Answer:
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.
Step-by-step explanation:my
my sister which is in college helped me with one.
Answer: its D
Step-by-step explanation:
y=-3x + 4
y = 3x - 2
What solution does this system have? How do you
know? Justify (explain).
Answer:
(1,1)
Step-by-step explanation:
Since both the equations equal y, we can replace one of them with y.
y=-3x + 4
3x - 2 = -3x + 4
Add 3x to both sides.
6x - 2 = 4
Add 2 to both sides of the equation.
6x = 6
x = 1
Now that we know what x is, we can plug that value into one of the original equations.
y = 3x -2
= 3(1) - 2
= 3 - 2
= 1
4. Evaluate the expression for the given value of each variable.
5a2 -7 -b3
when a = -2 and b = -3
please help!
NO LINKS!!!
Answer:
-18
Step-by-step explanation:
5a2-7-b3
[tex]5*a*2-7-b*3[/tex]
[tex]5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3[/tex]
Therefore, -18 is your answer.
Hope this helped! :)
The probability distribution of a game is shown in the table. Find the expected number of points won per play. Round to the nearest tenth if needed.
a) 5.7 b) 4.5 c) 4.7 d) 5
Answer:
4.5
Step-by-step explanation:
I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.
The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel
between the 6 and the 12, if the length of the second hand is 6 inches?
Arc length
Recall that Circumference
- 360°
3 inches
O 6 x inches
12 x inches
0 24 inches
Answer:A. 3 inches
Step-by-step explanation: :)
Answer:
b and c
Step-by-step explanation:
100 points brainliest!!! plz answer all to the best of your ability no links they don't work for me
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
1. Part I: The degree of a polynomial is the (greatest / least) of the degrees of its terms. (Circle the term that correctly completes this definition.) (1 point)
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents (decreasing / increasing) from left to right. (Circle the term that correctly completes this rule.) (1 point)
Part III: For each polynomial, determine the degree and write the polynomial in descending order. (4 points: 2 points each)
A. –4x2 – 12 + 11x4 B. 2x5 + 14 – 3x4 + 7x + 3x3
2. Use addition and subtraction to simplify the following polynomials.
A. Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Step 1: Rewrite the polynomials without the parentheses. (1 point)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
B. Subtract polynomials: (3x – 5 – 7x2) – (–2 + 6x2 – 5x)
Step 1: Rewrite the polynomials without the parentheses. Remember to multiply each term in the second parentheses by –1. Show your work. (2 points)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
3. Use the FOIL method to multiply binomials.
Part I: When multiplying binomials, the FOIL method helps you to organize the multiplication of each term of the first binomial by each term of the second. Fill in each blank with the word used to show how the binomials' terms are multiplied. (2 points: 0.5 point each)
F
O
I
L
Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work. (8 points: 2 points each)
A. (3x + 7)(2x – 5) B. (x2 + 2x)(5x2 – 3x)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
C. (5x + 4)(5x – 4) D. (x2 – 7)(x2 – 4)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
4. Use the distributive property to multiply the trinomial by the binomial.
Circle the first term in the trinomial, multiply it by each term in the binomial, and place each result in the blank spaces provided. Repeat this process for the second and third terms of the trinomial until all of the spaces are filled in. Finally, in the space provided beneath the blanks, simplify the expression by combining like terms and arranging the terms from highest to lowest order. Show your work. (4 points)
(3x2 – 2x + 7)(x2 + 2x)
______ + _______ + _______ + _______ + ______ + _______
5. Use the vertical method to multiply two trinomials.
Step 1: Multiply the top trinomial by the last term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 2: Multiply the top trinomial by the middle term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 3: Multiply the top trinomial by the first term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 4: Add the three partial products to find the final answer. Place the result at the bottom. (1 point)
6. Sabrina is making an open box from a piece of cardboard that has a width of 12 inches and a length of 18 inches. She'll form the box by making cuts at the corners and folding up the sides. If she wants the box to have a volume of 224 in3, how long should she make the cuts?
Part I: Each dimension (width, length, and height) of the finished box can be represented by a polynomial expression. If the height is x inches, what is the length in terms of x? (2 points)
Height = x
Width = 12 – 2x
Length =
Part II: The formula for volume is v = l • w • h. Use the polynomial expressions from Part I to write an equation to represent the volume of the box. Simplify on the right side by multiplying the polynomials and writing the answer in descending order. Show your work.
HINT: First multiply the binomials representing length and width. Next, multiply the resulting trinomial by the expression representing height. (3 points)
v =
Part III: The length of each cut at the corners is represented by x. To make a box, x must fall in a certain range of values. For example, x cannot be 15 because that would make the flap longer than the width of the box. Identify one reasonable value of x. Why did you choose that value? (2 points)
Part IV: Use the polynomial equation you wrote in Part II to find the volume of the box for each value of x. Show your work. (5 points)
Answer:
Part I: The degree of a polynomial is the greatest of the degrees of its terms.
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.
Part III: A. -4x² + 11x - 12, degree = 2,
B. 5x³ + 4x + 14, degree = 3.
Step-by-step explanation:
Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),
e: degree of is 5.
Thus, in part I, the correct option is 'greatest'
Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.
Thus, in part II the correct option is 'least'
Part III: A.
∵ -4x² has the highest power in the polynomial.
⇒ Degree = 2,
Also, in the polynomial descending order of degrees,
2 > 1 > 0
⇒ polynomial in descending order,
B.
Combining like terms,
∵ 5x³ has the highest degree,
⇒ Degree = 3,
Also, the order of the degrees in the polynomial is,
3 < 2 < 1 < 0
Thus, the polynomial in descending order,
Answer: I had trouble with this one too.
Step-by-step explanation:
Equation of the line pls help
I need help with short sides of the triangles on Pythagorean theorem
Answer:
5
Step-by-step explanation:
13² - 12² = 25
√25 = 5
Have a great day <3
I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!
Answer:
Step-by-step explanation:
To find each probability you will state the probability of the first event happening and multiply it by the chance of the second event happening.
P(2 Nickels): 6/10 x 5/9 = 30/90 (1/3 chance)
P(2 Dimes): 4/10 x 3/9 = 12/90 (4/30 chance)
P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)
I hope this helps :D
HHEEEEEELLLLPPPPPP ANSWER THIS QUICKLYYYYY
Answer: 27
Step-by-step explanation:
[tex]a_{1}=6\\a_{2}=a_{n-1}+7=a_{2-1} +7=a_{1} +7=6+7=13\\a_{3}=a_{n-1}+7=a_{3-1} +7=a_{2} +7=13+7=20\\a_{4}=a_{n-1}+7=a_{4-1} +7=a_{3} +7=20+7=27[/tex]
Solve each equation mentally
Help with this ( math)
Hey I know this is kind of a lot but can someone pls help.
Answer:
J) x = 6; slope is undefined
Step-by-step explanation:
Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.
Please please help please please ASAP
A box contains three cards. On one card there is a question mark (Upper Q), on another card there is a pear (Upper P), and on the third card there is a moon (Upper M). Two cards are to be selected at random with replacement. Complete parts (a) through (e) below. a) Determine the number of sample points in the sample space.
Complete question :
Determine the probability that two pears are selected The probability is(Simplity your answer.)
d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected
Answer:
(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;
Step-by-step explanation:
Given :
Marking on card :
Question mark = Q
Pear = P
Moon = M
Selecting two cards with replacement :
Sample space :
_____ Q ____ P _____ M
Q ___QQ ___QP ___ QM
P ___QP ____PP ___ MP
M__ QM ____PM ___MM
(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;
1/9 ;
2/9
P(selecting 2 pears) = (PP)
P(p) = required outcome / Total possible outcomes = 1 / 9
Card containing a pear and then a question mark ;
(PQ or QP).
P(p) = 1/3 ; P(Q) = 1/3
P(PQ) + P(QP)
(1/3 * 1/3) + (/3 * 1/3)
1/9 + 1/9
(1 + 1) / 9
= 2/9
Libby can finish a paper in 2 hours. Ethan can finish the same paper in 4 hours. How
long will it take them to finish a paper if they work together?
Answer:
1.33333 hours
Step-by-step explanation:
Given :
Time taken by Libby = 2 hours
Time taken by Ethan = 4 hours
rate = 1 / time taken
Libby's rate = 1 /2
Ethan's rate = 1/4
Combined rate = Libby's rate + Ethan's rate
Combined rate = 1/2 + 1/4 = 3/4
Time taken = 1 / combined rate
Time taken = 1 / (3/4)
Time taken = 4 /3
Time taken = 1.33333 hours
What value of x makes this proportion true? x/6=36/24 O A. 8 O B. 9 O C. 18 O D. 7
Answer:
B. 9
Step-by-step explanation:
Proportions are just like fractions and to figure them out sometimes you can use simplification in different forms.
[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex]
Now to get to 6, 24 had to be divided by 4...in proportions and fractions usually, the top and bottom are both simplified or proportioned to the same number or scale
36 ÷ 4 = 9
Check your answer by inserting it there to see if it works
9*4 = 36 6*4 = 24
Answer:
[tex]\boxed {\boxed {\sf B. \ 9}}[/tex]
Step-by-step explanation:
We are given this proportion:
[tex]\frac {x}{6}=\frac{36}{24}[/tex]
We want to solve for x, so we must isolate the variable using inverse operations.
It is being divided by 6. The inverse of division is multiplication, so we multiply both sides of the proportion by 6.
[tex]6*\frac {x}{6}=\frac{36}{24}*6[/tex]
[tex]x=\frac{36}{24}*6[/tex]
[tex]x=1.5*6 \\x=9[/tex]
Another way to solve is with cross multiplication. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]\frac { x}{6}=\frac{36}{24}[/tex]
[tex]24*x=6*36[/tex]
[tex]24x=216[/tex]
The variable is being multiplied by 24. The inverse of multiplication is division, so we divide both sides of the equation by 24.
[tex]24x/24=216/24\\x=9[/tex]
The value of x that makes this proportion true is 9.
Pls helpppp and thank you
Mrs. Bruce wants to put in a swimming pool with a deck around the perimeter of the pool. The pool will be rectangular shaped and will have dimensions of 12 feet by 20 feet. The deck around the perimeter will be uniformed in width and have a total area of 68 square feet. Find the width of the deck.
Hint: Draw and accurately label a sketch of the deck and pool in the space below.
Answer:
I think! 3.5 feet wide
Step-by-step explanation:
the area of the pool is 240 square feet. divide by 68 square feet gives you 3.539= 3.5 feet wide. dont shoot me if I'm wrong lol
The width of the deck is approximately 2.65 feet.
To solve the problem, we need to first find the total area of the pool and deck combined, and then subtract the area of the pool to find the area of the deck.
The total area of the pool and deck can be represented as follows:
(12 + 2x) x (20 + 2x)
where x is the width of the deck.
The area of the pool is:
12 x 20 = 240
So, the area of the deck can be found by subtracting the area of the pool from the total area:
(12 + 2x) x (20 + 2x) - 240 = 68
Expanding the left side and simplifying, we get:
4x²+ 64x - 208 = 0
Dividing both sides by 4, we get:
x²+ 16x - 52 = 0
Using the quadratic formula, we get:
x = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = 16, and c = -52.
Plugging in these values, we get:
x = (-16 ± √(16² - 4(1)(-52))) / 2(1)
x = (-16 ± √(960)) / 2
x = (-16 ± 4√(15)) / 2
x = -8 ± 2√(15)
Since the width of the deck cannot be negative, we can discard the negative solution, and we are left with:
x = -8 + 2√(15)
So, the width of the deck is approximately 2.65 feet.
To know more about an area follow
https://brainly.com/question/29119126
#SPJ3
write a equation in slope intersect form for points (0,8) and (9,5)
y = mx+b
(5-8)/(9-0) = -1/3 which is m
solve point slope to find slope intercept by using one of the points (0,8)
y-y1=m(x-x1)
y-8 = -1/3(x-0)
y-8 = -1/3x
Answer: y = -1/3x + 8
i need help with this questionn
Determine the value of A
Answer:
A = 161°
Step-by-step explanation:
125° + 36° = 161°
hope this helps
HELPPPPPPPPPPPPP
In a bag of marbles there are 3 blue marbles, 3 red marbles, and 3 green marbles. You pick three marbles out of a bag one at a time without replacement. How many ways can you pick two green marbles first and one red marble last?
Answer:
separating
Step-by-step explanation:
separate the colors and if u separate the green from the red u can easily pick the marbles out
please helpppp
also just click the image for it to be bigger
What is vertical asymptote for the given equation
f(x) = log(x - 5) + 2
Figure 222 is a scaled copy of Figure 111.
Identify the side in Figure 222 that corresponds to side \overline{CD}
CD
start overline, C, D, end overline in Figure 111.
Answer:
if im corect the anwser is 3.14 (Side note) this is the wrong question i was anwsering to
if (x+2)^2=49, then x + 2 = 7. True or False
What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches?
a.576
b.588
c.672
d.648
Answer:
C. 672
Step-by-step explanation:
Answer:
C) 672
Step-by-step explanation:
HELP DUE IN 10 MINUTES
If one of my angles is 130 degrees, what is the measure of the blue angle that is supplementary to it?
Step-by-step explanation:
[tex]180 - 130 = 50[/tex]
Use the graph of the function f(x) - (x + 1)2 + 2. Identify the vertex and
the axis of symmetry.
Answer:
x = –1 AND (-1,2)
Step-by-step explanation:
The axis of symmetry is x = –1
and the vertex is (-1,2)
i know this because the graph is on -1, 2
and I also took the quiz hope it helps ;)
The vertex of the function is (-1, 2).
The axis of symmetry of the function is -1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = (x + 1)² + 2
f(x) = x² + 2x + 1 + 2
f(x) = x² + 2x + 3
Now it is in the form of ax² + bx + c
a = 1
b = 2
c = 3
The coordinate of the Vertex of the function is (-b/2a, f(x)) = (x, y)
-b/2a = -2/2 = -1
f(x) = (-1)² + 2 x (-1) + 3 = 1 - 2 + 3 = 4 - 2 = 2
Vertex = (-1, 2)
The axis of symmetry is the x-coordinate of the vertex.
= -1.
Thus,
Vertex is (-1, 2).
The axis of symmetry is -1.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2