Answer: D
Step-by-step explanation:
I solved it:)
evaluate the function at each specified
value of the independent variable and simplify
Answer:
Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:
1) q(x) = 1/(x^2 - 9)
a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9
b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:
[tex]\lim_{x \to \ 3} q(x) = infinity[/tex]
c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)
2) q(t) = (2*t^2 + 3)/t^2
a) q(2) = (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4
b) q(0) = (2*0^2 + 3)/0^2 = 3/0
Again, we can not divide by zero, this is simmilar to the case 1.b
c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2
Given the two relations, which one is a function and why is the other one not a function
Answer:
The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first one is a function, and the second one is not a function.
Because in a function, each input only match ONE output.
Which equation represents the perpendicular
bisector of AB whose endpoints are A(8,2) and
B(0,6)?
Answer:
y = ½x + 2
Step-by-step explanation:
We are given the coordinates of the endpoint as;A(8,2) and
B(0,6)
The midpoint coordinates will be;
((8 + 0)/2, (2 + 6)/2) = (4, 4)
The slope of the midpoint using gradient formula will be;
m = (6 - 2)/(0 - 8)
m = 4/-8
m = -2
Thus, slope of a line perpendicular to the midpoint is;
m_p = -1/m
m_p = -1/-2
m_p = 1/2
Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;
y - 4 = ½(x - 4)
Multiply both sides by 2 to get;
2y - 8 = x - 4
Add 8 to both sides to get;
2y - 8 + 8 = x - 4 + 8
2y = x + 4
Divide through by 2 to get;
y = ½(x + 4)
y = ½x + 2
What must the missing length be for the two figures to be similar
Answer:
30
Step-by-step explanation:
First do 25/20 to get the proportional rate which is 1.25
then multiply 24 by 1.25 to get 30
The missing length PQ must be 30 for the two figures to be similar.
For two figures to be similar, their corresponding sides must have proportional lengths. Lets denote the two given quadrilaterals as PQRS and ABCD. To find the missing length PQ, we need to determine the proportional relationship between the corresponding sides of Quad PQRS and Quad ABCD.
The corresponding sides are:
PQ and AB
QR and BC
RS and CD
PS and AD
Since Quad PQRS ~ Quad ABCD, we can set up proportions for the corresponding sides:
[tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}} = \frac{{RS}}{{CD}} = \frac{{PS}}{{AD}}\)[/tex]
Given:
QR = 25
RS = 25
AB = 24
BC = 20
DA = 28
Let's use the proportion [tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}}\)[/tex] to find PQ:
[tex]\(\frac{{PQ}}{{24}} = \frac{{25}}{{20}}\)[/tex]
Cross-multiply to solve for PQ:
[tex]\(PQ \times 20 = 24 \times 25\)\\\\\(PQ = \frac{{24 \times 25}}{{20}}\)\\\\\(PQ = 30\)[/tex]
Therefore, PQ must be 30 for the two figures to be similar.
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8(4y - 3) + 2(y - 5)
Answer:
34y-34
Step-by-step explanation:
Expand:
32y-24+2y-10
=34y-34
Answer:
34y-34 or 34(y-1) whichever is better for you specifically
Step-by-step explanation:
distribute so 32y-24+2y-10 then simplify like terms so 34y-34 or 34(y-1)
Can someone help me ????
What are the next 3 terms in the sequence 2.0,3.5,5.0,6.5?
Answer:
8.0, 9.5, 11.0
It is increasing by 1.5.
Step-by-step explanation:
Answer:
8.0
explanation; the answer is 8.0
Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number
Answer:
600
Step-by-step explanation:
Please help!!!!!!!! #1
Answer:
its d , because your distributing the 5 into what's in the parenthesis .
If h(x)=2(x^2+5)+10, what is the value of p(13)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]h(x) = 2( {x}^{2} + 5) + 10 [/tex]
[tex]h(x) = 2 {x}^{2} + 10 + 10[/tex]
[tex]h(x) = 2 {x}^{2} + 20[/tex]
_________________________________
[tex]h(13) = 2 \times ({13})^{2} + 20[/tex]
[tex]h(13) =( 2 \times 169 )+ 20[/tex]
[tex]h(13 )= 338 + 20[/tex]
[tex]h(13) = 358[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28.
Percents
Total
33One-third%
33One-third%
33One-third%
100%
$0.28
$0.28
$0.28
What was the wholesale price of each water bottle?
$0.56
$0.84
$0.93
$1.12
Answer:
Step-by-step explanation:
0.84 * 33 1/3% = 0.28
The answer is $0.84
Answer:
0.84
Step-by-step explanation:
took the test edge 2021
Which set of values could be the side lengths of a 30-60-90 triangle? A. {5,10,10 sqrt 3} B. {5,5 sqrt 2 ,10} C. {5,5 sqrt 3, 10} D. {5,10,10 sqrt 2}
9514 1404 393
Answer:
C. {5, 5√3, 10}
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
Multiplying these ratios by 5 gives the set of side lengths ...
(5, 5√3, 10)
Answer: 5, 5√3, 10
Step-by-step explanation:
HURRYYYYY!!!!
Which system of linear inequalities is graphed?
29% of 100 tiles is how many tiles
Answer:
29
Step-by-step explanation:
ez
Answer:
29
Step-by-step explanation:
29% of 100
= 29/100 *100
= 29
Given f(x) = 17x - 18, find x when f(x) = 33.
Answer:
f(x) = 17x - 18
y=17x-18
y=17(33)-18
y=561-18
y=543
f(x)=543
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Plug in 33 for f(x) into the first equation:
33 = 17x - 18
17x = -51
x = -3
A man invests some money at 10% interest for 1 year
After 1 year it is worth £3300
How Much did he invest?
FOR BRAINLY PLEASE INCLUDE A STEP BY STEP
Answer:
investment=£3000
Step-by-step explanation:
let ; principal amount (investment)=p ,
simple interest = p*t*r/100
£3300-p=p*1*10/100
(3300-p)100/10= p
33000-10p=p
33000=11p
33000/11 = p
£3000=p
Please help! This is my last question on the homework and it’s taking forever for me to do
Answer: y = x + 40
Step-by-step explanation: y = x + 40
First of all, the line starts at the y-axis on 40, which means the y-intercept is 40.
Second, the slope, Rise over run. y2 - y1 / x2 - x1, which is = to 50 - 40 divided by 15 - 5. That is 10 over 10 or 10/10. The slope of that is 1 so the slope is just x.
There are a few possible answers and they are
y - 40 = 1(x - 0)
y - 50 = 1(x - 10)
y - 60 = 1(x - 20)
=================================================
Explanation:
Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)
Use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
m = (50-40)/(10-0)
m = 10/10
m = 1
The slope is 1.
Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.
------------------
Since your teacher wants the answer in point slope form, we'll use this as our template
y - y1 = m(x - x1)
where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.
------------------
If we use (x1,y1) = (0,40), then we get
y - y1 = m(x - x1)
y - 40 = 1(x - 0)
which is one possible answer
------------------
If we use (x1,y1) = (10,50), then we get
y - y1 = m(x - x1)
y - 50 = 1(x - 10)
which is another possible answer
------------------
If we use (x1,y1) = (20,60), then we get
y - y1 = m(x - x1)
y - 60 = 1(x - 20)
which is another possible answer
------------------
So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.
In order to prove a conjecture is always true, you must show?
A.) a formal proof
B.) a counterexample
C.) several true examples
D.) an informal proof
In order to prove a conjecture is always true is formal proof.
We have given that,
A.) a formal proof
B.) a counter-example
C.) several true examples
D.) an informal proof
We have to prove a conjecture is always true
In order to prove a conjecture is always true, you must show formal proof.
What is the conjecture?
A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.
Therefore the first option is correct.
In order to prove a conjecture is always true is formal proof.
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Answer: A- a formal proof
Step-by-step explanation:
just is
Solve -0.8(10 - x) = 36
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Linear equation.
Solving we get as,
-0.8(10-x)=36
=> -8 + 0.8x = 36
=> 0.8x = 36+8
=> 0.8x = 44
=> x = 44÷0.8
=> x = 55
x= 55.
The solution of the expression will be;
⇒ x = 55
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;
The expression is,
⇒ -0.8 (10 - x) = 36
Now,
We can solve the expression as;
The expression is,
⇒ -0.8 (10 - x) = 36
⇒ - 0.8 × 10 + 0.8x = 36
⇒ - 8 + 0.8x = 36
⇒ 0.8x = 36 + 8
⇒ 0.8x = 44
⇒ x = 44 / 0.8
⇒ x = 55
Thus, The solution of the expression will be;
⇒ x = 55
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I Tried 140 And 80. Those answer were incorrect. Right Answer gets 5 stars and a branliest. THANK YOU SO MUCH!!
Answer:
a 60
Step-by-step explanation:
Answer:
The Answer Is 60 I Had This Test Already.
Step-by-step explanation:
At the end of a snow storm, Emily saw there was a lot of snow on her front lawn. The
temperature increased and the snow began to melt at a steady rate. There was a depth
of 15 inches of snow on the lawn when the storm ended and after 4 hours, the depth
of snow was down to 12 inches. Write an equation for S, in terms of t, representing
the depth of snow on Emily's lawn, in inches, t hours after the snow stopped falling.
Answer: S
Submit Answer
Oh
Answer:
[tex]y = \frac{4}{3}x + 15[/tex]
Step-by-step explanation:
•First we must find out how many inches of snow melted so we can find the slope.
15 inches - 12 inches = 3 inches
•The snow melts 3 inches every 4 hours. This statement can be rewritten as:
[tex]\frac{4}{3}[/tex]
•We know that the snow started at 15 inches so that will be our y-int.
•Now we can start combining these terms to create an equation.
[tex]m = \frac{4}{3}[/tex]
[tex]b = 15[/tex]
•All we have to do is substitute these terms for the corresponding variables.
[tex]y = mx +b[/tex] → [tex]y = \frac{4}{3}x + 15[/tex]
[tex]y = \frac{4}{3}x + 15[/tex]
Is this proportion true or false? 5/9 = 9/8 *
Answer:
False
Step-by-step explanation:
have a great dayyy
Answer:
False
Step-by-step explanation:
What is the slope of the line given by the function f (x) = 7 – 2x?
Answer:
I am not certain but I think it is -2 give that a try and hope it helps!
What is the ratio of blue paint to red paint in the mixture?
Answer: I think the answer is 5:2 Hope This Helps
It's 5:3
Hoped I helped!
Have a wonderful day-
Bye!
Solve this equation.
24 + 0.44x = 19 + 1.69x
Answer:
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 + 0.44x - 1.69x = 19
-1.25x = 19 - 24
-1.25x = -5
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 - 19 = 1.69x - 0.44x
5 = 1.25x
1.25x = 5
x = 5/1.25
= 4
which two fractions would make 1/8 plz help
Answer:
1/3 and 5/15
Step-by-step explanation:
I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.
Answer:
C Subtraction property of equality
Step-by-step explanation:
You are subtracting 21 from both sides in step 3
Answer:
I would guess C
Step-by-step explanation:
I hope I'm correct, good luck.
Which trigonometric identity is the reciprocal of the cos identity?
A. cosec
B. sec
C. sin
D. cot
Step-by-step explanation:
The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
Which equation represents the line that passes through points B and C on the graph?
Answer:
y= -2x-6
Step-by-step explanation:
Answer:
y = -2x - 6
Step-by-step explanation:
Took the quiz on Edge. Have an amazing day! ^w^
Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.
25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60
Answer:
35+5x<_60
Step-by-step explanation:
x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget
what the last guy was trying to say is
25 + 5x ≤ 60
btw this is correct i just did the test