. Additional time costs $0.35 per minute.
Answer: if 0 < x ≤ 450, y = $60.
if 450 < x ; y = $60 + (x - 450min)*$0.35
Step-by-step explanation:
Here x will represent the number of minutes.
with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.
so if 0 < x ≤ 450, y = $60.
now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:
if 450 < x ; y = $60 + (x - 450min)*$0.35
where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.
So our piecewise function is:
if 0 < x ≤ 450, y = $60.
if 450 < x ; y = $60 + (x - 450min)*$0.35
if 0 < x ≤ 450, y = $60.
if 450 < x ; y = $60 + (x - 450min) × $0.35
the calculation is as follows:Here x will represent the number of minutes.
so if 0 < x ≤ 450, y = $60.
And,
if 450 < x ; y = $60 + (x - 450min) × $0.35
where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.
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Which is the graph of f(x) = 3x.
Answer:
Step-by-step explanation:
The
x
-intercepts are
(
0
,
0
)
and
(
3
,
0
)
because
3
x
−
x
2
=
0
factored equals
(
x
)
(
x
−
3
)
=
0
When each of the parenthetical expressions is set equal to zero, you get
x
=
0
and
x
=
3
The vertex is
(
3
2
,
9
4
)
because the
x
-coordinate of the vertex is
x-coord. vertex
=
−
b
2
a
=
−
3
2
(
−
1
)
=
3
2
Then, you plug
3
2
into the equation for
x
and get
f
(
3
2
)
=
3
(
3
2
)
−
(
3
2
)
2
=
9
4
the graph of f(x) = 3x will be a Line.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a equation f(x) = 3x
Comparing with the slope-intercept form of the graph:
We can see the slope of the line will be 3 and since the y-intercept is 0
Since Function f(x) will be a linear equation
Therefore, its graph would be a line.
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Which transformations would result in the image shown?
a.ABCD is reflected over both axes.
b.ABCD is translated right 4 units and down 3 units.
c.ABCD is reflected over the x-axis and translated right 4 units.
d.ABCD is reflected over the y-axis and translated down 3 units.
Answer:
a.ABCD is reflected over both axes.
Step-by-step explanation:
Reflection over x-axis transforms point (x, y) into (x, -y)
Reflection over y-axis transforms point (x, y) into (-x, y)
Then, reflection over both axes transforms point (x, y) into (-x, -y). Applying this rule to figure ABCD:
A (-2, 2) -> (2, -2) which corresponds to point A'
B (-1, 2) -> (1, -2) which corresponds to point B'
C (-1, 1) -> (1, -1) which corresponds to point C'
D (-3, 1) -> (3, -1) which corresponds to point D'
Answer:
It is a
Step-by-step explanation:
hope this helps
Liz flips a coin 50 times. The coin lands heads up 30 times and tails up 20 times. Complete each statement. The theoretical probability of the coin landing heads up is ______. Based on Liz’s results, the experimental probability of the coin landing heads up is_____. The theoretical probability is than the experimental probability in this experiment________. Pls help!!!
Answer:
HEADS UP= 30/50
TAILS UP= 20/50
Answer:
HEADS UP= 30/50
TAILS UP= 20/50
Step-by-step explanation:
What is the solution to the equation?
13-+x=
x--67
x=-621
X= 20
x =21
Answer:
the answer for this question is x = 13
Step-by-step explanation:
But where the option for this question?
find the measure of angle 2.
Slove 7+x-15=-2 2/3
6 1/3
10 2/3
20 2/3
5 1/3
Answer:5 1/3
Step-by-step explanation:
Hope I helped u :)
5. What is the approximate height of the cylinder?
Use 3.14 for 77, and if necessary, round to the
nearest tenth.
10 ft
? ft
V = 314 ft3
Answer:
Height of the cylinder is 1ft
Step-by-step explanation:
Data ;
Volume = 314ft³
Assuming radius = 10ft
Height = ?
π = 3.14
Volume of a cylinder = πr²h
r = radius
h = height of the cylinder
Vol = πr²h
314 = 3.14 × 10² × h
314 = 314h
Solve for h,
h = 314 / 314
h = 1ft
The height of the cylinder is 1ft.
Identify the conclusion of the statement.
If a number is negative, then the number is less than zero.
A) a number is negative
B) a number is positive
C) the number is less than zero
D) the number is greater than zero
Answer:
C) the number is less than zero
Step-by-step explanation:
In an if ..., then ... statement, the conclusion is the phrase following "then."
Here, we have ...
If a number is negative, then the number is less than zero.
__
The conclusion is formatted in bold italics.
Which construction is being shown in the diagram?
A) Copy an angle
B) Copy a triangle
C) Construct an equilateral triangle
D) Construct the bisector of an angle
Answer:
Correct answer is option D) Construct the bisector of an angle.
Step-by-step explanation:
Angle bisector of an angle is a line that divides the angle in two equal parts.
A Line BD is called the angle bisector of [tex]\angle ABC[/tex] if
[tex]\angle ABD = \angle CBD[/tex]
Please refer to image attached.
As per the question image, if the line PW is joined it will be the angle bisector of [tex]\angle QPR[/tex].
Steps of construction of angle bisector:
1. Draw the angle QPR.
2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.
3. With the same compass opening, put the compass on Q and make an arc in the area between [tex]\angle QPR[/tex].
4. Draw an arc keeping the compass on R to cut the previous arc on point W.
Line joining the points P and W is the angle bisector of [tex]\angle QPR[/tex].
So, Correct answer is option D) Construct the bisector of an angle.
Answer: Option d
Step-by-step explanation: just took test
What is the solution to equation 3 1/2 + p = 5 1/4?
a. p = 3/4
b. p = 2 3/4
c. p = 1/4
d. p = 1 3/4
The value of p is 1 3/4
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]p = 1\frac{3}{4} [/tex]
Answer D is correct
Step-by-step explanation:
[tex]3 \frac{1}{2} + p = 5 \frac{1}{4} \\ \frac{7}{2} + p = \frac{21}{4} \\ p = \frac{21}{4} - \frac{7}{2} \\ p = \frac{21 - 14}{4} \\ p = \frac{7}{4} \\ p = 1 \frac{3}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone plz help me? 20 points and get brainliest!!!
Answer
1 is the second option, 2 is the third option
Step-by-step explanation:
for the first one divide both sides by 7 giving you z < -4
since z is less than the arrow will go to the left and will start at -4, but the will be an open circle since z is not equal to -4 answer b
for the second
it is 6/20 or 3/10
3/10 is 30% so answer c
Parker plans to buy boxes of tissues at $12 each and bowls at $4 each for his restaurant. 1)Write an algebraic expression to find the total cost of the tools if Parker buys x boxes of tissues and y bowls. 2)What is the total cost of Parker’s purchase if x=6 and y=15?
Answer:
12x+4y=132
Step-by-step explanation:
Just substitute the numbers in then substitute the others in, 12 times 6 and 4 times 15 then add the two together
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.
What is the standard form of the equation in rectangular form?
−5x+2y=9
y=7x
system of equation with substitution
Answer:
point Form: (1,7)
Equation form: x=1, y=7
Step-by-step explanation:
Multiply:(square root 10 + 2 square root 8)( square root 10 - 2 square root 8)
Answer:
-22
Step-by-step explanation:
We need to multiply the following:
[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})[/tex]
First, we need to FOIL out this expression, then we can simplify it
[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22[/tex]
The simplified expression after you multiply (square root 10 + 2 square root 8)( square root 10 - 2 square root 8) is -6.
What is simplified expression after you multiply?To solve the given expression that needs you to multiply, let's first simplify the individual terms:
Square root of 10: √10
Square root of 8: √8 = √(4 x 2) = 2√2
Now, let's substitute these values into the expression:
(√10 + 2√8)(√10 - 2√8)
Using the distributive property, we can expand this expression as follows:
= (√10 x √10) - (√10 x 2√8) + (2√8 x √10) - (2√8 x 2√8)
= 10 - 2√80 + 2√80 - 4 x 8
= 10 - 16
= -6
Therefore, the simplified expression in square root is -6.
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Which number below is a prime number?
O A. 18
O B. 12
O c. 17
O D. 28
Answer: 17 is the only prime number
Step-by-step explanation:
Answer:
C 17
Step-by-step explanation:
A. 18 = 2*9 so not prime
B. 12 = 3*4 so not prime
c. 17
D. 28 = 4*7 so not prime
17 = 1*17 so the only numbers are 1 and itself so it is prime
Suppose you want to finish running errands by 4:00 pm. Shopping will take 20 minutes. Eating will take 25 minutes. You will meet with a friend for 15 minutes. And your travel time will be a total of 20 minutes. When should you START your errands?
Answer:
2:50 pm
Step-by-step explanation:
In order to find the amount of time it takes to complete your errands, we first have to find the time it takes to complete them.
20+25+15+10=45+25=70
So, it will take 70 minutes, or 1 hour and 10 minutes to complete your errands.
We need to find what time 1 hour and 10 minutes before 4:00 is. So, one hour before 4:00 is 3:00. Then, 10 minutes before 3:00 pm is 2:50. Therefore, you have to start your errands at 2:50 pm.
Solve the inequality 2(4x+1)<3(2x-3)
Answer:
X<-11/2
Step-by-step explanation:
Hope I helped:)
The inequality 2(4x+1)<3(2x-3) is x=-11/2
We have given that,
[tex]2\left(4x+1\right) < 3\left(2x-3\right)[/tex]
We have to determine the value of the x
What is inequality?
Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
[tex]8x+2 < 6x-9[/tex]
Subtract 2 from both sides
[tex]8x+2-2 < 6x-9-2[/tex]
Simplify
[tex]8x < 6x-11[/tex]
subtract
[tex]8x-6x < 6x-11-6x[/tex]
Simplify
[tex]2x < -11[/tex]
divide 3 both sides by 2
x=-11/2
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The blue dot 15 at what value on the
number line?
10
2
Answer: The blue dot is 20.
Step-by-step explanation:
Please Help!! I will give brainliest answer but only if you explain clearly and you get it correct. If you roll two fair six-sided dice, what is the probability that the dice show the same number?
Answer:
1/6
Step-by-step explanation:
The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.
Solving each system by eliminating
x-y+z= -1
x+y+3z= -3
2x-y+2z= 0
There's only one system of equations here.
Let's eliminate x first,
x - y + z = -1
x = -1 + y - z
Substituting into x + y + 3z = -3 gives
(-1 + y - z) + y + 3z = -3
2y + 2z = -2
y + z = -1
Substituting for x into 2x-y+2z = 0 gives
2(-1 + y - z) - y + 2z = 0
-2 + 2y - 2z - y + 2z = 0
y = 2
Got lucky on that one.
z = -1 - y = -1 - 2 = -3
x = -1 + y - z = -1 + 2 - -3 = 4
Answer: x=4, y=2, z= -3
Check:
x-y+z = 4 - 2 + -3 = -1, good
x+y+3x = 4+2+3(-3) = -3, good
2x-y+2x = 2(4)-2+2(-3) = 0, good
After solving three equations, the result is x=4, y=2, and z=-3.
What is the definition of elimination?The elimination method involves removing one of the variables by combining the two equations. This method eliminates one variable, allowing you to solve for the other. Because there are two variables in a two-equation system, eliminating one simplifies the process of solving for the other. The addition property of equality is used in the elimination method for solving systems of linear equations. Each side of an equation can have the same value. So, if you have a system where x - 6 = 6 and x + y = 8, you can add x + y to the left side of the first equation and 8 to the right.Therefore,
Eliminate x first,
x - y + z = -1
x = -1 + y - z
Substituting into x + y + 3z = -3 gives
(-1 + y - z) + y + 3z = -3
2y + 2z = -2
y + z = -1
Substituting for x into 2x-y+2z = 0 gives
2(-1 + y - z) - y + 2z = 0
-2 + 2y - 2z - y + 2z = 0
y = 2
z = -1 - y
Simplifying the above equation then we get,
= -1 - 2
Z = -3
x = -1 + y - z
Substitute the value y and z the above equation,
= -1 + 2 - (-3)
Then we get
X = 4
Hence, The value of x = 4, y = 2, and z = -3
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4. Given the function f(x) = 8x + 2 , evaluate f(6)
Answer:
f(6) = 50Step-by-step explanation:
f(x) = 8x + 2
then
f(6) = 8(6) + 2
= 48 + 2
= 50
____________________________
:)
The base of a 50-ft ladder that is leaning against a building is placed 35 ft away from the bottom of a building. What angle does the ladder make with the ground?
The ladder makes a _______° angle with the ground. Round your answer to the nearest degree.
Knowing that the final course grade is determined in the manner described above, Kyra can figure out what grade she needs to earn on the final exam to earn at least a 90% for her final course grade. These are her other grades she has earned so far: Q1 = 92%, Q2 = 85%, Q3 = 88%, Q4 = 84%, and mid-term exam = 89%. What is the least whole percent she must earn on the final exam?
Answer: Kyra must earn at least 100% on the final exam.
Step-by-step explanation: Kyra's scores have been accumulating from Q1 to Q4 and then the mid term exam. Her scores are outlined as follows;
Q1 = 92, Q2 = 85, Q3 = 88, Q4 = 84, mid-term = 89.
Observe carefully that the data set (number of observed data) is 5.
What she needs now is a final average score of at least 90% after her final exam. She can use this to determine what she needs to score in her final exam. In other words, now that she has a average score, all she needs is a total of all her scores up till her final exam. Note that after writing her final exam, the data set would be six and no longer five.
Before writing her final exam, Kyra's average score was calculated as;
Average = (92 + 85 + 88 + 84 + 89)/5
However after she must have written her final exam, her average would be calculated as;
Average = (92 + 85 + 88 + 84 + 89 + x)/6
Where average is given as 90 and x is the final exam score, you now have
90 = (438 +x)/6
90*6 = 438 + x
540 = 438 + x
Subtract 438 from both sides of the equation
102 = x
Therefore from the results shown, Kyra must score up to 102% in her final exam. However, knowing that she cannot obtain a score higher than 100%, we can conclude that she must score nothing less than 100% (a hundred percent) in her final exam.
What is the following product?
12.18
N
30
56
EN
6V6
Which expression is equivalent to 4/9 (2n-3)
Answer: 8/9n - 1 1/3
BTW * MEANS TIMES
Step-by-step explanation:
Given that: 4/9(2n - 3) .....[1]
The distributive property says that:
a * (b + c) = a * b + a* c
Apply the distributive property in equation [1] we get;
4/9 * 2n + 4/9 * (-3)
Simplify:
8/9n - 4/3
We can write 4/3 in mixed fraction as:
4/3 = 1 1/3
then;
8/9n - 1 1/3
Therefore, the expression which is equivalent to 4/9(2n - 3) is, 8/9n - 1 1/3
The diameter of a basketball is approximately 24 cm. Find the volume to the nearest
hundredth. Use u = 3.14
A) 1808.64 cubic
cm
B) 5,425.92 cubic
cm
C) 7,234.56 cubic
cm
D) 57,876.48
cubic cm
Answer:
b
Step-by-step explanation:
Find the volume of the rectangular prism. A 28 cm cubed B 42 cm cubed C 24 cm cubed D 168 cm cubed..
Answer:d
Step-by-step explanation:
the answer us d becasue you have to add all the sides together
PLS ASAP OS FOR PRACTICE FSA PLS The diagram represents the shape and dimensions of kayla’s garden. What is the total area of the garden
Answer:
441 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of a square and rectangle = bh
Square
Base = 15
Height = 15
15 x 15 = 225
Rectangle
Base = 24
Height = 9
24 x 9 = 216
Add them together
216 + 225 = 441