Answer:
The table does not represent a function.
Step-by-step explanation:
Every function must have a exactly one y-value for every x-value. Two different x-values can have the same y-value, but two different y-values cannot have the same x-value.
In the table, we see that the same x-value has two different y-values:
[tex](15, \textbf{10}),\\(15, \textbf{10.5})[/tex]
Thus, the table does not represent a function.
illustrate the solution of the inequality ( x - 5) ( x + 5)≥ 0. on the number line
Answer: The diagram is shown below
==============================================================
Explanation:
If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.
If x < -5, then (x-5)(x+5) is positive. Let's say x = -6
(x-5)(x+5)
(-6-5)(-6+5)
(-11)(-1)
11
So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.
Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.
It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5
Plugging x = 0 leads us to
(x-5)(x+5)
(0-5)(0+5)
(-5)(5)
-25
Showing that (x-5)(x+5) is negative on the interval -5 < x < 5
---------------------------------------------
Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0
We found that (x-5)(x+5) is positive when x < -5 or when x > 5
(x-5)(x+5) is equal to zero when x = -5 or x = 5
So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]
To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).
The graph is below.
If I had 3000 plums and I sold 100 how much money would I have plums would I have left.
Answer:
2,900 plums left
Step-by-step explanation:
3,000 plums - 100 sold plums = 2,900 plums left
Answer:
2900
Step-by-step explanation:
3000 (plums) - 100 (plums sold) = 2900 (plums left.)
You didn't say how much money you started out with by the plums.
Can someone please help me? i’m struggling please help
Answer:
they are NOT similar!
Step-by-step explanation:
the angles are not conguent or they are not the same in words
the don't add up with the same sum of angles,
so your explanation would be:
45 plus 29 has a sum of 74 for the right triangle and the left triangle has angles 106 degrees plus 29 degrees with a sum of 135 degrees, there-fore the triangles aren't similar because the angles are not equal to each other
9514 1404 393
Answer:
∆AFN ~ ∆SHE . . . . AA~
Step-by-step explanation:
The third angle in triangle HSE is ...
180° -45° -29° = 106°
This means two angles in ∆SHE match two angles in ∆AFN. (106° and 29°) The triangles are similar by AA~.
Listing vertices in order of smallest-to-largest angles, the similarity statement is ...
∆AFN ~ ∆SHE . . . . AA~
can u help me with this question?
PLEASE HELP. !!!!!!
the 4th option is “A translation 2 units left and 1 unit up
Solve log1/5 (x) = -1
Answer:
-¹/5.
Step-by-step explanation:
hope it helps you mark me as branliest
Answer:
x =5
Step-by-step explanation:
Formulas used
[tex]log_a \ x = b\\\\=>x = a^b\\\\(\frac{1}{a})^{-1} = a[/tex]
Solution :
[tex]log_{\frac{1}{5}} \ x = -1\\\\x = (\frac{1}{5})^{-1}\\\\x = \frac{1}{5^{-1}} = 5[/tex]
Please help quickly
Answer:
x = 2
Step-by-step explanation:
The axis of symmetry is a vertical line passing through the vertex, with equation
x = c ( c is the x- coordinate of the vertex ) , then
x = 2 ← equation of axis of symmetry
Answer:
x=2
Step-by-step explanation:
To find the axis of symmetry for a quadratic, you use the formula:
[tex]x=-2ba[/tex]
Looking at the chart, we can see that [tex]b=-1[/tex] (the vertical shift) and [tex]a=1[/tex] (the slope. Plugging these values into the formula, we get:
[tex]x=-2(-1)(1)=2[/tex]
Therefore, [tex]x=2[/tex] is the axis of symmetry.
The much simpler way of determining this, however, is simply looking at the graph and finding where the vertex is. It is given here that the vertex point is (2, -1) and the graph is mirrored horizontally so you can simply take the x-coordinate and that will be the axis of symmetry. If the parabola was mirrored vertically, the axis of symmetry would then be the y-coordinate of the vertex.
Find the common difference of the arithmetic sequence -6, -13, -20,...
Answer:
-7
Step-by-step explanation:
arithmetic sequences are consistant sequences by adding or subtracting a constant term, in this case to get from -6 to -13, you subtract 7. And to get from -13 to -20 you subtract 7 again. The next number in the sequence would be -27 as -20-7= -27
Hope this helps!
The common difference of the arithmetic sequence -6, -13, -20 is -7.
To find the common difference of an arithmetic sequence, we subtract any term from the term that follows it.
In the given sequence -6, -13, -20, the common difference can be found by subtracting each term from the term that follows it as:
-13 - (-6) = -13 + 6 = -7
-20 - (-13) = -20 + 13 = -7
From the calculations above, we can see that the common difference of the arithmetic sequence -6, -13, -20 is -7.
Learn more about arithmetic sequence here:
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Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
What is the value of A?
-20
3
4
5
Answer:
4
Step-by-step explanation:
just 4 -_-
4x^2-20x
=4(x^2-5x)
so the value is 4
By solving the quadratic equation, the value of A is 4
Option (3) is correct.
What is a quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
Given quadratic equation
[tex]4x^{2} -20x+3=0[/tex]
⇒ [tex]4x^{2} -20x=-3[/tex]
By taking 4 as common in [tex]4 x^{2}[/tex] and 20x
⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)
According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)
By comparing equation 1 and 2 we can clearly see that A = 4
Hence, by solving the quadratic equation, the value of A is 4
Option (3) is correct.
Learn more about quadratic equation here
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A 5-pack of granola bars costs $3.55. What is the unit price?
Answer:
0.71 is the unit price
Step-by-step explanation:
all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))
hope this helps!!!!
please mark brainiest<3
Plsss hellppp I give brainliest but earn it
Answer:
3
Step-by-step explanation:
let the no of people who share the meal be x
each member paid $17
total cost of meal=$51
so ur equation is
$17x=$51
x=$51/$17(here $ and $ also gets cancel)
x=3
therefore three menber shared the meal.
Note:when in multiplication when u transfers the number to other side it changes into mltiplication.For example
$17=$51
here $17 is multiplied with x and when we bring $17 to right hand side it divides $51.
Answer:
[tex]17x = 51 \\ \frac{17x}{17} = \frac{51}{17} \\ x = 3[/tex]
Step-by-step explanation:
The error was that the learner subtracted both sides instead of dividing both sides. The student was supposed to divide both sides by 17 to get the answer.
Find the value of x that makes A||B.
1
2
B
4
3
5
L1 = 3x - 160 and 24 = x + 20
x= [?]
Step-by-step explanation:
Measure angle <1=<4 letter f
Then 3x-160=x+20
2x=180
Then x=90
Solve 5x2 = 180 algebraically.
Answer:
x = ±6
Step-by-step explanation:
5x^2 = 180
Divide each side by 5
5x^2/ 5 = 180/5
x^2 = 36
Take the square root of each side
sqrt(x^2) = ± sqrt(36)
x = ±6
Answer: x = 6 or x = -6
Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.
When we take the square root of both sides of an equation,
we must always make sure to use plus or minus!
So x = ±5 and you can write your answer as the solution set {6, -6}.
im confused pls help......
Answer:
the answer is B
Step-by-step explanation:
I think it's B because it was just because the reporter got then skiers from florida
Please help me find the answers
For the mean median mode range mm max q1
Everything has been explained in there
20pts plz hurry
What is the theoretical probability of spinning red on the spinner below? Green Red Blue Yellow
Answer:
the last one.
Step-by-step explanation:
Because there is 4 parts and one of them is red
Answer:
1/4
Step-by-step explanation:
All four areas are equal in area / circumference.
When spinning, each colour has equal probability, so 25%, or 1/4.
PLEASE ANSWER ASAP!!!
Answer:
A
Step-by-step explanation:
john had 77 apples he gave 20 to alex and 15 to jack how many apples does john have left
Answer:
John has 42 apples left
Step-by-step explanation:
77-20-15=42
Hope this helps
What coefficient of d makes the
expressions equivalent?
–1/3}(2.7d + 1.8) =(?-0.6)
Answer:
The coefficient of d that will make equation equal is -0.9
Step-by-step explanation:
Given
Left hand side equation = {–1/3}(2.7d + 1.8)
Simplifying LHS we get -
-0.9 d -0.6
Hence, the coefficient of d that will make equation equal is -0.9
Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in twenty-eight minutes. When
completing the job together, which expression would be used to represent the amount of work done by person 1?
A. 21
B. X/21
C. 21x
D. 1/21
Answer:
C) x/21
Step-by-step explanation:
Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.
nel walks 8/9 mile to the store. how far has she walked when she covered 3/4 of the distance to the store
Short Answer Note: Your teacher will grade your responses to questions 4-8 to ensure you receive proper credit for your answers. 4. Find the value of k. The diagram is not to scale. (I point) I need the answer as soon as possible
What is the solution to the systems of equations?
y= 2/3x + 3
x=-2
Answer:
y = 8/3
Step-by-step explanation:
x = -2
y = 2/(3*-2) + 3
y = 2/-6 + 3
y = -1/3 + 3
y = -1/3 + 9/3
y = 8/3
The circumference of a circle is 11x inches.
What is the area, in square inches, of the circle? Express your answer in terms of x
Show your work.
Answer:
40.6944 is your answer
Step-by-step explanation:
3.6×3.14=11: 3.6×3.6=40.6944 /41
Find the value of the following expression using suitable properties of whole numbers
and name the property used.
789 × 175 – 75 × 789
Given:
The expression is:
[tex]789\times 175-75\times 789[/tex]
To find:
The value of the given expression by using the suitable properties of whole numbers.
Solution:
We have,
[tex]789\times 175-75\times 789[/tex]
Using the commutative property of multiplication, we get
[tex]789\times 175-75\times 789=789\times 175-789\times 75[/tex]
Using the distributive property of addition over multiplication, we get
[tex]789\times 175-75\times 789=789\times (175-75)[/tex]
[tex]789\times 175-75\times 789=789\times 100[/tex]
[tex]789\times 175-75\times 789=78900[/tex]
Therefore, the value of the given expression is 78900.
i just need help pls
Given:
The table of values.
To find:
The function for the given table.
Solution:
From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.
Mathematically, it can be defined as:
[tex]y=1\times x[/tex]
[tex]y=x[/tex]
Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.
[tex]f(x)=x[/tex]
Therefore, the correct option is A.
can you answer this please
Answer:
C
Step-by-step explanation:
y=mx+b where m =slope and b= y intercept
m=y-y/x-x or 3-1/1-0 or 2
B is where the line crosses the x axis or 1
So y=2x+1
A parking lot in the shape of a parallelogram has a length of
300 meters and a width of 150 meters. A scale drawing of the
Sarking lot has a length of 10 centimeters and a width of 5
centimeters
Answer:
C. 1 centimeter = 30 meters
[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]
The picture is above I’ll mark as brainliest.
Answer:
width = 7 cm
Step-by-step explanation:
63 / 9 = 7
Therefore, 7 * 9 = 63cm cube
Answer:
7
Step-by-step explanation:
63 ÷ 9 = 7
63 ÷ 7 = 9
9 x 7 = 63
:D
A jazz concert brought in $167,000 on the sale of 8,200 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
Answer:
x=3800, y=4400
Step-by-step explanation:
X+y=8200 equation 1
15x+25y=167000 equation 2
x=8200-y isolate x in equation 1
15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2
123000-15y+25y=167000
10y=44000
y=4400
solve for x by inserting y value into either equation.
x+y=8200
x+4400=8200
x=3800
Check answer:
15x+25y=167000
15(3800)+25(4400)=167000
57000+110000
167000=167000