y = x² + 4x + 8
Sketch the graph of each function be sure to show your table of values
Answers
Answer:
see attachment
Step-by-step explanation:
We want to sketch the graph of
[tex]y = {x}^{2} + 4x + 8[/tex]
We want to use tables so we choose some few points and plot.
When x=-6,
y=(-6)²+4(-6)+8=20
When x=-4,
y=(-4)²+4(-4)+8=8
When x=0,
y=(-2)²+4(-2)+8=4
When x=0,
y=(0)²+4(0)+8=8
When x=2,
y=(2)²+4(2)+8=20
The table and graph are shown in attachment.
Related Questions
If f(x) = x2 − 6x + 19, complete the square and determine the minimum or maximum value of the function
Answers
Answer:
minimum value = 10
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 19
= (x - 3)² + 10 ← in vertex form
with (h, k) = (3, 10 )
To determine maximum or minimum consider the value of a
• If a > 0 then minimum value of k
• If a < 0 then maximum value of k
Here a = 1 > 0, hence minimum value of k = 10
when considering the cost of paying for college, which statement is NOT true? A) Scholarships have to be paid back. B) Scholarships are awarded based on merit. C) Scholarship can based on grades or athletic ability Eliminate D) Scholarships can be based on an affiliation to an organization.
Answers
Answer:
A)
Step-by-step explanation:
The statement that is the cost of paying for college, which statement is NOT true is option D) Scholarships can be based on an affiliation to an organization.
Scholarships can indeed be awarded based on academic achievements, such as high grades, standardized test scores, or class rankings. Additionally, scholarships can also be available for students with exceptional athletic abilities, rewarding their talents in sports or other physical activities.
D) Scholarships can be based on an affiliation to an organization:
This statement is NOT true. Scholarships can indeed be tied to affiliations with specific organizations, associations, or companies. For example, there might be scholarships offered exclusively to the children of employees of a particular company or members of certain professional organizations. These types of scholarships are often referred to as "affiliation scholarships."
Hence the correct option is (d).
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CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM
Answers
1 - i quadrant
2 - iii quadrant
3- y axis
4- iii quadrant
5- iv quadrant
6- x axis
7- i quadrant
8- ii quadrant
9- iv quadrant
10- ii quadrant
you have 6 reindeer Rudy, Jebediah, Eskiel, Lancer, Gloopin, and Balthazar, and you want to have 5 fly your sleigh. You always have your reindeer fly in a single-file line
Answers
Answer:
Take one reindeer out of the running for pulling the sleigh
Step-by-step explanation:
Find the area of the figure is not drawn to scale 2.7 cm and 5.2 cm
Answers
Answer:
2.7 x 5.2 = 14.04
Step-by-step explanation:
Does the point (273, 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Explain?
Answers
Answer:
No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)
Step-by-step explanation:
The circle centered at the origin that contains the point (0,-4) has equation:
[tex] {x}^{2} + {y}^{2} = 16[/tex]
If the point (273,2) lies on this circle , then it must satisfy this equation:
[tex] {273}^{2} + {2}^{2} = 74533[/tex]
Since
[tex]16 \ne74533[/tex]
The point does not lie on this circle.
A flagpole, 12 m high, is supported by three wires attached from the top of the pole to the ground. Each wire is pegged into the ground 5 m from the pole. How much wires needed to supported the pole?
Answers
Step-by-step explanation:
base=5m
height=12
Pythagoras formula A2+b²=c2
so 12²+5²
144+25=169
so
√169=13m
Answer: 3 wires of 13 m =39m
Base side = 5m
Vertical side = 12m
Hypotenuse = length of one wire.
5^2 + 12^2 = Hypotenuse^2
Hypotenuse = 13m
3 wires of 13m length = 39m
| 57. Macy, Sydney, and Alle are sisters. Macy is liyo
years older than Sydney and Allie is one war
less than half the age of Sydney. If the sum of
their ages is 31, how old is Magy?
Answers
Let S be Sydney's age.
Macy = S + Liyo, Alle = (1/2)S - 1.
Given, S + (S + Liyo) + ((1/2)S - 1) = 31.
Substituting Liyo = S and solving gives Sydney = 10, Macy = 15.
So, Macy is 15 years old.
To solve this problem, let's assign variables to represent each sister's age. Let S be Sydney's age. Given that Macy is Liyo years older than Sydney, Macy's age would be S + Liyo. Since Allie is one year less than half the age of Sydney, Allie's age can be represented as (1/2)S - 1.
The sum of their ages is given as 31, so we can set up the equation: S + (S + Liyo) + ((1/2)S - 1) = 31. Substituting Liyo with S, we can solve for Sydney's age (S). Once we find Sydney's age, we can then find Macy's age by adding Liyo to Sydney's age.
By solving the equation, we find that Sydney is 10 years old. Thus, Macy is 15 years old (10 + Liyo). Therefore, Macy is 15 years old.
Complete Question:
Macy, Sydney, and Alle are sisters. Macy is liyo years older than Sydney and Allie is one war less than half the age of Sydney. If the sum of their ages is 31, how old is Magy?
Identify each pair of angles vertical, supplementary, or complementary
Answers
Answer:
5. V
6. S
7. V
8. S
9. C
Step-by-step explanation:
Vertical angles: Angles facing each other vertically.
Supplementary angles: Angles that add up to 180 degrees, making a straight line.
Complementary angles: Angles that add up to 90 degrees, making a right angle.
A floor plan shows the area of a room is 271.25 feet. If the room is 15.5 feet wide how long is it?
Answers
Divide the area by the width:
271.25 / 15.5 = 17.5
The room is 17.5 feet long
Answer:
255.75
Step-by-step explanation:
i subtracted the numbers, i might be wrong
How to solve 47x82 on an area model
Answers
Answer:
Step-by-step explanation:
Answer:
3854
Step-by-step explanation:
if U=(1,2,3,4,5,6,7,8,9)
A=(1,2,3) is A a subset of U and is U a superset of A.
Answers
Answer:
yes A is a SUBSET of U and U is a SUPERSET of A.
Explanation: use curly braces for the elements.
A is a subset of U since U has the elements {1,2,3,4,5,6,7,8,9}, and A has the elements {1,2,3}
U contains the elements listed in set A, so a is a SUBSET of U
Answer:
Below
Step-by-step explanation:
A is a subset of U because 1,2,3 is in set U.
U is a superset of A as U contains 1,2,3 and other elements.
Write an equation in slope intercept form of the line m=3/2 and contains the point 2,9
Answers
[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-9=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+6[/tex]
Which statements about the cylinder are true? Select two
options.
The radius of the cylinder is 2x units.
The area of the cylinder's base is 1x2 square units.
The area of the cylinder's base is
nex? square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Answers
Answer:
The radius of the cylinder is (1/2)x units
The area of the cylinder’s base is (1/4)πx2 square units
The height of the cylinder is 4x units
Step-by-step explanation:
The complete question is
A cylinder with a base diameter of x units has a volume of πx3 cubic units.
Which statements about the cylinder are true? Check all that apply.
(1) The radius of the cylinder is (1/2)x units.
(2) The radius of the cylinder is 2x units.
(3) The area of the cylinder’s base is (1/4)πx2 square units.
(4) The area of the cylinder’s base is (1/2)πx2 square units.
(5) The height of the cylinder is 2x units.
(6) The height of the cylinder is 4x units
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=\frac{x}{2}\ units[/tex] ----> the radius is half the diameter
[tex]V=\pi x^{3}\ units^3[/tex]
substitute the given values in the formula of volume
[tex]\pi x^3=\pi (\frac{x}{2})^{2}h[/tex]
solve for h
simplify
[tex]x=(\frac{1}{4})h[/tex]
[tex]h=4x\ units[/tex]
Verify each statement
(1) The radius of the cylinder is (1/2)x units
The statement is true
see the explanation
(2) The radius of the cylinder is 2x units.
The statement is false
Because, the radius of the cylinder is x/2 units
(3) The area of the cylinder’s base is (1/4)πx2 square units
The statement is true
Because, the area of the cylinder's base is equal to
[tex]A=\pi r^{2}[/tex]
[tex]r=\frac{x}{2}\ units[/tex]
substitute
[tex]A=\pi (\frac{x}{2})^{2}[/tex]
[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]
(4) The area of the cylinder’s base is (1/2)πx2 square units.
The statement is false
Because, the area of the cylinder's base is equal to
[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]
see the part (3)
(5) The height of the cylinder is 2x units.
The statement is false
Because, the height of the cylinder is 4x units (see the explanation)
(6) The height of the cylinder is 4x units
The statement is true
see the explanation
What is the answer to this math problem? -4(z+3)-4(5-4z)
Answers
Answer:
12z -32
Step-by-step explanation:
-4(z+3)-4(5-4z)
Distribute
-4z -12 -20 +16z
Combine like terms
12z -32
What is the equivalent of (n^6k^14)^3
Answers
Answer:
C
Step-by-step explanation:
if you expand, C is the only option that is equivalent
Answer:
C. (n^15k^35)^2.
Step-by-step explanation:
(n^6k^14)^5
= (n^6)^5 * k^14)^5
= n^30k^70
= (n^15k^35)^2.
Why should you accurately complete a W-4 form any time you start a new
job or change your tax status? *
Answers
You must fill it out accurately so your employer knows how much tax to withhold from your paycheck. The amount withheld is based on your filing status, number of dependents, anticipated tax credits and deductions. If you do not fill it out correctly, you could possibly end up owing taxes when you file your tax return.
Accurately completing a W-4 form when starting a new job or changing tax status is important to ensure the correct amount of federal income tax is withheld from your paycheck.
Explanation:When starting a new job or changing tax status, it is important to accurately complete a W-4 form. This form determines the amount of federal income tax that is withheld from your paycheck. By accurately completing the form, you can ensure that the correct amount of tax is being withheld and avoid underpaying or overpaying your taxes.
Completing the W-4 form involves providing information about your filing status, number of allowances, and any additional amount you want to withhold. The number of allowances you claim on the form affects the amount of tax that is withheld. For example, claiming more allowances means less tax will be withheld from your paycheck, resulting in more take-home pay.
Accurately completing the W-4 form is important because it helps you avoid owing a large amount of tax when you file your tax return and potentially facing penalties for underpayment. It also helps you avoid overpaying and potentially receiving a large tax refund. By reviewing and updating your W-4 form when starting a new job or experiencing a change in tax status, you can ensure that the correct amount of tax is being withheld from your paycheck.
I need to know the area of this trapezoid
Answers
Answer:
28
Step-by-step explanation:
Answer:
The area is 28.
Step-by-step explanation:
A=(a+b/2)h
Plug in the numbers to get (8+6/ 2) 4 to get 28
PLEASE ANSWER QUICKLY
Lloyd used 1/4 pounds of chocolate to make 2/3 gallons of chocolate pudding. If Lloyd's recipe is for 1 gallon of pudding, how many pounds of chocolate will he need to make 1/3 the recipe?
A) 1/4 pounds of chocolate
B) 1/6 pounds of chocolate
C) 1/8 pounds of chocolate
D) 1/12 pounds of chocolate
Answers
Answer:1/8
Step-by-step explanation:
To find the unit rate: multiply the numerator by the reciprocal of the denominator.
unit rate =
1
4
2
3
=
1
4
×
3
2
=
3
8
pounds per gallon
Therefore,
1
3
the recipe:
3
8
×
1
3
=
1
8
pounds of chocolate
What does the value of x have to be so that
(x,-7) and (-1,4) have a slope of 11/4 between them?
Answers
Solution:
The slope of a line is given by formula:
[tex]Slope = \frac{ y_2-y_1}{x_2-x_1}[/tex]
From given,
[tex]slope = \frac{11}4}\\\\(x_1, y_1) = (x, -7)\\\\(x_2, y_2) = (-1, 4)[/tex]
Substituting the values we get,
[tex]\frac{11}{4} = \frac{4+7}{-1-x}\\\\-11 - 11x = 11 \times 4\\\\-11-11x = 44\\\\11x = -11-44\\\\11x = 55\\\\x = 5[/tex]
Thus the value of x is 5
The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. In one rotation of the carousel, how much farther does Maya travel than Kelly? One rotation of the carousel takes 12 seconds. How much faster does Maya travel than Kelly?
Answers
Maya travels [tex]4.19 feet/sec[/tex] faster than Kelly !
Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]
Step-by-step explanation:
Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:
Kelly is riding on the inner ring, which has a radius of 9 feet
Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.
⇒ [tex]Distance = 2\pi r[/tex]
⇒ [tex]Distance = 2(3.14) 9[/tex]
⇒ [tex]Distance = 56.52feet[/tex]
Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .
Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.
⇒ [tex]Distance = 2\pi r[/tex]
⇒ [tex]Distance = 2(3.14) 17[/tex]
⇒ [tex]Distance = 106.76feet[/tex]
Therefore , Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]
Now , Speed of both is give by
⇒ [tex]Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec[/tex] And ,
⇒ [tex]Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec[/tex]
Faster Maya travels = 8.90-4.71 = 4.19
So , Maya travels [tex]4.19 feet/sec[/tex] faster than Kelly !
Y=x squared + 9x + 7
Answers
Answer:
y=(x+9/2)squared-53/4
Step-by-step explanation:
A baseball glove was purchased at a discount of 30% for $84. What was the price of the glove before the discount?
Answers
the the original price be x
[tex]x - \frac{30}{100} x = 84 \\ \frac{100x - 30x}{100} = 84 \\ 70x = 8400 \\ x = \frac{8400}{70} \\ x = 120[/tex]
so the original price was $120
Answer: original price b4 30% discount was $120
Step-by-step explanation:
If at 30% discount, baseball glove is $84
It means 70% = 84
100% = x
Cross multiply
70x = 8400
x = 120
What is (-14+3/2b)-(1+8/2b) equivalent to
Answers
Answer:
-48
Step-by-step explanation:
order of operations
I NEED HELP ASAP Please
Answers
PLS HELP!!!!!!!!!!! A food store has two sacks of rice weighing 26.3 kg each. What quantity of rice was sold during the day, if at the end of the day the total quantity of rice is 35.5 kg?
Answers
Answer:
17.1 kgs
Step-by-step explanation:
There are 52.6 kgs of Rice. 26.3 + 26.3 = 52.6
Take 52.6 and minus 35.5 out of it 52.6 – 35.5 = 17.1
there were 17.1 kgs of rice sold
Solve the system by substitution.
-2x=3y=9
-x=y
Answers
Answer:
-2x=3y (we have 9 more) = 9
-4 = 5 x=-4 =9 as -4+5=1
-2x=3y = 1
= +-4 + 4 = 8 + 1 = 9
y=5
As -2x=3y = 1
= +-4 + 4 = 8 +1 = 9
+ 5 +5 +5 = 15
Step-by-step explanation:
Half of the difference of 25 and 7
Answers
Answer:
9
Step-by-step explanation:
25-7=18
18/2=9
The result of Half of the difference of 25 and 7 would be; 9
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We need to determine the Half of the difference of 25 and 7
The difference between them;
25-7=18
Now the half of the result is;
18/2=9
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what do u get when u double 15
Answers
explanation- 15+15=30
The question is write the name of each term in the blank
938
+347
722
=2007
Answers
Answer:
+
Step-by-step explanation:
938 + 347 = 1285
2007 - 1285 = 722
CHECK:
938 + 347 + 722 = 2007
In this addition problem, the names of each term are 938, 347, and 722. The sum of the terms is 2007.
Explanation:In this addition problem, we need to fill in the blanks with the names of each term. Let's break down the given equation:
938 + 347 + 722 = 2007
The terms in this addition problem are:
938 (first term)347 (second term)722 (third term)2007 (sum of the terms)So, the names of each term are as follows:
First term: 938
Second term: 347
Third term: 722
Sum of the terms: 2007
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