Write a recursive formula for 16, 9, 7, 2, 5
Solve by taking square roots: x^2 - 40 = 9
Which of the following sets represents the range of the function shown?
{(−3, 4), (5, 11), (9, −1), (10, 13)} (5 points)
{−3, 5, 9, 10}
{−1, 4, 11, 13}
{(4, −3), (11, 5), (−1, 9), (13, 10)}
{−3, −1, 4, 5, 9, 10, 11, 13}
Answer:
it's B guys
Step-by-step explanation:
The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to the power of x. The straight line f of x joins ordered pairs 4, 1 and 2, negative 3 and is extended on both sides. The straight line p of x joins the ordered pairs 0, 2 and 1, negative 5 and is extended on both sides. Courtesy of Texas Instruments Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points) Part B: Write any two solutions for f(x). (3 points) Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)
Part A: Intersection at [tex]\((-13/4, -83/4)\)[/tex].
Part B: Two solutions for [tex]\( f(x) \): (0, -11) and (5, 14).[/tex]
Part C: Solve [tex]\( p(x) = g(x) \)[/tex] graphically for the Point of intersection
Part A: Solution to the Pair of Equations (p(x) and f(x)):
The solution to the pair of equations represented by [tex]\( p(x) \) and \( f(x) \)[/tex]is the point of intersection. From the information provided, it seems that the intersection point is [tex]\((-13/4, -83/4)\).[/tex]
Part B: Two Solutions for [tex]\( f(x) \)[/tex]:
1. [tex]\( (0, -11) \)[/tex]
2. [tex]\( (5, 14) \)[/tex]
Part C: Solution to [tex]\( p(x) = g(x) \)[/tex]:
To find the solution to [tex]\( p(x) = g(x) \), set \( p(x) = 7x + 2 \)[/tex] equal to [tex]\( g(x) = 1 + 1.5^x \). Solve for \( x \)[/tex] to determine the point of intersection between [tex]\( p(x) \) and \( g(x) \)[/tex]. The solution to this equation provides the [tex]\( x \)[/tex] coordinate, and substituting it into either [tex]\( p(x) \) or \( g(x) \)[/tex] gives the [tex]\( y \)[/tex] coordinate. The justification lies in the graphical intersection of the functions.
Note: It's essential to examine the graph for precise details, as visual inspection can help confirm the solutions.
For such more questions on point of intersection
https://brainly.com/question/29185601
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In the above figure, AE = 2, CE = 3, and DE = 4. What is the length of BE?
Answer:
its 6 i think
Explanation:
if you have the choices 6, 8, 12, 5.. then 6 is ur answer. why?
well u do CE x DE = AE x BE
(3)(4)= (2)(BE)
12=2x
12÷2= 6
*WILL GIVE BRAINLIEST* (08.03)Consider the following set of equations:
Equation C: y = 2x + 8
Equation D: y = 2x + 2
Which of the following best describes the solution to the given set of equations?
No solution
One solution
Two solutions
Infinite solutions
Answer:
No solution
Step-by-step explanation:
This is because either way you do it it still doesnt make any sense and doesent line up correctly. THis is high school workand im doing it in 8th grade
Answer:
no solution
Step-by-step explanation:
because it just is
What is the remainder of (x3 - 6x2 - 9x + 3) ÷ (x - 3) A. -25 B. -52 C. -51 D. -17
the correct answer in C. -51 hope this helps you
An athlete eats 45g of protein per day while training. How much protein will she eat during 25 days of training?
Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after time t:
t (hours) 1 2 3 4 5
f(t) (mg) 150 90 54 32.4 19.4
Ken was administered 200 mg of the same antibiotic. The amount of antibiotic f(t) in his body after time t is shown by the equation below:
f(t) = 200(0.976)t
Which statement best describes the rate at which Maureen's and Ken's bodies eliminated the antibiotic?
Maureen's body eliminated the antibiotic faster than Ken's body.
Maureen's body eliminated the antibiotic at the same rate as Ken's body.
Maureen's body eliminated the antibiotic at half of the rate at which Ken's body eliminated the antibiotic.
Maureen's body eliminated the antibiotic at one-fourth of the rate at which Ken's body eliminated the antibiotic.
Answer:
(A)Maureen's body eliminated the antibiotic faster than Kens body
Step-by-step explanation:
We already have the table for Maureen, so lets figure out the table for Ken. We've been given the formula 200(0.976)^t.
we already know our starting point is 0, 200
first we substitute 1 into t, which would look like this 200(0.976)^1
So we would solve the power of 0.976 to the power of 1, which is just 0.976. so now we do 200 x 0.976 which results in 195.2. on the chart, the point would be (1, 195.2). now lets solve for the rest doing the same steps.
(2, 1905.5)
(3, 181.4)
(4, 135.5)
(5, 01.9)
Compare 9 ⋅ 104 to 3 ⋅ 102.
9 ⋅ 104 is 3 times larger than 3 ⋅ 102.
9 ⋅ 104 is 30 times larger than 3 ⋅ 102.
9 ⋅ 104 is 300 times larger than 3 ⋅ 102.
9 ⋅ 104 is 3,000 times larger than 3 ⋅ 102.
Answer:
9×10⁴ is 300 times greater than 3×10²
Step-by-step explanation:
guy above me's work. thanks to him we get this answer :)
To the nearest degree what is the measure of each exterior angle of a regular octagon
Answer:
The measure of exterior angle of regular octagon is 45°
Step-by-step explanation:
Given the regular octagon we have to find the measure of exterior angle of regular octagon.
The formula to find the measure of exterior angle of regular octagon is
[tex]\frac{360}{n}[/tex]
where n is number of sides.
Number of sides in octagon=8 sides
Hence, the measure of exterior angle is
[tex]\frac{360}{8}=45^\circ}[/tex]
the minute hand of a clock is 9.5cm long, How far does the tip of the hand travel in one day?
The width of a rectangular poster is its length.the area of the poster is 128 square feet what is the width of the poster
since the length and width are the same, it is actually a square
area of a square is S^2
sqrt(128) = 11.3137
round off as needed
What are the possible values of x in x2 + 3x + 3 = 0?
If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second prism?
(14 + 13) + 2 = 29 Choose an equivalent addition sentence that shows the associative property of addition. 29 = (14 + 13) + 2 (14 + 13) + 2 = 29 14 + (13 + 2) = 29 14 + 13 + 2 = 29
Final answer:
An equivalent addition sentence showing the associative property of addition in the given example is 14 + (13 + 2) = 29, where the grouping changes but the sum remains the same, rooted in the commutative property of addition.
Explanation:
The question is about the associative property of addition which essentially states that when you add three or more numbers, the way in which you group them doesn't affect the sum. To illustrate with the given example $(14 + 13) + 2 = 29$, an equivalent sentence that demonstrates the associative property would be 14 + (13 + 2) = 29. Here, the grouping has changed, but the resulting sum remains the same. The reason this works is due to the commutative property of addition which tells us that changing the order of the numbers we're adding doesn't change the sum, expressed as A + B = B + A. This universality is showcased by the idea that regardless of 'real-world context' or 'complexity of calculation', the same rules apply.
The square root of 32, expressed in terms of a simple radical is
The length of a rectangle is twice its width. if the area of the rectangle is 162 cm2 , find its perimeter.
2, -4, 8, -16, . . . find the next two numbers in the pattern and describe the pattern.
The legs of a right triangle have lengths of 3 and 4. What is the length, to the nearest tenth, of the altitude to the hypotenuse?
A yogurt with 1 topping is sold for $3.65. Additional toppings can be added for $0.45 cents each. If y represents the total cost and x represents the total number of toppings added, which function rule describes this pattern? A. y=0.45x+3.65 B. y=3.65+0.45(x-1) C.y=3.65+0.45(x+1) D.3.65(x-1)+0.45
since the 3.65 price includes 1 topping when you calculate the cost of the additional toppings it would be x-1
so the equation would be y=3.65 +0.45(x-1)
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? y − 5 = −3(x + 2) y − 5 = 3(x + 2) y − 11 = −3(x − 2) y − 11 = −3(x + 2)
Hello : let A(0,5) B(-2,11)
the slope is : (YB - YA)/(XB -XA)
(11-5)/(-2-0) = 6/(-2)
the slope is : -3
Answer: [tex]y-11=-3(x+2)[/tex]
Step-by-step explanation:
Given points : (0, 5) and (−2, 11)
Slope of the line passing through given points .
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-5}{-2-0}=\frac{6}{-2}=-3[/tex]
Thus, slope of line passing through given points m=-3
We know that the equation of a line passing through points [tex](x_0,y_0)[/tex] with slope 'm' is [tex](y-y_0)=m(x-x_0)[/tex]
Thus, equation of a line passing through (−2, 11) with slope m=-3 will be
[tex](y-11)=(-3)(x-(-2))\\\Rightarrow\ y-11=-3(x+2)[/tex]
Hence, the equation of line is [tex]y-11=-3(x+2)[/tex]
What is 3y+5x=-15 written in slope-intercept form
hey broskey your answer is option B :)
how to make d the subject of V=ldh
The sum of two numbers is 47 and the difference is 25 . what are the numbers?
Three bags of of potatoes and four cases of corn cost $40. Five bags of potatoes and two cases Of corn cost $34. Find the cost of one bag of potatoes and the cost of one case of corn. Show your work
Write an inequality for the situation.
all real numbers y that are less than –3 or greater than 18
A) y < –3 or y < 18
B) y < 18 or y > –3
C) –3 < y < 18
D) y < –3 or y > 18
What is the area of the sector bound by the center of the circle and arc CD in the circle below? Radius is 6 ft and central angle is 30 degrees.
The answer is 9.42 for the ones wondernig what it was! I calculated it and took the exam and it was correct.
help please
Given the vertices of ∆ABC are A (2,5), B (4,6) and C (3,1), find the vertices following each of the transformations FROM THE ORIGINAL vertices:
a. Rx-axis
b. Ry = 3
c. T<-2,5>
d. T<3,-6>
e. r(90◦, o)
Answer with explanation:
Vertices of ∆ABC are A (2,5), B (4,6) and C (3,1).
Plotting the points on coordinate plane
a.→ [tex]R_{x}[/tex]
We have to find vertices of image , that is ΔA'B'C' when ∆ABC is reflected across x axis.
The Distance from each of the vertices of ∆ABC from X axis will be same as Perpendicular distance from each of vertices of ∆A'B'C' from X axis.
Result is shown in the image 1.
b.→[tex]R_{y}=3[/tex]
We have to find the image of vertices of triangle through line, y=3.
The Distance from each of the vertices of ∆ABC from line,y=3 will be same as Perpendicular distance from each of vertices of ∆A'B'C' from line, y=3.
Result is shown in the image 2.
c. →T(-2,5)
Translation of vertices of triangle ABC by 2 units left and 5 units up.
[tex]A(2,5)_{-2,5} \rightarrow (2-2,5+5)\rightarrow (0,10)\\\\B(4,6)_{-2,5} \rightarrow (4-2,6+5)\rightarrow (2,11),\\\\C(3,1)_{-2,5} \rightarrow (3-2,1+5)\rightarrow (1,6)[/tex]
d.→T(3,-6)
Translation of vertices of triangle ABC by 3 units right and 6 units left.
[tex]A(2,5)_{3,-6} \rightarrow (2+3,5-6)\rightarrow (5,-1)\\\\B(4,6)_{3,-6} \rightarrow (4+3,6-6)\rightarrow (7,0),\\\\C(3,1)_{3,-6} \rightarrow (3+3,1-6)\rightarrow (6,-5)[/tex]
e.→Rotation by 90° with respect to Origin
When rotated in clockwise direction ,vertices of ΔABC changes by the rule ,that is (x,y)→(y,-x) and in anticlockwise direction ,(x,y)→(-y,x).
In clockwise direction
A(2,5)→A"(5,-2)
B(4,6)→B"(6,-4)
C(3,1)→C"(1,-3)
In Anti clockwise direction
A(2,5)→A'(-5,2)
B(4,6)→B'(-6,4)
C(3,1)→C'(-1,3)
Image is depicted below.
What would be the point of discontinuity in the following function f(x)=x^2+5x+6/x+3