7. y = x + 5
8. y=x-7
9. y=x-b
Solve for x: ax + b = c.
Answers
X= c/a - b/a for the last one
Related Questions
Complete the proof that \triangle LMN\sim \triangle OPN△LMN∼△OPNtriangle, L, M, N, \sim, triangle, O, P, N. Two triangles L M N and N O P share the same point N. Side length P N is eight. Side Length L N is five. Sides L M and O P are parallel. Two triangles L M N and N O P share the same point N. Side length P N is eight. Side Length L N is five. Sides L M and O P are parallel. Statement Reason 1 \overline{LM}\parallel\overline{OP} LM ∥ OP start overline, L, M, end overline, \parallel, start overline, O, P, end overline Given 2 \angle L\cong\angle O∠L≅∠Oangle, L, \cong, angle, O When a transversal crosses parallel lines, alternate interior angles are congruent. 3 4 \triangle LMN\sim \triangle OPN△LMN∼△OPNtriangle, L, M, N, \sim, triangle, O, P, N similarity
Answers
The congruence theorem that proves that △LON ≅ △LMN is: A. SSS congruence theorem
What is the SSS Congruence Theorem?According to the SSS congruence theorem, if all three corresponding sides of two triangles are congruent, then both triangles are congruent.
here, we have,
In the image given, we have:
ON ≅ MN
LO ≅ LM
LN ≅ LN (reflexive property)
This means all three corresponding sides are congruent, therefore, the congruence theorem that proves both triangles are congruent is:
A. SSS.
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As part of a study on the selection of grand juries in Alameda county, an educational level of grand jurors was compared with the county distribution:
Educational Level County # of Jurors
Elementary 28.4% 1
Seconday 48.5% 10
Some College 11.9% 16
College Degree 11.2% 35
Total 100% 62
Could a simple random sample of 62 people from the county show a distribution of educational level so different from the county-wide one? Chose one option and explain.
1) this is absolutley possible
2)this is possible, but fantastically unlikely
3)this is possible but unlikely-the chance is around 10% or so
4)this is nearly certain
Answers
This is possible but fantastically unlikely. A simple random sample of 62 people from the county would be unlikely to produce a distribution of educational levels so different from the county-wide one. The chances of this happening are extremely small.
A simple random sample is a sample drawn from a population in such a way that each member of the population has an equal chance of being selected. In this case, the population is the county, and the sample is the group of 62 grand jurors. When a simple random sample is drawn, it is possible for the sample to be different from the population in various ways.
For example, the sample may have a different distribution of educational levels than the population. However, the larger the sample size is, the more likely it is that the sample will be representative of the population. In this case, the sample size of 62 is relatively small, so it is possible that the sample will be different from the population in terms of educational level. However, the chance of this happening is not very high, since the sample size is not very large.
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Timmy’s T-shirt is having a huge back to school sale all the T-shirts in the store are currently discounted by 15% T represent the regular price of any T-shirt in the store the discount represented by the expression T -0.15 tea which expression can also be used to find the sales price of any T-shirt
Answers
Answer:
(1 - 0.15)T
Step-by-step explanation:
Given that;
Regular Tshirt price = T
Discount of sales = 15%
Hence, 0.15 of regular price ;
Discount = 0.15T
Hence, the sale price of any Tshirt ;
Regular price - discount on regular price.
T - 0.15T
Factorixe
T(1 - 0.15)
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answers
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
The graph shows a function of the form () = ab
.
Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.
Answers
Answer:
When \(x=0\), the value of f(x) is 1.
Each time x increases by 1, f(x) is multiplied by 4.
Equation of function: \(f(x)=1\cdot 4^x\)
Step-by-step explanation:
The detailed explanation is attached below.
What are the domain and range of the function f of x is equal to the quantity x squared plus 6x plus 8 end quantity divided by the quantity x plus 4 end quantity?
A. D: {x ∊ ℝ | x ≠ 4}; R: {y ∊ ℝ | y ≠ 0}
B. D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2}
C. D: {x ∊ ℝ | x ≠ 4}; R: {y ∊ ℝ | y ≠ 2}
D. D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 0}
Answers
The domain and range of \(f(x) = \frac{x^{2}+ 6x+8}{x+4}\) is D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2} .
The domain of a function f(x) is set of the value of x for which it is defied and Range of function is set of values f takes .
The rational number \(f(x) = \frac{p(x)}{q(x)}\) where p(x) and q(x) are polynomial in terms of x and q(x) ≠ 0 . The domain of rational number is set of values that do not cause denominator equal to zero .
The given function is :
\(f(x) = \frac{x^{2}+ 6x+8}{x+4}\)
we need to find domain and range of function,
For domain put denominator equals to zero
x+4 = 0
x = -4
so, domain is every real number except number making it zero
domain = (-∞,-4)∪(-4,∞) and x ≠ -4
For range ,factoring numerator
x²+6x+8 = x²+2x+4x+8
x(x+2)+4(x+2) = (x+4)(x+2)
Putting numerator back,
\(f(x) = \frac{(x+4)(x+2)}{x+4}\)
Cancelling factor (x+4) from numerator and denominator
\(f(x) = x+2\)
Putting x+2 = 0
\(x +2 = 0\\x = -2\)
range = (-∞,-2)∪(-2,∞) and f(x) ≠ -2
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D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2}
I took the test
-5-
2.4.1
The school ask you to determine the number scale of the drawing if the map length
actual 20 m boundary measurCs 16 cm on the diawing.
(Remember that both units must be the same
Answers
9514 1404 393
Answer:
1/125
Step-by-step explanation:
The map scale is usually shown as the ratio of the map distance to real-world distance. Here, that is ...
16 cm : 20 m = 16 cm : 2000 cm = 16 : 2000 = 1 : 125
The map scale is 1/125.
(05.02)
Solve the following system of equations:
-2x + y = 1
-4x + y = -1
Answers
Explanation:
A bag contain 50¢, 25¢ and 10¢ coins in the ratio 5 : 9 : 4, which amounts to $206. The number of coins of each type are
Answers
The number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
What is ratio?The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.
Now the given ratio is 5 : 9 : 4.
and total amount of the coins is $206.
There are three types of coins in the bag, 50¢, 25¢ and 10¢.
Suppose x be the the ratio of coins in the bag.
Hence, number of 50¢ coins = 5x
number of 25¢ coins = 9x
number of 10¢ coins = 4x
Now, given total amount = $206
and since $1 = 100¢
⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206
Solving them,
⇒ 2.5x + 2.25x + 0.4x = 206
⇒ 5.15x = 206
⇒ x = 40
Therefore,
number of 50¢ coins = 5*40 = 200
number of 25¢ coins = 9*40 = 360
number of 10¢ coins = 4*40 = 160
Hence, number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
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I give brainiest Martin decided to buy 3 bags of grapes weighing 4 1 5 pounds each. How much did all 3 bags of grapes weigh? 1 and one-fifth 7 and one-fifth 12 and one-fifth 12 and three-fifths
Answers
Answer:
12 3/5
Step-by-step explanation:
Answer:
12 3/5 can i have brainlist??
in how many ways can a family of four be seated at a round table if two brothers must sit together a)1 b)8 c)2 d)4
Answers
Answer:
8
Step-by-step explanation:
i think this is right if not it would be 2
Find the x - and y -intercepts of the following equation: 3x-2y=5 ?
Answers
The x-intercept will be (5/3, 0) and the y-intercept will be (0, -5/2).
The x-intercept of an equation is the point at which the graph of the equation intersects the x-axis, which means that the y-coordinate of that point is 0. To find a x-intercept, we can set y = 0 in equation and solve for x.
Given the equation: 3x - 2y = 5
Setting y = 0, we get;
3x - 2(0) = 5
3x = 5
x = 5/3
So, the x-intercept is (5/3, 0).
The y-intercept of an equation is the point at which the graph of the equation intersects the y-axis, which means that the x-coordinate of that point is 0. To find y-intercept, we can set x = 0 in equation and solve for y.
Setting x = 0, we get;
3(0) - 2y = 5
-2y = 5
y = -5/2
So, the y-intercept is (0, -5/2).
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220 student enter a spelling bee after the first round 40 students were eliminated there will be 180 students competing in round 2 what is the percent change
Answers
Initial number of students: 220
Final number of students : 180
Multiply the initial number of students (220) by the percentage change in decimal form (divided by 100) - That expression must be equal to 180.
220 x = 180
Solve for x:
x=180/220
x= 0.818181
multiply by 100
81,81 %
100%-81,81% = 18.18%
Percent change: 18.18%
Is it possible to identify The exact values of all the original service times? A. Yes. The data values in each class are equal to the corresponding class midpoint. P. No. The frequency distribution tells nothing about the data values that fall below the lowest class limit or above the highest class limit. C no. The data values in each class could take on any value between the class limits, inclusive. D. Yes. The data values in each class are spread evenly across the full length of the class.
Answers
No, The data values in each class could take on any value between the class limits, inclusive.
Option C is true.
Here,
We have to find that is possible to identify the exact values of all the original service times.
What is meant by class frequency?
The number of observation that occur in a particular predefined interval is called the frequency of a class interval.
Now,
It is not possible to the data values in each class could take on any value between the class limits, inclusive.
Hence, Option C is true.
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In the last six months, Sonia's family used 529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan. To save money, Sonia's family wants to keep their mean cell phone usage below 600 minutes per month.
By how many minutes did they go over their goal in the last six months?
Answers
Answer:
They went over their goal for the last six months by 34 minutes per month.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the size of the data-set.
529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan.
The mean is:
\(M = \frac{529+499+651+652+1163+310}{6} = 634\)
By how many minutes did they go over their goal in the last six months?
The mean was of 634 minutes, and they wanted to keep it below 600. So
634 - 600 = 34
They went over their goal for the last six months by 34 minutes per month.
help me like right now plzzzzzzzzzzz
Answers
Answer:The answer is 8
Step-by-step explanation:
2) √51 is closest to which whole
number?
Answers
After cοmpleting the task, we can state that The whοle number clοsest tο expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.
What is whοle number?The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.
Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.
√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.
Therefοre, √51 is clοsest tο the whοle number 7.
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Find the area of the trapezoid.
5 cm
3 cm
7cm
OA. 18 cm²
OB. 15 cm²
OC. 35 cm²
D. 21 cm
Answers
Answer:
18
Step-by-step explanation:
7 - 5 = 2
triangle = bh/2
triangle = 2(3) / 2
triangle = 3
rect = bh
rect = 3 x 5
rect = 15
trapezoid = 15 + 3
trapezoid = 18
General Math Sum what number is the divisor in the division problem below?
14÷2=7
A.7
b.2
c.14
Answers
Answer:
2
Step-by-step explanation:
Products: 974
12. Teagan was building a fence around his lawn.
The area of his lawn was 36 sq. yds. His lawn is a
square. How much fencing will he need?
Answers
Answer:
uiiu
Step-by-step explanation:
Introudction to functions
Answers
Answer:
f(x) = \(\frac{3}{2}\) x - 1
Step-by-step explanation:
a linear function has slope- intercept form
f(x) = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (- 2, - 4) ← 2 ordered pairs from the table
m = \(\frac{-4-5}{-2-4}\) = \(\frac{-9}{-6}\) = \(\frac{3}{2}\)
the point (0, - 1 ) from the table represents the y- intercept , so c = - 1
f(x) = \(\frac{3}{2}\) x - 1 ← represents the function
Choose the most reasonable Celsius temperature for a snowy day.
17°C 26°C -6°C
Choose the most reasonable Celsius temperature for a snowy day.
O A. 26°C
OB. 17°C
C. -6°C
Answers
The most reasonable temperature for a snowy day is given as follows:
C. -6°C
How to obtain the most reasonable temperature?Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.
17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:
C. -6°C
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How to write (-8,-4) and (-6,-1) in slope- intercept form
Answers
Answer: = (-8,-4)(-6,-1)=54
Step-by-step explanation:
What is the z-statistic for the sample? Round the answer to the nearest hundredth. z =
Answers
Answer:
What is the z-statistic for the sample? Round the answer to the nearest hundredth.
z =
2.07Step-by-step explanation:
on edge :)
Answer:
2.07
Step-by-step explanation:
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
Answers
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
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nt
ard
Quiz 3.1 & 3.2
es
3
1
3.11 can write an explicit arithmetic rule
A gym charges a $50 registration fee (this is a one-time fee you
have to pay in order to join the gym), and a monthly fee of $8.
1 poir
OS
D1
Write al
dar
2
f(x)
D
3
t
X
Answers
Answer:
\(f(x) = 50 + 8x\)
Step-by-step explanation:
Given
\(Registration\ Fee = \$50\)
\(Monthly\ Fee = \$8\)
Required
Determine an expression for the given parameters
Represent this expression with f(x) where x represents the number of months
f(x) would be:
\(f(x) = Registration\ Fee + Monthly\ Fee * x\)
\(f(x) = 50 + 8 * x\)
\(f(x) = 50 + 8x\)
..........................................what's the exchange rate at the post office is £1
Answers
Answer:
€327.6
Step-by-step explanation:
==>Given:
Post office exchange rate=> £1 = €1.17
==>Required:
Amount of Euros that will get me £280
==>Solution:
Using the exchange rate at the list office as stated in the question, convert £280 to euros:
Let x be the amount in euros
£1 = €1.17
£280 = x
Cross multiply to equate
x*£1 = €1.17*£280
Divide both sides by £1 to make x the subject of formula
x = (€1.17*£280)/£1
x = €327.6
You will get €327.6 for £280
The equations are in the picture
Answers
Answer:
m∠R = 56°
Step-by-step explanation:
2(8x - 12) = 16x - 24
2(3x + 5) = 6x + 10
16x + 6x + 10 - 24 = 360
22x - 14 = 360
22x = 374
x = 17
3x + 5 = 17 x 3 = 51 + 5 = 56
2/120=X/80=Y/300
x=? & y=?
Answers
X=1.33
Y=4.9875;approx. 5.0
Answer:
(2/120=X/80)=Y/300
2×80=120×X
X=160/120
X=1.33
X/80=Y/300
But X=1.33
By substituting
X=1.33, We have that
1.33/80=Y/300
80×Y=1.33×300
80Y=399
Y=399/80
Y=399/80
Y=5.0 approx.
what is y= -2/9x +2 in standard form?
Answers
Answer:
2x+9y=18
Step-by-step explanation: