Answer:
D. (-2, -7)
Step-by-step explanation:
I find the easiest way to locate the vertex or x-intercepts is to use a graphing calculator (see below). The vertex is the extreme point on the graph. For this function, it is (-2, -7), choice D.
__
The axis of symmetry of the graph is the vertical line such that every point on the left is a mirror image of the corresponding point on the right. Here, that axis of symmetry is x=-2. (It is shown as a dashed orange line on the graph.)
The location of the axis of symmetry for quadratic ...
y = ax^2 +bx +c
is x = -b/(2a).
For your function,
y = 2x^2 +8x +1
the coefficients are a = 2, b = 8, c = 1. This means the axis of symmetry is ...
x = -b/(2a) = -8/(2(2)) = -2
The vertical line at x=-2 is the axis of symmetry.
The vertex is on the axis of symmetry. Its y-value is found by evaluating the function for x = -2 (the x-value of the axis of symmetry).
y = 2·(-2)^2 +8(-2) +1 = 2·4 -8·2 +1 = 8 -16 +1
y = -7 . . . . at the vertex
So, the (x, y) coordinates of the vertex are (-2, -7).
Answer:
D. (-2, -7)
Step-by-step explanation:
y= 2x²+8x+1
The vertex is max or min of the graph, for the given function it is
x = -b/2a for a>0
so x= - 8/4= -2
for the point of x= -2
y= 2*4 - 16 + 1 = - 7
So vertex is (-2, -7), choice D.
Adult tickets to a concert sold at $8, while student tickets cost $5.
If 70 tickets were sold for a total of $440, how many adult tickets were sold?
40 tickets
30 tickets
55 tickets
15 tickets
The number of adult tickets sold was 30 tickets
The first step is to write out the parameters given in the question;
Adult ticket sold at the concert is at the price of $8
Student tickets sold cost $5
A total of 70 tickets were sold at $440
Therefore the number of adult tickets sold can be calculated as follows;
= 8(5)
= 40
70-40
= 30
Hence the number of adult tickets sold is 30 tickets
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For what values of the variables are the following expressions defined? A) 5y+2 B)8/y C)1/x+7 D)2b/10-b
Answer:
A) All real numbers
B) All real numbers except y = 0
C) All real numbers except x = -7
D) All real numbers except b = 10
Step-by-step explanation:
An expression is defined at all those points at which it does not give the value equal to [tex]\infty[/tex] or does not give the zero by zero form.
i.e. [tex]\frac{0}{0}[/tex] Numerator and Denominator both having zeroes.
Now, let us have a look at the given expressions:
A) 5y+2
Here, Denominator is 1. So, there is no constraint on the value of y.
Hence, at all Real Numbers, the expression is defined.
[tex]B)\ \dfrac{8}{y}[/tex]
Here, denominator is y,
At [tex]y = 0[/tex], the value of expression will approach towards [tex]\infty[/tex]
Hence, this expression is defined at All Real numbers except y = 0
[tex]C)\ \dfrac{1}{x+7}[/tex]
Here, zero by zero form is not possible.
Let us check the value of x where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
x+7=0
At x = -7, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
Hence, the expression is defined at All real number except x = -7
[tex]D) \dfrac{2b}{10-b}[/tex]
Here zero by zero form is not possible.
Let us check the value of b where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
10-b=0
At b = 10, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
Hence, the expression is defined at All real number except b = 10
I need help I don’t understand it and I’m dumb, so help please ??
Answer:
The answer is D: 37%
Ignore this answer its wrong, I think. Yeah you're gonna need someone else to figure this out. How do you delete answers on here?
Please can anyone Help ASAP
Answer:
Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.
Answer:
See below.
Step-by-step explanation:
She is wrong because 3 times the perimeter of one triangle is the sum of 9 sides of the triangles.
In the shape we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape, - the perimeter is only the length of 5 sides of a triangle.
So the perimeter is less than the sum of the sides of the 3 triangles.
Can you Help me plz!!
Answer:
1) 5.9
2) 8.1
3) 54
Step-by-step explanation:
A is opposite, so we have sine 36=a/10
sine 36(10)=a
a=5.9
B is adjacent, so we have cosine 36=b/10
cosine 36(20)=b
b=8.1
Angles of a triangle add to 180
we have a angle of 36 and a right angle which is 90
36+90=126
180-126=54
Any answers thank youuuu
Answer:
[tex]g =7^{2} -w^{2}[/tex]
Step-by-step explanation:
[tex]w = 7 -\sqrt{g} \\re arrange\\\sqrt{g} = 7-w\\square both side\\\sqrt{g}) ^{2} =(7-w)^{2} \\g = 7^{2} -w^{2}[/tex]
What pair of factors of −42 has a sum of 1? PLEASE HELP
Answer:
-6 and 7
Step-by-step explanation:
-6 and 7 multiply to be -42.
When you add the two values: -6+7=1
Their sum is 1!
Hope this helps
Answer:
2, -1
Step-by-step explanation:
The 16 factors of -42 are
1, 2, 3, 6, 7, 14, 21, 42
-1, -2, -3, -6, -7, -14, -21, -42
The pair of factors that have a sum of 1 is
2, -1
2 + (-1)
=1
3, -2 also
7, -6 also.
Find square root of the following numbers by long division method
1).2025
Answer:
Hope this helps. Good luck
Step-by-step explanation:
what is equivalent to
Answer : The expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].
Step-by-step explanation :
The given expression is:
[tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex]
As we know that:
[tex]\sqrt[4]{x} =x^{\frac{1}{4}}[/tex]
So, by solving the above expression, we get:
[tex]\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}[/tex]
By multiplying the power of 9, we get the following expression.
[tex]\Rightarrow 9^{(\frac{1}{8}x)}[/tex]
Hence, the expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].
Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Answer:
25/8
Step-by-step explanation:
Given That:
R = 8x+4y
X= 8
R = 30.
So, 8 x 8 +4y = 30
Simplify, Rearrange and solve.
64 + 4y = 30
4y = 30/64 = 15/32
y = 15/32 divided by 4
y = 15 / 32 x 1/4
y = 15/(32 x 4) = 15/128
hope this helps
If the mean of m, n, s, P and q is 12.
Calauate the mean of (m + 4), (n-3),(s+6)
(p-2) and (q+8).
Answer:
Step-by-step explanation:
We have,
Mean = Σx/n
or 12= (m+n+s+p+q)/5
or, m+n+s+p+q = 60 ...........(i)
Again,
New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]
or, New Mean = {(m+n+s+p+q)+13}/5
or, New Mean = (60+13)/5 = 73/5 [from eq (i)]
∴ New Mean = 14.6 Ans.
Simplify x^2(y^3)^4 / xy^5 = x^a times y^b
Answer:
xy^7 - x^a y^b = 0
There are 39 students.The number of students that play football is twice as much as the number of students that play volleyball.9 students play both sports.WHAT IS THE NR OF STUDENTS THAT ONLY PLAY FOOTBALL?
Answer:
17
Step-by-step explanation:
There are a total of 39 students.
students.
The number of students that play football is twice as much as the number of students that play volleyball.
Let the number that plays volleyball be x then the number that plays football will be 2x. This we have
x + 2x = 39
3x = 39
x = 13
The total number that plays volleyball is 13.
The total number that plays football will be 2 x 13 = 26
Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.
Find the area of the regular
pentagon.
5.5 cm
8 cm
Answer:
Area = 110 cm²
Step-by-step explanation:
You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.
1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.
[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]
2. Multiply this area by 5 to get the area of the entire pentagon.
A = 22(5)
A = 110
PLEASE HELP IMAGE ATTACHED!!
Answer:
Step-by-step explanation:
The slope formula is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The slope intercept form of a line is
y = mx + b
The standard form of a line is
Ax + By = C
The point-slope form of a line is
y - y1 = m(x - x1)
Step-by-step explanation:
1. Slope Formula
[tex]m=\frac{rise}{run}= \frac{y_2-y_1 }{x_2-x_1 }[/tex]
2. Slope-Intercept Form
[tex]y=mx+b[/tex]
3. Standard Form
[tex]Ax+By=C[/tex]
4. Point Slope Form
[tex]y-y_1=m(x-x_1)[/tex]
Multiply 3x(2x-1) by following these steps
Answer:
[tex]6x^2-3x[/tex]
Step-by-step explanation:
[tex]3x(2x-1)[/tex]
[tex]3x(2x)+3x(-1)[/tex]
[tex]6x^2+-3x[/tex]
After apply distributive property, required solution is,
⇒ 6x² - 3x
We have tp given that,
An expression to simplify,
⇒ 3x (2x - 1)
We can simplify it by distributive property,
⇒ 3x (2x - 1)
⇒ 3x × 2x - 3x × 1
⇒ 6x² - 3x
Therefore, The required solution is,
⇒ 6x² - 3x
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Can I get the awnser to this?
Answer: 17.8 yds
Step-by-step explanation:
The length of the arc of the ENTIRE circle is the circumference (C = 2πr).
We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.
The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]
Given r = 17, θ = 60°
[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]
i have 5 cards, the first says 2, the fifth says 18, what are the second, third and forth numbers?
Answer:
second card = 4 third card = 10 fourth card = 14
Step-by-step explanation:
1.To find the third card:18+2=20
20÷2=10.
2.To find the second card:10-2=8
8÷2=4
3.To find the fourth card:10+4=14
Soda is sold in aluminum cans that measure 4.83 inches in height and 2.6 inches in diameter. What is the volume? Use 3.14 for pi and round to the hundredths place.
Answer:
4.83*2.6=45
Step-by-step explanation:
The volume of the cylindrical soda can is 25.64 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, we need the diameter and the height of the cylinder.
The volume will be calculated as:-
V = ( π / 4 ) d²l
We have d = 2.56 inches and h = 4.83 inches
V = ( π / 4 ) x ( 2.56 )² x ( 4.83)
V = 25.64 cubic inches.
Hence, the volume is 25.64 cubic inches.
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How do the surface area and volume of a sphere differ in the label of the answer? a. The volume of a sphere is expressed in square units and the surface area of a sphere is expressed in cubic units. c. The volume and surface area of a sphere are both expressed in cubic units. b. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units. d. The surface area of a sphere cannot be determined because a sphere is a round shape. Please select the best answer from the choices provided
Answer:
B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.
Step-by-step explanation:
y = 2 is a polynomial function.
True or false
Answer:
false
Step-by-step explanation:
Look at this information.
[tex]x \leqslant 0[/tex]
1)Give an example of what the value of x could be.
2) Give a different example of what the value of x could be.
Answer:
1) 0
2) -1
Step-by-step explanation:
x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on
pls help i need help pls
Answer:
1. x = 32°
2. x = 28°
3. x = 15°
4. x = 30°
5. x = 40°
6. x = 20°
Step-by-step explanation:
All the angles should add up to 90° as they are complementary.
Work out the value of x please
Answer:
X=67.5
Step-by-step explanation:
360-90=270
Then I do
270/4=67.5 to find the answer of each X
(4 is how many X is in the 270 degree)
find the value of the expression 0.01y^4 if y=3
Answer:
0.81
Step-by-step explanation:
[tex]0.01 \times {3}^{4} = 0.01 \times 81 = 0.81[/tex]
which of the following best describes the number below?
Answer:
perfect square
Step-by-step explanation:
It is not positive because it is negative.
Answer:
D. IMAGINARY
Step-by-step explanation:
That is an imaginary number.
This is the rule for how much fabric she needs to buy. • Measure from your waist to the finished length of the pants • Double this measurement • Add 8 inches 1. Amy's measurement from her waist to the finished length of the pants is 35 inches. How many inches of fabric does she need?
Answer:
She needs 78 inches of fabric.
Step-by-step explanation:
The rule for the amount of fabric that needs to be bought is:
[tex]\text{fabric} = 2*x + 8[/tex]
Where "x" is the distance from the waist to the finished length of the pants. Since Amy's is 35 inches, the amount of fabric is:
[tex]\text{fabric} = 2*35 + 8\\\text{fabric} = 70 + 8\\\text{fabric} = 78 \text{ inches}[/tex]
She needs 78 inches of fabric.
If f(x)=3x+10x and g(x)= 2x-4, find (f+g)(x)
Answer:
=3^x +12x -4
Step-by-step explanation:
f(x)=3^x+10x
g(x)= 2x-4,
(f+g)(x) = 3^x+10x+ 2x-4,
Combine like terms
=3^x +12x -4
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Answer:
5
Step-by-step explanation:
Work Shown:
L = (0,1)
N = (6,1)
m = slope of LN
m = (y2-y1)/(x2-x1) is the slope formula
m = (1-1)/(6-0)
m = 0/6
m = 0
Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)
Someone please help me with this it’s Algebra
Answer:
D. a shift to the right
Step-by-step explanation:
As my teacher use to say, you run the opposite way of your crazy ex. So, if the number is negative, it moves to the right. If it's positive, it moves to the left. If it's a power, it goes up or down.
// have a great day //
Answer:
D, shift to the right
Step- by-step explanation:
When equations or functions have numbers that are subtracting it's shifted to the right
When they are adding they are shifted to the left
Hope this helps!