Step-by-step explanation:
the most usual firm of line equation is
y = ax + b
a is the slope of the line and is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-interception (the bake of y when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
the slope a :
x changes by +3 (from 3 to 6)
y changes by +8 (from -1 to 7)
so, the slope is +8/+3 = 8/3
our line equation now looks like
y = (8/3)x + b
let's simply use the first point
-1 = (8/3)×3 + b
-1 = 24/3 + b = 8 + b
-9 = b
and the full line equation is
y = (8/3)x - 9
6 1/2 divided by 3/4 in simplest form
Answer:
26/3
Step-by-step explanation:
6 1/2 divided by 3/4 = 13/2 divided by 3/4
[tex]\frac{13}{2} / \frac{3}{4}\\[/tex]
[tex]=\frac{13}{2} * \frac{4}{3}[/tex]
=[tex]\frac{26}{3}[/tex]
Solve the equation x=√(2x-4)+2. Show, explain, and check your work.
Answer:
x = 2, 4
Step-by-step explanation:
Hi there!
x=√(2x-4)+2
Move 2 to the left:
x-2 = √(2x-4)
Square both sides:
x²-4x+4 = 2x-4
Combine like terms:
x²-6x+8 = 0
Factor:
(x-2)(x-4) = 0
Therefore, x = 2, 4.
I hope this helps!
1. Which is the counterexample to the following conjecture?
If a number is divisible by 3, it must also be divisile by 9.
18
21
27
O
54
The hypotenuse of a right triangle measures 19 cm and one of its legs measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
18.9
Step-by-step explanation:
in which group males or females did a greater percentage use other modes of transport and by how much?
I think the answers here:-
dp201111.pdf
What is the amount of discount?
(100 pts)
[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]
[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]
[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]
[tex]\\ \sf\longmapsto Discount=375/100[/tex]
[tex]\\ \sf\longmapsto Discount=3.75[/tex]
Answer:
discount = $3.75
Step-by-step explanation:
Given:
[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]
Multiply both sides by 100 to eliminate the denominators:
[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]
Divide both sides by 10:
[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]
Carry out the multiplication on the right side:
[tex]\implies \sf discount \times 10=\$37.50[/tex]
Divide both sides by 10:
[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]
[tex]\implies \sf discount=\$3.75[/tex]
Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed
Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?
find the slope and y intercept.
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
2 points are marked already :
(-3, 4) (3, -4)
x changes by +6 (from -3 to 3)
y changes by -8 (from 4 to -4)
the slope is -8/+6 = -8/6 = -4/3
the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).
so, the y-intercept is 0.
7: A flight lasting 3 hours and 45 minutes lands at 7:50
pm. What time did the flight take off?
4:05 pm
Step-by-step explanation:
take off time 7:50 - 3:45
= 4:05
Find the area of the figure below.
Please help me with this I don’t understand it!
Answer:
ans :240 cm²
Step-by-step explanation:
see the pic
....ik its messy but hope u understand
and I hope the ans is correct
The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.
Answer:
3 and - 3Step-by-step explanation:
Let the numbers are x and y.
Their difference is:
x - y = 6Sum of their squares:
S = x² + y²Substitute y = x - 6 into sum equation:
S = x² + (x - 6)² = x² + x² - 12x + 36 = 2x² - 12x + 36We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:
x = - (-12/2*2) = 3Then the value of y is:
y = x - 6 = 3 - 6 = - 3what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
9514 1404 393
Answer:
discriminant: -64two complex rootsStep-by-step explanation:
The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...
a=2, b=8, c=16
so, the discriminant is 8² -4(2)(16) = 64 -128 = -64
A negative discriminant indicates there are two conjugate complex roots.
Choose Yes or No to tell whether each expression is equivalent to this expression.
–3(0.15 – 0.2 + 0.25p)
0.15 – 0.75p
Choose...
–0.45 – 0.6 + 0.75p
Choose...
–3(–0.05 + 0.25p)
Choose...
–3(0.15) + (–3)(0.2) + (–3)(0.25p)
Choose...
Answer:
top to bottom,
Yes
No
Yes
Yes
Gabi owns one parcel measuring one square mile and another parcel measuring one mile x half a mile. She combined the parcels and sold them for $2.5 million. What price per acre did she receive for the land
We want to get the price per acre that she receives for the land, we will get that the price per acre is $2,777.8
First, we need to find the total area of the land.
There are two parcels, one with an area of 1 mi^2, and the other with dimensions of one-mile x half a mile, then the area of the other parcel is:
A' = (1 mi)*(0.5 mi) = 0.5 mi^2
The total area is the sum of these two, we get:
1 mi^2 + 0.5 mi^2 = 1.5 mi^2
And notice that we want to get the price per acre, knowing that:
1 mi^2 = 640 acres, then:
1.5 mi^2 = 1.5*(640 acres) = 900 acres.
The price per acre is equal to the quotient between the total price for the area and the number of acres, this gives:
P = ($2,500,000)/(900 acres) = $2,777.8
So each acre costs $2,777.8
If you want to learn more, you can read:
https://brainly.com/question/13738061
How much profit will a store make on the sale of a flat screen TV that is marked up by 30% and then sold at a 20% discount if the original price of the TV is $1500?
The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.
The mark up percentage is given by:
Mark up percentage = (selling price - cost price)/cost price
Since the original price is $1500, hence:
30% = (selling price - 1500)/1500
0.3 = (selling price - 1500)/1500
(selling price - 1500) = 450
Selling price = $1950
It was again sold at a discount of 20%:
Final selling price= 1950 - 20% of 1950 = 1560
Profit = 1560 - 1500 = $60
Hence $60 profit was made by the store for the sale of a flat screen TV.
Find out more at: https://brainly.com/question/15699405
which temperature is lower -6 or 3
Answer:
-6
Step-by-step explanation:
this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.
What is the value of f(x), if x is -8?
Answer:
-8f
Step-by-step explanation:
you will substitute in the numbers and multiply
Because f is a variable you write the -8 and attach the f to it
The value of function for given x value is -1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=-(x+8)²-1.
Substitute x=-8 in the given function, we get
f(-8)=-(-8+8)²-1
= -0-1
= -1
Therefore, the value of function for given x value is -1.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
What is the value of f(x)=-(x+8)²-1, if x is -8?
Which expression uses the associative property to make it easier to evaluate 143 - Ž)? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT
Answer:
the answer would be c brainlest if right :0
Step-by-step explanation:
Hello!
-----------------------------------------------------------------------------------------------------------------
I presume the answer is Option C.
It's much easier to evaluate this expression than the other ones.
Hope it helps!
~SparklingFlower
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Find the quotient 40,936 4 34.
[tex]40936434. \times 10 {}^{7} [/tex]
The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax
Answer:
38.192
Step-by-step explanation:
34.72x(1+0.1)=38.192
Describe the transformation from the parent function: y = x.
y = 1/2x
Divide using the division algorithm 392,196 divided by 87
(No long division)
Identify the slope!!
Answer:
Step-by-step explanation:-0y+2-4x
-3=2/3(2) what is the answer
When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator
2/3 + 2/3 = 4/3
Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.
4/3 = 3/3 + 1/3
Divide: 3/3 = 1
1 + 1/3 = 1 1/3
1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)
Christopher's construction company bought 5 bags of gravel they used 3 2/5 bags on m r.pain's driveway how many bags do they have left?
The kids sell all the bags pf brownies for $2 each. How much money could they make from the Brownie sale?
Answer:
212
Step-by-step explanation:
106 x 2= 212
Answer:
ok so when there is 106 bags of brownies there is two ways that u can do this that i can think of so u can do 106 + 106 which= 212 or 106 x 2 = 212 this one was pretty easy u got this feel free to ask more questions!
Step-by-step explanation:
When multiplying exponents do you add them.
using the number 2, 4, 6 and 8 write an expression that equals 60
Answer:
(8-2)(4+6)
Step-by-step explanation:
1. (8-2)(4+6)
6x(4+6)
2. 6x10
3. =60
4. If the slope of one side of a triangle is , what is the slope of the
ALTITUDE that intersects this side?
a.3/2
b. -2/3
C.-3/2
d. None of the above