Answer:
x=-7
Step-by-step explanation:
convert to decimals 0.5(x+3)=0.4(x+2)
simplify the brackets 0.5x+1.5=0.4x+0.8
isolate x to one side 0.1x=-1/7
divide both sides by 0.1 x=-7
Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees of R? Explain.
Answer:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
Step-by-step explanation:
The possible degrees are 0, 1, and 2. Let's explain why by assuming the following is given:
P = 6x² - 3x - 2
Q = 3x² + 2x - 6
Let R = P - Q
Thus:
(6x² - 3x - 2) - (3x² + 2x - 6)
Open parentheses by distributing the factor of -1
6x² - 3x - 2 - 3x² - 2x + 6
Add like terms together
6x² - 3x² - 3x - 2x - 2 + 6
R = 3x² - 5x + 4
The leading term of R has a degree of 2. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 2.
Also, let us assume the following:
P = 4x² + 4x - 3
Q = 4x² + x - 8
Let R = P - Q
R = (4x² + 4x - 3) - (4x² + x - 8)
R = 4x² + 4x - 3 - 4x² - x + 8
Collect like terms
R = 4x² - 4x² + 4x - x - 3 + 8
R = 4x + 5 (4x² cancels 4x²)
The leading term of R has a degree of 1. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 1.
Also, let us assume the following:
P = x² + 2x - 3
Q = x² + 2x - 8
Let R = P - Q
R = (x² + 2x - 3) - (x² + 2x - 8)
R = x² + 2x - 3 - x² - 2x + 8
Collect like terms
R = x² - x² + 2x - 2x - 3 + 8
R = 5 (x² cancels x², and 2x cancels 2x)
The polynomial R has a degree of 0. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 0.
Therefore we can conclude that:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
Can someone please help, ty!!
(Will mark brainliest)
Answer:
4 hours
Step-by-step explanation:
50+5x=15x
50=20x
x=4
Which postulate or theorem would you use to prove these two triangles congruent?
Answer:
ASA
Step-by-step explanation:
Both triangles are marked on the Angle, a Side, and Another Angle
the cell phone cost 271 monthly the water gas and electric cost 1270 what is the yearly total for the water gas and electricity
Answer:
Cell phone monthly 271 X 12 = 2,052
water and gas yearly 1270 + 2,052 =3,320
3,320 is you're answer.
Step-by-step explanation:
Dave earned $12 for mowing 4 lawns. What is the rate earned per lawn mowed?
Is 1/3 a repeating decimal ?
Answer:
yes i also poop on poop though so it is fun
Step-by-step explanation:
1/3= poop
Answer:
Yes.
Step-by-step explanation:
1/3 = 0.333333333
On three consecutive passes, a football team gains yards,9 loses 18 yards, and gains 41 yards. What number represents the total net yardage?
Answer:
Gain:
32 yards
Step-by-step explanation:
+ 9 - 18 + 41
= 41 + 9 - 18
= 50 - 18
= 32
Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates of G’ ? A. (3,-2) B. (3,4) C. (2, -3) D. (2,2)
Answer:
A) (3,-2)
Step-by-step explanation:
A) (3,-2)
A resident of Bayport claims to the City Council that the proportion of Westside residents
(1) with income below the poverty level is lower than the proportion of Eastside residents
(2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses.
Calculate the value of the test statistic (round to 4 decimal places).
Calculate the p-value (round to 4 decimal places).
Answer:
The test statistics is [tex]z = -1.56 [/tex]
The p-value is [tex]p-value = 0.05938 [/tex]
Step-by-step explanation:
From the question we are told
The West side sample size is [tex]n_1 = 578[/tex]
The number of residents on the West side with income below poverty level is [tex]k = 76[/tex]
The East side sample size [tex]n_2=688[/tex]
The number of residents on the East side with income below poverty level is [tex]u = 112[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 < p_2[/tex]
Generally the sample proportion of West side is
[tex]\^{p} _1 = \frac{k}{n_1}[/tex]
=> [tex]\^{p} _1 = \frac{76}{578}[/tex]
=> [tex]\^{p} _1 = 0.1315 [/tex]
Generally the sample proportion of West side is
[tex]\^{p} _2 = \frac{u}{n_2}[/tex]
=> [tex]\^{p} _2 = \frac{112}{688}[/tex]
=> [tex]\^{p} _2 = 0.1628 [/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]p = \frac{k + u}{ n_1 + n_2 }[/tex]
=> [tex]p = \frac{76 + 112}{ 578 + 688 }[/tex]
=> [tex]p =0.1485[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }[/tex]
=> [tex]z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }[/tex]
=> [tex]z = -1.56 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z < -1.56 )[/tex]
From z-table
[tex]P(z < -1.56 ) = 0.05938[/tex]
So
[tex]p-value = 0.05938 [/tex]
1 1/4 packages of beads to make 10 bracelets. he wants to make 25 bracelets. how many packages of beads will he use
Answer:
55/8
Step-by-step explanation:
If 11/4 packages of beads are used to make 10 bracelets;
Hence the number of packages of beads that would be used to make 25 bracelets = (11/4 × 25)/10 = 55/8 packages of beads.
Write the equation of the line that passes through (1, -4) and (-4, 5). Put your answer in fully reduced point slope form unless it is a vertical or horizontal line.
Pop smoke - If I call you bae you bae for the day or bae for the night you night wife
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Answer:
Percent 40% Fraction 4/10 or 40/100 Decimal .40
Step-by-step explanation:
What is the probabiWhich value cannot represent the probability of an event occurring?
StartFraction 1 over 100 EndFraction
0.29
85%
Three-halflity of an event that is certain?
Given problem:
Which value cannot represent the probability of an event occurring?
Values:
[tex]\frac{1}{100}[/tex] 0.29 [tex]\frac{85}{100}[/tex] Three-halflity
Probability is the likelihood of an event to occur.
For an event that we are sure of occurring, the probability value is 1, and those that cannot occur have a probability value of 0.
The probability of any event is usually a fraction between 1 and 0.
So we can see that the odd one is the Three-halflity which is clearly greater than 1.
Answer:
D 3/2
Step-by-step explanation:
Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45).
What is the probability that a sample proportion of orange candies will be between .35 and .55?
Answer:
The probability is [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 175
The population proportion is p = 0.45
Generally the mean of the sampling distribution is [tex]\mu_{x} = 0.45[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]
=> [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]
=> [tex]\sigma_{x} = 0.0376[/tex]
Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is
[tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]
=> [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]
Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]
So
[tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]
=> [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]
From the z-table
[tex]P( Z< 2.6595 ) = 0.99609[/tex]
and
[tex]P( Z< - 2.6595 ) = 0.0039128[/tex]
So
[tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]
=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
what’s the answer to this question?
Answer:
the answer is 4/15i think if not sorry I am not 100% sure
Sue has $1.15 in nickels and dimes, a total of 16 coins.
How many nickels and how many dimes does Sue have?
Answer:
9 nickels . 7 dimes
Step-by-step explanation:
i take the same class so i know where u got it from
f(x) = x2 - 4; f(-3)

Please help me answer this
Answer:
the first.option is the right answer
8 less than the product of 7 and -10.
The expression is
The value of the expression is 1
Answer:
um i dunna
Step-by-step explanation:
uuuuhhghhhh
There are 3 different roads from city A to city B and 2 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B.
Answer: 6
Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.
Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.
A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.
If (4,-9) is rotated 270° about the origin the new point would be :
A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)
Lucy wants to buy a skateboard that had an original price of $60. It is marked down 30%. She lives in a state that has a 10% sales tax. What is the final price she will pay for the skateboard, including tax?
Answer:
$46.20
Step-by-step explanation:
First you find the markdown price which you can find by doing 60x.7 and you get 42. Then you multiply that by .1 and add that answer to 42 and you have an answer.
Antonio just signed up for new phone plan and is comparing his fees to that of his friend
Marcus. They both create equations so that they could compare their fees with each other.
Antonio's plan: Monthly cost 3 (.75m + 10) + 2.50m – 15 where m is the
number of minutes used
Marcus's Plan: Monthly cost 2 (1.75m + 12.50) – .75m + 4 where m is the
number of minutes used by setting their monthly cost equal, decide after how many minutes the two plans will cost the same
Answer:
7 minutes
Step-by-step explanation:
Antonio's plan: Monthly cost
3 (.75m + 10) + 2.50m – 15
Marcus's Plan: Monthly cost
2 (1.75m + 12.50) – .75m + 4
where, m = number of minutes used by setting their monthly cost equal
3 (.75m + 10) + 2.50m – 15 = 2 (1.75m + 12.50) – .75m + 4
2.25m + 30 + 2.50m - 15 = 3.5m + 25 - .75m + 4
4.75m + 15 = 2.75m + 29
4.75m - 2.75m = 29 - 15
2m = 14
Divide both sides by 2
m = 14 / 2
= 7
m = 7 minutes
Pls help i dont understand :( will give Brainliest + 25 Points
Select two ratios that are equivalent to 7: 10.
Just trying to get my late work done ✅ thxs
Answer:
21:30
35:50
Step-by-step explanation:
21 divide by 3 =7 30 divide by 3=10
35 divide by 5=7 50 divide by 5=10
Multiply. Simplify your answer and write as a mixed or whole number.
6 1/3 ⋅ 2
How can these terms be combined: -2x + 11 + 6x - 5 *
8 points
-8x +16
4x + 6
4x - 6
8x + 6
For the function h(x) = x2- 2, find the range:
If the domain is {-1, 0, 3}
Answer:
-4, -2, 4
Step-by-step explanation:
-1(2)-2
0(2)-2
3(2)-2
I hope this helped.