Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=-\frac{12}{5},\:x=\frac{1}{5}[/tex]
Step-by-step explanation:
Given the equations
[tex]y=-32x+4;\:y=23x-7[/tex]
solving the system of the equations
[tex]\begin{bmatrix}y=-32x+4\\ y=23x-7\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+32x=4\\ y-23x=-7\end{bmatrix}[/tex]
[tex]y-23x=-7[/tex]
[tex]-[/tex]
[tex]\underline{y+32x=4}[/tex]
[tex]-55x=-11[/tex]
[tex]\begin{bmatrix}y+32x=4\\ -55x=-11\end{bmatrix}[/tex]
[tex]-55x=-11[/tex]
[tex]\frac{-55x}{-55}=\frac{-11}{-55}[/tex]
[tex]x=\frac{1}{5}[/tex]
[tex]\mathrm{For\:}y+32x=4\mathrm{\:plug\:in\:}x=\frac{1}{5}[/tex]
[tex]y+32\cdot \frac{1}{5}=4[/tex]
[tex]\mathrm{Subtract\:}32\frac{1}{5}\mathrm{\:from\:both\:sides}[/tex]
[tex]y+32\cdot \frac{1}{5}-32\cdot \frac{1}{5}=4-32\cdot \frac{1}{5}[/tex]
[tex]y=-\frac{12}{5}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=-\frac{12}{5},\:x=\frac{1}{5}[/tex]
2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:
Answer: 177
Step-by-step explanation:
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
What is the value of the expression 4/7 ÷ 12/21
Answer:
Step-by-step explanation:
[(24÷12)⋅6]+3⋅8÷2
2.Evaluate the expression.
(26÷13)⋅(−7)+14−4
3.Simplify this expression.
9 + 3 × 2
15
21
24
48
4.What is the value of this expression?
6⋅[(32−8)÷4+2]
5.Simplify.
6y+5z+8y−3z
11y + 5z
14y +2z
14y + 8z
16yz
does this help
In the figure below, Angles 1 and 2 are congruent.
If m Z1 = 70°, what is the sum of Angles 3 and 4?
O A. 150°
O B. 140°
O C. 110°
оD 180°
The value of x square +y square when x =-3and y =4 is
Select all that apply.
Which of the following are equivalent ratios?
10/15
12/16
8/12
14/21
Answer:
10/15 8/12 14/21
Step-by-step explanation:
What is the discriminant of the quadratic equation, 4x^2-8x-5=0
Answer:
Step-by-step explanation:
4x^2-8x-5=0
The discriminant is the number under the √. In this case it's 144
Answer:
[tex]\Delta=144[/tex]
Step-by-step explanation:
For a quadratic in standard form, the discriminant is given by:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]4x^2-8x-5=0[/tex]
Hence, our a=4; b=-8; and c=-5.
Substituting into our formula, we acquire:
[tex]\Delta=(-8)^2-4(4)(-5)[/tex]
Evaluate:
[tex]\Delta=64+80[/tex]
Add:
[tex]\Delta=144[/tex]
Therefore, our discriminant is 144.
Notes:
Since our discriminant is a positive value, this tells us that our quadratic has two real roots.
The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 2005. Which linear equation, in slope-intercept form, represents the population, y, at a year since 2005, x, where y is in thousands.
Answer:
The linear equation is;
y = 320x + 7400
Step-by-step explanation:
Here, we want to write a linear equation that represents the population y at a year since 2005
To write this, we need points
Initially, we have (0,7400)
Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)
Mathematically, we can get the slope as follows;
m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320
The equation of the line can be represented using the general form as;
y = mx + b
where m is 320 and b is unknown
So we have the equation as;
y = 320x + b
we need to get b
To get b, we can use any point
let us use the point (0,7400)
substituting this;
7400 = 320(0) + c
c = 7400
so the equation is;
y = 320x + 7400
Is (-2, 1) a solution to the system
x -y = -3
y = -2x + 5
Answer:
No, I believe the solution is (2/3, 11/3)
Step-by-step explanation:
I NEED HELPP
Evalute if x=6, y=8, and z=3
yz - x
Answer:
18 and 10.
Step-by-step explanation:
yz - x
= 8*3 - 6
= 24 - 6
= 18
2(x + z) - y
= 2(6 + 3) - 8
= 2 * 9 - 8
= 18 - 8
= 10
Find the slope of (-1,3) and (2,5)
Answer:
slope should be 3
Step-by-step explanation:
i used my calculator
Select all of the statements that can be determined from the table given
Answer:
B and D since the table tells that the answers B and D are correct
Answer:
B. There is a y-intercept at (0,-2)
Step-by-step explanation:
I did what the other answer said, but apparently the only right answer in your case is B.
item
A sloppy joe restaurant gave 10 napkins for
every 7 items ordered. If someone bought 49
items, how many napkins should they get?
napkins
Answer: 70
Step-by-step explanation: 49 / 7 is 7 so 7 x 10 is 70
ITS MORE THAN ONE QUESTION PLEASE HELP 50 POINTS ITS URGENT
Answer:
what is the question?...
What is the slope of y= -5 + 4x
Answer:
4
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
help please ahahah i hate this sm i really need help
Answer:
-7/6
Step-by-step explanation:
- take two values of x and their corresponding two values of y
- use the slope formula ( y2 - y1 )/( x2 - x1 )
- i used x values 4 and 10 but you can use any
( -6 - (-13) ) / ( 4 - 10 ) = -7/6
can sumone do this plzz
Answer:
1. [tex]\frac{x}{15}[/tex] = 0.85
2. x = 12.75
Step-by-step explanation:
First, we do 12 divided by 15, which is 0.80 (80%). The question is asking how much consecutive free throws is needed to raise it to 85%.
So, and equation we make is:
[tex]\frac{x}{15}[/tex] = 0.85, where x represents the number of free throws.
Now, we solve.
Multiply each side by 15 to solve for x.
x = 12.75
12.75 consecutive free throws is needed to raise the percent to 85%.
3. Jonas is riding his bicycle at 18 kilometers per hour, and he has already ridden for 40 kilometers. (6, 148)
What fraction is 20 min of 3 hours? Answer in simplest form
Answer:
1/9
Step-by-step explanation:
Please Help! need a step by step answer will give brainly
Answer:
If I know I will defiantly answer .but where is the question
fill in the table so it represents a linear function
Uhh, -4 , -6 , -8 im pretty sure.
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
On the scale drawing of Cold Lake Camp, the mess hall is 5 cm from the lodge. The scale for the map is 2 cm = 100 m.
Find the actual distance to the lodge.
Answer:
The answer is 250 meters from the lodge
what is p in this situation? if u answer correct ill mark you brainliest.
A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds
Given:
A rocket is 1.5 miles above the earth in 20 seconds.
It is 8 miles above the earth in 2 minutes.
To find:
The rockets rate of change in miles per seconds.
Solution:
Let y be the height above the earth after x seconds.
A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).
It is 8 miles above the earth in 2 minutes.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the point is (120,8).
The rockets rate of change in miles per seconds is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{8-1.5}{120-20}[/tex]
[tex]m=\dfrac{6.5}{100}[/tex]
[tex]m=0.065[/tex]
Therefore, the rockets rate of change is 0.065 miles per seconds .
Can you give me the answer? Ill give brainliest for the right answer
Answer:
I believe the answer is b
Step-by-step explanation:
I might be wrong
Answer:
A. -1
Step-by-step explanation:
ΔY/ΔX= 1/-1 =-1
Find the slope of the line that passes through (7, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
-3/2
Step-by-step explanation:
Visualize it or write it out.
What is the value of X?
Answer:
I THINK ITS 61
Step-by-step explanation:
Ben drink tea ant an incredible rate
Answer:
??????????????
Step-by-step explanation:
I am not getting the question
What is the value of x in the equation 5 x + 3 = 4 x? –3 Negative one-third One-third 3
Answer:
?
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
5 x + 3 = 4 x
5x+3-3=4x-3
5x=4x-3
subtract four from both sides=x=-3
x=-3 is your final answer!