Answer:
y intercept = -5
slope= 4
equation: y = 4x - 5
EXPLANATION:
FIRST, you must write the formula for a linear graph , which is y = m(x) + c
where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.
SOLUTION:
y = mx + c
finding the gradient (m)
m = y2 - y1
x2 - x1
=( (-1)-(-5) ) ÷ (1-0)
= -1+5 ÷ 1
= 4
Therefore, the slope is 4
finding the y intercept.
y = 4x + c
in the above equation, I substituted the value I had for the slope or the gradient or m.
SO NOW IM ABOUT TO FIND C
TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.
I CHOOSE MY Y = 3 and X = 2
Now I'm going to substitute those values into the formula.
(3) = 4(2) + C
since it's an equation with one variable, no need for simultaneous equations.
3 = 8 + c
3-8 = c
-5 = c
SO THATS HOW WE ARRIVED AT -5 AND 4.
WITH THAT, the equation of the line is y = 4x - 5.
I HOPE IT WAS HELPFUL.
Solve the two-step equation 5x + 6 = 26
A. x = 6
B. x = 5
C. x = 32/5
D.None of the above
Answer:
D none of the above becuz x=4
Answer:
D
Step-by-step explanation:
What is the answer to this?
Answer:THE ANSWER IS C HOPE THIS HELPS ANY
Step-by-step explanation:
w/6+5/8=−1 3/8
w=?
I am really in a hurry. If the answer to this question is true, please tell me how to answer it. Thank you.
Answer:
46
Step-by-step explanation:
Calculate in calculator
Reid earns $9.00 per hour painting furniture and has already earned $22.50. The number of hours, x, for which Reid painted can be found using the equation 22.50=9x.
How many hours did Reid paint?
Answer:
2.5 hours or 2 hours and 39 min
Step-by-step explanation:
22.50/9
While doing an article on the high cost of college education, a reporter took a random sample of the cost of new textbooks for a semester. Her sample consisted of 20 students with a mean of $212.45 and a standard deviation of $38.92. A. Find the 99% confidence interval estimate of the true mean textbook cost for the semester based on her sample. Assume the cost of new textbooks is normally distributed.B. Based on part a, is an average cost of $200 for a semester a likely value for the population mean? Why or why not?
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.
a) Confidence (C) = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576
The margin of error (E) is given as:
[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7[/tex]
The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)
Hence the 99% confidence interval is between 203.75 and 221.15.
b) The population mean is the same as the sample mean. Hence the population mean = $212.45
Given f(x) = 2x2 – 3x + 7, find f(2.5)
Answer:
f(2.5)=3.5
Step-by-step explanation:
f(x)=2×2-3x+7
So,
f(2.5)=2×2-3×2.5+7
=4-7.5+7
=11-7.5
=3.5
Hope it will help you
(Please help fast I have like 20 minutes to answer the question )
Answer:
2/3 / 1/6
4/6 / 1/6
1/6 can go into 4/6 4 times. the answer is C; 4
Step-by-step explanation:
What is the slope of the line represented by the equation Y=4/5x-3?
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answer:
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]
[tex]=\frac{1}{24^3}[/tex]
Thus,
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Find the a2, a3, and a4 terms of the sequence defined as:
Answer:
[tex] a_2 =\frac{1}{2}\\\\
a_3 =2\\\\
a_2 =\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]a_1 = 2......(given)\\\\
a_n =\frac{1}{a_{n-1}}\\\\
Plug\: n = 2\\
a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\
Plug\: n = 3\\
a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\
Plug\: n = 4\\
a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]
Can someone please help
I need points lol ,, i hope you find your answer i guess .
One factor of x^2 + 5x - 24 is?
Answer:
(x-3)(x+8)
Step-by-step explanation:
Answer:
(x-3)(x+8) take your pick
simplify the equation-6z + (-5.5) + 3.5z + 5y - 2.5?
Answer:
5
y
−
2.5
z
−
8
Step-by-step explanation:
−
6
z
−
5.5
+
3.5
z
+
5
y
−
2.5
Add
−
6
z
and
3.5
z
.
−
2.5
z
−
5.5
+
5
y
−
2.5
Answer:
− 25z+5y−8
Step-by-step explanation:
DIFFERENTIATE W.R.T. Z
−2.5
Two stage floors are in the shape of isosceles trapezoids. The small stage floor in the drama room is
geometrically similar to the large stage floor in the auditorium, as shown below.
24
8
1211
Which proportin can be used to find the length of x, the large stage floor?
o
12
24
24
12+
12 I
8
24
1+12
Answer:b
Step-by-step explanation: you take the c of
The correct proportion that can be used to find x is 8 / 24 = 12 / x
The corresponding sides of the figures are taken into consideration.
The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as
12 / xThe other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as
8 / 24The ratio must be equal to each other to prove the similarity . Therefore,
12 / x = 8 / 24The correct proportion that can be used to find x is 12 / x = 8 / 24
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question
question
questionhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
= a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
Find the perimeter of a rectangle with the length of 4 cm and a width of 7 cm.
Answer:
22 cm
Step-by-step explanation:
Divide. Give the quotient and the remainder
303÷4
Triangles A B C, D E F, G H I, and J K L are shown. Angles A C B, D F E, H I G, and K L J are right angles. The length of side A C is 14 and the length of side C B is 20. The length of side E F is 8 and the length of F E is 10. The length of H I is 15 and the length of I G is 12. The length of K L is 10 and the length of L J is 7. The lengths of the hypotenuses are not given. Which pairs of triangles are similar? Check all that apply. △ABC ~ △DEF △DEF ~ △GHI △GHI ~ △ABC △GHI ~ △JKL △JKL ~ △ABC
Answer:
B) △DEF ~ △GHI
E) △JKL ~ △ABC
Step-by-step explanation:
i just did the assignment
The pairs of triangles are similar
△DEF ~ △GHI and △JKL ~ △ABC.
What is similarity ?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
AC = 14
BC = 20
DF = 8
FE= 10
HI = 15
IG = 12
KL = 10
LJ = 7
As, In Right Triangle we can use Pythagoras theorem
AB = √14²+ 20² = 24.41
DE= √8²+10²= 12.8
HG= √15²+ 12² = 19.2
KJ= √10² + 7² = 12.2
Then, from the ratio of Corresponding sides we get
△DEF ~ △GHI and △JKL ~ △ABC.
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20 pts You have hip-hop dance practice for 5 weeks. You attend practice 5 days each week. Each practice is the same length of time. You practice for 37.5 hours altogether. How many hours do you practice each day?
Answer:
1.5 hr
Step-by-step explanation:
The number of hours of practice each day is 1.5 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of practice weeks = 5
Number of practice days in a week = 5
The total number of practice days.
= 5 x 5
= 25 days
Total time for 25 practice days = 37.5 hours.
The number of hours each practice day.
= 37.5 ÷ 25
= 1.5 hours
Thus,
1.5 hours of practice each day.
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A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean score, , of all students taking the test?
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Help don’t understand
273+147+325 how much is it all together
Answer:
745
Step-by-step explanation:
Answer:
745.
Step-by-step explanation:
Next time you can use a calculator so you don't use up your points if you want.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. khope has $60 and must buy no less than 11 bags of popcorn and candies altogether. if x represents the number of bags of popcorn purchased and y represents the number of candies pruchased, write and solve a system of inequalities and determine one possible solution
both inequalities must start with y
Answer: Khloe could buy 3 bags of popcorn and 9 candies.
Step-by-step explanation:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of candies}
the number of candies
\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}
“no less than 11 items"→11 or more items
Use a \ge≥ symbol
Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:
x+y\ge 11
x+y≥11
\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}
“$60 to spend"→can spend $60 or less
Use a \le≤ symbol
One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:
7x+4y\le 60
7x+4y≤60
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}
x+y≥11
y≥11−x
7x+4y≤60
4y≤60−7x
y≤
4
60−7x
y≤15−
4
7
x
Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−
4
7
x by shading down:
0
the number of bags of popcorn
the number of candies
x
y
0
the number of bags of popcorn
the number of candies
(3, 9)
Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:
Khloe could buy 3 bags of popcorn and 9 candies.
The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased
Now , the total number of bags should be no less than 11
And , the inequality is
x + y ≥ 11 be equation (1)
And , cost of each popcorn bag = $ 7
So , the cost of x bags = 7x
And , cost of each candy bag = $ 4
So , the cost of y bags = 4y
The total amount with Khloe = $ 60
And , the inequality is
7x + 4y ≤ 60 be equation (2)
On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution
So , 7 ( 3 ) + 4 ( 9 ) ≤ 60
21 + 36 ≤ 60
57 ≤ 60
And , 3 + 9 ≥ 11
12 ≥ 11
Hence , the system of inequalities are solved and the graph is plotted
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how to solve 52/48 in the form of hcf
HCF is 4
Step-by-step explanation:
factors of 52 are: 2x2x13
factors of 48 are:2x2x2x2x3
common factors of 52%48 are: 2
hence, = 2x2
=4
hope it helps
sally has 2/8 cookies in a jar she ate 1/4 how many dose she have left :explain
Answer:
1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie
Step-by-step explanation: \
1.5: 2 x 3/4 (already ate 1/4) = 1.5
1/16= 1/4 (2/8 reduced) x 1/4
Select all the equations that have the same solution as 2x - 5 = 15
A
2x = 10
B
2x = 20
C С
2(x - 5) = 15
D
2x - 20 = 0
E
43 - 10 = 30
F 15 = 5 – 22
Answer:
Step-by-step explanation:
2x - 5 = 15
Bringing like terms on one side
2x = 15 + 5
2x = 20
Option B is the correct answer
Answer:
b) 2x = 20
c) 2(x - 5) = 15
D) 2x - 20 = 0
Explanation
2x - 5 = 15
2x = 15 + 5
2x = 20
x= 20/2
x= 10
a) 2x = 10
x= 10/2
x= 5 (which is not correct)
b) 2x = 20
x= 20/2
x = 10 (which is correct )
c) 2(x- 5) = 15
2x - 10 = 15.
2x = 15 +10
2x = 20
x = 20/2
x= 10 ( which is correct)
d) 2x - 20 = 0
2x = 20
x= 20/2
x= 10 ( which is correct)
In 1983, a hardcover dictionary cost $145.75. If the CPI is currently 209, what would a hardcover dictionary cost today? Round to the nearest cent.
a. $354.75
b. $304.62
$254.75
d. $209.00
Answer:
b. $304.62
Step-by-step explanation:
Just took the test and got it right
The cost of the hardcoer dictionary today given the CPI is $304.62.
What is the consumer price index?The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.
Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62
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A barrel of oil was filled at a constant rate of 6.2gal/min. The barrel had 9 gallons before filling began. Enter an equation in standard form.
Answer:
9 + 6.2x = y
Step-by-step explanation:
x - Gallons per minute
y - Total gallons
So, your answer would be:
9 + 6.2x = y
Could also be written as:
y = 9 + 6.2x
Hope this helps :)
3x-8y=-2 and 14x+8y=36
Answer:
X=2
Y=1
Step-by-step explanation:
........... Solution on the photo above
About 3/5th of the registered voters participated in 2016 election. California has 25 million registered voters. Find the number of registered voters who participated in 2016 election.
Answer:
Step-by-step explanation: 3x5=7056 = x25 2016