Answer:
Let h(x) = y
y = 4^(x+3) -2
For x intercept let y = 0
2 = 4^(x+3)
2= 2^2(x+3)
1 = 2x +6
2x = -5
2x = -5
Divide by 2
x = -5/2
The x intercept for the function is ( -5/2, 0)
Hope this helps.
Answer:
(-2.5,0)
Step-by-step explanation:
[tex]h(x)=4^{x+3}-2[/tex]
Since the x intercept of a graph is when the y value is 0:
[tex]0=4^{x+3}-2 \\\\2=4^{x+3} \\\\2=(2^2)^{x+3} \\\\2^1=2^{2x+6} \\\\1=2x+6 \\\\2x=-5 \\\\x=-2.5[/tex]
Hope this helps!
Haley’s work evaluating (-2)8 squared is shown below.
Which statement best describe Haley’s first error?
A.She used the wrong number as a repeated factor and should have
B.She used the wrong number as a repeated factor and should have evaluated
C.She misinterpreted the exponential form and should have multiplied –2 and 8.
D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge
Answer:
D
Step-by-step explanation:
she made a sign error when multiplying and should have had 256 as an answer
Answer:
the answer is D
Step-by-step explanation:
I'm taking the test now
Please help me find the answer to this sequence? :)
Answer:
2....6......10........14.......18
Step-by-step explanation:
Add 4 each time
When you multiply a function by -1 what is the effect on its graph?
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
Answer:
c
Step-by-step explanation:
ape x
Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
Answer:
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative
Surface area (picture) help me pls
Answer:
108 units²
Step-by-step explanation:
The surface area is the sum of the areas of all the faces
There are 3 rectangular faces ( base, back and sloping face )
There are 2 congruent triangular faces ( sides )
area of base = 8 × 4 = 32 units²
area of sloping face = 8 × 5 = 40 units²
area of back = 8 × 3 = 24 units²
area of triangles = 2 × [tex]\frac{1}{2}[/tex] × 4 × 3 = 4 × 3 = 12 units²
Thus
surface area = 32 + 40 + 24 + 12 = 108 units²
y =1/3 x – 4 3y – x = –7
Answer:
There are no solutions.
Step-by-step explanation:
3y - x = - 7
Put y as 1/3x - 4.
3(1/3x - 4) - x = - 7
1x - 12 - x = -7
0 - 12 = -7
-12 = -7
No solutions.
Solve for X
A) 9
B) 16
C) 4
Answer:
B) 16
Step-by-step explanation:
8/x= cos 608/x= 1/2x= 8*2x= 16Answer:
B. 16
Step-by-step explanation:
CAH = Adjacent/Hypotenuse
cos60=8/x
xcos60=8
x= 8/cos60
x=8/0.5
x= 16
Which statement is true regarding the graphed functions?
f(4) = g(4)
f(4) = g(-2)
f(2)= g(-2)
f(-2)=g(-2)
Suppose that g(x) = x2 - 5. Which statement best compares the graph of g(x)
with the graph of f(x) = x??
A. The graph of g(x) is shifted 5 units right.
Ο Ο Ο
B. The graph of g(x) is shifted 5 units up.
C. The graph of g(x) is shifted 5 units down.
o
D. The graph of g(x) is shifted 5 units left.
Answer:
Step-by-step explanation:
The vertex, or work, form of a parabola is
[tex]y=(x-h)^2+k[/tex], where h and k are the coordinates of the vertex. If the parabola has the equation
[tex]y=(x-2)^2+5[/tex], the vertex is sitting at (2, 5)---> (h, k). h = 2, k = 5. If we have nothing in a set of parenthesis with the x, there is no side to side movement. Our parabola does not have any parenthesis around the x, so no side to side movement. But it does have a -5. That means that the parabola has moved DOWN 5 units from its starting position of (0, 0). -k means the parabola moves down; +k means the parabola moves up.
So our parabola has shifted 5 units down, choice C.
A rich farmer's Will states that 1/4 of his property should be given to his son, 2/3 of the remainder to his internal family 5/6 of what remained to his wife and the remainder which valued GH¢ 3000 to his local church. Find the value of his property.
Answer:
GH¢72,000
Step-by-step explanation:
Let total property=x
1/4 of x = his son
1/4x=son
Total remaining
x-1/4x= 3/4x
2/3 of 3/4x=internal family
2/3×3/4x
=6/12x
=1/2x
Remainder=3/4x-1/2x
=1/4x
5/6 of what remained to his wife
5/6 of 1/4x
5/6×1/4x
=5/24x
Remainder=GH¢ 3000 to his local church
1/4x-5/24x=GH¢3000
1/24x=GH¢3000
x=GH¢3000÷1/24
=GH¢3000×24/1
=GH¢72,000
The value of his property=
GH¢72,000
What is the approximate percent decrease from 1,865 to 1,240? Percent Decrease = StartFraction Amount of Decrease over Original Amount EndFraction
Answer:
1865=100%
1240=less
1240/1865*100
=66,48%
100%-66,48
=33,5 (percent decrease)
Answer:
33.5%
Step-by-step explanation:
Find the 96th term of the arithmetic sequence -16, -28, -40, ...
Answer:
1124.
Step-by-step explanation:
The common difference (d) is -16 - (-28) = 12, ( also -28 - (-40) = 12).
The nth term of an A.S. is a1 + d(n - 1) where a1 = first term, d=common difference.
so the 96th term of the given A.S. is:
-16 + 12(96 - 1)
= -16 + 12*95
= 1124.
-1156Answer:
Step-by-step explanation:
Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).
A. y=-3x + 9
B.
-1
y = -X-1
3
C.
1
y=-x+1
D. y = 3x - 1
Answer:
Option (B)
Step-by-step explanation:
In the figure attached,
A straight line is passing through two points (0, 2) and (3, 1).
Slope of this line ([tex]m_1[/tex]) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{0-3}[/tex]
= [tex]-\frac{1}{3}[/tex]
Let the slope of a parallel to the line given in the graph = [tex]m_2[/tex]
By the property of parallel lines,
[tex]m_1=m_2[/tex]
[tex]m_2=-\frac{1}{3}[/tex]
Equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the parallel line which passes through (-3, 0) and having slope = [tex]-\frac{1}{3}[/tex] will be,
[tex]y-0=-\frac{1}{3}(x+3)[/tex]
[tex]y=-\frac{1}{3}x-1[/tex]
Option (B). will be the answer.
14
[tex]14 \geqslant x - 8[/tex]
Answer:
Inequality form
x </ 22
Interval Notation
(-∞,22]
Step-by-step explanation:
Solve for x by simplifying both sides of the inequality, then isolating the varible
Can I have help plz ASAP
Answer:
A: 4
B: -2
Step-by-step explanation:
calculate dy/dx:
A: 1 to the right and 4 up: gradient is 4/1 = 4
B: 2 to the right and 4 down: gradient is 4/-2 = -2
The sides of ∆ABC inscribed in a circle are equidistant from the center. Tricia says that ∆ABC must be equilateral. Which explains whether Tricia is correct?
Answer:
Tricia is correct because the sides of the triangle are congruent since they are equidistant from the center of the circle.
Step-by-step explanation:
Given that the sides of ΔABC inscribed in a circle are equidistant from the center. This implies the triangle is drawn within the circumference of the circle with a center.
Bisecting the three sides of the triangle shows that the three bisectors intersect at a point which is the center of the circle, and the lines are equidistant to this point. This proves that the length of the sides of the triangle are equal, so that the triangle is an equilateral triangle. Therefore, Tricia's statement is correct.
If f(x) = 6x -4, what is f(x) when x = 8?
A.2
B.16
C.44
D.52
Step-by-step explanation:
[tex] f(x) = 6x -4 \\ f(8) \\ f(x) = 6(8) - -4 \\ f(x) = 48 - 4 \\ f(x) = 44
[/tex]
Answer:
C.44
Step-by-step explanation:
Basically, the question is asking for you to plug in 8 for x into the equation, since the function of x is represented by the equation. Therefore, plug in 8 into the equation like this: 6(8)-4
Multiply 6 and 8, then subtract 4 from the product to get your answer
Write -1/19, 7/4, -4/7 from least to greatest
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?
Answer:
[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]
and it is the special factor product that leads to a difference of squares
Step-by-step explanation:
The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]
is a product of the form:
[tex](a-b)\,(a+b) = a^2-b^2[/tex]
which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex] are the factors of the difference of squares [tex]a^2-b^2[/tex].
In our case, the product:
[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]
Answer:
B
Step-by-step explanation:
Which is the correct rearrangement of the following
formula, making t the subject?
w = vt-6
t = (w - 6)? t = (w + 6)?
t = w2 - 6
t = w2 +6
Answer:
[tex]t = \frac{w + 6}{v} [/tex]
[tex]vt - 6 = w \\ vt = w + 6 \\ \frac{vt}{v} = \frac{w + 6}{v} \\ t = \frac{w + 6}{v} [/tex]
Answer:
t as a subject
Answer:
t = w+6 / v
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
O -8
O -5
O 0
O 6
Answer:
[tex]y = 0[/tex]
Step-by-step explanation:
Given
Line segment JK
[tex]J = (1,-10)[/tex]
[tex]K = (7,2)[/tex]
Ratio; [tex]m:n= 5:1[/tex]
Required
Find the coordinates of y
From the question; the formula to use is
[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex]
We have that; m = 5; n = 1
[tex]J =(x_1, y_1) = (1,-10)[/tex]
Hence, [tex]y_1 = -10[/tex]
[tex]K = (x_2,y_2)= (7,2)[/tex]
Hence, [tex]y_2 =2[/tex]
Substitute the above values in the given formula;
[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex] becomes
[tex]y = (\frac{5}{5+1})(2 - (-10)) + (-10)[/tex]
Solve brackets
[tex]y = (\frac{5}{6})(2 +10)) - 10[/tex]
[tex]y = (\frac{5}{6})(12)) - 10[/tex]
Open bracket
[tex]y = \frac{5}{6} * 12 - 10[/tex]
[tex]y = \frac{5*12}{6}- 10[/tex]
[tex]y = \frac{60}{6}- 10[/tex]
[tex]y = 10 - 10[/tex]
[tex]y = 0[/tex]
Answer: 0
Step-by-step explanation:
Select all angle measures for which sin(∅) = - ( (√2) /2)
a) 3π/4
b) 5π/4
c) 7π/4
d) 9π/4
e) 13π/4
I do not understand the steps to take, thank you for any help
Answer:
b) 5π/4
c) 7π/4
e) 13π/4
Step-by-step explanation:
sin θ = -½√2
There's really no algebra to be done here. There are two ways you can solve. One, you can use a calculator. Two, you can memorize your unit circle.
Either way, it helps to draw the unit circle. sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2. This happens at two places: θ = 5π/4 and 7π/4.
Next, we need to check the options that are greater than 2π.
9π/4 is the same as π/4.
13π/4 is the same as 5π/4.
So the three correct answers are 5π/4, 7π/4, and 13π/4.
Answer:
B
C
D
Step-by-step explanation:
a = 7cm, b = 14cm
Q1. Calculate the area and perimeter of the following ring where
(i)
Area of Ring:
(ii)
Perimeter of Ring:
Answer:
A =7 B=14
Step-by-step explanation:
AREA OF RING
PERIMETER OF RING
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
Find the Y-intercept of the line graph. (Please help!)
Answer:
-2
Step-by-step explanation:
The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.
The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.
Answer: -2
Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.
Notice that the graph shown here hits the y-axis at -2.
So the y-intercept of this graph is -2.
what are the exact values of a and b?
The exact value of a and b is 5 and 5√3 respectively. Thus option D) is correct
From triangle ABC
We have AB = 10 ; And angle A = 30°
Trigonometry is the branch of mathematics that deal with study of triangles.
Now,
cos30= AC/AB
√3/2=b/10
b=5√3
Sin30 = BC/AB
1/2 = a/10
a = 5
Thus, the required value is a = 5, b = 5√3
Learn more about trigonometry here:
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Answer:
its the last option
Step-by-step explanation:
Help? Please ...........
Answer:
It is a diagnal line that goes through (0,0) and (1,1) and has a slope of 1
Step-by-step explanation:
if the perimeter of regular hexagon is 10 cm, what is the radius of the circle curcumscribing the polygon?
Answer:
60
Step-by-step explanation:
hexagon is 6 sided shape. 10 * 6=60
Find the total surface area of this triangular prism
Answer:
I got 936 cm² as an answer
I hope it right
I hope it helps
The total surface area of the given triangular prism is 936 cm².
What is Triangular Prism?Triangular prism is a three dimensional object which has three rectangular sides and two triangular bases.
So it has three side faces and two base faces.
Triangular prism has two triangular sides and three rectangular sides.
Area of one triangular side = 1/2 bh, where b is the base and h is the height.
Area of two triangular sides = 2 × 1/2 b h = b h
= 24 × 18
= 432 cm²
Area of a rectangular side = l b, where l is length and b is breadth.
Area of one rectangular side = 30 × 7 = 210 cm²
Area of second rectangular side = 24 × 7 = 168 cm²
Area of third rectangular side = 18 × 7 = 126 cm²
Total surface area = 432 cm² + 210 cm² + 168 cm² + 126 cm²
= 936 cm²
Hence the total surface area of the triangular prism is 936 cm².
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Can somebody PLEASE help me with this :) ??
Answer:
Ab, De
Step-by-step explanation:
You need the base and the height in order to find out if the triangles are similar