Select all the functions whose graphs include the point (4,1)
A: y=2x
B: y=1/4x
C: y=x+12
D: y=X-3
E: x^2
The functions whose graphs include the point (4,1) are y = (1/4)x and y = x - 3
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
To check whether a point is on the graph of a function, we can substitute the coordinates of the point into the equation of the function and see if the equation is true.
Substituting (4, 1) into each of the functions, we get:
A: y = 2x -> 1 = 2(4) = 8 (false)
B: y = (1/4)x -> 1 = (1/4)(4) = 1 (true)
C: y = x + 12 -> 1 = 4 + 12 = 16 (false)
D: y = x - 3 -> 1 = 4 - 3 = 1 (true)
E: y = x^2 -> 1 = 4^2 = 16 (false)
Therefore, the functions whose graphs include the point (4,1) are y = (1/4)x and y = x - 3
To learn more on slope intercept form click:
https://brainly.com/question/9682526
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Factor completely: 16x^2 - 4
Step-by-step explanation:
16x^2 - 4
4(4x²-1)
4((2x)²-1²)
4(2x+1)(2x-1)
Answer should be,
4(2x + 1)2
Hope this helps! Good luck!
Can someone please do this!! I need the work done with it !:( it’s due tonight
7b) A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of
vinegar. The line represents the relationship between the amount of oil and the amount of
vinegar needed to make salad dressing according to this recipe. The point (1,1.5) is on the
line.
In the box below, write an equation that represents the relationship between oil (o) and vinegar (V)
Explain the meaning of the point (1,1.5).
Answer:
the meaning of 1, 1.5 is that 1.5 is the oil sad and the 1 is the vinegar.
Step-by-step explanation:
Help me answer the question in the image!
Answer:
29107
Step-by-step explanation:
Every next 'level', a ring of balls is added.
The ring has 6 sides of n balls, but you would then count all 6 corners double, so you have to subtract 6.
So Bₙ = Bₙ₋₁ + 6n - 6
This gives you a sequence of 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, ...
All the way up to 29107 at 100 balls.
find the mean median and mode of 5, 9, 7, 12, 6, 4, 10, 8, 14, 9, 4
Answer:
Mean:8
Median:8.5
Mode:9,4
Step-by-step explanation:
Mean Steps:
mean(5,9,7,12,6,4,10,8,14,9,4)
To find the mean of the set 5,9,7,12,6,4,10,8,14,9,4 first add the members together.
5+9+7+12+6+4+10+8+14+9+4=88
The mean (average) of the set 5,9,7,12,6,4,10,8,14,9,4 is found by dividing the sum of its members by the number of the members, in this case 11.
88/11 = 8
Mode Steps:
Mode(5,9,7,12,4,10,8,14,9,4)
The mode of a set is the value that appears most often. The mode can have more than one value if two or more values appear the same number of times and more times than any other values in the set.
mode(5,9,7,12,4,10,8,14,9,4)
Putting the numbers in order can make it easier to find the mode because values that appear more than once will be next to each other.
4,4,5,7,8,9,9,10,12,14
In this case the mode has more than one value because 9 and 4 both appear 2 times, more often than any other values.
mode(4,4,5,7,8,9,9,10,12,14)=9,4
If the area of the rug in this den 80 square feet and the width of the carpet is 8’,what is the perimeter of the rug?
A. 10’
B.36’
C.176’
D.180’
Antonio baked 150 muffins of
All the muffins he baked 46% of them were blueberry How much blueberry muffins did Antonio bake
Answer:
69
Step-by-step explanation:
150x.46=69
or
46% of 100= 46
half of 100 is 50
46% of 50 =23
23+46=69
Which equation means the same as two more than the number of
apples is 5?
Group of answer choices
A. 2 + 5 = a
B. 2(a + 5) = 10
C. 2a + 5 = 5
D. a + 2 = 5
Answer:
D. a + 2 = 5
Step-by-step explanation:
apples + 2 more = 5 total
HELP FAST!!!!
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
A. -3x + 4y = 3
B. -1.5x − 3.5y = -31.5
C. 2x + y = 20
D. -2.25x + y = -9.75
Answer:
[tex]-1.5x - 3.5y =- 31.5[/tex]
Step-by-step explanation:
Given
AB: [tex]-7x + 3y = -21.5[/tex]
[tex]PQ(x_1,y_1) = (7,6)[/tex]
Required
Determine the equation of PQ
First, we calculate the slope of AB:
[tex]-7x + 3y = -21.5[/tex]
Make 3y the subject
[tex]3y = 7x - 21.5[/tex]
Make y the subject
[tex]y = \frac{7}{3}x - \frac{21.5}{3}[/tex]
An equation has the general form:
[tex]y = mx + b[/tex]
Where m = slope
So:
[tex]m = \frac{7}{3}[/tex] -- Slope of AB
From the attached diagram, we can see that PQ is perpendicular to AB.
This means that, the relationship between their slope is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Substitute 7/3 for m1
[tex]m_2 = -\frac{1}{7/3}[/tex]
[tex]m_2 = -\frac{3}{7}[/tex]
The equation of PQ is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = m_2 = -\frac{3}{7}[/tex]
and
[tex]PQ(x_1,y_1) = (7,6)[/tex]
So, we have:
[tex]y - 6 = -\frac{3}{7}(x - 7)[/tex]
Multiply both sides by 7
[tex]7(y - 6) = -\frac{3}{7}(x - 7)*7[/tex]
[tex]7y - 42 = -3(x-7)[/tex]
Open bracket
[tex]7y - 42 = -3x + 21[/tex]
Collect Like Terms
[tex]3x + 7y = 42 + 21[/tex]
[tex]3x + 7y = 63[/tex]
Divide through by -1/2
[tex]-\frac{1}{2}(3x + 7y) = -\frac{1}{2}*63[/tex]
[tex]-1.5x - 3.5y =- 31.5[/tex]
The equation of PQ is: [tex]-1.5x - 3.5y =- 31.5[/tex]
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
Got it right on the test. ; )
What is -6(4x+2) in math?
Helppp MEEEEEEE!!!!! what is 3(-2)-15+2=
And plzzzzzzzz show your work
Answer:
Step-by-step explanation:
3(-2)-15+2 = -6-15+2 = -21+2 = -19
Answer: -19
Step-by-step explanation:
3(-2)-15+2
Multiply the 3 and -2 because of the parenthesis first:-6-15+2
Next just put the negative numbers together:-21+2
Then just do -21+2=-19
An employee plays $75 towards health insurance, while the employer pays $350. What is the ratio of the employers contribution to the employees contribution?
Answer:
350:75?
fraction form: 350/70
Step-by-step explanation:
If I make 10$ for working 6 hours if I wanted to make 8$ how many hours do I have to work
Answer:
4.8 hours
Step-by-step explanation:
6=10$
divide by 10
0.6=1$
multiply by 8
4.8=8$
Answer:
4.8
Step-by-step explanation:
Well, if you work for 6 hours, and earn 10$, then, you are earning 10/6$ per hour. So, we can estanblish the equation:
10/6$ * x hours = 8$.
x = 4.8 hours.
Write a system of linear inequalities so the points (1, 2) and (4, −3) are solutions of the system, but the point (−2, 8) is not a solution of the system. PLEASE SOMEONE HELP AND SOLVE IT AS A SYSTEM OF LINEAR EQUATIONS
Answer:
The sample system is given below:
y < 5 y > x - 8see the attached for the graph
The points (1, 2) and (4, -3) are in the intersected region but the point (-2, 8) is outside
The easy way to get the inequalities to plot the points and add lines to divide the regions where desired point are inside and not required point is outside. I put y = 5 and y = x - 8 lines and shaded the region below y = 5 line and above the other line.Helppp plzzzzzzzzzzzzzz
Answer:
equivalent
Step-by-step explanation:
i just know
en este caso hay dos expresiones algebraicas equivalentes que representen el área del círculo Cuáles son las esas expresiones equivalentes a 153.86
Answer:
I don't speak Spanish so sorry can't help
Please hep me with this question. Thanks!
1 + 2 + x 7 + 2?
Answer:
7x+5
Step-by-step explanation:
What is the slope of the line that passes through (3,3) (7,6)?
Answer:
3/4 i think
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
slope=(y_2-y_1)/(x_2-x_1)
slope=(6-3)/(7-3)
slope=(3)/(4)
slope=0.75
Y= 5x+3 find the slope m=
Answer:
m = 5
Step-by-step explanation:
.........................
A bag of 1.2kg of apples costs £3.66. How much do they cost per kilogram?
Find the sixth term of the geometric sequence with a first term of 9 and common ratio of 2
════════ ∘◦❁◦∘ ════════
Answer = 288════════════════════
KnownU1 = 9
r = 2
════════════════════
QuestionU6 = ?
════════════════════
Way to do[tex]un = a(r {)}^{n - 1} [/tex]
[tex]u6= 9(2 {)}^{6 - 1} [/tex]
[tex]u6 = 9( {2}^{5} )[/tex]
[tex]u6 = 9(32)[/tex]
[tex]u6 = 288[/tex]
════════════════════
Notes• Formula of geometric sequence
[tex]\boxed{\ un = a( {r)}^{n - 1}} [/tex]
• Meaning
Un = nth term
a = 1st term
r = ratio
════════════════════
What about the equation?
Answer:
hmm...Umm not sure what that is You are talking about
Answer:
which equation?? mmmmm.........
Please help me solve this
Answer:
8.96
Step-by-step explanation:
Factorize
2(x+y) ²+9 (x+y)+7
Answer:
(2x+2y+7)(x+y+7)
Step-by-step explanation:
I suspect this is what you are expected to do.
Define z=x+y
2z^2+9z+7
2z^2+2z+7z+7
2z(z+1)+7(z+1)
(2z+7)(z+1)
(2x+2y+7)(x+y+7)
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
HELP!!
Which of these matrices have a positive determinats??
Answer:
3 and 4!!
hope this helps!!!
I need this help me please
Try asking your teacher's different methods!! Best of luck!
this is a self evaluation thing because j want to get better at math
Answer:
SAS for similarity
Step-by-step explanation:
I can tell you from this is that ∠TUS ≅ ∠WUV, because they are vertical angles.
The triangles cant be congruent by SSS, SAS, or ASA because the sides are not equal.
However, they are similar because 45/15 = 3 and 36/12 = 3. That would be the SAS for similarity.
Complete the square to solve 3x2 + 12x = 9.
O A. x=2+1
O B. %= 3 + 6
OC. X=-2+
O D.%-
D. x=-2 + 13
Answer:
C) x = -2 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
3x² + 12x - 9 = 0
divide through by 3
x² + 4x - 3 = 0
add 3 to each side
x² + 4x = 3
divide 4 in half and square it; add it to each side of equation
x² + 4x + 4 = 3 + 4
(x + 2)² = 7
x + 2 = [tex]\sqrt{7}[/tex]
x = -2 ± [tex]\sqrt{7}[/tex]