Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=1,\:y=-3[/tex]
As the system of equations has only one solution, thus the solution consistent.
Step-by-step explanation:
Given the system of equations
4x - 5y = 19
y = x - 4
Solving the system of equations by using the substitution method.
[tex]\begin{bmatrix}4x-5y=19\\ y=x-4\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=x-4[/tex]
[tex]\begin{bmatrix}4x-5\left(x-4\right)=19\end{bmatrix}[/tex]
[tex]4x-5\left(x-4\right)=19[/tex]
[tex]-x+20=19[/tex]
isolate x for [tex]-x+20=19[/tex]
[tex]-x+20=19[/tex]
[tex]-x=-1[/tex]
Divide both sides by -1
[tex]\frac{-x}{-1}=\frac{-1}{-1}[/tex]
[tex]x=1[/tex]
[tex]\mathrm{For\:}y=x-4[/tex]
[tex]\mathrm{Subsititute\:}x=1[/tex]
[tex]y=1-4[/tex]
[tex]y=-3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=1,\:y=-3[/tex]
As the system of equations has only one solution, thus the solution consistent.
Please remember that if the system of equations has only one solution, then it is an independent system of equations.
solve for x. y = 2x^2 + 7x + 3. please show work!!
Let y = 0
0 = 2x^2 + 7x + 3
Using the quadratic formula, we get x = -3 and x = -1/2.
Answer:
Answer and Work is in photo
Step-by-step explanation:
11.3 × 20.5
help asapppppp i gota lotta math work to do :((((((((((((((((((((((((((((
Answer:
231.65
Step-by-step explanation:
☺️☺️☺️☺️☺️☺️☺️☺️
Answer:
231. 65 is the answer
hope this answer will help you
have a great time
System of equations
2x+4y=8
X=3y-6
Plz answer this question thanks :)
Answer:
£1.44
Step-by-step explanation:
We need to find the number of days it was due first.
26 Nov to 12 Dec: 16 days
1 day --- 9p
16 days --- 16 × 9p = 144p
= £1.44
For problems 12 - 14, Determine whether each sequence appears to be an
arithmetic sequence. If so, find the common difference and the next three terms.
12. 1, 2, 3, 4, 5, ...
13. 3, 0, -3, -6, ...
14.2, 4, 6, 9, 11, ...
15. Find the 50th term if d = 5 and a = 10
Step-by-step explanation:
⇒12)It is an arithmetic sequence.
d=2-1=3-2=4-3=1
a(n) = a +(n-1)d
a(n) = 1+(n-1)1
The next three terms:
a(6) = 1+(6-1)1=6
a(7) = 1+(7-1)1=7
a(8) = 1+(8-1)1=8
⇒13)It is an arithmetic sequence.
d=0-3=-3-0=-6+3=-3
a(n) = a +(n-1)d
a(n) = 3+(n-1)-3
The next three terms:
a(5) = 3+(5-1)-3=-9
a(6) = 3+(6-1)-3=-12
a(7) = 3+(7-1)-3=-15
⇒14)It is not an arithmetic sequence.
⇒15) a(50) = 10 +(50-1)5
=255
I hope this helps
slope of (4,-1) (3,-2)
Answer:
-1/2
Step-by-step explanation:
-1/2
lolollolololololololololololo
help anyone?????????????????????:))))))))))))))))
Answer:
Step-by-step explanation:
1 cupcake=1.5 dollars
5 cupcakes=5×1.5
=7.5
1.5 dollars=1 cupcake
15 dollars=15/1.5
=10 cupcakes
DUEEE at 10:300 HELPPP ??
Answer:
They are similar by SSS similarity. TUV ~ QRS
Step-by-step explanation:
yes
Answer:
ΔTUV ~ ΔQRS
Step-by-step explanation:
The sides on the smaller triangle are 15, 25, and 30.
The sides of the larger triangle are 42, 70, and 84.
15*X = 42
X = 2.8
25 * 2.8 = 70
30 * 2.8 = 84
Since all sides of the larger triangle are 2.8 times the sides of the smaller triangle, the two triangles are similar.
THE PHOTO FOR THE QUESTION IS BELOW PLEASE HELP ME ASAP
Answer:
it is +.025
Step-by-step explanation:
Write as a decimal. Use bar notation if necessary.
7th grade math help me please :))
What is the remainder when (4x3+2x2-18x+38)/(x-3)?
a.2
b.12
c.96
d.110
Answer:
choice A 2
Step-by-step explanation:
4(23)+2(22)−(18)(2)+38
2−3
=−42
good luck!
Please help ASAP.
A ferris wheel has a diameter of 42 feet. About how far does it travel if it makes 10 revolutions?
Answer:
the freak
Step-by-step explanation:
Please help i need to get this done asap !
Answer:
Step-by-step explanation:
Equation of line k is y = (-4/7)x + 1
point (-5,-10); m = -4/7
Line L is perpendicular to k so the perpendicular slope will be 7/4
Equation of line L is (y - y1) = m(x-x1)
y+10 = (7/4) (x +5)
4y + 40 = 7x + 35
4y = 7x - 5
y = (7/4)x - (5/4)
-
14. The dimensions of a box are (x + 1), (4x − 2), and (3x + 4). What is the volume of the box?
O 12x³ +22x² - 2x -8
O 8x +3
O8x³+3
O 12x³ +22x²+2x-8
Answer:
12x³ +22x²+2x-8
Step-by-step explanation:
12x³ +22x²+2x-8
this is a geometry question I know the answers are 81 and 9 because of the back of the book but I don't understand how it got to that point
Answer:
18°
Step-by-step explanation:
let the angle be x , then its complement is 90 - x
we are told the angle is [tex]\frac{1}{4}[/tex] of its complement , then
x = [tex]\frac{1}{4}[/tex] (90 - x) ← multiply both sides by 4 to clear the fraction
4x = 90 - x ( add x to both sides )
5x = 90 ( divide both sides by 5 )
x = 18
then the angle is 18° and its complement is 90° - 18° = 72°
Answer:
The angles measure 18° and 72°.
Step-by-step explanation:
81 and 9 is not correct for this problem.
9 is not 1/4 of 81, so 9 and 81 cannot be the answer, although it is true that angles measuring 9° and 81° are complementary since 9 + 81 = 90.
You need to know what complementary angles are.
Definition:
Two angles are complementary if the sum of their measures is 90°.
Each angle is said to be the complement of the other angle.
You have two complementary angles, both of whose measures are unknown.
Call the smaller measure x and the larger measure y.
Since the angles are complementary, the sum of their measures is 90°.
x + y = 90
The measure of one angle is 1/4 the measure of the other angle.
If the smaller angle's measure is 1/4 of the larger angle's measure, then the larger angle's measure is 4 times the smaller angle's measure.
That means that y = 4x.
You have two equations and two unknowns:
x + y = 90
y = 4x
This is a system of equations. We will solve it using the substitution method.
Since y = 4x, where you see y in the first equation, substitute it with 4x
x + y = 90
x + 4x = 90
5x = 90
Divide both sides by 5.
x = 18 <---- smaller angle
y = 4x = 4(18) = 72 <----- larger angle
Answer: The angles measure 18° and 72°.
Check: Do the measures 18 and 72 add to 90?
18 + 72 = 90 Yes.
Is the measure of the smaller angle 1/4 the measure of the larger angle?
18/72 = 9/36 = 1/4 Yes.
18 and 72 is the correct answer.
HURRRY TIME LIMIT!!!!!!!!!
A hotel rewards club wants to randomly select 100 of its 5,000 members to participate in a survey. The club wants to determine if people’s opinions differ based on age. There are 2,200 members between the ages of 25 and 50, and there are 2,800 who are age 51 or older. The club decides to randomly select 44 members between the ages of 25 and 50, and 56 members ages 51 and older. Is the sample of 100 members a simple random sample? Yes, because the hotel rewards members were randomly selected for the sample. Yes, because each hotel rewards member has the same chance of being selected. No, because the sample of 100 is too small a sample to represent the population. No, because each sample of 100 does not have the same chance of being selected.
Answer:
No, because each sample of 100 does not have the same chance of being selected.
Step-by-step explanation:
Simple random samples require that every possible sample of the population has an equal chance of being selected. Because of the fact that certain ages are being picked at certain amounts, not every possible sample has the same chance of being selected, so this is not an SRS.
Answer:
D.
Step-by-step explanation:
No, because each sample of 100 does not have the same chance of being selected.
15. What does the y-intercept represent in a
real-world function?
a. initial value
b. final value
c. rate of change
I’m like super confused can somebody help me please?
Equations are steeper when their slope's positive value is higher (ignore negatives when determining how steep a slope is). The slope is the value in front of x. If there isn't a value in front of x, then it is assumed to be 1.
PLEASE HURRY!! HELP NEED!!
Answer:10
Step-by-step explanation:
Based on the given information, what will be the retained earnings for a given accounting period?
Items Amount ($)
total expenses 50,000
total income 75,000
dividend paid 5,000
A.
30,000
B.
15,000
C.
25,000
D.
20,000
Answer:
20,000
Step-by-step explanation:
It is right on plato/edmentum
You just take 75,000-50,000=25,000 and then since it is dividend paid you will subtract the 5,000 from 25,000 and then you will get 20,000.
So 20,000 is your answer. :)
heLP mE PLLLLLLssssssssssssssssssss
Answer:
y=65x+250
Step-by-step explanation:
x^2-5x=14
I am supposed to get 14, but I don’t know how to get there. Also, how would check it on a calculator?
Answer:
x=-2
Step-by-step explanation:
just plug in random numbers until you get your answer, it works for me
What is the slope of the line in the graph shown below?
If 7 apples cost 28 dollars how much does 1 apple cost
Answer:
$4 per apple.
Step-by-step explanation:
This is pretty simple, you can divide 28 divided by 7 or you can go through your 4 times table and figure out that 4 times 7 equals 28.
Find the mean, median and mode of the following
data: 75,62,88, 55, 90, 95, 85, 69, 62, 78, 90,95,90,95,80, 71, 44,44. 57, 68,90
Answer:
mean-76.3285
median-79
mode-95
Step-by-step explanation:
mean-
A figure is dilated by a factor of 6 the area will change by a factor of what
Answer:
i think it is 69 thank you
Answer:
factor of 36
Step-by-step explanation:
Given the factor 6, then the area factor is
6² = 36
I LONELY
2x6x0x7-1-5+16x87x9+0-2x67=
Answer:
12388
Step-by-step explanation:
Used calculator
7. What is a fair price to pay for the spinner game shown here?
Land on a and win $1
Land on b and win $2
Land on cand win $5
Answer:
$2.50
Step-by-step explanation:
1+2=3
1+5=6
2+5
There are 72 students for every 6 teachers on the field trip. What is the unit rate, in students per 1 teacher
Answer:
There are 12 students per 1 teacher.
Step-by-step explanation:
To find the unit rate you divide 72/6