Answer:
The first set is a solution, the second is not.
Step-by-step explanation:
Testing by filling in the numbers into the equation:
(1, 1.5): x=1, y=1.5
⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]
⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]
⇒ 1.5 =? [tex]\frac{6}{4}[/tex]
⇒ 1.5 =? 1.5 ⇒ Correct: is indeed solution to the equation
(12, 4): x=12, y=4
⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]
⇒ 4 =? [tex]\frac{12}{4}[/tex] + [tex]\frac{5}{4}[/tex]
⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation
What is the slope intercept equation from the graph?
Please help thank u
Answer:
the desired equation is y = (-3/2)x + 3
Step-by-step explanation:
Two points through which the graph passes are (0, 3) and (2, 0). (0, 3) is the y-intercept. Thus, the slope-intercept equation y = mx + b becomes
y=mx + 3. Borrowing the coordinates of (2, 0) and substituting them into this last result, we get
0 = m(2) + 3,
which, after having been solved for m, gives us m = -3/2
and so the desired equation is y = (-3/2)x + 3.
Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determine the number of boards Devon's father will need for a 10 ft by 16 1/2 ft room. Plz plz help and the way to solve it plz!!!
Answer:
36 boards
Step-by-step explanation:
The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.
Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)
I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.
Therefore he needs 36 boards
graph the following features: slope= -3/2 y intercept = 2
Using the given information the equation of the line is y = -3/2x + 2
Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:
Using X = 0:
y = -3/2(0) + 2, y = 2
First point is (0,2)
Now X = 4:
y = -3/2(4) + 2 = -6 + 2 = -4
Second point = (4,-4)
See attached image with plotted line:
x pounds of candy valued at $3.50 per pound is mixed with y pounds of candy valued at $4.30 per pound to produce 10 pounds of a mixture selling for $4 per pound.
Find x and y, the number of pounds of each type.
PLEASE HELP!!!
which quadrilaterals always have diagonals that bisect opposite angles
An automatic doughnut machine can produce 1500 doughnuts in 9 hours.
How long would it take the machine to make 300 doughnuts?
Answer:
1 hr, 48 minutes
Step-by-step explanation:
you can create a proportion:
doughnuts/hours = doughnut/hours (h)
1500/9 = 300/h
cross-multiply to get:
1500h = 2700
h = 27/15
h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60
Geometry- Solve the portion. Question#3
Answer:
[tex]a=1[/tex]Step-by-step explanation:
First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]Answer:
a=1
Step-by-step explanation:
Hi there!
We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a
Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.
Therefore, the proportion will now be:
[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]
Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)
1(a+3)=4(1)
Multiply
a+3=4
Subtract 3 from both sides
a=1
Hope this helps!
he length of a rectangle is increasing at a rate of 7cm/s7cm/s and its width is increasing at a rate of 2cm/s2cm/s. When the length is 30cm30cm and the width is 20cm,20cm, how fast is the area of the rectangle increasing
Answer:
20
Step-by-step explanation:
There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?
Answer:
704 students can fit in the cafeteria a day
100 if u get this right!
Answer:
■ y = m x
m = slope
Here m = 4/3
,*,slope is 4/3
What is Part 1 and Part 2? I think I have these correct.
Step-by-step explanation:
part 1. Alternate Exterior angle
part 2. 110°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Help me out please !!!!
Answer:
B) 6<x<90
Step-by-step explanation:
48+42=90
48-42=6
There will be a number greater than and a number less than x.
90>6
6<x<90
Hope this helps :)
What does substitute mean logarithms.
Answer:
Substitution means putting numbers in place of letters to calculate the value of an expression.
Step-by-step explanation:
Imma need a really quick answer im on a real tight clock
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
the sum of 9 and a number
Answer:
E+ 9
Step-by-step explanation:
Let E represent a number.
The sum of nine and the number is then E+9 as "sum" denotes addition.
Therefore the representation would be E+9
please help me there are 3 more questions please
Answer:
Question 1: C) <5
Question 2: B) 139
Step-by-step explanation:
Question 1: They are looking for an angle with the same degrees as angle 4. There are for angles that have that, 1,4,5,8. When looking for the answer there is only one answer that fits in with those numbers, and that is answer C) <5.
Question 2: They provide us with the first angle of 139 degrees. Angle N corresponds with the first angle. Therefore angle N must be the same as the first angle, equaling 139 degrees.
John’s weekly salary is $428.25. His employer is changing the pay period to semimonthly. What will John’s semimonthly salary be to the nearest cent?
Answer: $856.50
Step-by-step explanation:
Semimonthly means twice a month.
2*(428.25) = $856.50
y=6x-5 convert the equation to standard form
Answer:
Add 6x to both sides.
y + 6x = -5
Reorder the left side so that the x term is first.
6x + y = -5
:)
IM SO CONFUSED!!! I need help what is the difference between 1+0 and 1x1 HURRY DUE TODAY
Answer:
one is addition the other is multiplication, though, both the sum and product equal the same solution
Step-by-step explanation:
hope it helps
Answer:
The answer is 0
Step-by-step explanation:
1+0=1
1x1=1
1-1=0
find out of the common factor.
30 and 60
Answer:
GCF of 30 and 60 is 30.
Step-by-step explanation:
I need help with this! Please asap
Answer:
1:Not
2:Not
3:Not
4:Not
5:Viable
6:Viable
7:Viable
8:Viable
9:Viable
10:Not
Step-by-step explanation:
What is s - -32 = 383 what does s =
Step-by-step explanation:
i dont know
Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.
The new graph will have equation y =
Answer: f(x)=3(x+4)+ 8
Step-by-step explanation:
Stretch vertically by a factor of 3: y = 3x
Then, translate two units leftward: y = 3(x+2)
Then, translate 8 units upward: y = 3(x+4)+ 8
using the diagram what is the intersection of plane ABCD and GC
A. Plane EFGH
B. Point D
c. Point C
D. Line CB
Answer:
The answer it's c. Point C
Flying against the jetstream, a jet travels 3280 miles in 4 hours. Flying with the jetstream, the same jet travels 5500 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
x + y = 3
2x + 2y = 6
Answer:
x = Infinite answers.
y = Infinite answers.
Step-by-step explanation:
x + y = 3
2x + 2y = 6
2x + 2y = 6
2x + 2y = 6
=> Therefore, x and y have infinite values that can fit the equation.
Hoped this helped.
A rectangle has a length that is 4 inches longer than it’s width .its perimeter is 36 inches which of the following is its area
54
64
77
81
Answer:
Area=77
Step-by-step explanation:
P=36
P=2l+2w
l=w+4
P=2(w+4)+2w
P=2w+8+2w
P=4w+8
36=4w+8
28=4w
w=7
l=7+4
l=11
A=lw
A=77
Can somebody help me with my Geometry?
Answer:
∠KJL = 45°
∠x=45°
∠DBC=67.47°
Step-by-step explanation:
x+x=90
2x=90
x=45°
Answer: there you go
Step-by-step explanation:
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
How large could the percent error in Jada’s measurement be? Remember her error is 1/8 (.125) of the orignial height. Round to the nearest tenth of a %.
Answer: 2.6%
Step-by-step explanation:
4 3/4 = 4.75 which I'll be using because its easier for me
0.125 / 4.75 = 0.0263157895
0.0263157895 * 100 = 2.63157895
2.63157895%
Rounded is 2.6%
A grandfather is ten times older than his granddaughter. He is also 54 years older than
her. How old is each of them?
Answer:
The present ages of the granddaughter and grandfather are 6 and 60 years.
Step-by-step explanation:
Let the present age of granddaughter be x years.
So, the present age of grandfather is 10x years.
According to the given condition, we have
10 x = 54 + x
9 x = 54
x = 6
10 x = 60
age of grandfather is 60
age of granddaughter is 6
Hence, the present age of granddaughter is 6 years and that of grandfather is 60 years.
(hope this helps can I pls have brainlist (crown)☺️)