Answer:
y= -3x -2
Step-by-step explanation:
2.1Simplifying Expressions: Problem 1 (1 point) Simplify the following expression. 6- 4(x - 5)-
The simplified expression is 26 - 4x.
To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.
6 - 4(x - 5)
First, distribute -4 to the terms inside the parentheses:
6 - 4x + 20
Now, combine like terms:
(6 + 20) - 4x
Simplifying further:
26 - 4x
Therefore, the simplified expression is 26 - 4x.
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Tom buys some shirts for $15 each. He has a coupon for $9 off the total price. If he pays $36, how many shirts, s, did he buy? Choose the correct equation to solve.
1 point
Answer:
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3*15 = 45
45-9 = 36, so he has enough money
Seiko spent $98.34 on a pair of shoes and 3 pairs of fancy shoestrings. The shoes cost $45.99. How much was EACH pair of shoestrings?
Answer:
$17.45
Step-by-step explanation:
$17.45*3=52.35
$52.35+$45.99=$98.34
What are the x-intercepts of the parabola?
A (0, 3) and (0, 5)
B (0, 4) and (0, 5)
C (3, 0) and (5, 0)
D (4, 0) and (5, 0)
Answer:
C (3,0)(5,0)
Step-by-step explanation:
Because math duh
Write the equations of the parallel or perpendicular lines.
Answer:
ikl;'
Step-by-step explanation:
Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
Evaluate and simplify the expression
when a = 2 and b = 4.
4a-2(a + b) + 1 = [?]
Answer:
The expression 4a - 2(a + b) + 1 simplifies to -3 when a = 2 and b = 4.
Step-by-step explanation:
When a = 2 and b = 4, substituting the values into the expression gives:
4 * 2 - 2 * (2 + 4) + 1 = 8 - 2 * 6 + 1 = 8 - 12 + 1 = -4 + 1 = -3
So the expression 4a - 2(a + b) + 1 simplifies to -3 when a = 2 and b = 4.
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3. Let R be the region in the first quadrant bounded by the graph of y = x2, the x-axis, and the line x = 3. Part A: Find the area of the region R. Part B: Find the value of h such that the vertical line x = h divides the region R into two regions of equal area.Previous question
The dimensions of the region bounded by the curve, y² = x, the lines, x = 1 and x = 4, and the x-axis exists the dimensions ABCD
What is meant by angle?Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet. The word "angle" is derived from the Latin word "angulus," which means "corner," and there are numerous types of angles depending on measurement. Acute, obtuse, right, straight, reflex, and full rotation are the names of basic angles. Two rays can be joined at their termini to form the geometric shape known as an angle.Everyone has an angle, according to cynical belief, is wisdom. Having an angle refers to operating in a way that prioritises your own needs over those of others. No one can be impartial or selfless if everyone has a point of view.Thus area of ABCD = \(\int_1^4 \mathrm{ydx} \\\)
\(& =\int_1^4 \sqrt{\mathrm{x}} \mathrm{dx} \\\)
\($& =\left[\frac{\mathrm{x}^{\frac{3}{2}}}{\frac{3}{2}}\right]_1^4 \\\)
\($& =\frac{2}{3}\left[(4)^{\frac{3}{2}}-(1)^{\frac{3}{2}}\right]\)
simplifying,
\($& =\frac{2}{3}[8-1] \\\)
Then we get,
\($& =\frac{14}{3} \text { units }\)
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is -12, -10, -8, and -6 linear, exponential or neither
Answer:
Linear
Step-by-step explanation:
It goes up by 2 each time, so it would be linear.
If I had you roll 2 dice, recorded the face, and summed them up: 1. What kind of data is this (qualitative or quantitative data)
If you rolled two dice, recorded the face values and summed them up, you would be collecting quantitative data. This is because quantitative data is numerical in nature and involves counting, measuring or quantifying something.
In this case, the numbers on the faces of the dice would be counted and added together to obtain a total sum. This data can be further classified as discrete since the possible outcomes of rolling dice are limited to a set of discrete values.
Therefore, this data can be easily analyzed using statistical methods to determine the probability of certain outcomes occurring. Collecting quantitative data is essential in many fields such as science, economics, and finance, as it provides valuable insights into the behavior and trends of various phenomena.
In this situation, the face values on the dice represent numbers, and the sum of these values is also a number. The data you collect can be analyzed using statistical methods and can provide meaningful insights.
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the area of rectangular surface of a triangular prism having base sides 9 CM 10 cm and 17 cm is 864 CM square calculate the height of the prism
Answer:
The formula for the volume of a triangular prism is given by:
V = (1/2)bhL
where b is the base length of the triangle, h is the height of the triangle, and L is the length of the prism (i.e., the distance between the two triangular faces).
We are given the area of the rectangular surface of the prism, which is the product of the lengths of two adjacent sides of the rectangle, and we know that this area is equal to 864 cm^2. Therefore, we can use the Pythagorean theorem to find the length of the third side of the rectangle, which is also the base length of the triangular face:
17^2 = 9^2 + 10^2
289 = 81 + 100
289 = 181
So, the base length of the triangular face is 8 cm. Now we can plug in the known values into the formula for the volume of the prism:
864 = (1/2)(8 cm)(h)(L)
We are not given the length of the prism, L, but we know that it is equal to the base length of the triangle, which is 8 cm. Therefore, we can simplify the equation to:
864 = 32h
Solving for h, we get:
h = 864/32
h = 27
So the height of the prism is 27 cm.
Lucy is a waitress. At the end of the night she must give 12% of her tips to the cleaning crew. How much does she go home with if she made $320 in tips last night?
Answer:
It would be $281.60
Step-by-step explanation:
PLS HELP WITH YHIS PLS
Answer:
Y = 4x + 3
Step-by-step explanation:
Factor the expression completely 18x2 - 32
Answer:
4
Step-by-step explanation:
18x2=36
36-32=4
What is the total cost with sales tax?
Price $6.15
Tax 7%
Answer:
6.58 is the Answer
Answer this! :) Please
Are these figures below similar?
NO LINKS!! NEED ANSWER ASAP
There are 6 yellow hexagons 2 red trapezoids and 9 green triangles how many flowers could you make if they were changed 30 yellow hexagons 50 red trapezoids and 60 green triangles. Which shape would you have left over the most
Answer:
a) 5 flowersb) TrapezoidStep-by-step explanation:
For one flower, the following shapes are used;
6 yellow hexagons, 2 red trapezoids and 9 green triangles
If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60
30 = 6*5
50 = (2*5)+40
60 = (9*5)+15
We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.
Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)
bob rewrite the expression 6-(-8) as 6-(+8). Is he correct or incorrect? Explain how you know.
Answer:
Incorrect
Step-by-step explanation:
When you subtract a negative number it changes it to adding a positive number according to math rules.
6 - (-8) -> 6 + 8
Best of Luck!
Answer:
if Bob rewrite the expression 6-(-8) as 6-(+8) it will be incorrect.
Step-by-step explanation:
If Bob rewrite the expression, 6-(-8) as 6-(+8) he will be incorrect because if he right 6-(-8) as 6-(+8) it will be completely incorrect as if we open the bracket of 6-(-8) it becomes 6+8which is 14 but if we opens open the bracket of 6-(+8) which is -2 and hence simplify will be totally incorrect .Thus,bob should not rewrite the expressions, 6-(-8) as 6-(+8).
I hope this will help you.....please mark my answer as BRAINLIEST if you liked it....A store is having a 20% off sale. The sale price of an item with price p is p – 0. 2p. What is an equivalent expression? p.
After the store gives 20% off sale, the expression of the item at price p can be written as, p-0.2=0.8p.
Given to us
A store is having a 20% off sale.
The sale price of an item with price p is p – 0. 2p.
What is the total price of the item?We know that for any item the price can be 100%(1.00) of itself, therefore, the price of the item will be p.
What is the expression is equivalent to?We know that for any item the price can be 100%(1), therefore, after giving 20%(0.2) off sale, the price will be 80%(1-0.2 = 0.8) of the original.
Thus, the expression is equivalent to
\((100\%)p-(20\%)p = 80\%p\\\\1p-0.2p = 0.8p\\\\p-0.2p=0.8p\)
Hence, after the store gives 20% off sale, the expression of the item at price p can be written as, p-0.2=0.8p.
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A card is drawn one at a time from a
well-shuffled deck of 52 cards. In 13
repetitions of this experiment, 1
king is drawn. If E is the event in
which a king is drawn, find the
experimental probability P(E).
P(E)=
The empirical probability of drawing the cards will be 6 / 55.
What is empirical probability?The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.
Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.
The number of kings in a well-shuffled deck consists of 52 cards which is 4.
The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.
In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,
The empirical probability will be calculated as,
P(E) = ¹³C₂ / ¹³C₄
P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]
P(E) = ( 4 x 3 ) / ( 11 x 10)
P(E) = 6 / 55
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Raj correctly determined that ray LH is the bisector of AngleGLI. A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I. Which information could he have used to determine this? AngleGLH Is-congruent-to AngleILM mAngleKLM = 5mAngleILM mAngleGLI = 2mAngleGLH mAngleGLI = mAngleGLH + mAngleHLI
Answer: C.) mAngleGLI = 2mAngleGLH
Step-by-step explanation:
Hope it helps!!!
For ray LH as the bisector of angle GLI, we can determine that the relation ∠GLI = 2∠GLH holds
What is an angle?An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and scalene.
∠GLI is bisected by LH, hence:
∠GLH = ∠HLI (definition of bisection)
∠GLI = ∠GLH + ∠HLI (angle addition)
∠GLI = 2∠GLH
The information that can be used to determine this is ∠GLI = 2∠GLH
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suppose the variable x, the modified dental anxiety scale scores, is normally distributed with a mean score of 11 and standard deviation of 4. (a) what is the probability that the modified dental anxiety scale scores is higher than 13? (b) what is the probability that the modified dental anxiety scale scores is lower than 10? (c) what is the probability that the modified dental anxiety scale scores is between 15 and 20? (d) find the modified dental anxiety scale score so that only 1% will exceed (higher than). (e) find the modified dental anxiety scale scores so that only 20% will be lower than.
(a) The probability that the modified dental anxiety scale score is higher than 13 is approximately 0.3085. (b) The probability that the score is lower than 10 is approximately 0.4013. (c) The probability that the score is between 15 and 20 is approximately 0.1465. (d) A score of approximately 20.32 will have only 1% exceeding it. (e) A score of approximately 7.64 will have only 20% lower than it.
To solve the given problems, we can utilize the properties of the normal distribution and standardize the scores using z-scores.
(a) Probability that the score is higher than 13:
First, we calculate the z-score:
z = (13 - 11) / 4 = 0.5
Using a standard normal distribution table or a calculator, we find the probability associated with the z-score of 0.5, which is approximately 0.3085. Therefore, the probability that the score is higher than 13 is 0.3085.
(b) Probability that the score is lower than 10:
Similarly, we calculate the z-score:
z = (10 - 11) / 4 = -0.25
Using the standard normal distribution table or a calculator, we find the probability associated with the z-score of -0.25, which is approximately 0.4013. Therefore, the probability that the score is lower than 10 is 0.4013.
(c) Probability that the score is between 15 and 20:
We calculate the z-scores for both values:
z1 = (15 - 11) / 4 = 1
z2 = (20 - 11) / 4 = 2.25
Using the standard normal distribution table or a calculator, we find the probabilities associated with the z-scores of 1 and 2.25. The probability associated with z = 1 is approximately 0.8413, and the probability associated with z = 2.25 is approximately 0.9878. Therefore, the probability that the score is between 15 and 20 is 0.9878 - 0.8413 = 0.1465.
(d) Modified dental anxiety scale score for which only 1% will exceed (higher than)
We need to find the z-score that corresponds to the cumulative probability of 0.99 (1% will exceed). Using the standard normal distribution table or a calculator, we find the z-score associated with a cumulative probability of 0.99, which is approximately 2.33. We can then use the z-score formula to find the corresponding score:
x = (z * standard deviation) + mean
x = (2.33 * 4) + 11
x ≈ 20.32
Therefore, a modified dental anxiety scale score of approximately 20.32 will have only 1% exceeding (higher than) it.
e) Modified dental anxiety scale score for which only 20% will be lower than, We need to find the z-score that corresponds to the cumulative probability of 0.20 (20% will be lower than).
Using the standard normal distribution table or a calculator, we find the z-score associated with a cumulative probability of 0.20, which is approximately -0.84. We can then use the z-score formula to find the corresponding score:
x = (z * standard deviation) + mean
x = (-0.84 * 4) + 11
x ≈ 7.64
Therefore, a modified dental anxiety scale score of approximately 7.64 will have only 20% lower than it.
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Which of these four figures are congruent to the top
figure?
A
B
С
D
Answer:
I think it's C!
Step-by-step explanation
I hope you do well! Have a great day!
Answer:
Step-by-step explanation: C
if the data show that 63% of respondents favor capital punishment (63.2% favor capital punishment; gss, 2018), what will be your best estimate of the percentage(s) of adult americans who feel this way?
It is difficult to estimate the exact percentage of adult Americans who feel this way without further information, however 63% is a good indication that the majority of adult Americans favor capital punishment.
Based on the data provided, it is reasonable to assume that the majority of adult Americans favor capital punishment. This is supported by the survey results which show that 63% of respondents favor capital punishment (63.2% favor capital punishment; gss, 2018). However, without further information such as the survey sample size and what demographics were surveyed, it is difficult to estimate the exact percentage of adult Americans who feel this way. Nonetheless, the survey results indicate that the majority of adult Americans are in favor of capital punishment.
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What are the numerical measures of each angle in the diagram? 1 and 3 measure degrees. 2 and 4 measure degrees. (3x - 1)º (2x + 9)°
Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°
Answer:
keeping it simple answers are 29 and 151 now thats simple
Step-by-step explanation:
a family sold a home for $425 000 and paid 6% commission.
a) how much was the commission?
b) how much did the family receive for the house?
c) what if the family had been able to pay only 5% commission. How much would the family have saved?
Answer:
Step-by-step explanation:
To do this take sale price, multiply it by the commission percentage, divide it by 100
The product of two consecutive integers is 342. Which quadratic equation can be used to find x, the greater number
A. X^2+1=342
B. X^2-1=342
C. X^2-x+342=0
D. X^2-x-342=0
The quadratic equation can be used to find x, the greater number D. \(x^{2}\)-x-342=0
Let x be the greater of the two consecutive integers, then the other integer is x-1. The product of the two integers is given as 342, so we can write the equation:
x(x-1) = 342
Expanding the left side and rearranging, we get:
\(x^{2}\) - x - 342 = 0
Therefore, the quadratic equation that can be used to find x, the greater number, is D.\(x^{2}\)-x-342=0.
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Describe the symmetry of each shape. The dodecagon has lines of symmetry. The arrow has lines of symmetry.
Answer:
Step-by-step explanation:
An arrow has one line of symmetry going through it vertically
A dodecagon has six lines of symmetry going through its points.
Answer: The arrow has 1 line and the dodecagon has 4 lines of symmetry.
Step-by-step explanation:
I just did it.
solve by using subsitution or elimnation by addition. 4x-3y=3 -8x 6y=-6
If we solve 4x-3y=3, -8x +6y=-6 by substitution or elimination, we will have x=3/4 and y=0
We have the following simultaneous equations:
4x-3y=3.....................(i)
-8x+6y=-6..................(ii)
We solve using substitution:
Make x the subject of formula in equation(i):
4x=3+3y
x=(3+3y)/4
Now, replace the value of x in equation(ii)
-8x+6y=-6, and x=(3+3y)/4
-8((3+3y)/4)+6y=-6
-2(3+3y)+6y=-6
-6-6y+6y=-6
y=0
Now, we replace the value of y=0 in any equations we have to find the corresponding value of x:
4x-3y=3, but y=0
4x-3(0)=3
4x=3
x=3/4
Hence, x=3/4, y=0
The question was incomplete, the complete question is given below:
solve by using substitution or elimination by addition. 4x-3y=3 -8x+6y=-6
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