Answer:
independent equations
Choice C is correct
Step-by-step explanation:
The system of linear equations that contains the equations;
Y = 1/2 X +2 and y =-3X +2 is said to be consistent since it has at least one solution;
The point (0,2)
If a consistent system of equations has exactly one solution, it is said to be independent.
Final answer:
The correct term describing a set of equations where each equation represents a different line that intersects at only one point is 'independent equations'.
Explanation:
The point (0,2) is mentioned as the only solution to the system of linear equations with equations y = 1/2x + 2 and y = -3x + 2. Since both equations have only one point of intersection, this means that the graphs of the two equations are two different lines that intersect at exactly one point. This means the system is consistent and the equations are independent, as they form two different lines.
Therefore, the term that describes a set of equations where each equation represents a straight line and they intersect at exactly one point is independent equations.
If f(x) = 7 + 4x and g(x) = 2x, what is the value of 8 (5)?
A)11/2
B)27/10
C)160
D)270
If the functions f(x) = 7 + 4x and g(x) =1/2x then the value of (f/g)(5) is 270, option D is correct.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x) = 7 + 4x and g(x) =1/2x
We have to find the value of (f/g)(5)
We know that from properties of functions
(f/g)(a)=f(a)/g(a)
So let us find f(5) and g(5)
f(5)=27
g(5)=1/10
(f/g)(5)=27/(1/10)
=27×10
=270
Hence, if the functions f(x) = 7 + 4x and g(x) =1/2x then the value of (f/g)(5) is 270, option D is correct.
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PLEASE HELP! SEE ATTACHMENT
Answer:
-24 - 4ε
Step-by-step explanation:
100000000000 = 10¹¹ [One hundred billion]
You multiply this by -5 to get -500000000000. Now, "⁻²" means you will be taking the Multiplicative Inverse of whatever this result is, and since it is a long answer, I decided to give it to you in Calculus [Calculator] Notation.
Answer:the answer is ten to the eleventh minus five and then minus itself twice times ten
Step-by-step explanation:
PLZ HELP ME RIGHT NOW!
Type the correct answer in each box.
Answer:
fragrance A $26
fragrance B $24
Fragrance A has the greater unit rate
Step-by-step explanation:
To find the price of fragrance A , take the price and divide by the number of bottle
$78/3 bottles = $26 per bottle
To find the price of fragrance A , we can look at the graph and find the price for 1 bottle on the x axis and go up until we hit the red line. The value of y is 24 dollars
The cross-sectional area parallel to the bases of the two figures above is the same at every level. Find the volume of the cone, to the nearest tenth.
A.
26.5 cm3
B.
44.2 cm3
C.
79.5 cm3
D.
132.5 cm3
Answer:
B. 44.2 cm3
Step-by-step explanation:
we know that
If the cross-sectional area parallel to the bases of the two figures above is the same at every level
then
the area of the base of the triangular pyramid is the same that the area of the base of the cone
step 1
Find the area of the base of the pyramid
[tex]A=(1/2)[6*4.8]=14.4\ cm^{2}[/tex]
step 2
Find the volume of the cone
The volume of the cone is equal to
[tex]V=\frac{1}{3}Bh[/tex]
we have
[tex]B=14.4\ cm^{2}[/tex]
[tex]h=9.2\ cm[/tex]
substitute
[tex]V=\frac{1}{3}(14.4)(9.2)[/tex]
[tex]V=44.2\ cm^{3}[/tex]
Find y: 5 + y = -15
Answer:
y = -20
Step-by-step explanation:
5 + y = -15
Subtract 5 from both sides to isolate y.
y = -15 - 5
y = -20
Hello!
Answer:
[tex]\boxed{y=-20}\checkmark[/tex]
The answer should have a negative sign.
Step-by-step explanation:
First, you switch sides.
[tex]y+5=-15[/tex]
Then, you subtract by 5 both sides.
[tex]y+5-5=-15-5[/tex]
Finally, you simplify.
[tex]-15-5=-20[/tex]
[tex]y=-20[/tex], which is our answer.
Hope this helps!
Thanks!
Have a nice day! :)
-Charlie
Which of the following represents a region of a circle?
A. Sector
B. Arc
C. Tangent
D. Circumference
Answer:
A. Sector
Step-by-step explanation:
A Sector represents a region of a circle.
Answer:
The one that represents a region of a circle is A: Sector.
Step-by-step explanation:
It is a slice, a piece-slice part of a circle the area between two radiuses and the connecting arc of a circle. The segment of a circle is the region bounded by a chord and the arc subtended by the chord. It differs from the segment because the segment is the region bounded by a chord and the arc subtended by the chord.
Y=f(x)=1/16^x Find the f(x) when x=1/4 Express as a decimal rounding to the nearest thousandth
Answer:
0.500.
Step-by-step explanation:
f(x) = 1/16 ^ 1/4
Now 16 ^1/4 = ⁴√16
= 2
so f(x) = 1/2
= 0.500.
Which term describes a function in which the yvalues form a geometric
sequence?
O
A. Linear increase
O
B. Exponential growth
O
C. Linear function
O
D. Exponential function
Answer:
C. Third option
Step-by-step explanation:
C is the correct answer, because linear function describes a function in which the y values form a geometric sequence.
Hope this helps!
If f(x) is a function and f(1) = 5, then which of the following could not be true?
Of(1) = 1
f(2)= 1
f(5) = 5
RE
-
NEXT QUESTION
O ASK FOR HELP
Answer:
f(1) = 1
Step-by-step explanation:
A function can have only one value of y for a given value of x.
Thus, if f(1) = 5, we cannot have f(1) = 1.
We can have f(2) =1 and f(5) = 5, because these are values of y for different values of x,
The first diagram below is the graph of a function, because there is only value of y that corresponds to a given value of x.
The second diagram is not the graph of a function, because there are two values of y that correspond to a given value of x.
However, the top semicircle and the bottom semicircle separately are graphs of functions, because they each have only value of y that corresponds to a given value of x.
Final answer:
The statement that could not be true for a function f(x) where f(1) = 5 is any claim that f(x) takes a different value than 5 for any x within the domain [0, 20], where f(x) is described as a horizontal line. Therefore, if f(1) = 5, it must be true that f(x) = 5 for all x in [0, 20].
Explanation:
If f(x) is a function and f(1) = 5, then it indicates that when we input 1 into the function f, we get the output of 5. The question asks which statements could not be true based on this piece of information and additional details regarding the nature of function f. The provided information suggests that the graph of f(x) is horizontal for 0 ≤ x ≤ 20, which means the output value of f(x) is the same for any input value x within that domain.
Likewise, we can determine some possible characteristics of f(x) based on the nature of continuous functions. Adding a constant to f does not affect the derivative, so despite the value of f at x = 1 being 5, we cannot deduce the exact form of f but can infer its behavior around that point. It is essential to note that when a function is defined as a continuous horizontal line within a certain domain, its value is constant across that domain. As a result, if f(1) = 5 for the function f(x) = a horizontal line on the interval [0, 20], it implies that f(x) must be 5 for all x in that interval.
Therefore, any statement that implies the function has a different value than 5 for any x in [0, 20] cannot be true. For instance, if there were a claim that f(2) ≠ 5 or that f(x) is not defined for some x within the interval where it is supposed to be a horizontal line, such a statement would be false given the function's described behavior.
What is the solution of 2x+4 = 16?
Answer:
x=6
Step-by-step explanation:
2x+4=16
-4 -4
2x+4-4=16-4
2x=12
/2 /2
2x/2=12/2
x=6
Answer:
x=6
Step-by-step explanation:
2x+4 = 16
Subtract 4 on each side
2x+4-4 = 16-4
2x = 12
Divide each side by 2
2x/2 = 12/2
x = 6
solve the equation for all real solutions 20p^2+33p+16=6
First you must bring 6 to the other side of the equation so it equals zero. To do this subtract 6 to both sides
20p^2+33p+16 - 6=6 - 6
20p^2+33p+10=0
Use the quadratic equation to solve this (image of the quadratic equation is below)
Remember that quadratic functions are set up like so:
[tex]ax^{2} +bx +c = 0[/tex]
That means that in this equation...
a = 20
b = 33
c = 10
^^^Plug these numbers into the quadratic equation and solve...
[tex]\frac{-33+/-\sqrt{(33)^{2}-4(20)(10)}}{2(20)}[/tex]
[tex]\frac{-33 +/-\sqrt{1089-800}}{40}[/tex]
[tex]\frac{-33+/-\sqrt{289} }{40}[/tex]
[tex]\frac{-33+/-17}{40}[/tex]
Keep in mind that +/- is ±
[tex]\frac{-33+17}{40}[/tex] ---> -2/5 ---> -0.4
[tex]\frac{-33-17}{40}[/tex] ---> -5/4 ---> - 1.25
Hope this helped!
~Just a girl in love with Shawn Mendes
Use the diagram and given information to answer the questions and prove the statement.
Re-draw the diagram of the overlapping triangles so that the two triangles are separated.
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent? What congruency theorem would be applied?
Prove AZ ≅ BX using a flow chart proof.
Answer:
See explanation
Step-by-step explanation:
ASA Postulate (Angle-Side-Angle):
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider triangles XYB and ZYA. In these triangles
∠X≅∠Z (given)XY≅ZY (given)∠Y is common angleBy ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so
BX≅AZ
[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]
Please refer the below solution.
Step-by-step explanation:
Given :
[tex]\rm \angle X \cong \angle Z[/tex][tex]\rm \angle Y \;is\;common[/tex]
[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]
Solution :
According to ASA (Angle Side Angle) postulate:
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then both the triangles are congruent.
Now, consider triangle XBY and ZAY
[tex]\rm \angle X \cong \angle Z[/tex]
[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]
[tex]\rm \angle Y \; is \; common[/tex]
According to ASA postulate triangle XBY and ZAY are congruent. And congruent triangles have congruent corresponding sides, therefore
[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]
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What is the interquartile range of this day at set?
Answer: 49
Step-by-step explanation
Am god
Who can help me?
please
Thank you
The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,
[tex]110-2x+x+50+5x-40=180[/tex]
Simplify this.
[tex]4x+120=180[/tex]
[tex]4x=60[/tex]
[tex]x=15[/tex]
Now we can find each angle measure.
[tex]110-2x[/tex]
[tex]110-2(15)[/tex]
[tex]110-30[/tex]
[tex]80[/tex]
[tex]x+50[/tex]
[tex]15+50[/tex]
[tex]65[/tex]
[tex]5x-40[/tex]
[tex]5(15)-40[/tex]
[tex]75-40[/tex]
[tex]35[/tex]
So the angle labeled [tex]110-2x[/tex] is the largest angle in the triangle.
Answer:
x=15
biggest angle is 110-2x
Step-by-step explanation:
What is the product?
(2x-1)(x+4)
The correct answer would be C. 2x^2+7x-4. Hope this helps! :)
What graph represents an even function
You and a friend are playing a board game.
Your final score x is 12 points less than your friend's
final score. Write and solve an equation to find your
final score.
Answer:
5
Step-by-step explanation:
Answer:
the answer is five
Step-by-step explanation:
because
How is finding the fourth vertex of a parallelogram that is not a rectangle or a square the same as it is for a rectangle or square? How is it different?
well, the only difference from a parallelogram that is a square or a rectangle and one that isn't, is that the interior angles are 90° in the square and rectangle, however for other ones, like the one in the picture below, they are not 90°.
however, getting to any vertex, is just a matter of moving horizontally and vertically the same distances, as you see those arrows on the picture, since both pair of sides are parallel, one moves the same distance horizontall and vertically to get to the next vertex, so on that, is the same as for a square or rectangle as well.
is only different in that you're not moving alongside the segment, in a rectangle or a square, the lines are only vertical or horizontal, so you simply move straight to get the next vertex, on other parallelograms like the one below, you do move the same but is not alongside the segments.
m[tex]m^{2} -5m+mn-5n[/tex] equals what?
please help me !! please explain on how to do it
Answer:
A) No B) The relation f(8) C) x = 3
Step-by-step explanation:
A) In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
B) Lets name the upper table outputs "g(x)", so
[tex]g(8) = 8 \: \: and \: \: f(8) = 8 \times 8 - 5 = 64 - 5 = 59[/tex]
[tex]\: 59 > 8 \: \: therefore \: \: f(8) > g(8)[/tex]
C)
[tex]f(x) = 19 \: \: and \: \: f(x) = 8x - 5 \\ 8x - 5 = 19 \\ 8x = 19 + 5 \\ 8x = 24 \\ x = 24 \div 8 \\ x = 3[/tex]
graph the linear equation. find three points that solve the equation, then plot on the graph. -x-3y=-6
Answer:
The equation can be written as
x+3y=6
To graph, you need to create a table for values of x with corresponding values of y that satisfy the equation
Sample points that solve the equation could be;
(-3,3),(3,1) and (-9,5)
From the graph attached, the three points are;
(-6,4)(0,2)(6,0)Bill will rent a car for the weekend. He can choose one of two plans. The first plan has no
initial fee but costs $0.70 per mile driven. The second plan has an initial fee of $50 and
costs an additional $0.50 per mile driven. How many miles would Bill need to drive for the
two plans to cost the same?
Clear
Undo Help
Answer:
250 miles
Step-by-step explanation:
Let number of mile driven be x
plan 1: Cost = 0.7x
plan 2: Cost = 50 + 0.5x
for both plans to cost the same,
Plan 1 Cost = Plan 2 Cost
0.7x = 50 + 0.5x (solve for x)
0.7x - 0.5x = 50
0.2x = 50
x = 250 miles
the price of one share of XYZ inc's stock drop by $0.02 on Monday. On Tuesday the price goes back up by $0.05.
Write an expression with three terms to show the change in price of XYZ stock.
_____________________________________________________________
If one share of XYZ stock cost $34.18 at the start of business on Monday morning, what is the price of the one share of XYZ stock at the close of business on Tuesday evening?
Answer:
1. $(x+0.03) - $x
2. $ 34.21
Step-by-step explanation:
Let the price of XYZ inc's share to be = $ x
On Monday, the price drops by $ 0.02 = $ x- $ 0.02 = $ (x-0.02)
New price of shares on Monday is = $ (x- 0.02)
On Tuesday the price goes up by $0.05 = $ (x-0.02) + $ 0.05 = $(x-0.02+0.05)
New price on Tuesday = $( x+ 0.03)..............................................(a)
Change in price of one share of XYZ's stock= Price on Tuesday - price of share
= $(x+0.03) - $x..........................................(b)
2. Give that x= $34.18 solve equation (a) above
Price on Tuesday at close of business= $ (x+0.03)
= $ (34.18+0.03)
= $ 34.21
What is the 47th term of the arithmetic sequence with this explicit formula?
an= -11 + (n - 1)(-3)
Answer:
-149
Step-by-step explanation:
Just plug in 47
-11+(47-1)(-3)
-11+46(-3)
-11+-138
- 149
Answer:
= -149
Step-by-step explanation:
an= -11 + (n - 1)(-3)
The 47th term means n = 47
a47 = -11 + (47-1) (-3)
= -11 + 46 (-3)
= -11 -138
= -149
Find the new balance if $875 is deposited and $316 is withdrawn from a balance of $2,056.
Answer:
$2,615 i did the math
Which expression is equivalent to 12*12*12*12*12*12*12*12*12*12*12
Answer:
33?
Step-by-step explanation:
Answer:
Step-by-step explanation:
The measure of one of the small angles of a right triangle is 18 less than twice the measure of the other small angle. Find the measure of both angles. Use integers only
Answer:
36° and 54°
Step-by-step explanation:
We are given that one of the small angles of a right angled triangle is 18 less than twice the measure of the other small angle.
We are to find the measure of both angles.
Assuming [tex]x[/tex] to be the other small angle, 8 less than twice the measure of the other small angle = [tex]2x-18[/tex].
Summing all three angles up ti get:
[tex]x+(2x-18)+90=180[/tex]
[tex]3x=180-90+18[/tex]
[tex]3x=108[/tex]
[tex]x=\frac{108}{3}[/tex]
x = 36°
So other angle will be [tex]2(36)-18=[/tex] 54°.
Answer:
36° and 54°
Step-by-step explanation:
let x be one of the smaller angles, then the other smaller angle is 2x - 18 ( 18 less than twice the other )
Since it is a right triangle then the sum of the 2 smaller angles equals 90, so
x + 2x - 18 = 90
3x - 18 = 90 ( add 18 to both sides )
3x = 108 ( divide both sides by 3 )
x = 36
One angle = 36°
the other angle = (2 × 36) - 18 = 72 = 18 = 54°
Basketball court has a perimeter of 278 feet the basketball court is 38 feet longer than it is wide find the length and the width of the garden justify your answer
ANSWER
[tex]w = 50.5[/tex]
[tex]l = 88.5[/tex]
EXPLANATION
The basketball court has a rectangular shape.
The perimeter of this court is calculated using the formula
[tex]P=2(l + w)[/tex]
It is given that,the court has a perimeter of 278ft. Let the width of the court be 'w' units, then the length is "w+38"
The perimeter then becomes:
[tex]2(w + 38+ w) = 278[/tex]
[tex]2w + 38= 139[/tex]
[tex]2w = 139 - 38[/tex]
[tex]2w = 101[/tex]
[tex]w = 50.5[/tex]
[tex]l = 50.5 + 38 = 88.5[/tex]
Check
[tex]P = 2(88.5 + 50.5)[/tex]
[tex]P = 2(139) = 278[/tex]
Using only the digits 5, 6, 7, 8, how many different three digit numbers can be formed if no digit is repeated in a number?
[tex]4\cdot3\cdot2=24[/tex]
Use the figure and flowchart proof to answer the question.
Which Property of equality accurately completes Reason B?
A). Addition Property of Equality
B). Divison Property of Equality
C). Substitution Property of Equality
D). Subtraction Property of Equality
Answer:
D Subtraction Property of Equality
Step-by-step explanation:
Whenever we subtract the same number of expression from both sides of the equation, the equality remains the same.
Reason A. - Consecutive Interior Angles
Reason B. - Substitution Property of Equality
Reason C. - Subtraction Property of Equality
The Property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).
Explanation:The property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).
The Addition Property of Equality states that if you add the same number to both sides of an equation, the equality is still preserved. In other words, if A + B = B + A, you can add the same number to both sides to obtain A + B + C = B + A + C, where C is any number.
In the given figure and flowchart proof, the equation A + B = B + A represents the Addition Property of Equality, and by applying this property, we can conclude that Reason B should be completed with the Addition Property of Equality (A).