The equation in slope-intercept form is y = 4x - 5
What is the slope-intercept form?
One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line.
What is the slope-intercept formula?
the slope of a line joining two points (x, y) and (x₁, y₁) is, m = (y - y₁)/(x - x₁)
Here we have,
x₁ = 1
y₁ = -1
m = 4
then, by applying the slope-intercept formula, we get
m = (y - y₁)/(x - x₁)
4 = (y + 1)/(x - 1)
4(x-1) = (y+1)
4x - 4 = y +1
y = 4x - 5
Hence, The equation in slope-intercept form is y = 4x - 5
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An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?
pentagon
hexagon
octagon
nonagon
Answer:It is a 5 sided polygon known as pentagon.
Step-by-step explanation:
The cost of carpeting a square hall at Rs. 60 per m2 is
Rs. 2,94,000. If the cost of plastering its four walls at
Rs. 15 per m2 is Rs. 16,800, find the height of the hall.
Answer:
4 m\(\\\)
Step-by-step explanation:
294000 / 60 = 4900 m2 is the area of the sqauresqrt{4900} = 70 m is the sqaue length (=width)16800 / 15 / 4 = 280 m2 is the area of ONE wall280 / 70 = 4 m is the wall hight
need some help on this
Hi there!
The two angles are alternate-interior angles, so:
∠A ≅ ∠B
6x + 18 = x + 93
Solve for x. Subtract x from both sides:
5x + 18 = 93
Subtract 18 from both sides:
5x = 75
Divide both sides by 5.
x = 75/5 = 15°
Now, solve for angle B by plugging in this value into the equation.
∠B = 15 + 93 = 108°
What is it?? Multiple choice
Answer:
it's integer please mark brainlist thank you and God bless
An irrational number between 4 and 7.
Answer: an irrational number between 4 and 7 would be 5
Step-by-step explanation:
What is the coefficient of the term 6/7xy
Answer: 6/7 The required option is (3) 6/7
Step-by-step explanation: Explanation : A term is combination of variables and numerals by means of multiplication and division.
the value of y varies jointly with x and the square of z, and y=90 when x=5 and z=3. find the equation represents this relationship
Answer:
Step-by-step explanation:
If y varies jointly with x and the square of z, we can express this relationship as:
y = kx z^2
where k is the constant of variation. To find the value of k, we can use the given information that y = 90 when x = 5 and z = 3:
90 = k(5)(3)^2
Simplifying, we get:
90 = 45k
Dividing both sides by 45, we get:
k = 2
Now we can substitute this value of k into our equation to get:
y = 2xz^2
Therefore, the equation that represents the relationship between y, x, and z is:
y = 2xz^2
Find the surface area of a triangular prism. 16 cm., 20cm.,12cm.,10cm.
If the total surface area of hemispher is 7392 square cm. Them find its radius.
Answer: The radius of the hemisphere is (R) = 28 cm
There are 55 black balls and 88 red balls in an urn. If 44 balls are drawn without replacement, what is the probability that no more than 11 black ball is drawn
Answer:
\(Probability = \frac{70}{143}\)
Step-by-step explanation:
Given
\(Black = 5\)
\(Red = 8\)
\(Total = 13\)
To solve the required probability, we need to determine the number of available selections:
There are two possible scenarios;
1: All 4 selections are red.
2. 1 selection is black, while 3 others are red
Scenario 1: All Red
\(^8C_4 = \frac{8!}{(8-4)!4!}\)
\(^8C_4 = \frac{8!}{4!4!}\)
\(^8C_4 = \frac{8*7*6*5*4!}{4!4!}\)
\(^8C_4 = \frac{8*7*6*5}{4!}\)
\(^8C_4 = \frac{8*7*6*5}{4*3*2*1}\)
\(^8C_4 = \frac{1680}{24}\)
\(^8C_4 = 70\)
Scenario 2: 1 Black, 3 Red
Selecting Black:
\(^5C_1 = \frac{5!}{(5-1)!1!}\)
\(^5C_1 = \frac{5!}{4!1!}\)
\(^5C_1 = \frac{5*4!}{4!*1}\)
\(^5C_1 = 5\)
Selecting Red:
\(^8C_3 = \frac{8!}{(8-3)!3!}\)
\(^8C_3 = \frac{8!}{5!3!}\)
\(^8C_3 = \frac{8*7*6*5!}{5!3*2*1}\)
\(^8C_3 = \frac{8*7*6}{6}\)
\(^8C_3 = 8*7\)
\(^8C_3 = 56\)
Number of Selection = 5 * 56
\(Selection = 280\)
Total Available Selection is calculated as thus:
\(Available\ Selection = 70 + 280\)
\(Available\ Selection= 350\)
Next, is to calculate the number of possible selections:
i.e 4 balls out of 13
This is calculated as:
\(^{13}C_4 = \frac{13!}{(13-4)!4!}\)
\(^{13}C_4 = \frac{13!}{9!4!}\)
\(^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}\)
\(^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}\)
\(^{13}C_4 = \frac{17160}{24}\)
\(^{13}C_4 = 715\)
\(Probability = \frac{Available\ Selection}{Possible\ Selection}\)
\(Probability = \frac{350}{715}\)
\(Probability = \frac{70}{143}\)
9.
Order the following integers from least to greatest.
4
-5
-2
5
0
Answer:
-5, -2, 0, 4, 5
Step-by-step explanation:
Negatives are smaller than positives. Using a number line can help too.
Lee la siguiente situación y completa:
Para lanzar una nueva revista en una ciudad se va a preguntar a sus habitantes acerca de sus temas de interés. Para ello, se realiza una encuesta telefónica en forma aleatoria a 40.000 personas.
De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.
¿Cómo identificar la información faltante?Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.
En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.
Nota: Esta pregunta está incompleta. Aquí está la información completa:
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3(x + 2) + 4 = 3x + 9 prove this is not an identity
The linear equation has no solutions, thus, it is not an identity.
How to prove that the equation is not an identity?An equation is an identity if it is true for any value of x.
So, if here we can find a unique solution ( or not solutions at all) for the linear equation, then we will prove that the equation is not an identity.
The linear equation is:
3*(x + 2) + 4 = 3x + 9
If we simplify the left side, we will get:
3*(x + 2) + 4 = 3x + 9
3*x + 3*2 + 4 = 3x + 9
3x + 6 + 4 = 3x + 9
3x + 10 = 3x + 9
Subtracting 3x in both sides we will get:
10 = 9
This equation has no solutions, then it is not an identity.
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Identify the range of the function shown in the graph. 10 . 0 <= y <= 5 B. y > 0 . y is all numbers D - 5 <= y <= 5
The range of the absolute function will be from 0 to 9. Then the correct option is A.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = | x - h| + k
The domain means all the possible values of x and the range means all the possible values of y.
From the graph, the range of the absolute function will be from 0 to 9.
Then the correct option is A.
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The complete question is attached below.
The estimate obtained from a sample of which of the following sizes would
most likely be closest to the actual parameter value of a population?
OA. 30
OB. 150
O C. 90
D. 300
The sample size of 300 would most likely be closest to the actual parameter value of the population.
We have to find the a sample of which of the sizes which would
most likely be closest to the actual parameter value of a population.
In general, as the sample size increases, the estimate obtained from the sample is more likely to be closer to the actual parameter value of the population.
This is because a larger sample size provides more information and reduces the impact of sampling variability.
Therefore, among the given options, the estimate obtained from a sample size of 300 would most likely be closest to the actual parameter value of the population.
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4x – 2y = 10
у=-2x-1
Answer:
I love algebra
The ans is in the picture
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x - 2(-2x - 1) = 10
4x + 4x + 2 = 10
8x + 2 = 10
8x = 8
x= 1
y = -2(1) - 1
y = -2 - 1
y = -3
(1, -3)
Mary Beth uses 7/12 yards of fabric to make a pillow. How much fabric will she need? Between what two whole numbers
The range of whole numbers between which the decimal falls is 0 yards to 1 yard.
What is a whole number?The whole number is set to positive integers including 0. i.e 0, 1, 2, 3, and so on.
To find the total amount of fabric Mary Beth needs to make a pillow, we first need to convert 7/12 yards into a decimal. To do this, we can divide the numerator by the denominator:
7/12 = 7 / 12 = 0.5833...
So, Mary Beth needs approximately 0.5833 yards of fabric to make a pillow.
To determine the range of whole numbers between which the decimal falls, we can round up to the next whole number (1 yard) and round down to the previous whole number (0 yards). Therefore, the range of whole numbers between which the decimal falls is 0 yards to 1 yard.
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Which of the following represents a fraction that converts to a repeating decimal with a value less than one?
a. 1/2 b. 4/3 c. 9/10 d. 4/9
Cold Beans wants to make a blend of their two best coffees, Guatemalan and Jamaican coffee. The pound of Guatemalan Coffee costs $11/lb and the other one costs $5/lb. If they want the cost of a 6 pound bag of blend to be $8/lb, how much Guatemalan coffee should they use per pound of the blend?
For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.
Given information:
Cost of Guatemalan coffee = $11/lb
Cost of the other coffee = $5/lb
Desired cost of the blend = $8/lb
Total weight of the blend = 6 pounds
To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:
\((x \times 11 + (6 - x) \times 5) / 6 = 8\)
In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.
The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.
Now, let's solve the equation for x:
(11x + 30 - 5x) / 6 = 8
6x + 30 = 48
6x = 48 - 30
6x = 18
x = 18/6
x = 3
Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.
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f(x)=3x-7 and g(x)=(1/3)x+7 are inverses of each other.
.True
.False
Answer:
False
Step-by-step explanation:
Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Let u = ⟨–2, –3⟩ and v = ⟨3, –1⟩. Which graph shows u – v?
A) The first graph
Correct on Edge
Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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Sam raked 4 bags of leaves in 18 minutes. If he continues to work at the same rate, how long will to take him to rake 6 bags?
Answer:
27 minuets
Step-by-step explanation:
Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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Select ALL the correct answers.
For ΔABC, which two relationships are true?
An Image of a right-angle triangle BAC with B at the right angle. With an angle of (90 minus theta).
Answer:
Step-by-step explanation:
An Image of a right-angle triangle BAC with B at the right angle. With an angle of (90 minus theta).Refers to the attachment given below10-9 x (-6) evaluate pls help!!!
Answer: 1: (16), 2: (8) & 3: (1/2)
Step-by-step explanation: multiple choice
Answer:
\(10−9(−6) \\ 10+54 \\ 10+54 \\ 54+10 \\ Factor \: by \: grouping \\ Factor \: by \: grouping \\ 10−9(−6) \\ 2(27+5) \: is \:the \: correct \: answer \\ gamsahaeyo\)
find the perimeter please i need help
Answer:48
Step-by-step explanation:add up all the sidees
The table shows Tonya's homework assignment. Tonya's teacher instructed the class to simplify each expression by dividing the numerator and denominator by the GCF.
Complete the table by simplifying each expression and then finding the value.
Divide the numerator and denominator by the GCF to reduce a fraction. (This is also referred to as "writing a fraction in the simplest terms.") The common factors are sometimes shown to be "cancelled." It is worth noting that the result is an equivalent fraction in its simplest form.
How do you divide the numerator to the denominator by GCF?To put it simply, we must divide the numerator (x) by the denominator (y) to simplify it. For example, after simplifying 3 6, represent it as a fraction and identify the numerator and denominator. 3 6 can be written as 3/6. Further simplification yields 1/2.
Let's pretend the fraction is a proper fraction. The denominator is the numerator. We want to reduce the fraction to its simplest form.
a) Use Numerator =Remainder* as the denominator.
Now Numerator >Remainder* b)Numerator Remainder*=Remainder** c) ••• (keep going until Remainder =0)
d) When the Remainder equals zero, the Divisor is the GCD (or GCF, as you say). GCF is a misnomer because it only deals with numbers. Only the term GCF applies to variables (with numerical values, as in algebraic expression).
Let us look at an example.
407/3367 is the fraction.
As evident, the numbers407 ,3367 does not appear to have share Divisors 2 or 3 or 5 or 7 or 11 from prima facie considerations. So we may take recourse of successive division method.
3367 ÷407 =Remainder 111 (quotient 8)
407 ÷ 111 =Remainder 74 (quotient 3)
111 ÷74=Remainder 37 (quotient 1)
74 ÷37 =Remainder 0 (ZERO )
Here 37 divides leaving Remainder zero. Therefore the GCD is 37
Fraction 407 /3367 =(407 ÷37)/(3367÷37)=11/91
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-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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