Answer:
Final answer in standard form of the line is [tex]4x+y=5[/tex].
Step-by-step explanation:
Given that slope of the lime m = -4
Now we need to find the equation of a line that has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form.
So plug the given slope m=-4 and the point (0,5) into point slope formula:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-5=-4\left(x-0\right)[/tex]
[tex]y-5=-4\left(x\right)[/tex]
[tex]y-5=-4x[/tex]
[tex]y=-4x+5[/tex]
[tex]4x+y=5[/tex]
Hence final answer in standard form of the line is [tex]4x+y=5[/tex].
Answer:
The equation of this line in standard form is
[tex]4x + y = 5[/tex]
Step-by-step explanation:
To find the equation of a line we need to know two points by which the line passes. You can also find the equation if you know a point through which the line passes and its slope.
For the equation of the line:
[tex]y = mx + b[/tex]
m is the slope and b is the section.
Sane that
[tex]m = -4[/tex]
To find b we substitute the point (0,5) in the equation and solve for b[tex](5) = -4 (0) + b[/tex]
[tex]b = 5[/tex]
The equation is
[tex]y = -4x +5.[/tex]
We rewrite the equation as:
4x + y = 5
Factor this expression
Answer:
x^2+6x+9
(x+3)^2
Step-by-step explanation:
write 9/5 as a sum of unit fractions
Answer:
4/5 + 5/5 = 9/5
Step-by-step explanation:
That's one of many ways you can do it
I think that he answer is 1 4/5
A train was traveling at a constant speed.the table below shows the distance,in miles the train traveled for the first 4 hours.Write an equation to represent the relationship between t,the time,and d,the total distance traveled by the train
Answer:
1 hour 95 min. 2 hour 190 min. third hour 285 min. fourth hour 380 min.
Step-by-step explanation:
Find the experimental probability that the first three students to arrive at school are boys
Answer:
that depends
Step-by-step explanation:
how many students are in the school all together, see you would do the 3 boys over the number of people (or students) in the school
hoped this helped a little
PLEASSE HELP!! WILL MAKR BRAINLIEST IF CORRECT!!!
Answer:
b. 26cm
oop I didn't realize this was in 2019:-:
Which quantity is proportional to 90⁄2? Check all that are true. 45⁄1 15⁄3 180⁄3 180⁄4 270⁄8
Answer:
45/1 and 180/4
Step-by-step explanation:
1. True
[tex]\dfrac{90}{2}=\dfrac{45\cdot 2}{1\cdot 2}=\dfrac{45}{1}[/tex]
2. False
[tex]\dfrac{15}{3}=\dfrac{3\cdot 5}{3\cdot 1}=\dfrac{5}{1}\neq \dfrac{45}{1}[/tex]
3. False
[tex]\dfrac{180}{3}=\dfrac{60\cdot 3}{3\cdot 1}=\dfrac{60}{1}\neq \dfrac{45}{1}[/tex]
4. True
[tex]\dfrac{180}{4}=\dfrac{45\cdot 4}{1\cdot 4}=\dfrac{45}{1}[/tex]
5. False
[tex]\dfrac{270}{8}=\dfrac{135\cdot 2}{4\cdot 2}=\dfrac{135}{4}\neq \dfrac{45}{1}[/tex]
Larry spends 3/4 hour twice a day walking and playing with his dog. He also spends 1/6 hour twice a day feeding his dog. How much time does Larry spend on his dog each day?
Answer:
1hr 40min.
Step-by-step explanation:
45+45=90+10=100
Need help
Divide
(x^2+5x+4)÷(x+2)
^= to the second
Step-by-step explanation:
[tex](x^2+5x+4)\div(x+2)^2=(x^2+4x+4+x)\div(x+2)^2\\\\=(x^2+2(x)(2)+2^2+x)\div(x+2)^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\bigg((x+2)^2+x\bigg)\div(x+2)^2=\dfrac{(x+2)^2+x}{(x+2)^2}=\dfrac{(x+2)^2}{(x+2)^2}+\dfrac{x}{(x+2)^2}\\\\=1+\dfrac{x}{(x+2)^2}[/tex]
Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
Answer: - 1/3 I just saw the other answer and got it wrong so I decided to give u guys the right answer !! :)
b) Are the black triangles above congruent or similar? Explain. (1 point)
Congruent because it contains the same angle measures and shape.
Answer:
congruent
Step-by-step explanation:
A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sold for $35, and each gizmo sold for $22, how many of each item did the company sell? Let x1 = the number of widgets sold and x2 = the number of gizmos sold.
Write an equation relating the number of each item sold to the total number sold: x1 + x2 =
Answer:
The company sold 100 widgets and 250 gizmos.
Step-by-step explanation:
Let [tex]x_1[/tex] be the number of widgets sold and [tex]x_2[/tex] be the number of gizmos sold.
We are told that the company sold 350 items. We can represent this information in an equation as:
[tex]x_1+x_2=350...(1)[/tex]
We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.
We can represent this information in an equation as:
[tex]35x_1+22x_2=9,000...(2)[/tex]
From equation (1), we will get:
[tex]x_2=350-x_1[/tex]
Substitute this value in equation (2):
[tex]35x_1+22(350-x_1)=9,000[/tex]
[tex]35x_1+7,700-22x_1=9,000[/tex]
[tex]13x_1+7,700=9,000[/tex]
[tex]13x_1+7,700-7,700=9,000-7,700[/tex]
[tex]13x_1=1,300[/tex]
[tex]\frac{13x_1}{13}=\frac{1,300}{13}[/tex]
[tex]x_1=100[/tex]
Therefore, the company sold 100 widgets.
Substitute [tex]x_1=100[/tex] in equation (1):
[tex]100+x_2=350[/tex]
[tex]100-100+x_2=350-100[/tex]
[tex]x_2=250[/tex]
Therefore, the company sold 250 gizmos.
Answer:
x1 + x2 = 350
Step-by-step explanation:
The total number of items sold is the sum of the number of widgets sold and the number of gizmos sold:
(widgets sold) + (gizmos sold) = total items sold
We are supposed to represent widgets sold using x1, and gizmos sold using x2. The total number of items sold is given in the problem statement as 350. Substituting these values into the above equation, we get the equation you're looking for:
x1 + x2 = 350
Find the surface area of the prism.
8 m
7 m
2 m
Answer:
the surface area of the rectangular prism is 172m
Which of the following expressions can be? factored to (3x^2+1)(4x-3)
Answer:
I think it's C, sorry if I'm wrong
Answer:
Step-by-step explanation:
(3x²+1)(4x-3) = 12x^3-9x²+4x-3.....answer 1
write a function rule for the table.
Answer:
the correct answer would be C sorry if I'm wrong but that's how I know how to do it
Write an expression to represent the perimeter of the figure.
Answer:
5x + 2y + z
Step-by-step explanation:
The perimeter of a polygon is the sum of the lengths of all the sides of the polygon. This polygons has 8 sides. Their lengths are:
x, x, x, x, x, y, y, z
The perimeter of the polygon is the sum of the lengths shown above.
perimeter = x + x + x + x + x + y + y + z
The expression above can be simplified by combining like terms.
perimeter = 5x + 2y + z
Which is the solution set of the inequality 15y-9<36?
Answer:
y < 3
Step-by-step explanation:
Given
15y - 9 < 36 ( Isolate 15y by adding 9 to both sides )
15y < 45 ( divide both sides by 15 )
y < 3
Answer:
y < 3
Step-by-step explanation:
on edge 2020
Evaluate (−481) power 0
Any number raised to the power of 0 equals 1.
(-481)^0 = 1
Answer:
1
Step-by-step explanation:
All numbers to the power of 0 is 1 with this reason:
x³
x² = x³/x
x¹ = x²/x
x⁰ = x/x
All numbers divided by itself is 1.
How many floors does she travel?
Answer:
15 floors
Step-by-step explanation:
She parks on the third floor below ground +3
She goes up to the twelfth floor +12
3+12=15
Use the quadratic formula s to solve 2y^2-6y-8=0
{-4,-1}
{4,-1}
{-4,1}
{4,1}
Answer:
{4, - 1}
Step-by-step explanation:
Given
2y² - 6y - 8 = 0 ← in standard form
with a = 2, b = - 6, c = - 8
Using the quadratic formula to solve for y
y = ( - (- 6) ± [tex]\sqrt{(-6)^2-(4(2)(-8)}[/tex] ) / (2 × 2)
= ( 6 ± [tex]\sqrt{36+64}[/tex] ) / 4
= ( 6 ± [tex]\sqrt{100}[/tex] ) / 4
= ( 6 ± 10 ) / 4
x = [tex]\frac{6+10}{4}[/tex] = [tex]\frac{16}{4}[/tex] = 4
OR
x = [tex]\frac{6-10}{4}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1
Solution is { 4, - 1 }
Marilyn lives 3.5 block from the library. She leaves the library and walks 3.5
blocks before realizing she is walking in the opposite direction from her house.
After walking 3.5 blocks back, how far does Marilyn have to walk?
Answer:
3.5 blocks.
Step-by-step explanation:
After walking 3.5 blocks back she is back at her starting point.
Marilyn has walked 7 blocks in total, going the wrong direction and back to the library. She still needs to walk another 3.5 blocks to reach her house.
Explanation:Marilyn has already walked 7 blocks (3.5 blocks in the wrong direction and 3.5 blocks back to the library). As her house is 3.5 blocks from the library, she has another 3.5 blocks to walk.
Learn more about Distance Calculation here:https://brainly.com/question/34212393
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Solve for x: x − 2 > 2x + 12. x > 14 x < 14 x > −14 x < −14
For this case we must solve the following inequality:
[tex]x-2> 2x + 12[/tex]
We follow the steps below:
We subtract 2x on both sides of the inequality:
[tex]x-2-2x> 2x + 12-2x\\-x-2> 12[/tex]
We add 2 to both sides of the inequality:
[tex]-x> 14[/tex]
We multiply by -1 on both sides of the inequality, taking into account that the sense of inequality changes:
[tex]x <14[/tex]
Answer:
[tex]x <14[/tex]
Answer:
The guys above is wrong because it should be x < -14 because you have to balance out both sides of the equation, you can't just do something to one side of the equation and not do it to the other.
Step-by-step explanation:
How to find the diameter?
I'm confused with where to start with this problem
Answer:
From the information, we know that the plate will hold 3 pieces of sushi, each with a diameter of 1 1/2 inches, and there be 1/2 inch space from the edge of the of the suchi to the edge of the plate.
The diamter of the suchi plates we need to puchase should be the sum of the diameter of the sushi and the the space between them and the edge of the plate:
(3 . 1 1/2) + (2 . 1/2)
= (3 . 3/2) + 1
= 9/2 + 1
= 9/2 + 2/2
= 11/2 = 5.5 (inches)
Answer:
From the information, we know that the plate will hold 3 pieces of sushi, each with a diameter of 1 1/2 inches, and there be 1/2 inch space from the edge of the of the suchi to the edge of the plate.
The diamter of the suchi plates we need to puchase should be the sum of the diameter of the sushi and the the space between them and the edge of the plate:
(3 . 1 1/2) + (2 . 1/2)
= (3 . 3/2) + 1
= 9/2 + 1
= 9/2 + 2/2
= 11/2 = 5.5 (inches)
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle. Right and solving equations to determine the measure of angle Y.
Answer:
angle Y = 90 degrees
Step-by-step explanation:
Since it is stated that angle x forms a straight line with the 50 and 50 degree angles, and that angle x is vertical to angle y, we can do 40+50+y=180 to find angle Y.
what's 22 * 19 + area model
Answer:
(20+2)(10+9)
Step-by-step explanation:
The area model is written as (a+b)(c+d). To write a multiplication problem into an area model, split it into numbers which add to it. Multiples of 10 are most commonly used.
For example 22*19 becomes (20+2)(10+9).
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
___ cm³
A rectangular prism with the width as five centimeters, the length as three and a half centimeters and the height as four and a half centimeters.
PLS HELP ASAP!!!
Answer:
78.75 cm³
Step-by-step explanation:
Volume = Width × Height × Length
V = 5 × 4.5 × 3.5
V = 78.75 cm³
What is the median of this data set? 100,102,103,106,109
The answer is 103 because it’s in the “middle”
Median means the middle number.
The answer : 103
Find the slope of a line perpendicular to y=3x+7.
Answer:
m=3
Step-by-step explanation:
Formula for m is m=-1/m
m=-1/3
What is the measure of PRQ?
Answer:
It makes sense for the answer to be 86 degrees since it's almost a right angle.
Answer:
The correct answer is option C. 86°
Step-by-step explanation:
From the figure we can see a circle.
To find the measure of <PRQ
Consider the triangle PQR,
<PRQ = <PTR + <RPT
From the figure we get,
<PTR = 102/2 = 51
<RPT = 70/2 = 35
<PRQ = <PTR + <RPT
51 + 35 = 86°
Therefore the correct answer is option C. 86°
How to solve for x/ extraneous solutions
Answer:
x = 8Step-by-step explanation:
[tex]\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D[/tex]
According to the rational root theorem which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20
Answer:
[tex]f(x)=3(x+2)(x-2)(x-\frac{5}{3})[/tex]
Step-by-step explanation:
The rational roots theorem tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.
In your case, for the polynomial [tex]f(x)=3x^3-5x^2-12x+20:[/tex]
the last term is 20;the leading coeeficient is 3.So, possible rational roots can be among:
[tex]\pm1,\pm2,\pm4,\pm5,\pm10,\pm20,\pm\dfrac{1}{3},\pm\dfrac{2}{3},\pm\dfrac{4}{3},\pm\dfrac{5}{3},\pm\dfrac{10}{3},\pm\dfrac{20}{3}.[/tex]
Note that
[tex]f(-2)=3\cdot (-2)^3-5\cdot (-2)^2-12\cdot (-2)+20=-24-20+24+20=0.[/tex]
This means that [tex]x=-2[/tex] is a root of the polynomial and [tex]x-(-2)=x+2[/tex] is the factor. Also
[tex]f(2)=3\cdot 2^3-5\cdot 2^2-12\cdot 2+20=24-20-24+20=0.[/tex]
This means that [tex]x=2[/tex] is a root of the polynomial and [tex]x-2[/tex] is the factor. Also
[tex]f(\frac{5}{3})=3\cdot (\frac{5}{3})^3-5\cdot (\frac{5}{3})^2-12\cdot \frac{5}{3}+20=\frac{125}{9}-\frac{125}{9}-20+20=0.[/tex]
This means that [tex]x=\frac{5}{3}[/tex] is a root of the polynomial and [tex]x-\frac{5}{3}[/tex] is the factor.
Then
[tex]f(x)=3(x+2)(x-2)(x-\frac{5}{3}).[/tex]