[tex]~~~~(x+2)(x+3) = 12\\\\\implies x^2+3x+2x+6 -12=0\\ \\\implies x^2 +5x -6 = 0\\\\\implies x^2 +6x-x-6 = 0\\\\\implies x(x+6) -(x+6) =0\\\\\implies (x+6)(x-1)=0\\\\\implies x=1~~~~~~~~~;[x\neq -6~ \text{because length cannot be negative.}}][/tex]
Pls help me with this thank u
Answer:
[tex]y=-5x+22[/tex]
Step-by-step explanation:
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line that is perpendicular to [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\begin{aligned}\implies m \cdot \dfrac{1}{5} & =-1\\m & =-5\end{aligned}[/tex]
Using the point-slope form of a linear equation, with the given point (4, 2) and the calculated slope of -5:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\implies y-2 & = -5(x-4)\\y-2 & = -5x+20\\y & = -5x+22\end{aligned}[/tex]
Therefore, the equation of a line that passes through the point (4, 2) and is perpendicular to the line [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\Large \boxed{y=-5x+22}[/tex]
Write down the next decimal number. 0,79; 0,76; 0,73; 0,7; ___
Answer:
0.69
Step-by-step explanation:
Hope this helps..
PLS HELP ME $!!!!!!!
Step-by-step explanation:
(-1)⁴ - 11 = 1 - 11 = -10
0⁴ -11 = -11
1⁴ - 11 = -10
2⁴ -11 = -3
Dafna makes sport jackets. she is paid d dollars per hour , plus a piece rate of p dollars for each jacket .last week she made j jacket in h hours . write an expression for her total earnings .
Cost price is the total amount paid for the jacket while the selling price is the amount they are sold. The expression for her total earning willbe t(d) = hd - jp
Calculating total earningCost price is the total amount paid for the jacket while the selling price is the amount they are sold.
Total earning = Selling price - Cost price
Find the cost priceIf Dafna makes sport jackets and she is paid d dollars per hour, plus a piece rate of p dollars for each jacket.
Cost price = hd
x is the number of hour
Selling price = jp
total earning = hd - jp
Hence the expression for her total earning willbe t(d) = hd - jp
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55% of what number is 33?
Answer:
18.15
Step-by-step explanation:
55% = 55/100
33 = 33/1
33/1 x 55/100
33 x 55 = 1815
1 x 100 = 100
1815/100 = 18.15
Can someone please help me? :(
A. 13
B.11
C.7
D.12
i need help to find the X please
Answer:
see in picture
Step-by-step explanation:
35, 150, 305, 420, 535, 650 find the last number
Answer:
765
Step-by-step explanation:
each time it is adding 115 to the number before it.
650+115=765
Answer: 8
I hope this helps! :)
Find four consecutive odd integers such that if the sum of the first and fourth is multiplied by three, the result
is 12 less than four times the third.
Answer:
-7, -5, -3, -1
Step-by-step explanation:
Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:
[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]
[tex]3(2x + 6) = 4(x + 4) - 12[/tex]
[tex]6x + 18 = 4x + 16 - 12[/tex]
[tex]6x + 18 = 4x + 4[/tex]
[tex]2x = - 14[/tex]
[tex]x = - 7[/tex]
So the four consecutive odd integers are -7, -5, -3, and -1.
Solve the equation 4k=120.
120/4=30
Step-by-step explanation:
A store sells 4 cans for $11. what is the price of 9 cans?
Answer:
24.75
-------------------------------------------------------------------------------------------------------------
SolveSince the customers pay 11 dollars for 4 cans, first find how much one can costs by dividing the cost of 4 cans by the amount of cans given.
[tex]11 / 4 = 2.75\[/tex]
Now that we know they're paying 2.75$, multiply 2.75 by 9 to find the result.
[tex]2.75 * 9 = 24.75\[/tex]
That said, the answer is 24.75$
Answer:
$ 24 . 75
Step-by-step explanation:
Price PER can = 11 /4
Multiply this for 9 cans
9 * 11/4 =
What is the rate of change and y intercept
Answer:
In analytic geometry using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Step-by-step explanation:
hope this helps if not please let me know :)
answer should be given in m/s
Answer:
1.2 m/s
Step-by-step explanation:
when t = 0, your equation after expanding the brackets will only be 0^2 + 4.3*0 + 4*0.3 = 1.2
Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 -mile path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )
Answer:
A
Step-by-step explanation:
Add the lengths together then multiply by 5 times
Will mark brainlyest!!
Answer:
98
the answer is 98 but I just guessed
help........................
since the powers are same, ignore 'em , and let's calculate the bases.
-16.(1/2)
-8.1 (upon cancellation)
ans = -8
hope it helps...!!!
Which polynomial represents the sum below?
Answer:
A
Step-by-step explanation:
Shift the bottom trinomial to where like terms match up where it looks like this.
2x²+5x+4
5x²+8x
To make it easier to understand add a placeholder +0 to the trinomial so everything matches up so it looks
like this.
2x²+5x+4
5x²+8x+0
Finally, add like terms and you should end up with this. 7x²+13x+4
1/2 + 1/2 what is the answer to this problem
Answer:
1 is the answer
Step-by-step explanation:
1/2+1/2 is 2/2 which is equivalent to the number 1!
The function g has a domain of {-2,0,4,13} and a range of {5,9,15}. Could g be represent by the following relation: {(-2,5), (0,9), (4,15), (13,5)}?
Step-by-step explanation:
yes.
the domain defines the valid x values, the range defines the valid y values.
the given relation assigns every x value exactly one y value.
so, it is a function and could therefore represent g.
Your principal believes that students spend 2 hours on homework each night. However, based on the amount of time you spend on Honors Math 3 you believe it’s more than 2 hours.
What is the null hypothesis and alternative hypothesis to represent this situation?
Answer: The principal believes that students have been taught adequately in class and should not spend too much time on homework since it's meant to be a revision of what they have learnt. However a maths honour 3 students spends thorough time studying and has the understanding that Mathematics is time consuming, hence will think otherwise.
The student feels that maths homework may take the time meant for all other subjects judging by the time he/she dedicates to work.
Step-by-step explanation:
Which is the product of 7/9 and 6?
A. 1 4/9
B. 3 7/9
C. 4 2/3
D. 7 5/7
Answer:
C. 4 2/3
Step-by-step explanation:
1) Use this rule: a/b * c = ac/b.
7 * 6/9
2) Simplify 7 * 6 to 42.
42/9
3) Simplify.
14/3
4) Convert to mixed fractin form.
4 2/3
Answer:
The product of 7/9 and 6:
[tex]\\7/9 x 6 \\\\7x6=42\\\\42/9\\4 6/9\\\\4 is the whole number\\6/9 is the fraction that if we remove the 3 from both of us, it gives us the result 2/3\\ The answer is the B \\[/tex]
Step-by-step explanation:
the answer is the B
Because You only had to multiply 6 by 7 and the result, which would be 42 over 9, should be converted to a mixed number, which would be dividing 42 by 9, which is 4, and us over 6, which is four, which is the whole number, and 6 is the numerator and you don't change the nine since it is still the denominator.
Because the 4 is the whole number
And 6/9 is the fraction that if were move the 3 from both of us , it gives us the result is 2/3
So we have 4 2/3
the answer is the B
angles of circles
I don’t know how to solve circles please help
Answer:
55degrees try it I just wanted to help.
30
find the length of AB.
D 20 C
Show your work
please help me!! i’ll mark brainliest if you’re correct <3
Answer:
9, 12,15
Step-by-step explanation:
a^2+b^2=c^2
9^2+12^2=15^2
81+144=225
What are the rules for square rooting
Answer:
see carefully see carefully see carefully see carefully see carefully see carefully and see carefully see carefully see carefully see carefully
anyone know how to do #14 and #15?????
Answer:
He Melanie , use SOH CAH TOA to remember the trig functions
Step-by-step explanation:
for 14 they hyp = 22 and we know one angle of 45°, we also know that the triangle has a right angle or 90° and by inspection we can tell that the other angle is also going to be 45° so we know X and Y will be the same length, is why this is a good observation.
Use one of the trig functions with H in it b/c you know Hyp is 22, so,
SOH = Sin(Θ)= Opp / Hyp
Sin(45) = Opp / 22
Sin(45) * 22 = Opp
[tex]\sqrt{2}[/tex] / 2 * 22 = opp
11*[tex]\sqrt{2}[/tex] = opp is the exact answer, if you would like some decimal places, it's 7.7781 units, both X and Y
for 15 we can use SOH again for the bigger triangle. we know the Hyp is 24 and the angle is 30°
Sin(30) = Opp / 24
Sin(30) *24 = Opp
12 = Opp ( Because I know Sin(30) = 1/2 )
Opp is the upright between the two triangles
Use CAH Cos(Θ) = Adj / Hyp
Cos(30) = Adj / 24
Cos(30) * 24 = Adj
[tex]\sqrt{3}[/tex] /2 *24 =Adj
12[tex]\sqrt{3}[/tex] = Adj
Z = 12[tex]\sqrt{3}[/tex] or if you want some decimals 20.7846
Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths
then
Y = 12
You could use SOH or CAH to find the Hyp but, lets just resort to Pythagoras, and use his formula to find Hyp
Hyp = [tex]\sqrt{12^{2} +12^{2} }[/tex]
Hyp = [tex]\sqrt{288}[/tex]
hyp = 16.97
X = 16.97
:)
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The proportion of officers who are younger than 18 is 0.6. The table displays all possible samples of size 2 and the corresponding proportion for each sample. A 2-column table with 10 rows. Column 1 is labeled sample n = 2 with entries (18, 18), (18, 17), (18, 17), (18, 16), (18, 16), (18, 15), (18, 15), (17, 16), (17, 15), (16, 15). Column 2 is labeled sample range with entries 0, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1, 1. Using the proportions in the table, is the sample proportion an unbiased estimator? Yes, the sample proportions are calculated using samples from the population. Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion. No, 0.6 is not one of the possible sample proportions. No, 70% of the sample proportions are less than or equal to 0.5
Using the proportions in the table, is the sample proportion an unbiased estimator?
Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion.
How to solveMean of sample proportions = (0 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1)/10 = 0.6
This is equal to the population proportion. Hence,
Option B is correct.
A sample proportion is a portion of the sample that corresponds to a predetermined confidence level or a confidence interval, where the confidence level represents the confidence or probability percentage for a given point, as opposed to a sample mean, which is calculated by taking the arithmetic mean of all the values of a given sample.
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⚠️‼️⚠️ HELPPP PLEASE WILL GIVE POINTS ‼️⚠️⚠️
Answer: m∠MON = 57°
Step-by-step explanation:
what is the 23rd term in the sequence 10,8,6,4,
Answer:
-34.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 and common difference -2.
nth term = a1 + d(n - 1)
23rd term = 10 - 2(23-1)
= 10 - 44
= -34.
Answer:
-34
Step-by-step explanation:
The sequence starts with 10. Each subsequent term is 2 less than the previous term.
The common difference is -2.
The second term is 10 + (-2) × 1
The third term is 10 + (-2) × 2
The fourth term is 10 + (-2) × 3
Each term you subtract a multiple of -2 from 10. The multiple is 1 less than the number of the term multiplied by -2.
For term n, you get 10 + (-2) × (n - 1).
The 23rd term is:
10 + (-2) × (23 - 1) = 10 - 2 × 22 = 10 - 44 = -34
solve for x : -40 = 5x - 35
Answer: -1
Step-by-step explanation:
Add 35 to both sides
Divide both sides by 5