Answer:
y = 17(2)^x
Step-by-step explanation:
If the graph of y = ab^x goes through (0, 17), then
17 = ab*0, or a = 17
Then the function is y = ab^x with a = 17, or
y = 17*b^x and we must find b.
If the graph of y = 17*b^x also goes through (6, 1088), then the following must be true: 1088 = 17*b^6
which reduces to 64 = b^6
Taking the sixth root of both sides, we get 64^(1/6) = b, and so b = 2
Then the desired exponential function is
y = 17(2)^x
The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10
Answer:
y=10
Step-by-step explanation:
Answer:
[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]
Find the length of the arc. Leave the answer in terms of π
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
48 ft
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g
mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft
if def geh solve for x
Answer:
huh???
Step-by-step explanation:
if f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)
Answer:
3, -1
Step-by-step explanation:
just set f(x) = g(x)
x^2 + 3x + 4 = 5x + 7
combine like terms
x^2 - 2x - 3 = 0
factor
(x-3)(x+1)=0
x = 3, x = -1
so, f(x) = g(x) when x = 3 or -1
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Step-by-step explanation:
B3)
z + 127 = 180 {linear pair}
z = 180 - 127
z = 53
y= 55 {Corresponding angles}
w + z + y = 180 {angle sum property of triangle}
w + 53 + 55 = 180
w + 108 = 180
w = 180 -108
w = 72
x = w {Vertiaclly opposite angles}
x = 72
B4) q + 101 = 180 {Linear pair}
q = 180 -101
q = 79
p = 142 {Corresponding angles}
p + s = 180 {linear pair}
142 + s = 180
s = 180 - 142
s = 38
s +q +r = 180 {angle sum property of triangle}
38 + 79 + r = 180
117 + r = 180
r = 180 - 117
r = 63
y + 63 = 180 {linear pair}
y = 180 - 63
y = 117
x = q = {corresponding angles}
x = 79
Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?
(2, –8)
(–8, –2)
(–2, 8)
(8, 2)
Answer:
(-8 , -2)
Step-by-step explanation:
the coordinates of B’ are (-8 , 2)
then
Since B also is the image of B’ through the reflection across the x-axis
then the coordinates of B are (-8 , -2)
Answer:
(-8, -2)
Step-by-step explanation:
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? (9x + 7)(4x + 1)(3x + 4) = 0 1 root 3 roots 4 roots 9 roots
Answer:
Step-by-step explanation:
3 roots
namely -7/9,-1/4.-4/3
Jamar has a points card for a movie theater. He receives 20 rewards points just for signing up. He earns 12.5 points for each visit to the movie theater. He needs at least 95 points for a free movie ticket.
If chicken wire comes in rolls that are 48 inches long, determine the smallest amount of rolls that will be needed to fence the garden
Answer:
No solution is possible from the information provided.
Step-by-step explanation:
If line segment are you is considered the base of a parallelogram are STU what is the corresponding height of the parallelogram
Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.
answer:
Height = Area of parallelogram / base of parallelogram
Step-by-step explanation:
The corresponding height of the parallelogram can be calculated using the general equation below :
Height = Area of parallelogram / base of parallelogram
Kindly input the values you have into the relation to get the corresponding height of the parallelogram.
Solve. -3 + 9x = 24 pls help 15 pts!!! ASAP
Answer:
hope it is helpful to you
-64+k^2=0 solve this using quadratic formula
Answer:
x= +8 or -8
Step-by-step explanation:
x= -b±[tex]\sqrt{b^2-4ac}[/tex] /2a
x=−0±[tex]\sqrt{0^2 negative4(1)( negative 64)}[/tex] /√2(1)
x=−0±0[tex]\sqrt{256}[/tex]/√2
x=−0±256−−−√2
x=−0±162
x=16/2 x=−16/2
x=8
x=−8
Find the slope of the line that contains the points named. G(3, -2), H(7, -2)
A. 0
B. -1
C. Undefined
A. 0
Answer:
Solution given
(x1,y1)=G(3, -2),
(x2,y2)=H(7, -2)
now
slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0
Answer:
0
Step-by-step explanation:
To find the slope
m= ( y2-y1)/(x2-x1)
= ( -2 - -2)/ ( 7-3)
= (-2+2)/(7-3)
= 0/4
Find the mean of the data set:
10, 8, 7, 7, 9, 10
Answer:
jk
Step-by-step explanation:
Answer:
nxgxhdhdjdkdkdjdjjddbdvd f fvfbfbfnfjjfcjjfjfjfjfjdjdjdjdjdjdjdjdjdjjjdjdjfjfjfjfjffjfjfjfjfjf
What is the number of solutions of 4x2 + 12x + 9 = 0?
Α. 1
B. 2
C. 0
D.
no real solution
Answer:
A
Step-by-step explanation:
2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .
Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
Helpppppp!!’nnnnnnn.
Answer:
35.75
Step-by-step explanation:
times 65 by 55%
What is the value of the expression. -(2 1/2 - 7) - 6 1/2?
Answer:-2
Step-by-step explanation:
Hi there. May you please help if you can!
A(-4, 1), B(1, 5), C(4, -3), and D(-2, -3) are the vertices of a quadrilateral. Determine the coordinates of the image vertices after each transformation of ABCD. a) a reflection in the x-axis b) a reflection in the y-axis c) a rotation of 180° cw about the origin d) a rotation of 270° cw about the origin
Show your work
Answer:
hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch
A rectangular prism tank has a base with a length of 40 inches, a width of 35 inches and a height of 12 inches. What is the volume of water in the tank if the tank is filled with water to 75% capacity ?
Answer:
12600 in³
Step-by-step explanation:
Applying,
V = lwh................. Equation 1
Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.
From the question,
Given: l = 40 inches, w = 35 inches, h = 12 inches
Substitute these values into equation 2
V = 40(35)(12)
V = 16800 in³
If the volume of water is 75% the capacity of tank.
Therefore,
Volume of water = 0.75(V)
Volume of water = 0.75(16800)
Volume of water = 12600 in³
Please I need help with this!!!!!!
Answer:
Step-by-step explanation:
1) Step 4: Marc has converted radical form to exponent form
Step 5: He has evaluated the value of the radical
3)
[tex]x = \sqrt[3]{8}[/tex]
Here, 3 is index and 8 is radicand.
Prime factorize 8 and for every 3 numbers we can take one number outside the radical
Solution:
[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]
4) No,my equation does not have an extraneous solution.
My solution, satisfies the equation
A. 0.1
B. 0.5
C. 2
D. 5
Answer:
5 I think
Step-by-step explanation:
Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho
Answer:
0.5
Step-by-step explanation:
So we know the orginal is 10 in size.
The new is 5 in size.
We can think of this as 10 : 5
To find the exact scale, we can divide both by the GCF.
The GCF is the greatest common factor between two numbers.
In this case, the GCF would be 5, now lets divide:
10/5 : 5/5
=
2 : 1
So we can see the ratio is 2 to 1.
Now, the scale is not 2.
The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.
To find the scale, you must divide the new scaled value by the orginal value:
1 / 2
=
1/2
So this is your scale factor.
There is actually another way to do this as well, which is quicker.
Take the new value, 5, and divide it by the orginal value, 10:
5/10
=
1/2
Either way, you get 1/2 as your answer.
Hope this helps!
On a map, 1/4 inch represents 400 miles. How long would a line on a map need in order to represent 3200 miles?
Answer:
2 inches
Step-by-step explanation:
1/4 = 400
3200/400 = 8
8 x 1/4 = 2
A line on a map need in order to represent 3200 miles would be 2 inches long.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
On a map, 1/4 inch represents 400 miles.
1/4 = 400
3200/400 = 8
8 x 1/4 = 2
A line on a map need in order to represent 3200 miles would be 2 inches long.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
Just B please. It’s not 4:3 tho please can someone helo
Answer:
The workout ratio of the online sales to shop sales is 1:3
Step-by-step explanation:
Given:
A jewelry shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops website. The rest were sold in a High Street shop.
To find:
Work out the ratio of online sales to shop sales.
Solution:
Total no necklaces = 240
Necklace sold on website = 180
Remaining necklace sold via street = 240 - 180 = 60
Ratio = 60 : 180 = 1 : 3
A. The vertical scale is too high.
B. The vertical scale should not start at zero.
C. The bars are not the same width.
D. The bars are not the same height.
a rectangular solid box measures 2.17 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth
Answer:
117.18 yards
Step-by-step explanation:
480in=40ft
2.17x4.05x40=351.54tf
351.54ft=117.18yrds
Using the triangle diagram below in the rules for special right triangles, discover the four missing links and choose them from the available choices:
Answer:
The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]
Step-by-step explanation:
By Geometry, we get the following equivalencies:
[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)
[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)
[tex]b = 4\sqrt{3}[/tex]
[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)
[tex]c = 4\sqrt{6}[/tex]
[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)
[tex]d = 6\sqrt{2}[/tex]
Which ordered pair is the best approximation of the solution?
Answer:
D. (0.6, 1.3)
Step-by-step explanation:
we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.
the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.
the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).
so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.
therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]
Question 1 = y = -5x + 50
On the graph, c = 50 [ y = mx + 50 ]
30 - 15 = 15
7 - 4 = 3
15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]
ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50
If x = 9, y = (9 x -5) + 50, = -5
y = -5
Question 2 = y = 2.5x + 5
c = 5
m = 5/2 = 2.5
y = 2.5x + 5
when y = 30 > x = 10
30 = 2.5x + 5
30 - 5 = 25
25 = 2.5x
x = 25/2.5
x = 10
Question 3 = y = -10x + 50
c = 50
m = (30 - 20) / 1 = 10
y = -10x + 50
when x = 4 > y = (-10 x 4) + 50
y = -40 + 50
y = 10