Answer:
x=1
x=-5
Step-by-step explanation:
we know that
The solution of the system of equations is the intersection point both graphs
In this problem there are two intersection points
so
The system has two solutions
we have
one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)
see the attached figure
therefore
x=1
x=-5
Step-by-step explanation:
What property do rectangles and parallelograms always share? 4 right angles 4 sides of equal length 2 pairs of parallel sides 2 acute angles (1 answer choice)
Answer:
A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.
Step-by-step explanation:
A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.
A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.
The only thing these shapes have in common is that they both have two pairs of parallel sides.
Answer:
C: 2 pairs of parallel side
Step-by-step explanation:
I got it correct in a quiz I did that had this question.
Here is a list of numbers:
2, 13, 13, 6, 10,4 16,14,20
State the median.
Answer:
Median = 13
Step-by-step explanation:
Arranging it in ascending order:
=> 2,4,6,10,13,13,14,16,20
Median is the middlemost no.
So,
=> Median = 13
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.\
I'm sorry it took this lobg
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 50, 100, 150, 200, .
Answer:
50n
Step-by-step explanation:
This problem can be solved using concept of Arithmetic progression(AP)
In AP series
the series increases or decreases by certain number which is called common difference.
common difference d is given by
d= nth term - (n-1)th term
nth term = a + (n-1)d
where a is the first term of the series
thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d
_______________________________________
Given series
50, 100, 150, 200
a = 50
to find d lets use 3rd term as nth term and 2nd term as (n-1)th term
d = 150 -100 = 50
Thus,
nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n
50n can represent the position of the term of the sequence.
To validate this lets put n = 4
50*4 = 200 which is the same as the fourth term given in the series.
hence our solution is correct.
If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2? A triangle with a base of 18.18 centimeters and a height of 10.9 centimeters. A triangle with a base of 42.2 centimeters and a height of 26.2 centimeters. A triangle with a base of 88 centimeters and a height of 52.8 centimeters. A triangle with a base of 200 centimeters and a height of 120 centimeters.
Answer: C) 52.8 and 88
Step-by-step explanation:
Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88. Thus the answer is C.
Hope it helps <3
Answer:
Third Choice 52.8 cm by 88 cm
Step-by-step explanation:
Multiply each dimension by the scale factor.
24 cm * 2.2 = 52.8 cm
40 cm * 2.2 = 88 cm
Answer:
Which rule describes the composition of
transformations that maps
ABC to A'B'C"?
Answer:
translation
Step-by-step explanation:
which solution can be used to fill in both blanks in the table
Answer:
(5, 2)
Step-by-step explanation:
As 8x = 40
x = 40÷8
x = 5
This is the first solution
Then 4x + 4y = 28
We know that x = 5 as above
So let's substitute it:
4x + 4y = 28
(4 × 5) + 4y = 28
20 + 4y = 28
Let's get the 20 to other side
20 - 20 + 4y = 28 - 20
4y = 8
y = 8 ÷ 4
y = 2
Hence we get these two solutions
(5,2)
:-)
If f(x) = -15x + 3, then f^-1(x) =
Answer:
f^-1(x) is - (x -3)/15
Step-by-step explanation:
f(x) = -15x + 3
To find f^-1(x) equate f(x) to y
That's
y = f(x)
Which is
y = -15x + 3
Next interchange the terms x becomes y and y becomes x
That's
x = - 15y + 3
Make y the subject
We have
-15y = x - 3
Divide both sides by - 15
We get
y = x-3/-15
y = - x - 3/15
Therefore f^-1(x) is - (x -3)/15
Hope this helps you
-(-(-2))+(-3)(-4)(-5)
Answer:
-62
Step-by-step explanation:
Use BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) or use a calc.
-(2) + (12)(-5)
-2 + -60
-62
Answer:
Step-by-step explanation:
-(-(-2)) + ( -3)(-4)(-5) = -2 - (3*4*5) = -2 - 60 = -62
In multiplication, count the number of negative. If number of negative is odd, the result will have negative sign
What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION
Answer:
4
Step-by-step explanation:
Given
-5, -20, -80, .....
Required
Determine the common ratio
The common ratio of a sequence is determined by dividing a term by its immediate previous term;
Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r
From the analysis above;
[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]
Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]
[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]
[tex]r = 4\ or\ r = 4[/tex]
Both values of r are the same;
Hence, the common ratio of the sequence is 4
Use the interactive to graph the line with a y-intercept of –2 and slope of –1/3.
What is the x-intercept of the line?
–6
–3
3
6
Answer:
-6
Step-by-step explanation:
please solve each inequality and show you work thank you so much:)
2x – 7 > 3= ?
[tex]\frac{x}{4} +11\geq 8[/tex]= ?
[tex]-6x+7\geq 19[/tex]= ?
-10+4x>50= ?
[tex]\frac{x}{-2}[/tex]-17>-13= ?
[tex]8-2x\leq 46[/tex]= ?
[tex]-13x+1\leq -25[/tex]= ?
[tex]-7+\frac{x}{3} \ \textgreater \ -4[/tex]= ?
[tex]-9x-19\geq 17[/tex]= ?
[tex]16-x\ \textgreater \ 9[/tex]= ?
Answer:
1) [tex]\boxed{x > 5}[/tex]
2) [tex]\boxed{x \geq -12}[/tex]
3) [tex]\boxed{x \leq -2}[/tex]
4) [tex]\boxed{x > 15}[/tex]
5) [tex]\boxed{x < -8}[/tex]
6) [tex]\boxed{x \geq -19}[/tex]
7) [tex]\boxed{x \geq 2}[/tex]
8) [tex]\boxed{x > 9}[/tex]
9) [tex]\boxed{ x \leq - 4}[/tex]
10) [tex]\boxed{x < 7}[/tex]
Step-by-step explanation:
1) [tex]2x-7 > 3[/tex]
Adding 7 to both sides
=> 2x > 3+7
=> 2x > 10
Dividing both sides by 2
=> x > 5
2) [tex]\frac{x}{4} + 11 \geq 8[/tex]
Subtracting 11 to both sides
[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]
Multiplying both sides by 4
x ≥ -3 * 4
x ≥ -12
3) -6x+7 ≥ 19
Subtracting 19 to both sides
=> -6x ≥ 19-7
=> -6x ≥ 12
Dividing both sides by -6
=> x ≤ -2
4) -10 + 4x > 50
Adding 10 to b.s
=> 4x > 50+10
=> 4x > 60
Dividing b.s by 4
=> x > 15
5) [tex]\frac{x}{-2} - 17 > -13[/tex]
[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]
=> x < 4*-2
=> x < -8
6) 8 - 2x ≤ 46
Subtracting 8 from b.s
=> -2x ≤ 46-8
=> -2x ≤ 38
Dividing b.s by -2
=> x ≥ -19
7) -13x+1 ≤ -25
Subtracting 1 from both sides
=> -13x ≤ -25-1
=> -13x ≤ -26
Dividing both sides by -13
=> x ≥ 2
8) [tex]-7 + \frac{x}{3} > -4[/tex]
Adding 7 to b.s
=> x/3 > -4+7
=> x/3 > 3
Multiplying 3 to b.s
=> x > 3*3
=> x > 9
9) -9x-19 ≥ 17
Adding 19 to both sides
=> -9x ≥ 17+19
=> -9x ≥ 36
Dividing both sides by -9
=> x ≤ -4
10) 16 - x > 9
Adding x to both sides
=> 16 > 9 + x
Subtracting 9 from both sides
=> 16 - 9 > x
=> 7 > x
OR
=> x < 7
NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.
Answers:
[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]
Step-by-step explanation:
2x - 7 > 3
2x > 10
x > 5
x/4 + 11 ≥ 8
x/4 ≥ -3
x ≥ -12
-6x + 7 ≥ 19
-6x ≥ 12
x ≤ -2
-10 + 4x > 50
4x > 60
x > 15
-x/2 - 17 > -13
-x/2 > 4
-x > 8
x < -8
8 - 2x ≤ 46
-2x ≤ 38
x ≥ -19
-13x + 1 ≤ -25
-13x ≤ -26
x ≥ 2
-7 + x/3 > -4
x/3 > 3
x > 9
-9x -19 ≥ 17
-9x ≥ 36
x ≤ -4
16 - x > 9
-x > -7
x < 7
Lines L and M are parallel.
4
3
5
L
2
1/6
38° 7.
- M
Find : m24
Enter the number that
belongs in the green box.
?]
Enter
Answer:
38°solution,
<2=38°( being corresponding angles)
<4=<2( being vertically opposite angles)
=38°
About corresponding angles:
Please look the first one picture.
There,
<b is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other.They are called corresponding angle.A pair of corresponding angles made by a transversal with parallel lines is always equal.
About vertically opposite angles
please look the second one picture.
there,
<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles.Vertically opposite angles are always equal.
<AOC=<BOD
<AOD=<BOC
Hope this helps...
Good luck on your assignment..
solve this systems of linear equations.separate the x- and y-values with a comma 18x+7y=-89 9x-9y=18
Answer:
Step-by-step explanation:
18x+7y=-89 equation1
9x-9y=18 equation2
multiplying equation 2 by 2
2(9x-9y=18) 18x-18y=36 equation 3
subtacting equation 1 and 3
18x-18x+7y+18y=-89-36
25y=125
y=5
putting the values of y in equation1
18x+7(5)=-89
18x+35=-89
18x=-89-35
18x=-124
x=-6.8
How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? _____ gal
Answer:
Step-by-step explanation:
each gallon 15% alcohol
and 5% alcohol
*is this question correct?
Answer:
Step-by-step explanation:
Let x = Gallons of 15% alcohol
y = gallons of 5% alcohol
x + y = 10 gallons
y = 10 - x
15% of x + 5% of y = 14% of 10 gallons
0.15x + 0.05y = 0.14 * 10
0.15x + 0.05 * ( 10 - x) = 1.4
0.15x + 0.05*10 - x * 0.05 = 1.4
0.15x + 0.5 - 0.05x = 1.4
Add like terms
0.10x + 0.5 = 1.4
Subtract 0.5 from both sides
0.10x = 1.4 - 0.5
0.10x = 0.9
Divide both sides by 0.10
x = 0.9/0.1
x = 9
x = 9 gallons
y = 1 gallons
PLS ANSWER NOW i'm desperate
Answer:
1.6 < x < 9.6
Step-by-step explanation:
The smallest the third side can be is greater than the difference of the other two sides
x > 5.6 -4
x > 1.6
The largest the third side can be is less than the sum of the other two sides
x < 5.6 +4
x < 9.6
1.6 < x < 9.6
An apple that was 4 meters off the ground was blown off a tree. The angle between the final position of the apple and the original
position of the apple was 35
4 m
35
Note: picture not drawn to scale
Which equation can be used to find the horizontal distance, r, that the apple was displaced?
we also need the vertical distance between the original spot and the ground to solve this,
Answer:
tan 35° = \frac{4m}{r}
Step-by-step explanation:
Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg
3^x+x³=17
solve for x
Answer:
Hello!
~~~~~~~~~~~~~~~
3^x+x³=17
= x = 2
Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.
Hope this helped you! Brainliest would be nice! ❤︎
From the figure, if y = 400 then find the value of x .
Answer:
70°Solution,
y=40°
now,
[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]
Hope this helps...
Good luck on your assignment...
A point a is graphed at (0,5). Complete the coordinates of a shape that can be rotated around the y axis to create a cylinder provide an explanation for your answer to receive full credit.
Answer:
The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0)
Step-by-step explanation:
A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD
Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;
The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0).
Use multiples to write two fractions equivalent to 9/10 - 12/13, 36/40 18/20, 10/11 8/9 * 27/30 18/20, 27/30
Answer:
27/30 18/20
Step-by-step explanation:
Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM
Answer:
False.
Step-by-step explanation:
Just look at them. They aren't even similar.
A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.
Hence, the given statement is false.
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Which graph is defined by f(x)=x^2+5|x|+6
Answer: C
Step-by-step explanation:
You are given a graph which is defined by f(x)=x^2+5|x|+6
Where the intercept of the graph is 6
Since the equation of the graph has a modulus 5|x|. Which can be span to the negative x component and positive x component, the root of the quadratic function will both be at negative x component and positive x component.
Which are 2 and 3 or -2 and -3
Option C is therefore the best graph for the answer to the question.
Pleas help!!!!
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
questions
Online Content: Site 1
Explain what is meant by domain and range.
Answer:
Domain are the values of x-coordinates
Range are the values of y-coordinates
Step-by-step explanation:
In the set of ordered pairs {(-2, 0), (0, 6), (2, 12), (4, 18)}, the domain is the set of the first number in every pair (those are the x-coordinates): {-2, 0, 2, 4}. The range is the set of the second number of all the pairs (those are the y-coordinates): {0, 6, 12, 18}.
{(-2, 0), (0, 6), (2, 12), (4, 18)}
Domain: {-2, 0, 2, 4}.
Range: {0, 6, 12, 18}
Answer:
Domain- set of x-values
Range- set of y-values
Step-by-step explanation:
Domain
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain:
The denominator (bottom) of a fraction cannot be zero The number under a square root sign must be positive in this section
Range
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.
How to find the range
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) Substitute different x-values into the expression for y to see what is happening. Make sure you look for minimum and maximum values of y. Draw a sketch!To convert a fraction into a decimal number, divide the denominator by the numerator. TrueFalse
oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy
Answer:
false; you divide the NUMERATOR by the denominator.
Please help, just answer this question.
Answer:
[tex] - \frac{5}{2} [/tex]Given that,
Slope of line A=2/5
We know that , slope of perpendicular line is product of slopes.
i.e. M1 • M2=-1
[tex] m1 = \frac{2}{5} \: \: [/tex]
m2=?
Now,
[tex] \frac{2}{5} \times m2 = - 1 \\ or \: m2 = - 1 \times \frac{5}{2} \\ \: m2 = - \frac{ 5}{2} [/tex]
Therefore, Slope of line B is -5/2.
Hope this helps..
Good luck on your assignment..
The graph of function f is shown. Function g is represented by this equation g(x) = 2(2)^x. A. They have different y-intercepts but the same end behavior. B. They have same y-intercepts but different end behavior. C. They have different y-intercepts and different end behavior. D. They have the same y-intercept and the same end behavior
Answer:
G(×)=2(2)^×.Q
Step-by-step explanation:
As per the function, they have different y-intercepts and different end behavior.
To compare with function f, we need to analyze its y-intercept and end behavior. If the y-intercept and end behavior of both functions are the same, the answer would be D. However, if they differ in either the y-intercept or the end behavior, the answer would be either A, B, or C.
The functions f and g have different y-intercepts since the y-intercept of g is 2, whereas the y-intercept of f would be the value of f(0) based on its graph. Additionally, they have different end behavior since function g approaches positive infinity as x increases, while function f appears to approach a horizontal asymptote.
Answer: C. They have different y-intercepts and different end behavior.
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Consider the line - 8x-5y = -7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
See below
Step-by-step explanation:
First, you need to find the slope of the given line. You can do this by rearranging the equation so that it is in slope-intercept form (y = mx + b).
-8x - 5y = -7
-5y = 8x - 7
y = -8/5x + 7/5
The slope of this line is -8/5.
The slope of a line that is perpendicular will be the negative reciprocal. You have to change the sign, and basically flip the numerator upside down. The slope of the perpendicular line will be 5/8
-8/5 = 8/5 = 5/8
The slope of a line that is parallel will be equal. This means that the slope will be -8/5.
How many different "words" can be made from the given words by re-arranging the letters? DIGIT KINDNESS MATHEMATICIAN
Kindness- skinned, sinned, kissed, skeins, skies, sides, kind, kinds, end 86 words
Digit- dig, it 8
Mathematician- titanic, intact, manic, cat, math, … 346
Answer:
digit: 60
kindness: 10080
mathematician: 129729600
Step-by-step explanation:
sorry if this isn't right, and sorry I don't have an explanation but this worked for me.
30 POINTS!!! Heather is collecting dimes. She saves one dime on the first day, two dimes on second day, and three dimes on third day. If this pattern continues, hom much money will heather have saved at the end of 30 days? Please Explain!
Answer:
hope dis help ;_;
Step-by-step explanation:
It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).
But nobody wants to do that repetitive computation. If we factor out the (.1),
we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.
We really need a formula for big numbers though. The short cut for adding a series
of numbers is to find the average of the first and last numbers and multiply by how
many there are in the list:
(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465
465(.1) = $46.50
The money that Heather will save at the end of 30 days will be 465.
What is arithmetic progression?
Arithmetic progression is a sequence of numbers with a common difference. It is given by,
aₙ = a₁ + (n - 1)d
Where,
aₙ = the nᵗʰ term in the sequence
d = common difference
a₁ = first term
Now,
We have,
Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.
So,
Money saved on the first day = 1
And,
Money save on 30 day = 30
So,
Using the sum of Arithmetic progression formula,
Sₙ = n/2 [ a + l ]
where,
n = 30
a = first term = 1
l = last term = 30
Now,
Sₙ = n/2 [ a + l ]
Sₙ = 30/2 [ 1 + 30]
Sₙ =15 × 31
Sₙ = 465
So, money saved at the end of 30 days = 465
Hence we can say that the money that Heather will save at the end of 30 days will be 465.
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