There are two approaches to this question.
Approach 1:
We can compute the slope of a line by calculating its mean variation, the rise over run. Mathematicaly:
[tex]a=\frac{\Delta y}{\Delta x}[/tex]
The two points we have are [tex]P1 = (1,3)[/tex] and[tex]P2 = (4,3)[/tex]. Plugging the values into the expression we get
[tex]a=\frac{3-3}{4-1} \\a=0[/tex]
Therefore, the slope of the line is zero.
Approach 2:
The slope of the line is given by the angle [tex]\alpha[/tex] it makes with the X axis, in other words,
[tex]a = tan(\alpha)[/tex]
Note that the angle the line makes is exaclty zero. Therefore:
[tex]a= tan(0)\\a=0[/tex]
Again, we get that the slope of the line is zero.
In general, the slope of any horizontal line will always be zero.
Which polynomial represents the product of 2x - 4 and x2 + 6x - 2 ?
ОА
2x3 + 8
thing
B
2x3 + 8x2 - 4x + 8
с
2x3 + 8x2 - 28x + 8
D
2x3 - 24x - 2
Answer:
C. [tex] 2x^3 + 8x^2 - 28x + 8 [/tex]
Step-by-step explanation:
Product of [tex] 2x - 4 [/tex] and [tex] x^2 + 6x - 2 [/tex]
[tex] (2x - 4)(x^2 + 6x - 2) [/tex]
[tex] 2x(x^2 + 6x - 2) -4(x^2 + 6x - 2) [/tex] (distributive property)
[tex] 2x^3 + 12x^2 - 4x -4x^2 - 24x + 8 [/tex]
Collect like terms
[tex] 2x^3 + 12x^2 - 4x^2 - 4x - 24x + 8 [/tex]
[tex] 2x^3 + 8x^2 - 28x + 8 [/tex]
HELPPP
Six ice cream bars and four bags of chips cost $13.50. Ten ice cream bars and five bags of chips cost
$20.00. What is the cost for each item sold separately?
Answer:
The candy bar would cost 1.50 cents and the bag of chips would be a 1.00
Step-by-step explanation:
Answer:
1.50 times 10=15 for cream bars, and 5 packs of chips each will be $1 which is 5 packs of chips so it it will be 15 cream bars+5 packs of chips =$20
Step-by-step explanation:
Find the measure of the missing angle.
98°
a
Answer:
a = 82
Step-by-step explanation:
Both angles form to create a supplementary angle. A supplementary angle is when two angles add up to be 180 degrees. We can write an equation and solve.
98 + a = 180
a = 82
Best of Luck!
Which is smaller, one-ninth of 54 or one-fourth of 36?
Answer:
one-ninth of 54
Step-by-step explanation
54*1/9=6
36*1/4=9
Answer:
1/9 of 54 is smaller than 1/4 of 36
Step-by-step explanation:
1/9 of 54 is 54/9 and that is 6
1/4 of 36 is 36/4 and that is 9.
Please mark brainliest
NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
nearest tenth. (Hint: Always make sure to label your triangle first with your
reference angle)
Answer:
[tex]x = 9.4[/tex]
[tex]y = 17.7[/tex]
Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:
[tex]tan \theta = \frac{opp}{adj}[/tex]
So, we have:
[tex]tan\ 32= \frac{x}{15}[/tex]
Cross multiply:
[tex]x =15*tan\ 32[/tex]
[tex]x = 15 * 0.6248693519[/tex]
[tex]x = 9.3730402785[/tex]
[tex]x = 9.4[/tex] --- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:
[tex]cos \theta = \frac{adj}{hyp}[/tex]
So, we have:
[tex]cos\ 32= \frac{15}{y}[/tex]
Cross Multiply:
[tex]y * cos\ 32= 15[/tex]
Solve for y
[tex]y = \frac{15}{cos\ 32}[/tex]
[tex]y = \frac{15}{0.84804809615}[/tex]
[tex]y = 17.6876760506[/tex]
[tex]y = 17.7[/tex] --- approximated
The answer help pls fast
Answer:
x = 26
2x = 52
(5x - 2) = 128°
Step-by-step explanation:
✔️According to the exterior angle theorem of a ∆, thus:
(5x - 2)° = 2x° + 76°
Solve for x
5x - 2 = 2x + 76
Collect like terms
5x - 2x = 2 + 76
3x = 78
Divide both sides by 3
x = 26
✔️2x
Plug in the value of x
2(26) = 52°
✔️5x - 2
Plug in the value of x
5x - 2 = 5(26) - 2
= 128°
Simplify 5 (3 1/5 +2 4/5−0.6)
Step-by-step explanation:
l dont understand your question
is it 3 and a fifth or 31/5
This graph shows the distance that a robot walks. What is the robot's speed?
Waliking Time and Distance
2 3 4 5
Time (minutes)
OA 10 feet per minute
OB. 5feet per minute
Oc. 30 feet per minute
OD. 20 feet per minute
The speed of the robot from the graph is m = 10 feet per minute
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let y represent the distance of the robot
Let x represent the time taken
Let the first point be P ( 1 , 10 )
Let the second point be Q ( 2 , 20 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
The slope of the line will give the speed of the robot
Substituting the values in the equation , we get
Slope m = ( 20 - 10 ) / ( 2 - 1 )
m = 10 feet per minute
Hence , the speed is 10 feet/min
To learn more about equation of line click :
https://brainly.com/question/14200719
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The complete question is attached below :
This graph shows the distance that a robot walks. What is the robot's speed?
Walking Time and Distance
2 3 4 5
Time (minutes)
A) 10 feet per minute
B) 5feet per minute
C) 30 feet per minute
D) 20 feet per minute
100,000,000 sheep are in a field the farmer says there are 36 acres for each sheep how many acres are there in the field
Answer:
3,600,000,000
Step-by-step explanation:
if i understood this correctly, you just multiply 100,000,000 by 36 and you're done
What are the possible numbers of positive, negative, and complex zeros of f(x) = −x6 − x5 − x4 − 4x3 − 12x2 + 12
Answer:
Positive roots = 1 or 0
Negative roots = 0, 2, or 4
Complex roots = 0, 2, 4, or 6
Step-by-step explanation:
We are given the polynomial:
f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12
Now, by inspection, the highest degree is 6 and as such the polynomial is therefore a polynomial with more than 2 as a degree.
Applying Descartes Rule of Signs to the polynomial :
f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12
Signs are: - - - - - +
There is only 1 sign change and thus, it means there is 1 or 0 positive roots
To find number of negative roots, we will use f(-x);
f(−x) = -(−x)⁶ - (−x)⁵ - (−x)⁴ - 4(−x)³ − 12(−x)² + 12(−x)
f(-x) = -x⁶ + x⁵ - x⁴ + 4x³ − 12x² - 12
Signs are: - + - + - -
There are 4 sign changes and thus, it means there are 4, 2 or 0 negative roots
Thus; Complex roots = 0, 2, 4, or 6
If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4
what is a domain and range
and how do I find it
Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
What is an equation of the line that passes through the point (6,3) and is parallel to
the line x + 3y = 24?
Answer:
x + 3 y = 15
Step-by-step explanation:
line is paralle that means that coefficient next to x mand y must be the same
so the equation of the line will be
x + 3y = a
we have to find a, we know that line passes throgh (6,3) so
6 + 3 * 3 = a
a = 15
the line has an equation
x + 3 y = 15
There are 60 dogs at a doggie daycare one Friday. If 13 of the dogs are large dogs, 16 of the dogs are medium-sized dogs, and the remaining dogs are small dogs, which statement is true?
A. There are 10 less large dogs than small dogs at the daycare.
B. There are 10 more large dogs than small dogs at the daycare.
C. There are 20 less large dogs than small dogs at the daycare
D. There are 20 more large dogs than small dogs at the daycare.
Answer:
D there are 20 more large dogs than small dog at the daycare
Answer: The answer is that the small dog amount is 73 so
60 medium sized dogs and 13 big dogs and 73 small dog
in total they are 146.
help with this homework question pleaseeee
Answer:
b
Step-by-step explanation:
then it would be sss
(x+5)²=81
need help quick
Simplify by using the o
3–8(4-9)=
Answer:
-51
Step-by-step explanation:
3-24+72=0
75-24=0
51=0
Evelyn earns $8.00 per hour. How much does she earn in 4 hours?
Answer:
32 dollars
Step-by-step explanation:
Answer:
Evelyn earned $32.00 in 4 hours.
Step-by-step explanation:
To solve this question, just multiply 8 by 4.
8 x 4 =$32
Therefore, Evelyn earned $32.00 in 4 hours.
Hope this helps! :D
A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is _____.
Answer:
[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]
Step-by-step explanation:
Given that:
The population mean μ = 12
By computing the null and alternative hypotheses, the correct set of hypotheses for this test is:
[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]
This is a two-tailed test.
SOMEONE PLEASE HELP ME ON THIS. THANKS! :
Mr. Romero wants to purchase a gym membership from 24 hour fitness. A gym membership at 24 hour fitness costs $34.99 per month with a one-time initiation fee of $99. Create an
equation to represent the amount of money, y, he will spend on the gym membership for x
amount of months
Answer:
99 + 34.99x = y
Step-by-step explanation:
initial fee of $99
multiply the monthly fee (34.99) and how many months he's a member (x)
add the initial fee and total of monthly payments to get total he will spend (y)
Round 8.042 to the nearest hundredth.
Answer: 8.04
It’s rounded to the nearest hundredth
I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet
Answer:
2.5 feet
Step-by-step explanation:
20/8=2.5
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
Margaret’s recipe for her famous strawberry jam makes 2 quarts of jam and calls for storing the jam in pint jars. The only jars Margaret could find at the store hold 500 milliliters. If about 950 milliliters are in 1 quart, how many jars should Margaret purchase to contain the 2 quarts of jam? (also plz show your work)
Answer:
4 jars
Step-by-step explanation:
950 x 2= 1,900
500 x 4= 2,000
4 jars
because I said so I'm smart
please help i dont understand!!
Answer:
No the dog ate less on sat
Step-by-step explanation:
simplify 60/100 and 40/100 to 6/10 and 4/10
then add the 6 and 7 to get 13/10 or 1 & 3/10
then add 4 and 8 to get 12/10 or 1 & 2/10
then we see that they are not equal so the answer in No
What is the original price of the box of cereal?
Answer:
$3.20
Step-by-step explanation:
Jada raised 60% of $20 goal. How much did she raise?
Answer:
$12
Step-by-step explanation:
setting up a proportion and putting 20 of 100 and 60 over x, we multiply 60 and 20 then divide one hundred from both sides leabing. We should have 100/x = 1200/100. Doing this gives us x = 12.
Answer:
Jada raised $8
Step-by-step explanation:
$20 with 60% discount, you will pay 20 - 12 = 8 dollars.
if you flip a coin 10 times ,you would expect to get
What is the perimeter of the triangle?
unit
Answer:
36 unitsStep-by-step explanation:
perimeter of the given triangle = 16 + slant (10) + slant (10)
= 36 units
(see image below)
Hi if i have 8,000 saving for 12,000 how much more do i need?
Answer: 4,000
Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)