The numeral coefficient is the number ( the one that we know)- so its 6
Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)
Answer:
A) (16-9) =(4+3)(4-3)
Step-by-step explanation:
Explanation:-
Given the number = 7
The difference of two numbers are 16-9 =7
The difference of squares
4² - 3² = 7
We will use formula
a² - b² = (a-b) (a+b)
4² - 3² = (4 -3) (4+3)
16 -9 = (4 -3) (4+3)
Final answer:-
The number 7 can be rewritten with the difference of squares identity
16 -9 = (4 -3) (4+3)
Please help me with the question
Answer:
C
Step-by-step explanation:
5a+ 18 < -27
Subtract 18 from each side
5a+18-18 < -27-18
5a < -45
Divide each side by 5
5a/5 < -45/5
a < -9
Open circle at 9, line doing to the left
Solve for x in the equation x2 -8x+41=0.
X=-4+ 37i
X = -4 - 5i
X = 4+ 37i
Answer:
not sure if this is a right answer. but hope this helps
Step-by-step explanation:
The roots of the given quadratic equation are x=-1.6 and x=-6.4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
here, we have,
given that,
The given equation is x² - 8x + 41 =0.
The given equation can be solved using quadratic equation formula.
Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.
Quadratic equation formula x = -b±√b² - 4ac / 2a
Now, x= -8 ± √ 64 - 41 / 2×1
⇒ x= -8 ± √23 / 2
⇒ x= -8 ± 4.8 /2
⇒ x=-1.6 or x=-6.4
Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.
To learn more about the quadratic equation visit:
brainly.com/question/1863222.
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ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33
Answer:
The length of side A is 12 cm
Step-by-step explanation:
This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.
Given
Side A corresponds to 24 cm
Length 6 cm corresponds to Length 12 cm
Required
Find A
The given parameters can be represented mathematically as;
[tex]\frac{A}{24} = \frac{6}{12}[/tex]
With this expression, the value of A can be easily solved
First; multiply both sides by 24
[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6 * 24}{12}[/tex]
[tex]A = \frac{144}{12}[/tex]
[tex]A =12[/tex]
Hence, the length of side A is 12 cm
Answer:
ANSWER:A
Step-by-step explanation:
ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!
byeeeeee:)
<3
2 Points
A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts
are drawn from a single deck. In order to win, the next card the player draws
from the deck must be higher than the highest card already drawn. What is
the probability that the next card the player draws is a winning card? (An ace
is considered to have a value of 1 and jacks, queens, and kings have a value
of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,
9,10,J,Q,K,
A. 25%
B. 24%
C. 32.6%
D. 8%
Answer:
C) 32.6%
Step-by-step explanation:
Given:
Total number of cards = 52
3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.
To win the next card drawn must be greater than the highest card already drawn.
Required:
Find the probability of winning
Here, the highest card already drawn is 9 of spades or 9 of hearts.
The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.
Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).
Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]
Convert to percentage:
0.326 * 100 = 32.6%
assemble the proof by dragging tiles HELP ASAP PLEASE!!!!
The perimeter of a rectangle field is 48 yards. The length is 6 yards more than the width. Find the length and width of the rectangle field.
A. Length = 10 yards; width = 4 yards
B. Length = 11 yards; width = 5 yards
C. Length = 15 yards; width = 9 yards
D. Length = 9 yards; width = 3 yards
Answer:
C. Length = 15 yards; width = 9 yards
Step-by-step explanation:
When you multiply the length and width by two and add them together, this answer is the only one that results in 48.
Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2
Answer:
Step-by-step explanation:
Statements Reasons
1). M is the midpoint of segment AB 1). Given
B is the midpoint of segment MD
2). AM = MB and MB = BD 2). Definition of midpoint
3). MD = MB + BD 3). Segment Addition Postulate
4). MD = MB + MB 4). Substitution property of of Equality
5). MD = 2MB 5). Simplify
Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB
Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
The given function is
[tex]f(x)=(x-1)(x+7)[/tex]
Zeroes of the function are
[tex](x-1)(x+7)=0[/tex]
[tex]x=-7,1[/tex]
It means, f(x) intersect x-axis at x=-7 and x=1.
Mid value of -7 and 1 is the x-coordinate of the vertex.
[tex]\dfrac{-7+1}{2}=-3[/tex]
At x=-3,
[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]
So, the vertex of the function is at (-3,-16).
The given function can be written as
[tex]f(x)=x^2+7x-x-7[/tex]
[tex]f(x)=x^2+6x-7[/tex]
Here leading coefficient is negative, it means it is an upward parabola.
So, we conclude that
1. The graph is increasing on the interval x > -3.
2. The graph is decreasing on the interval x < -3.
3. The graph is positive only on the intervals where x <-7 and where x > 1.
4. The graph is negative only on the intervals where -7 < x < 1.
Therefore, the correct options are 2, 3 and 4.
Answer:
THE CORRECT ANSWERS ARE 2,3,4!
Step-by-step explanation:
TOOK THE TEST ON EDGE
I am giving you some data, I want you to make up 2 questions about probability using that data.
You have a bowl of Jelly Belly jelly beans. There are 5 flavors, 25 watermelons, 13 tutti fruitti, 45 cherry, 10 cinnamon, 32 buttered popcorn.
Answer:
What’s the probability of choosing a tutti fruitti and a cherry jelly bean?
What’s the probability of choosing a watermelon, replacing it, then choosing a buttered popcorn?
Step-by-step explanation:
Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
A(√2) would be the correct answer.
Answer:
[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]
Step-by-step explanation:
[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.
Answer: 3150 miles
Step-by-step explanation: Ok, let's break it down...
180 ÷ 2 = 90 / The train travels 90 mph....
90 * 7 = 630 / The jet travels 630 mph....
630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!
Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse
34°, acute
134°, obtuse
44°, right
54°, acute
Answer:
x = 44
right
Step-by-step explanation:
The sum of the angles in a triangle add to 180
90+ 46+x = 180
Combine like terms
136+x = 180
Subtract 136 from each side
136+x-136=180-136
x =44
Since we have a 90 degree angle it is a right triangle
Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?
х
-2
-1
0
1
2
f(x)
12
10
8
6
4
Answer:
(12,-2), (10,-1), (8,0), (6,1) and (4,2).
Step-by-step explanation:
If a function is defined as
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
then its inverse is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
It means coordinates of ordered pairs are interchanged.
From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).
Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).
Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).
what is the value for Z
Answer: z = 28 degrees
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
1.) Edge Fitness charges $18 a month for a gym membership and a $30 start-up fee. How much would you spend after 1 year at the gym?
Equation:
Answer:
$246
Step-by-step explanation:
30 + 18(12)=
30 + 216
246
Answer:
30+12*18=246
Step-by-step explanation:
İf the bill 18 dollars for month, it's equals 216 from 12*18.
And the start-fee is 30 dollars. Then 216+30=246
29 40 40 40 40 41 51 56 62 63 whats the interquarile range
Answer:
At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.
Based on you doing so we take the 56-40 = 16 range
If you haven't included outside numbers
We take the 63-29 = 34 range
Step-by-step explanation:
Please Help!!! DUE NOW!
Answer: 37
Step by step explanation:
y+29+40+2y=180°( sum of angle in straight line)
or, y+2y+29+40=180°
or,3y+69=180
or,3y=180-69
or,3y=111
or,y=111/3
y=37
hope it helps
Good luck on your assignment
Question 3(Multiple Choice Worth 1 points)
(08.05 MC)
The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?
g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2
Answer:
[tex]g(x)=(x+3)^2[/tex] best describes g(x)
Step-by-step explanation:
We are given an equation of graph[tex]f(x)=x^2[/tex]
Rule : When the graph f(x) shifts left by c units . So, resultant graph is f(x+c)
Now we are given that The graph of [tex]f(x) = x^2[/tex] is shifted 3 units to the left to obtain the graph of g(x).
So, By using rule :
[tex]f(x+3)=(x+3)^2[/tex]
So, [tex]g(x)=(x+3)^2[/tex]
So, Option A is true
Hence [tex]g(x)=(x+3)^2[/tex] best describes g(x)
Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection
Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)
Answer:
x^3 + 3x^2 + 4x + 12
The center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost
Net games 99$ 8$
Equipment cost mouthy fee
anytime games 19$ 19$
1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.
2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.
3. Use your answers from 1 and 2 to justify which service the community center should purchase.
Answer:
Here's what I get
Step-by-step explanation:
Total cost = equipment cost + monthly fee × number of months
Let C = total cost
and e = equipment cost
and f = monthly fee
and x = number of months. Then
C = e + f·x
The condition is that C ≤ $175 or
e + f·x ≤ $175
1. NetGear
e = $99; f = $5/mo
The condition is
99 + 5x ≤ 175
[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]
The centre could rent the games for 15 mo.
They would pay $99 for the equipment.
Fifteen months rental at $5/mo = $75.
Total cost = $174.
2. Anytime Games
e = $19; f = $19/mo
The condition is
19 + 19x ≤ 175
[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]
The centre could rent the games for eight months.
They would pay $19 for the equipment.
Eight months rental at $19/mo = $152.
Total cost = $171.
3. Recommendation
The Community Centre should rent from NetGear.
They can rent for 15 mo without going over the budget.
With the other company, they can rent for only eight months.
The graphs below show how the costs for the two companies vary with the number of months.
Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour
Answer:
D
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(390-260)/(6-4)
m=130/2
m=65/1
every hour, a car travels 65 miles
D
Answer:
65/1
Step-by-step explanation:
A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.
Answer:
48 7/8
I hope this helps.
Answer:
Step-by-step explanation:
48 7/8
A right pyramid on a base 4cm square has a slant edge of 6cm Calculate the volume.
2. The slant edge of a right pyramid with rectangular base is 14. 6cm and height is 1.2 cm .If the length of one of the sides of the base is 8. 4 cm find the surface area.
Please help with at least one.
Please show workings.
Answer:
L*b
6*4
24cm
L*b*h
14.6m *1.2cm *8.4cm
=147.168
Answer:
This is the answer to No 1.
Volume= 48√5
Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.
Answer:
The relationship is not proportional.
Step-by-step explanation:
To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.
y/x=c.o.p
c.o.p=constant of proportionality.
the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.
please mark me brainliest:)
a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers
Answer:
Step-by-step explanation:
6.8/3 is the scale factor
1.35*(6.8/3)=3.06
1.8*(6.8/3)=4.08
3.75*(6.8/3)=8.5
8.5-8.35=0.15
3.4-3.06=0.34
since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose
Option B is definetly right, but what about another option, is there an option D?
The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.
Answer:
[tex]3\sqrt{5}.[/tex]
Step-by-step explanation:
It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as
[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]
The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is
[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]
The magnitude of [tex]\vec{a}[/tex] is
[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]
[tex]|\vec{a}|=\sqrt{9+36}[/tex]
[tex]|\vec{a}|=\sqrt{45}[/tex]
[tex]|\vec{a}|=3\sqrt{5}[/tex]
Modulus of magnitude is
[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]
So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]
please help! urgent
The cost of renting a community center is $100, with and additional $10 per guest.
Which graph has the most appropriate scales and units for this situation? (pictures attached)
Answer:
I think it is A
Step-by-step explanation:
the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.
Answer:
Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200
Step-by-step explanation:
HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A
Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^). For example, you
would enter x2 as x^2.
343x3 + 216y3
Answer:
(7x +6y)(49x^2 -42xy +36y^2)
Step-by-step explanation:
The factoring of the sum of cubes is a special form:
a³ +b³ = (a +b)(a² -ab +b²)
We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.
Identifying the cubesFrom our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...
343x³ +216y³ = (7x)³ +(6y)³
ApplicationOur factoring pattern above can be used with ...
a = 7xb = 6ySubstituting these values, we have ...
343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)
343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)