Answer:
Slope: ¼, y-intercept: -⅓
Step-by-step explanation:
We know that slope-intercept is y=mx+b. We also know that m is the slope, b is the y intercept, y is y, and x is x. As we can see, the equation is y = ¼x - ⅓. Since it is minus ⅓, not plus ⅓, that means the y-intercept is negative. Now we know that the y-intercept is -⅓. Now, let's identify the slope. The slope is ¼, because it is the number next to x (y=mx+b). Now that we know this, we have our answer! The slope is ¼, and the y-intercept is -⅓! I hope this helps!
The graph shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix A.1/2 ounce B.2/3 ounce C.3/4 ounce D.3/2 ounce
Answer:
ever get answer et
Step-by-step explanation:
Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?
Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
For the given trinomial that has the factor (x -1), k = 1,
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given a trinomial equation:
f(x)=x^3+kx-4
And also given it has a factor (x - 1)
Thus, at x = 1 the value of the f(x) will be 0
So,
f(x) = x^3 + kx - 4
f(1) = 1^3 + k*1 - 4
0 = 1 + k -4
k = 3
therefore, The value of k = 1 for the given Trinomial that has the factor (x -1)
Learn more about Polynomials here:
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Help me pls ASAP thank you
-3(10+4v)=-6(5-9v)
step-by-step pls
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(10+4v)=−6(5−9v)
Step 1: Simplify both sides of the equation.
−3(10+4v)=−6(5−9v)
(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)
−30+−12v=−30+54v
−12v−30=54v−30
Step 2: Subtract 54v from both sides.
−12v−30−54v=54v−30−54v
−66v−30=−30
Step 3: Add 30 to both sides.
−66v−30+30=−30+30
−66v=0
Step 4: Divide both sides by -66.
−66v
−66
=
0
−66
v=0
Answer:
omg im so sorry
Step-by-step explanation:
Type the correct answer in the box.
A car accelerates from 4 meters/second to 16 meters/second in 4 seconds. The car's acceleration is
meters/second
Reset
Next
Answer:
3 meters/second
Step-by-step explanation:
acceleration = rate of change of speed (velocity)/change in time
= 16 - 4/4
= 12/4 = 3 m/s
2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
please hurry
Answer:
Correct answer:
3
Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:
f(a) = a2 – 5
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
Find the largest degree of x that can be factored out of all terms
9x and 45
Step-by-step explanation:
x cannot be factored out of these two monomials because x is not present in both of them.
The largest degree of x that can be factored out of all terms 9x and 45 is 0
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
How can we rewrite a constant as a coefficient?Suppose there is a constant 'c'.
We can write it as:
[tex]c = c \times 1 = c \times x^0[/tex]
where 'x' is the variable in consideration. Here even when x = 0, we would assume that for all real numbers 'x', its power raised to 0 makes it evaluate to 1.
For this case, we can rewrite both the terms as:
[tex]9x = 9x\times 1 = 9x \times x^0[/tex][tex]45 = 45 \times 1 = 45 \times x^0[/tex]Thus, the maximum of x that can come out common out of these two terms is [tex]x^0[/tex] (its degree, or power, or exponent is 0)
Thus, the largest degree of x that can be factored out of all terms 9x and 45 is 0
Learn more about exponentiation here:
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A medium artichoke contains about 14% of the recommended amount of a certain mineral an average adult should have each day. About how many grams of the mineral should the average adult have each day?
Answer:
0.0238 g
Step-by-step explanation:
Given that:
the certain mineral = potassium and a medium artichoke contain about 0.17 g of it.
Suppose a medium artichoke contains about 14% of the recommended amount of a certain mineral.
On Average, the amount an adult should have each day = 0.17 g × (14/100)
= 0.0238 g
Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?
divide 9.75 by 15 equals sixty ixty five cent's
Which fraction represents the ratio of the red portion of the circle to the
complete circle?
Answer:
can you add a picture of the circle?
Step-by-step explanation:
Solve for x!!! Help please this is urgent!!!
Answer:
46.6
Step-by-step explanation:
[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]
What is the relationship between two similar quadrilaterals and their areas?
Quadrilaterals with same length and breadth or height have same areas.
Step-by-step explanation:
You can prove this by drawing two quadrilaterals individually and then by calculating there areas.
Write the percent as a fraction in lowest terms: 20%
Answer:
1/20
Step-by-step explanation:
1/20
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
If you put $100 in a savings account with an interest rate of 2% per year and left the money in the account for five years, how much money would be in the account after five years?
Answer:
$510
Step-by-step explanation:
Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time
Total amount of money = 100 × [tex]\frac{100+2}{100}[/tex] × 5
= 510
find the nth term, a1 = 24, d = 8, n = 25 loljejehwhwhshsh
THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying
The function f(x) = –2x2 + 32 represents the height of an object, f(x), after x seconds. How many seconds does it take for the object to hit the ground?
Given:
The height of an object, f(x), after x seconds is
[tex]f(x)=-2x^2+32[/tex]
To find:
The time taken be object to hit the ground.
Solution:
We have,
[tex]f(x)=-2x^2+32[/tex]
The object will hit the ground if the height is 0, i.e., f(x)=0.
[tex]0=-2x^2+32[/tex]
[tex]2x^2=32[/tex]
Divide both sides by 2.
[tex]x^2=\dfrac{32}{2}[/tex]
[tex]x^2=16[/tex]
Taking square root on both sides.
[tex]x=\pm 4[/tex]
Time cannot be negative. So, x=4.
Therefore, the object will hit the ground after 4 seconds.
What kind of triangle is this?
Answer: acute
Step-by-step explanation: its not right cuz there a 90 degree angle and it isnt obtuse
Anyone here good at algebra? if so PLEASE HELP MEH ;-;
find slope of the line passes through (7, 3)and (9, 6
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
Hope this helps! :3
plz mark as brainliest!
Help ASAP, WILL MARK BRAINLIEST!!
please look at image before answering!
Answer:
To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.
Step-by-step explanation:
Evan is making ham and cheese sandwiches for a party.
Each sandwich is made from 1 bread roll, 1 cheese slice and 1 ham slice.
He has bought bread rolls in packs of 9, cheese slices in packs of 6 and ham slices in packs of 8.
When Evan has finished making the sandwiches, there is nothing left in any of the packs.
What is the minimum number of packs of each ingredient that Evan could have bought?
Find the least common multiple.
List the multiples of each:
9, 18, 27, 36, 45, 54, 63, 72
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
8, 16, 24, 32, 40, 48, 56, 64, 72
The least common multiple is 72
The number of packs of each would be:
Bread rolls: 72/9 = 8
Cheese = 72/6 = 12
Ham = 72/8 = 9
Can you please help me?!!!
Answer:
2 2/3
Step-by-step explanation:
Answer:
-7 1/3
Step-by-step explanation:
I already learned how to do that
5. The table below shows the participation in a school's debate club
during the last four years,
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth?
By what percent did it grow? Round to the nearest whole number.
Q3-4
lol
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40/50
What is the value of n in the equation below 9n-24=4n+6
Answer:
6 (I believe so)
Step-by-step explanation:
9n-24=4n+6
9n=4n+30
5n=30
n=6
Answer:
n=6
Step-by-step explanation:
9n - 24 = 4n + 6
-4n -4n
5n - 24 = 6
+24 +24
5n = 30
divide both sides by 5
n = 6
hope this helps!!!
please please help i’ll give brainliest tysm :)
Answer:
4,400
Step-by-step explanation:
Hope this helps!
Which is the solution to this system of equations?
x - 2y= 15
2x + 4y = -18
What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, ...
Answer:
It would not be a positive 5 but a -5 as your answer.
Step-by-step explanation:
45-5=40 and so forth
Find the slope (3,6)
(3,-3) need in 5 minutes
Answer: The slope is undefined.
Step-by-step explanation:
Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.
(3,6)
(3,-3)
y coordinates: 6 - (-3) = 9
x coordinates: 3- 3 = 0
9/0 = undefined.
Any number being divided by 0 is undefined because you can't divide something by anything.
Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3