Part I: Writing Linear Equations
1.
Write the equation of the line that has a slope of -1/4 and contains the point
(72, -30) in Point-Slope Form. (2 pts)
2.
A). Write the equation of the line that contains the points (3, 15) and (28, -35) in
Point-Slope Form. (2 pts)
B). Convert the Point-Slope equation from part A to Slope-Intercept Form. (2 pts)
Answer:
1. y= 2/5x+11
2. y=3x-15
2y-5x=9
Step-by-step explanation:
I did this already
Evaluate the following expressions if x=3.
Please help me with this brainly
Answer:
A. 2^x = 2^3 = 2*2*2 = 8
B. x^2 = 3^2 = 3*3 = 9
C. 1^x = 1^3 = 1*1*1 = 1
D. x^1 = 3^1 = 3
E. [tex](\frac{1}{2})^x = (\frac{1}{2})^3 = (\frac{1}{2})(\frac{1}{2})(\frac{1}{2})=\frac{1}{8}[/tex]
plz help me........................................................
Answer:
Please check the explanation.
Step-by-step explanation:
Question 1)
Input, x Output, y
0 0
1 4
2 8
3 12
It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.
Finding the slope between (0, 0) and (1, 2)
slope = m = y₂-y₁ / x₂-x₁
= (2-0) / (1-0)
= 2 / 1
= 2
Thus, the slope = m = 2
We know that the y-intercept can be obtained by setting x = 0 and solving for y.
It is clear at x = 0, y = 0
Thus, the y-intercept b = 0
We know that the slope-intercept form of linear equation
y = mx+b
substitute m = 2 and b = 0
y = 2x + 0
y = 2x
Thus, the equation that describes the equation is:
y = 2x
Question 2)
The output is eleven more than the input.
As 'y' represents the output.
'x' represents the input.
so
y = x+11
Question 3)
The output is the cube of the input.
As 'y' represents the output.
'x' represents the input.
so
y = x³
Question 4)
The output is one more than twice the input.
As 'y' represents the output.
'x' represents the input.
so
y = 2x+1
Question 5)
y = 7x
substitute x = -5
y = 7(-5)
y = -35
*
Select the expression that is equivalent to 5/8.
O
5=8
O 8-5
O 8-5
0 5-8
Answer:
The right answer isnt there
Step-by-step explanation:
What is the solution for −40 = 10c?
A. c = 1
B. C = -1
C. c = -4
D. c = 4
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
Can someone please help me with this
Answer:
90
Step-by-step explanation:
times 15 and 6 maybe
4e^2x=5
X approximately = ?
Answer:
5 = 5
Explanation:
Students in a poetry class are writing poems for their portfolios. The teacher wants them to write stanzas with certain numbers of lines each. Lucy wrote 9 short stanzas and 9 long stanzas, for a total of 198 lines. Quincy wrote 9 short stanzas and 6 long stanzas, for a total of 156 lines. How many lines do the two sizes of stanzas contain?
Answer:
x = 8
y = 14
the short stanzas contain 8 lines
the long stanzas contain 14 lines
Step-by-step explanation:
lets call the short stanzas x
and the long stanzas y
using given information, you can make this equation
9x + 9y = 198
you can also make this equation
9x + 6y = 156
simplify the first equation
9x + 9y = 198
9x = 198 - 9y
x = 198/9 - y
x = 22 - y
substitute x for 22 - y in the second equation to find y
9(22 - y) + 6y = 156
198 - 9y + 6y = 156
-9y + 6y = -42
-3y = -42
y = 14
substitute y for 14 in the first equation to find x
9x + 9y = 198
9x + 9*14 = 198
9x + 126 = 198
9x = 198-126
9x = 72
x = 72/9
x = 8
what is the geometric mean of 4 and 49
14
Step-by-step explanation:
4 × 49 =196
The square root of 196 is 14
hope it helps!
Write and solve an equation to find the missing value
what is the answer to this?
Answer:
Well in a standard equation you have y=mx + b Mx is the slope and b is the y-intercept So take a shot and solve it now!Plz help me on this :))
y=4x + 1 what is the value of x=5 ?
Answer:
21
Step-by-step explanation:
Y=4x+1
y=4(5)+1
substitute and solve
Answer
21
Step-by-step explanation:
What statement is true about a function
Answer:
d is the answer ok :)
Step-by-step explanation:
SOMEONE DO NUMBER 1 FOR ME IM RUSHING. GIVING BRAINLIEST!!
Answer:
Step-by-step explanation:
Mixed number Improper fraction
a) 1 + 1 + 1/3 = [tex]2\frac{1}{3}[/tex] 7/3
b) 1 + 1 + 1 + 5/8 = [tex]3\frac{5}{8}[/tex] 29/8
c) 1 + 1 + 1 +2/4 = [tex]3\frac{2}{4}[/tex] 14/4
help pleaseee I really need this done
state the slope and y-intercept for the graph of the equation y=-3x+5state the slope and y-intercept for the graph of the equation y=-3x+5
A woman weighed 100 pounds 5 years ago. This year, the woman weighs 115 pounds. What percent increase is this?
Answer:
15 Percent
Step-by-step explanation:
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
i need help please... 30 points + brainliest if u answer all 5
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
whats the area of 1.6m, 1.2m and 1.4m?
Answer:
= 2.1 meters
Step-by-step explanation:
Find the volume of the figure in cubic centimeters.
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA
Pls answer this question with explanation
Answer:
345°
Step-by-step explanation:
If a circle is 360° you would then have to take 15° away from 360° and get the answer of 345°
help hell help help gelp help
Can someone help me?
Answer:
y =4(x-3)^2+2 => y=4x^2-24x+38
y=2(x-3)^2+4 => y=2x^2-12x+22
y=2(x+3)^2+4 => y= 2x^2+12x+22
Y= 4(x+3)^2+2 => y= 4x^2+24x+38
Step-by-step explanation:
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
The equation 4(-2u+7) is solved in several steps below. For each step, choose the reason that best justifies it. Answer choices are: addition property of equality, subtraction property of equality, multiplication prop., division prop., simplifying, and distributive property
Answer:
Find the solution belowStep-by-step explanation:
The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44
Given the expression
4 (-2u + 7) = 44
Step 1: Open the bracket by distributing 4 over -2u and 7
4 (-2u + 7)= 44
4(-2u) + 4(7) = 44 (distributive property)
-8u + 28 = 44
Step 2: Subtract 28 from both sides
-8u + 28 - 28 = 44 - 28 (subtraction property of equality)
-8u = 16
Step 3: Divide both sides by -8
-8u/-8 = 16/-8 (division property)
u = -2
Answer: A
The addition property of equality and then the division property of equality
Step-by-step explanation:
just did the quiz
25 POINTS FOR ANYONE THAT CAN HELP ME!! Rewrite 16r^2s^2 as a power of a product.
Answer:
(4rs)^2 = 16r^2s^2
This is how I would rewrite it as a power of a product.
As a power of a product, we can write the expression as -
(4rs)².
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
16r²s²
We can write the expression given -
16r²s²
As a power of a product, we can write -
(4 x 4 x r x r x s x s)
(4² x r² x s²)
(4rs)²
Therefore, as a power of a product, we can write the expression as -
(4rs)².
To solve more questions on exponents, visit the link below -
brainly.com/question/30066987
#SPJ2
Problem Solving
14. Eight friends divide 3 pizzas
equally. How much pizza does
each friend get?
Answer:
3/8 of a pizza