Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line
Determine whether the quadratic function shown below has a minimum or
maximum, then determine the minimum or maximum value of the function.
f(x) = –2x2 - 4x-8
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Step-by-step explanation:
4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?
Answer:
assuming its dividing by two, 7.8135
Step-by-step explanation:
if you're dividing by something else the answer will be different. hope this helps
what is the sum of x+8
Answer:
8 + x
Step-by-step explanation:
you can't combine unlike terms so the equation remains the same, but you should always put integers before variables and coefficients
Solve for x for 1 and 2
Answer:
1. 37.5
2. 8
Step-by-step explanation:
1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.
this means that 16/46 = 20/(x+20)
then, just solve that for x
16/46 = 20/(x+20)
divide both sides by 4
4/46 = 5/(x+20)
multiply both sides by (x + 20)
(x+20) * 4/46 = 5
multiply both sides by 46
4x + 80 = 230
subtract 80
4x = 150
divide 4
x = 37.5
2. do the same thing ( still similar triangles)
the equation would be (3x + 1)/10 = (7x - 1)/22
solve
22(3x + 1) = 10(7x - 1)
66x + 22 = 70x - 10
32 = 4x
x = 8
Reposting this question because of the bots sending links
I need help and I can’t find any sadly. Help!!
Answer:
Step-by-step explanation:
for 1. The addition property of equality esssentially means that if you were to add/subtract the same value to both sides of the equation, the equation would remain equal. this would be associated with 3. since adding 12 to both sides would give x on one side and 16 on the other which is equal to x=16
for 2. "given" just means the problem, so it is the 1st option. it just means "given the problem..."
for 3. collectiing like terms is the addition of -5x +6x. since they are on the same side eof the equation, and are in the same measurements (of x) they can be combined to eqaul positive x, this is represented by option 2
Determine the total number of roots of each polynomial function.
f (x) = (3x4 + 1)2
What is the slope of the line through (-10, 1) and (0, -4)?
Answer:
-1 / 2.
Step-by-step explanation:
The Slope of a line when given two points:
First establish the two points as (X1, Y1) and (X2,Y2)
you can decide which point is (X1, Y1) and which point is (X2,Y2) in any order
So I choose (X1, Y1) = (-10,1) and (X2,Y2) = (0,-4)
Next use this equation to find the difference in rise/run (rise over run): (Y2 - Y1) / (X2 - X1)
Now we're ready to solve by plugging in our points: ( (-4) - 1 ) / ( 0 - (-10) ) **DON'T FORGET negatives attached to numbers when plugging in**
Solve: (-5) / 10 = -5 / 10 or -1 / 2 reduced by taking out a 5 from top and bottom. So your slope is equal to -1 / 2.
Answer:
-1/2
Step-by-step explanation:
Is the relationship for Olivia’s puppy’s weight in terms of time linear or nonlinear? Explain your response.
Answer:
Olivia's puppy is linear i know this because after applying to the graph i got a straight line.
Step-by-step explanation:
Answer:
When looking at the table you can see that for every increase of 1 in the x value it results in an increase of 1 in the y value. The rate of change is constant.
Rate of change is calculated by the change in y/change in x
For the points (1,2), (3,3) and (5,4) the rate of change calculation would be as follows:
(1, 2)(3, 3)
3-2 / 3-1= 1/2
(3, 3)(5, 4)
4-3 / 5-3= 1/2
Since both equal 1/2 the rate of change is constant therefore making it linear.
Step-by-step explanation:
What is 2+2+?+10+?-2+9=?
[tex]2+2+x+10+x-2+9=x\\2+2+x+10+x-2+9 -x=0\\(2+2+10-2+9)+(x+x-x)=0\\21+x=0\\x=-21[/tex]
ANSWER: ? = -21
P/s: ? = x < let ? is x >
ok done. Thank to me :>
Answer:
The answer can be 25 or higher.
Step-by-step explanation:
This is because I added: 10+9=19+2+2+2=25. Then we have 2 ? marks. There are + signs next to them so the answer is 25 or higher.
write 15 and 40 ratio simplest form
Answer:
15:40
Step-by-step explanation:
can somebody help me put them in the right spot?
The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]--(1)
[tex]\\ \sf\Rrightarrow y=x+1[/tex]--(2)
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
(x,y)=(0.5,1.5)Please help asapppppp!!!!!
Answer:
x is 8.2 I think hold on
yeah I think
please help me asapppp
ty :D
Answer:
3x+5y-20
have a nice day
What is the answer
80x+56=100
Answer:
Ur answer buddy
The equation80x+56=100First, solve like this80x = 100 - + 56U have to know the formula - + = -+ + = -- - = ++ - = +
So, The answer is 80x = 44Now , we have divide 80/44 = 40/22 = 20/11= 1.8182.Repost* Can someone plz help? :(
Answer:
2.5
Step-by-step explanation:
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Answer:
2.5
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Step-by-step explanation:
P = 6 ft. Find the length of side H.
3.5 ft
3 ft
2 ft
2.5 ft
Answer:
The answer is 2.5 ft.Step-by-step explanation:
Using Pythagoras theorem, let's find 'H'.=> H² = 2² + 1.5²=> H² = 4 + 2.25=> H² = 6.25=> √H² = √6.25=> H = 2.5Conclusion:
Therefore, the answer is 2.5 ft.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but it’s not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint
Answer:
do you have any image of the question? If yes please pose here.
Answer:
See below:
Step-by-step explanation:
I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.
what is 1029384756 x55 pls help
Answer:
1029384756 x 55
= 56616161580
(PLEASS HURRY IM BEING TIMED)
(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:
(Giving Brainliest)
Looks like you have 2 similar triangles.
all the angles from one triangle are congruent to all the angles from the other triangle.
The sides must be proportional.
Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.
Cross multiply h to get 6*25 = 5*x.
Divide both sides of the equation by 5 to solve for x to get:
x = 6*25/5 = 6*5 = 30.
cupcakes The equation y = 2x models the cost for cookie orders from the Dotted Box Bakery, where x is number of cookies and y is cost in dollars. What is the cost per cookie?
Answer:
y=-4x+16
Step-by-step explanation:
5x+1.25=20
y=4x
5x+1.25y=20 y=4x
1.25y=-5x+20
1.25y/1.25=-5x+20/1.25
Find the value of x so that the ratios are equivalent.
9:x and 54:8
Answer:1.33 (Repeated decimal)
Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.
Which of the following is equivalent to 16/3
Answer:
C
Step-by-step explanation:
6÷3=2
9÷3=3
combined that is 15/3
so the extra 1 goes back into the fraction
giving us 5 1/3
Help help help math math
Answer:
V = 4000 ft³
Step-by-step explanation:
if diameter is 20 then radius is half that, or 10
use formula:
V = 4/3(3)(10)³
V = 4(10)³
V = 4(1000)
V = 4000 ft³
In absolute value equations when it equals to a negative number in the beginning do I make it positive in the positive case?
Answer: x can equal a negative number
Step-by-step explanation: it only exists on the side of the equation with the absolute value not the side that doesn’t If you want help with graphing I can do that too! Hope this helps
100 people planned to run to raise funds for a charity. Twenty percent of them ran 3 miles, two-fifth ran 6 miles, and the rest ran 9 miles. For every mile run, they raised $20. What was the total amount raised for the charity?
Answer:
$13,200
Step-by-step explanation:
20*3=60*20=1200
40*6=240*20=4800
40*9=360*20=7200
1200+4800+7200=13200
ANSWER:
360
Step-by-step explanation:
Pleaseeee helpppp asappp
Answer:
14
Step-by-step explanation:
estimate 417 x 63 equals to
Answer:
24000
Step-by-step explanation:
400 can be rounded to 400 and 63 can be rounded to 60
400x60=24000
your exact product would be 26271
hope this helps
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression
Answer:
It would be 9.6 inches after 4 weeks.
The expression you would use is 5 + 2.5 × ww = ?
Step-by-step explanation:
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.
So the sunflower was 5 inches tall to start off.
First you need to do 2.5 times 4.
Which is 9.6 inches after 4 weeks.
The expression you would use is.
5 + 2.5 × ww = ?