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Write an expression that represents the height of a tree that begins at 2 feet and increases by 3
feet per year. Please help
Answer:
2+3x
Step-by-step explanation:
2 is starting height. 3 is multiplier of how much it increases per year. x is the number of years
The midpoint of AB is M (5,1). If the coordinates of A are (3,6), what are the
coordinates of B answers
The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).
What are the coordinates of the midpoint of the line segment AB?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Given that the midpoint of AB is M whose coordinates can be written as,
The x-coordinate of point B,
[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]
[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]
10 = 3 + x
x = 10 - 3
x = 7
The y-coordinate of point B,
[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]
[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]
2 = 6 + y
y = 2 - 6
y = -4
Hence, the coordinates of point B are (7, -4).
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The class wants to raise a total of $1750. If they receive a profit of $1.75 from each candy bar sold, how many bars must they sell to reach their goal?
Answer: 1,000
Step-by-step explanation:
1,750 divided by 1.75 =1,000
Answer:
1,000
Step-by-step explanation:
If the class wants to raise a total of $1,750 and make a profit of $1.75 from each candy bar that gets sold then you take the total and divide it by the amount of profit each bar makes. So you do 1,750 divided by 1.75 and that gives you 1,000. So the class must sell 1,000 candy bars to reach their goal.
The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis
Answer:4.0 and 6.0
Step-by-step explanation:
2x + y - z=-7
5y- z=1
3z = 12
solve the 3x3 system
Answer:
Step-by-step explanation:
3z = 12
z = 4
5y - 4 = 1
5y = 5
y = 1
2x + 1 - 4 = -7
2x - 3 = -7
2x = -4
x = -2
(-2, 1, 4)
if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(x^2 + 2x - 4)
3(x^2 + 2x - 4) + 1
3x^2 + 6x - 12 + 1
3x^2 + 6x - 11
Evaluate 35.2 - 62.71
Answer:
-27.51
Step-by-step explanation:
subtract the two numbers
HELPPPPPPPPP MEEEEEEEEE! DUE IN 30 MIN!!! I REALLY NEED HELP WITH THIS PROBLEM!!!
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind-reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind-reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?
Answer:
56 underwater breathing potions.
Step-by-step explanation:
Written algebraicly, f=m+10 and b=3m+2, with f being flying potions, b being breathing underwater, and m being mind reading potions. We know that f+b+m=102, so replace f and b with the equations. You get m+10 + 3m+2 + m +102. Combine like terms to get 5m+12+102. Subtract 12 from both sides to get 5m=90, and divide both sides by 5 to get m=18. Now take b=3m+2 and replace m with 18. Now you have b=3(18)+2. 3 times 18 is 54, plus 2 is 56. :)
3. Given the following table find the slope 2 6 8 Time (hours) Distance (miles) 3 6 9 12
Answer:
3/2
Step-by-step explanation:
when you plot it time is x and distance is y so go up 3 right 2
What is 3 1/3 + 4 4/6=?
Answer:
8
Add the fractions.
3 1/3 + 4 4/6 = 8.
The answer is 8.
Answer:
the answer is 8
Step-by-step explanation:
1/3 plus 4/6 is 1
1+3+4 is 8
Solve for p if 2lpl = 4
O {-8, 8)
O{-4, 4)
O (-2, 2)
Answer:
Step-by-step explanation:
2|p|= 4
2p = 4
p = 2
-2p = 4
p = -2
(-2, 2)
A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle of hot sauce did Leigh use for lunch? A)26/36 B)5/36 C)1/6 D) 1/2 E) 1/3. PLEASE HELP.
Answer:
C) 1/6
Step-by-step explanation:
2/9 of 3/4 is ...
[tex]\dfrac{2}{9}\times\dfrac{3}{4}=\dfrac{2\cdot 3}{9\cdot 4}=\dfrac{6}{36}=\boxed{\dfrac{1}{6}}\qquad\text{matches C}[/tex]
Answer:
hlp
Step-by-step explanation:
A = bh; solve for h
h =
Answer:
The value of h is
h = A/b.
What is the equation of the line that is perpendicular to
the given line and passes through the point (3,0)?
A. 3x+5y=-9
B.3x+5y=9
C.5x-3y=-15
D.5x-3y=15
Answer:
answer is D
shown below
The equation of the line that is perpendicular to the given line and passes through the point (3,0) is 3y - 5x = -15.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have the points as (-3, 2) and (2, -1).
So, the slope of line
slope = (-1 -2)/ (2 -(-3))
slope = -3/5
So, the slope for the perpendicular line is
slope= 5/3
Now, using the slope intercept form
y= mx+ b
y= 5/3x + b
and, the line passes through (3, 0)
0= 5/3(3)+ b
b= -5
Then, the equation of line is
y= 5/3x -5
3y - 5x = -15
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A car rental company charges $31 per day to rent a particular type of car, and $0.19 per mile. Juan is charged $59.31 for a one-day rental. How many miles did he drive? (Show your algebraic work)
x = # of miles
$59.31 = $31 + $0.19x
Subtract $31 from both sides
$28.31 = $0.19x
Divide both sides by $0.19
149 = x
Juan drove 149 miles
Li cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many pieces of string did she cut?
Answer: 12
Step-by-step explanation: 6 times 2 is 12 and she has a 6 inch string and each peace is 1/2 inch long so she would have 12 peaces of string.
there are 400 pens in a shop 40percent are black 20percent of the other colored pens are blue and 10percent of other pens are yellow if the remaining are red what percent of pens are red
f(x) = 14 - 0.52
f(30)
Steps to solve:
f(x) = 14 - 0.5x when x = 30
~Substitute
f(30) = 14 - 0.5(30)
~Simplify
f(30) = 14 - 15
~Subtract
f(30) = -1
Best of Luck!
can u solve 0=4(x+5)+8
Answer:
0 = 4x +20 +80=2×(2x +14)0=2x+14=)2x =-14=)x =-7Answer:
x = 7
Step-by-step explanation:
0 = 4(x+5) + 8
expand:
0 = 4x + 4*5 + 8
0 = 4x + 20 + 8
0 = 4x + 28
simplify
4x = 28
simplify
x = 28 / 4
x = 7
Can you simplify 10/16?
Answer:
5/8
Step-by-step explanation:
Through; (4,-1), parallel to y=-2/5x+3
Step-by-step explanation:
I'm sorry but what is question? You're just saying a coordinate and a line equation.
Simon is making a poster about friendship in his art class. He divides his poster into 3 equal parts. Simon writes the names of his friends all over each part. Simon uses 1 part for his neighborhood friends and 1 part for his friends from school.
What fraction of the poster does Simon use for his friends from school?
Answer:
1/3
Step-by-step explanation:
The most important thing to remember is that the poster is divided into three equal parts and 1 part of it is for his neighborhood friends and another one part of it is for his friends from school. The denominator would be three and the numerator would be the 1 part he uses for his friends from school.
What is the perimeter of a rectangle that
has a length of 9 cm and a width of 6
cm?
A. 54 sq. cm B. 54 cm
C. 30 cm
D. 30 sq. cm
Answer:
The answer is option CStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
l = 9 cm
w = 6 cm
Substitute the values into the above formula and solve
We have
P = 2(9) + 2(6)
= 18 + 12
We have the final answer as
P = 30 cmHope this helps you
Answer: d.30cm
Step-by-step explanation:
the formula for perimeter is P=2L+2W
Substitute the length and width
P= 2(9)+2(6)
Multiply
P= 18+16
Add
P=30
Add the unit
P= 30cm
make q the subject of the formula 2(q+p)=1+5q
Answer:
Step-by-step explanation:
2q + 2p = 1 + 5q
-3q + 2p = 1
-3q = 1 - 2p
3q = 2p - 1
q = (2p -1)/3
A bag contains 7 red marbles 4 blue marbles and 5 green marbles. If three marbles are drawn out the bag what is the probability to the nearest 1000th that all three marbles drawn will be green
Answer:
0.063
Step-by-step explanation:
What type of number is -18
Answer:
a nagitive integer
Step-by-step explanation:
an integer is a whole number
HELP!!! Please convert y = 1/3x+9 (slope intercept form) to point slope form
Answer:
I hope it will help you...
-1=(5+x)/6
Please help me
Answer:
-11
Step-by-step explanation:
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]-1=\frac{\left(5+x\right)}{6}[/tex]
Switch sides:
[tex]\frac{\left(5+x\right)}{6}=-1[/tex]
Multiply both sides by 6:
[tex]\frac{6\left(5+x\right)}{6}=6\left(-1\right)[/tex]
[tex]5+x=-6[/tex]
Subtract 5 from both sides:
[tex]5+x-5=-6-5[/tex]
[tex]x=-11[/tex]
por favor ayúdenme en esta ecuación: 5x-3x=6x-8
Hey there!
ANSWER: [tex]x=2[/tex]EXPLANATION:[tex]5x-3x=6x-8[/tex]
Combine like terms.
[tex](5x+-3x)=6x-8\\2x=6x-8[/tex]
Subtract 6x from both sides of the equation.
[tex]2x-6x=6x-8-6x\\-4x=-8[/tex]
In the last step, we will divide both sides by -4.
[tex]\frac{-4x}{-4} =\frac{-8}{-4} \\x=2(ANSWER)[/tex]
Hope this helps and have a great weekend!
[tex]\text{-TestedHyperr}[/tex]
Answer: x = 2
Step-by-step explanation: Aquí esta :
Simplificar 5x - 3x y eso se de 2x
1.) 2x = 6x-8
Sustraer 6x-2x
2.) 2x-6x= -8
Y entonces deberías haber obtenido 4x
3.) -4x=-8
Dividir ambos lados por -4
4.) x = -8/-4
Dos negativas hacen una positivo
5.) x = 8/4
Finalmente, la repuesta es :
6.) x = 2