The exponential function that goes through the points (0, 14) and (3, 896) is y = 14·3ˣ. This function has a base of 3 and a coefficient of 14.
An exponential function in the form y =abˣ is a function
where y is equal to a multiplied by b raised to the power of x.
To find the function that goes through the points (0, 14) and (3, 896),
We can write the following equation to find the base of the exponential function that goes through the points (0, 14) and (3, 896):
b³ = 896/14
We can then solve for b by taking the cube root of both sides of the equation to get:
b = 3
Now that we know the base of the function, we can use the point (0, 14) to find the value of the coefficient a.
Since the x-value of this point is 0, we can plug 0 in for x in the exponential function y=abˣ to get:
y = ab⁰ = a
Since the y-value of the point (0, 14) is 14, we can set this equal to a to solve for the value of a:
a = 14
So, the exponential function is y = 14·3ˣ
Learn more about exponential function here:
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A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.
geometry ^
please help me
.Distribute and combine like terms: −4(7r + 7)
Answer:
−28r−28
Step-by-step explanation:
−4(7r+7)
=(−4)(7r+7)
=(−4)(7r)+(−4)(7)
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Hello again, hehelol12.
PQ is equal to CB. So the length of PQ must be 9.
Angle PQR is equal to CBA. Therefore the measure of angle PQR is 46.
I hope this helps!
Step-by-step explanation:
since they are congruent triangles, all your have to done is the compare the longest side of the first triangle is equal to that of the other; the smallest side of the first triangle is equal to that of the second, and so for the corresponding angles
using the above method,
Answer:
a) from mere observation line PQ is the longest therefore it is equal to the length of the longest side of the other triangle. so line PQ = 9
b) again, ang PQ is the smallest, using the method, ang PQ = 46 degrees
but mind you, you could use a ruler to measure the length to find the longest more accurately.
Which is the vertex point of the equation y = (x - 1)2 - 16
Answer:
The vertex is at (h, k), which here is (1, -16).
Step-by-step explanation:
Compare the given y = (x - 1)2 - 16 (which should be y = (x - 1)^2 - 16 )
to y = (x - h)^2 - 16.
We can readily see that h = 1 and k = -16.
The vertex is at (h, k), which here is (1, -16).
Caleb has at least $5. Which inequality is correct?
c < 5
or
c < 5
Answer:
It would be c is greater than or equal to five
Step-by-step explanation:
c≥5
5≤c
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Four expressions are shown:
6(5x + 3)
6(6x + 2)
36x + 12
30x + 18
Which two expressions are equivalent to 6(5x + 2 + x)?
Answer:
B 6(6x + 2)
C 36x + 12
Step-by-step explanation:
I just did this question myself and I got it correct.
Help with 2 3 4 and 5 please!
Answer:
Number 2 is A
Number 3 is (5, -4)
Number 4 is (5, -4)
Number 5 is (4, 2)
Step-by-step explanation:
Answer:
B, maybe (5,-4), (5,-4), (4,2)
Step-by-step explanation:
Translate just means to move, and vertex T just means the dot labeled "T". Move just that point three to he left and two to the right is (-5,0). I would give (5,-4) as the answer for three, but I'm not too sure and don't wanna spread false information... onto number 4. (3,1) and the form is (x,y) Right is positive, so ADD 2 to 3. Down is negative, so SUBTRACT 5 to 1. You now have (5,-4). 2 multiplied by 2 is 4 and 1 multiplied by 2 is 2. (4,2)
PLEASE PLEASE HELP!! I NEED THE ANSWERS ASAP
Answer:
Pictures below showing the answer :)
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Angle x is what I call "point to point" with the angle that measures 95 degrees. Because of this, they are vertical (the vertex of an angle makes a "v"; hence, the reason I call them point to point). Vertical angles are congruent. That means that they have the same measure. If x is vertical to an angle that measures 95 degrees, then x also measures 95 degrees.
Answer:
x is 95 degrees.
Step-by-step explanation:
i need help with this
Answer:
151
Step-by-step explanation:
Answer:
151
Step-by-step explanation:
For all values of x,
f(x) = 2x-3 and g(x) = x²+1
a) Find fg(x)
Simplify and give your answer in the form ax² + b
b) Find gf(x)
Simplify and give your answer in the form ax² + bx+c
Answer:
For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)
(f o g)(x) = f(g(x))
= 2 (g(x)) + 3
= 2( -x 2 + 1 ) + 3
= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)
Step-by-step explanation:
please help me answer this!
Answer:
right
Step-by-step explanation:
tell me if i was wrong
Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)
What is the volume of this rectangular prism?
Jasper built a dollhouse for his younger sister.
A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)
Answer:
It's A :)
Also can i please have brainliest :)
Answer:
A
Step-by-step explanation:
3x+5y=27.50 & 6x+3y=27
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Answer:
what do u want me to do withthis question
can u edit then I’ll edit
Step-by-step explanation:
find the value of each variables
Answer:
X=11
y=22
Step-by-step explanation:
[tex]tan60\frac{11\sqrt{3} }{x} \\\\\sqrt{3} =\frac{11\sqrt{3} }{x} \\\\x=\frac{11\sqrt{3} }{\sqrt{3} }[/tex]
⇒x=11
[tex]Sib 60=\frac{11\sqrt{3} }{y} \\\\\frac{\sqrt{3} }{2} =\frac{11\sqrt{3} }{y} \\\\y=\frac{11\sqrt{3} }{\sqrt{\frac{3}{2} } }[/tex]
⇒ y=22
hope it helps....
Van kept track of the number of hours that he spent at the
pool each week for several weeks. He spent 6, 2, 6, 3, and
3 hours.
What is the mean number of hours that Van spent at the pool each week?
A. 20 hours
B. 4 hours
C. 3 hours
D. 5 hours
Answer:
B. 4 hours
Step-by-step explanation:
add every number up
6+2+6+3+3= 20
then divide by the number of numbers you used to add with.
20÷5=4
4 hours
1. Determine the lateral and total surface
area of the pyramid.
(I need full explanation on how to solve
Answer:
Laterial surface area: 73 cm²Total surface area: 93 cm²Step-by-step explanation:
The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.
The laterial surface area LSA is:
LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)
LSA = 4 • 8 + 5 • 8.2
LSA = 73 cm²
The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:
SA = LSA + 4 • 5
SA = 73 cm + 20 cm²
SA = 93 cm²
Please help, solve for x
Answer:
x = 6
Step-by-step explanation:
10x = 5 x 12 = 60
x = 6
Please help me with this it was due yesterday.
Answer:
domain= infinity on both sides. range= -3<y<infinity
Step-by-step explanation:
hope this helps
Have a nice day :)
PLS HELP ME PLS ANYONE I HAVE TO SUBMIT THIS AS SOON AS POSSIBLE PLS PLS PLS!!!!!!!!!!!!!!!!!
Answer:
Side length = 5.8 in
Perimeter = 29
Area = 58 in²
Step-by-step explanation:
✔️Find Side length using trigonometric ratio:
Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)
So:
Reference angle = 36°
Adjacent side = 4 in.
Opp = ½ of the side length of the polygon = x (let's represent this as x)
Thus, apply TOA:
Tan 36 = Opp/Adj
Tan 36 = x/4
4*Tan 36 = x
x ≈ 2.9 in (nearest tenth)
Side length = 2*x = 2*2.9 = 5.8 in
✔️Perimeter = 5*side length
Perimeter = 5*5.8 = 29 in
✔️Area = ½aP
Where,
a = 4 in
P = 29
Plug in the values
A = ½*4*29
A = 58 in²
Help please, i give brainlist
PLEASE HELPP ILL GIVE BRAINLIEST
5th grade math. correct answer will be marked brainliest
Answer:
70/9
Step-by-step explanation:
You can rewrite 8 pounds as 72/9.
Take away 2/9 and you are left with 70/9.
Answer:
[tex]\frac{2}{9} x \frac{8}{1} = \frac{16}{9} = 1 \frac{7}{9}[/tex]
Solve the following quadratic equations using factoring.
a. x2 + 10x + 24 = 0
Answer:
x = - 6, x = - 4
Step-by-step explanation:
Given
x² + 10x + 24 = 0 ← in standard form
(x + 6)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 4 = 0 ⇒ x = - 4
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please help me find the missing angles for each problem
Answer:
1) L1 = 123
L3 = 57
2) L1 = 49
L3 = 131
3) L2 = 116
L4 = 64
4) L1 = 108
L2 = 72
5) L3 = 69
L4 = 111
6) L3 = 124
L4 = 56
Is 80, 150, 170 a pythagorean triple?
Answer:
Yes
Step-by-step explanation:
80² + 150² = 170²
6400 + 22500 = 28900
28900 = 28900
. Find the sum of the infinite series, if it exists.
-270+135-67.5+⋯
Answer:
-180
Step-by-step explanation:
135/-270 = -1/2
67.5/135 = -1/2
The series is an infinite geometric series with r = -1/2
Since -1 < |r| < 1, the series has a sum
and equals a/(1 - r) a = -270
S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180