Answer:
The equation in slope-intercept form is;
[tex]y = -\dfrac{1}{4} \cdot x + 4\frac{3}{4}[/tex]
Step-by-step explanation:
The equation of a straight line in slope and intercept form is given as follows;
y = m·x + c
Where;
m = The slope of the line
c = The y-intercept of the line
The points through which the line passes are;
(7, 3) and (-1, 5), therefore, the slope of the line, m, is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where (x₁, y₁) = (7, 3) and (x₂, y₂) = (-1, 5), we have;
[tex]Slope, \, m =\dfrac{5-3}{(-1)-7} = -\dfrac{1}{4}[/tex]
Therefore;
[tex]\dfrac{y-3}{x-7} = -\dfrac{1}{4}[/tex]
The equation in point slope form is therefore;
[tex]y - 3 = -\dfrac{1}{4} \times (x - 7)[/tex]
From which we have;
y - 3 = -1/4×(x - 7) = -x/4 + 7/4
y = -x/4 + 7/4 + 3 = -x/4 + 19/4
The equation in slope-intercept form is therefore;
[tex]y = -\dfrac{1}{4} \cdot x + 4\frac{3}{4}[/tex]
Which can be expressed as follows
y = -0.25·x + 4.75.
Complete the steps to find the value of x
72°
(7x + 24)°
Plaza Corporation purchased 70 percent of Square Company's voting common stock on January 1, 20X5, for $291,200. On that date, the noncontrolling interest had a fair value of $124,800 and the book value of Square's net assets was $380,000. The book values and fair values of Square's assets and liabilities were equal except for land that had a fair value $14,000 higher than book value. The amount attributed to goodwill as a result of the acquisition is not amortized and
In a purchase acquisition, the purchase price is allocated to the fair value of the net assets acquired. In this case, Plaza Corporation has purchased 70% of Square Company's voting common stock.
Since the noncontrolling interest in Square is 30% and has a fair value of $124,800, the implied fair value of Square Company is $178,285 ($291,200 - $124,800).The difference between the purchase price and the fair value of net assets acquired represents goodwill. The fair value of net assets acquired is $380,000 + $14,000 = $394,000. Therefore, the goodwill is $116,485 ($178,285 - $394,000).The goodwill is not amortized but is subject to impairment testing at least annually. The goodwill impairment test compares the fair value of the reporting unit, in this case, Square Company, to the carrying amount of the reporting unit, including the goodwill. If the fair value of the reporting unit is less than its carrying amount, an impairment loss is recognized, which reduces the carrying amount of the goodwill.
Based on the provided information, the amount attributed to goodwill as a result of the acquisition is $116,485. It is not amortized but is subject to impairment testing at least annually.
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Explain and illustrate the difference between a term and a coefficient
Answer:Term is something that is being added together. Factor is something that is being multiplied together. Coefficient is a number that is being multiplied by the variable.
hope this helpppppppyuuuuuuuuu
Step-by-step explanation:
Helpppp pleaseee which is linear and non
Answer:
the 2 one is a linear and the rest are non
ANSWER ASAP PLEASE
DUE TODAY
Answer: for question A 17.5
Step-by-step explanation: in q.a. Beggin with division first then add and subtract normally
The sum of one interior and one exterior angle of a triangle is degrees.
Answer:
the oppostite
Step-by-step explanation:
WHICH EXCELLENT MATHS EXPERT IS WILLING TO HELP ME ANSWER THIS QUESTION PLEASE⁉️
I NEED THE ANSWER ASAP‼️‼️‼️‼️
Answer:
a = 101
b = 83
c = 97
d = 79
A plumber has a 10' piece of PVC pipe how many 9/5 foot pieces can be cut from the 10' piece
Answer:
5.55555556
Step-by-step explanation:
Hope this helps!
How can you tell if three positive numbers form a
Pythagorean triple?
Answer:
Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), where a and b are the two legs, and c is the hypotenuse, first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25.
Consider the sequence 18, 15, 12, 9, 6, 3, . . . . What is f(5)?
Answer:
It is 6 because
Step-by-step explanation:
When you see 18 to go 15 its going 3 times down and when you count to 6 its the 5th number so I think it is 6.
F(5)=6
6. x2= 1
—
100
Thank you (:
Answer:
Its asking what x 2=1 it would be
Step-by-step explanation: 0.5 or 1/2
What is the reason for each step in the solution of the equation?
-62 +72 +14=3
help plz hurry Which sentence from "Object Lesson, Part 2" most likely causes the reader to feel nervous??
He even emptied Louise's three pots of geraniums and sifted the earth.
The 41 boys and girls were buzzing and giggling now.
Feverishly he went through the remaining dollar-sized strips of comic paper.
This strip had been cut from the top of the comic sheet.
C. Feverishly he went through the remaining strips of paper
Answer:
C
Step-by-step explanation:
The key word "Feverishly", helps me determine the answer. (Also, I just took the test)
Online purchasing an online video store charges $24 for each DVD shipping cost $4per order find the cost of 3 DVDs
Answer:
$76.00
Step-by-step explanation:
$24+$24+24 (3 DVDs) + $4.00 per shipping per order. = $76.00
Answer:
$76
Step-by-step explanation:
We are buying 3 DVD's at 24 dollars each
3 * 24 = 72
There is only 1 shipping charge
4
Add the costs together
72+4 = 76
The cost is 76 dollars
in the diagram of movie theater seats, the incline of the floor, f, is parallel to the seats, s.
if m<1= 60, what is c?
if m<1= 68, what is y?
HELPPP PLEASEEE
Answer:
16. x = 40
17. y = 15
Step-by-step explanation:
16. Given that f is parallel to s, therefore by the corresponding theorem and linear pair theorem, <1 + 3x = 180°
60° + 3x = 180° (substitution)
3x = 180° - 60° (Subtraction property of equality)
3x = 120°
x = 120/3 (division property of equality)
x = 40
17. Since f and s are parallel, therefore,
m<1 = (5y - 7)° (alternate interior angles are congruent)
68° = 5y - 7 (substitution)
68 + 7 = 5y (addition property of equality)
75 = 5y
75/5 = y (division property of equality)
15 = y
FREE
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
Answer:
41
Step-by-step explanation:
someone asked this same question so if you need a better explanation copy and paste your question ito the box but here is how I got that
d=w2+l2=92+402=41
Solve for x.
−2(x+13)+9x=4
Enter your answer as a fraction in simplest form in the box.
Answer:
30/7
Step-by-step explanation:
what is the LEAST possible integer value and the greatest
Answer:
hey mate I guess ur question is incomplete......after greatest what is it? plz check
Answer:
Step-by-step explanation:
-4 < x < 9
1) Where is the midpoint of , when A (6, 7) and B (-9, -5)?
Answer:
(−1.5,1)
Step-by-step explanation:
Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (6,7) and p2 (-9,-5)
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (-9-6)2+(-5-7)2
d = √ ((-15)2+(-12)2)
d = √ (225+144)
d = √ 369
The distance between the points is 19.2093727122985
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(6+-9)/2=-1.5
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(7+-5)/2=1
The midpoint is: (-1.5,1)
Answer:
(-1.5,1)
Step-by-step explanation:
the midpoint between 6 and -9 is -1.5
the midpoint between 7 and -5 is 1
(-1.5,1)
which of the following statements is true? question 4 options: the population mean and a sample mean for a sample selected from the population will usually be different values. the mean of the population will generally be larger than the mean of the sample selected from that population. the population mean and sample mean will always be identical. the mean of a population will always be larger than the population standard deviation.
The statement that is true among the given options is: "The population mean and a sample mean for a sample selected from the population will usually be different values." This statement accurately describes the relationship between the population mean and a sample mean.
In statistics, the population mean refers to the average value of a variable in the entire population, while a sample mean represents the average value of the variable calculated from a subset of the population (a sample). It is important to note that unless the sample is the entire population itself, the sample mean will typically differ from the population mean.
The reason for this discrepancy is due to sampling variability. When we select a sample from a population, we are observing a smaller subset of the whole, which introduces some level of randomness or uncertainty. Different samples from the same population may yield slightly different values for the sample mean.
However, as the sample size increases, the sample mean tends to converge towards the population mean.
In summary, the population mean and sample mean are generally not identical, and their values are likely to differ due to sampling variability. The sample mean provides an estimate of the population mean, and the accuracy of this estimate improves with larger sample sizes.
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Pet stores selling dogs for 140 and cats for $70 yesterday the store sold 28 pets and I made 3360 how many cats were sold yesterday
Answer:
8
Step-by-step explanation:
8 × $70 = $560
20 × $140= $2800
$560 + $2800 = $3360
Find the image of A(3,7) translated using the rule (x,y)->(x-2,y+1)
Answer:
(1, 8)
Step-by-step explanation:
2 and 8 are ____ because they are ____
Answer:
congruent/alternate interior angles
Step-by-step explanation: congruent means theyre equal and interior means theyre both on the inside
anybody help me? please
Answer:
0 because we can't have Repetitious x in function.
Evaluate
18/29
×
4/3
Give your answer as a fraction in its simplest form.
Answer:
The answer is 24/ 29
Anthony bought a rug for his office. He made a scale drawing of the office using a scale of 1 in = 4 ft.
What is the area of the office floor not covered by the rug?
Brenda went to the store with her dad to buy snacks. They bought a box of 16 snack-size bags of chips for $7.84 and a box of 24 snack-size bags of pretzels for $12.48. How much more do pretzels cost per bag than chips?
Answer:
subtracting 7.84 from 12.48 will give 15.44 this is equal to 12 packets if you dived 12 by the price of 15.44 you will get your answer you may need to round
$0.03 pretzels cost more than cost of bag of chips.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
price of 16 snack- size bags of chips = 7.84
Cost of 1 bag of chip = 7.84 /16
= $0.49
and, price of 24 snack-size bags of pretzels = 12.48
Cost of 1 snack-size bags of pretzels = 12.48 / 24
= 0.52
Hence, by $0.03 pretzels cost more than cost of bag of chips.
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Solve 2y = 3y - 20
A.20
B.-20
C.-4
D.4
Answer:
D. 4
Step-by-step explanation:
The product of complex numbers (4,3) and(5,-6) is?
Answer:
The answer of this is (38,9)
Step-by-step explanation:
Answer:
38,9
Step-by-step explanation:
What is the right answer
The correct option is the first one, the leading coefficients are opposites.
What can we say about the leading coefficients?A general quadratic function is written as:
y = ax² + bx + c
The leading coefficient is a.
Here we have two quadratics, these are:
f(x) = ax² + bx + c
g(x) = kx² + jx + n
Notice that in the graph of (f + g)(x), we have a line instead of a quadratic, so the quadratic term is zero, this means that:
a + k = 0
a = -k
Then the leading coefficients are opposites, the correct option is the first one.
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