Answers
Answer:
D, neither
Step-by-step explanation:
If you want to solve this through elimination, just substitute the given points in each choice. (a,b) → (x,y)
In a coordinate the first number is the x value, and the second is the y.
All you have to do is substitute the indicated values given in the coordinate into the point slope equation, and determine whether or not the equation is true. If the equation is true (for example 1 = 1) the order pair IS a solution. If the equation is false (for example 1 = 2), than the ordered pair IS NOT a solution.
If you want to look at this linear equation solving for the quantity y, then use slope intercept.
Choice 1 is incorrect because (5,4) →
y - 4 = 7(x - 6) → (4) - 4 = 7((5) - 6) →
0 = 7(-1) → 0 = -7 (0 is never equal to -7) ; contradictory
Choice 2 is incorrect because (6,5) →
y - 4 = 7(x - 6) → (5) - 4 = 7((6) - 6) →
1 = 7(0) → 1 = 0 (1 is never equal to 0) ; contradictory
Therefore Choice 3 must be incorrect as well because neither of these two pairs are solutions, so combining two pairs that do not satisfy the equation does not make it any more true.
Since Choice 4 is the remaining choice, it must be the correct answer.
The points that fit on this line are given by the slope intercept equation: y = 7x - 3.
To convert point slope form to slope intercept form, first distribute everything in the parenthesis. Then remove all the terms besides y from the left side of the equation to the right:
y - 4 = 7(x - 6) → y - 4 = 7(x) + 7(-6) →
y - 4 = 7x - 42 → y - 4 + 4 = 7x - 42 + 4 →
y = 7x - 38.
Just substitute the x or y value into the equation, and find the corresponding y or x variable that fits the line.
Related Questions
Simplify the expression:
5a - 2a + 9
Answers
Answer:
3a+9
Step-by-step explanation:
Answer:
3a+9
Step-by-step explanation:
5-2=3 then 3a=9 it pretty simple
please help!!!!!!!!!!!
Answers
Answer:
x= 40
Step-by-step explanation:
The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.
Answer:
40
Step-by-step explanation:
[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]
please mark as brainliest
Please Please PLEASE help me
How do I solve this using the quadratic formula? −6x^2−2−3x=−8
Could you also show your work?
Thanks
Answers
Answer:
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Step-by-step explanation:
First, we need to get the equation into the polynomial form. Add 8 to both sides:
[tex]-6x^{2} -2-3x=-8[/tex]
[tex]-6x^{2} +6-3x=0[/tex]
Rearrange the equation so that it is in standard form:
[tex]-6x^{2} -3x+6=0[/tex]
Remember the quadratic formula:
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the coefficients of the problem when it is in standard form. In this case, [tex]a=-6[/tex], [tex]b=-3[/tex], and [tex]c=6[/tex]. Now, all we need to do is plug those into the quadratic formula.
[tex]\frac{-(-3)+/-\sqrt{(-3)^{2}-4(-6)(6)} }{2(-6)}[/tex]
Simplify:
[tex]\frac{3+/-\sqrt{153}}{-12}[/tex]
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Hope this helps!
Expand and simplify (x + 3)(x-4)
Answers
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.
PLS HELP
Answers
Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answers
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
A grid shows the position of a subway stop and your house. The subway stop is located at (-10,-1) and your house is located at (-18,-16). What is the distance between your house and the subway stop?
A. 15
B. 27
C. 19
D. 17
Answers
Answer: 15
Step-by-step explanation:
. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?
Answers
Answer:
4milesStep-by-step explanation:
Step one:
given
speed, v= 4mph
time taken t=1 hour
The velocity is defined and the rate of change of displacement
Required:
Distance traveled
we know that the expression relating distance, velocity and time is
velocity= distance/time
distance= velocity* time
substitute we have
Distance=4*1
Distance= 4miles
The distance traveled and the displacement of the honeybee in miles 4miles
What’s 14/4 as a decimal
Answers
Answer:
3.5
Step-by-step explanation:
You would do 14 divided by 4! Hope this helped
Answer:
3.5
Step-by-step explanation:
14 divided by 4 equals 3.5
what is the distance between the points (0,-7) and (0, -1)
Answers
Answer:
(0,6) is the answer.................
Answer: 6 but also (0,6)
Step-by-step explanation:
In the X-axis : 0, 0 the difference is 0
In the Y-axis : -7, -1 the difference is 6
Because -7+6= -1
What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?
Answers
Answer:
the answer would be t56 im guess ing along with x
Step-by-step explanation:
The line of symmetry for the parabola represented by the equation is
x = 1.
What is a parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given an equation of a parabola, y = -x²+2x+6
Factorizing the equation, we get,
x = 1+√7 or x = 1-√7
We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.
We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:
(1+√7 + 1-√7)/2 = 1
Hence, the equation represents the line of symmetry of the given parabola is x=1.
For more references on parabola, click;
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Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?
Answers
Answer:
The puppy's adult weight would be 25 lbs.
Step-by-step explanation:
5 / .20 = 25
To check:
25 x .20 = 5
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)
Anybody know the slope to this?
Answers
PLEASE HELP ME OUT! WIL GIVE BRAINLIEST TO ANYONE WHO ANSWERS BOTH OR ATLEAST ONE AND SHOW WORK!! THANK YOUU
Answers
Answer 1 is the attached pic
Answer:
16
Step-by-step explanation:
(-2i)(8i)
(2(cos(3π/2)+i×sin(3π/2)))×(8(cos(π/2)+i×sin(π/2)))
2×8(cos(3π/2+π/2)+i×sin(3π/2+π/2))
16(cos(2π)+i×sin(2π))
16(cos(0+2π)+i×sin(0+2π))
16(cos(0)+i×sin(0))
16(alternate form)
Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answers
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
Dominic wants to test if one of two types of fertilizer (a standard fertilizer and a new product) is better for producing melons of equal weight after a three-month fertilization program. Dominic has two identical land plots (1 and 2) and is considering how to assign 30 melon plants, each of which has a numbered tag, to the fertilizer. What is the best way to do this as a matched-pairs design?
A. Put all the odd-numbered melons in plot 1 and the even-numbered melons in plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
B. Assign the melons completely at random to the two plots using a coin flip, heads meaning plot 1 and tails meaning plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
C. Obtain pairs of melon plants whose seedling heights are roughly equal at the start of the experiment and randomly assign one of the pair to plot 1 and the other to plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
D. Obtain pairs of melon plants whose seedling heights are roughly equal at the start of the experiment and put the taller of each pair into plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
E. Divide the 30 melon plants into two groups, with the 15 tallest seedlings in one group. Randomly choose which plot to assign the tallest plants and assign the smallest plants to the other plot. Then give the standard fertilizer to plot 1 and the new product to plot 2.
Answers
Answer:
C
Step-by-step explanation:
A. is wrong because having a different height for each seedling and not trying to keep it equal is simply worse than making sure the heights are identical.
B. Completely wrong because it would likely result in 1 plot having more melon seedlings than the other.
C. Correct because it makes sure the seedlings are the same height at the beginning of the experiment, allowing less randomness in the experiment.
D. Putting the taller of a each pair for 1 plot makes it the experiment rigged in favor of the plot with taller seedlings
E. Same issue as D.
Solve (-2/5) (-1 1/4)
Answers
Answer:
-1/9
Step-by-step explanation:
y2-y1
x2-x1
Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP
Answers
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answers
Answer:
Step-by-step explanation:
3x + y + 72 = 180
3x + y = 108 .... (1)
2x + y = 90 ..... (2)
(1) - (2)
x = 18°
y = 54°
Answer:
Step-by-step explanation:
22
21. Admission to a science museum is $22
for an adult. The cost for a child is $5 less
than the cost for an adult. What would be
the total cost of admission for 12 adults
and 15 children? Explain.
Answers
Answer:
519
Step-by-step explanation:
We know the admission for adults is $22, and the kids ticket is 5 less.
22 - 5 = 17
now we know the kids ticket is $17
12 adult tickets - 22 x 12 = 264
15 children - 15 x 17 = 255
264 + 255 = 519
Please help if you know trig, will give brainliest! Thank you!
Answers
Answer:
sin^2(a) I believe. Delete my response if needed.
Step-by-step explanation:
tan²(α) (2 cos²(α) + sin²(α) - 1)
Recall that sin²(α) + cos²(α) = 1 for all α. Then sin²(α) - 1 = -cos²(α) :
tan²(α) (2 cos²(α) - cos²(α))
tan²(α) cos²(α)
Rewrite tan(α) = sin(α) / cos(α) :
(sin(α) / cos(α))² cos²(α)
(sin²(α) / cos²(α)) cos²(α)
Cancel the factors of cos²(α) :
sin²(α)
Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.
Answers
Answer:
-2.4 · [tex]10^{5}[/tex]
Step-by-step explanation:
A car is traveling at a steady speed. It travels 1 and 3/4 minutes in 2 and 1/3 minutes how far will it travel in 41 minutes
Answers
Answer:
54 6653/10000
Chuck took a slice of pizza from the freezer and put it in
the oven. The pizza was heated at a constant rate. The
table compares the pizza's temperature (in degrees Celsius) and the time since Chuck started heating it (in minutes). 4 minutes is 25 degrees celsius, 6 minutes is 40 degrees celsius and 8 minutes is 55 degrees celsius. How many minutes will it take for the pizza to reach 100 degrees celsius?
Answers
Answer:
16 Minutes
Step-by-step explanation:
[tex]\frac{4}{25} \\ \\[/tex] = [tex]\frac{16\\}{100}[/tex]
Both the numerator and denominator is multiplied by 4.
Mr.Smith saved $15 by buying a tool at a 10% discount. What was the original price for the tool?
Pls i'll mark brainliest i beg you ppl i need the answer in a couple min.
Answers
Answer:
$150
Step-by-step explanation:
Well we know that 10% is going to equal 1/10 of 100%.
So now just multipy 15% times 10 to get the original price.
Kiara made the table below to show the IQ scores and grade point averages (GPAs) of students in her class. She made another table to show the standardized test scores and IQ scores.
IQ, GPA, and SAT Scores
IQ
GPA
IQ
Standardized Test Score
120
3.7
120
1540
85
2.3
85
800
110
3.0
110
1,200
96
2.7
96
1000
100
2.9
100
1100
She graphs the data in each table and writes the rounded values as shown for the regression line y = a x + b.
I Q and G P A. a = 0.04. b = negative 0.9. I Q and Standardized Scores. A = 20. b = negative 924.
Next, Kiara uses the steps below to predict a student’s standardized test score based on the student’s GPA of 4.0.
Step 1 Write the equation of the trend line for IQ and GPA.
y = 0.04 x minus 0.9
Step 2 Write the equation of the trend line for IQ and standardized test score.
y = 20 x minus 924
Step 3 Find the IQ that is expected from a GPA of 4.0.
y = 0.04 x minus 0.9. 4 = 0.04 x minus 0.9. 4.9 = 0.04 x. 122.5 = x.
The IQ is about 122.5.
Step 4 Find the corresponding standardized test score for an IQ of 122.5.
122.5 = 20 x minus 924. 122.5 = 20 x minus 924. y = 523.
The standardized test score is 523.
In which step did Kiara make the first error?
step 1
step 2
step 3
step 4
Answers
Answer:
Step 4 D
Step-by-step explanation:
Answer:
step 4
Step-by-step explanation:
HELP ASAP WILL GIVE BRANILEST Consider the inequality 7 + 4x > x − 2. Select all the values of x that are solutions.
THERE IS MORE THAN ONE ANSWER
Group of answer choices
x = 0
x = 3
x = 6
x = −3
x = −6
Answers
Answer:
x=3, x=6, x=-3, x=-6
Step-by-step explanation:
So, every single one except 0.
x > -3
x is greater than -3.
i.e -2, -1, 0, 1, 2, 3, 4, 5, . . . . .
From the given option we can select the correct answers.
We see that,
0, 3, and 6 are the correct answer.
The values of x that are solutions to the given inequality are 0, 3, and 6.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
7 + 4x > x - 2
Solve for x.
7 + 4x > x - 2
Subtract x on both sides.
7 + 4x - x > -2
7 + 3x > -2
Subtract 7 on both sides.
7 + 3x - 7 > -2 - 7
3x > -9
Divide both sides by 3.
x > -3
This means x is greater than -3.
i.e -2, -1, 0 , 1, 2, 3, 4, 5, . . . . .
From the given option we can select the correct answers.
We see that,
0, 3, and 6 are the correct answer.
Thus,
The values of x that are solutions to the given inequality are 0, 3, and 6.
Learn more about inequalities here:
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Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence.
Answers
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
Put these into y=mx+b format SHOW YOUR WORK!!!! x-7y=7 and 6x-7y=-28
Answers
Explanation:
x - 7y = 7
-7y = -x + 7
y = (-1/-7)x + 7/-7
y = (1/7)x - 1
6x - 7y = -28
-7y = -6x - 28
y = (-6/-7)x - 28/-7
y = (6/7)x + 4
-x -x (isolate the y by subtracting x on both sides)
-7y= -x+7
— ——-
-7 -7 (Isolate the y by dividing both sides by -7)
Answer : y= 1/7x - 1
6x-7y= -28
-6x. -6x
-7y = -6x -28
—— ———-
-7. -7
Answer : y= 6/7x + 4
Write an integer for the situation: 1,464 feet above sea level
Answers
Answer:
The answer is 1,464.
The answer will be -1,464, when 1464 is "below sea level".
I hope it help you...