Answer:
1) Slope = 2; y-intercept = 3
2) Slope = -3.7; y-intercept = 18
During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?
I got two answer when I solved it but I’m not sure which one is correct
Here what I got
For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5
I’m not sure if I’m correct or which is the right answer can someone expían ?
Answer:
profit(n) = n * .50
Profit(10) = 5.00
Step-by-step explanation:
Profit = amount of candy bars sold * profit per candy bar
profit(n) = n * .50
Let the number of candy bars sold be 10 ( n=10)
Profit(10) = 10 * .50
= 5.00
When you added you only added 9 .50 terms which is why you only got 4.50 for your answer.
Find a point-slope form for the line with slope 1/5 and passing through the point (-6,-4)
Answer:
(y +4) = 1/5( x +6)
Step-by-step explanation:
Point slope form is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
(y - -4) = 1/5( x - -6)
(y +4) = 1/5( x +6)
When filled to capacity, the water in the aquarium water
tank reaches 32 feet. The water is currently reaching 24
feet. What percentage of the tank is full?
Answer:
75 %
Step-by-step explanation:
The graph of the function f(x) = (x + 2)(x − 4) is shown.
Which describes all of the values for which the graph is negative and increasing?
all real values of x where x < −2
all real values of x where −2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0
Answer:
all real values of x where 1 < x < 4
If there is anything you don't understand let me know. Also, since the graph is supposedly shown you may even be able to get the information just by looking at the graph.
Step-by-step explanation:
A graph goes from being negative to positive (or the other way around) by passing through the x axis. Or in other words when f(x) = 0. So the trick is to find all 0s and then test if it is poitive or negative before and after the 0.
f(x) = (x+2)(x-4) is in factored form, so it gives the 0s. in factored form the 0s are the negatives of the numbers int he parenthesis. Or in other words (x+a)(x+b) would have 0s at -a and -b. Notie it is x+a but the 0 is at -a. so for (x+2)(x-4) the zeroes would be -2 and 4.
Then checking, we can say it is positive before -2, negative after -2 up until 4, then it is positive again.
For increasing and decreasing for anything other than a quadratic and linear function you need calculus. Since this is a quadratic though you don't need it.
With quadratics you need to know they have two parts. An increasing part and decreasing part. If you draw the graph of x^2 you can see it decreases until (0,0) then it starts increasing. -x^2 is the opposite. it won't always have the same changing point, but you can always tell if it increases first or decreases first. You look at if the coefficient next to x^2 is positive of negative.
In (x+2)(x-4) We have to expand first. so it becomes x^2 - 2x - 8. x^2 has 1 as its coefficent so we know it decreases first then increases. Also looking at (x+2)(x-4) you could say since the two xs have the same sign we also know it would be that. is one was positive and one negative, like (2x+1)(-3x+1) we would be able to say it increases first then decreases.
To know when it switches, since it is in factored form you find the point in the middle of the two zeroes, and that is where it switches. Since the zeroes are -2 and 4 we can say the middle (called the vertex) is at x=1 since it is 3 away from both 0s. So it decreases up until 1 then increases.
The different forms of quadratics have different easy methods of finding the vertex.
We could also actually use this information to say, since it is decreasing first we know it is positive before the first 0, then negative until the second 0, then positive again. Still would have to find the 0s though.
So now we know it is positive and decreasing until x=-2, negative and decreasing until 1, negative and increasing until 4, then increasing after that.
Since you want negative and increasing, that is 1 < x < 4
A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?
The side length was increased by 5.
The side length was multiplied by 5.
The side length was increased by 10.
The side length was multiplied by 10.
Answer:
second option : the side length was multiplied by 5.
Step-by-step explanation:
a = side length of the original square
A² = a×a
(a+5)×(a+5) = a² + 10a + 25
and that should be equal to a²×25
a² + 10a + 25 = 25a² ?
10a + 25 = 24a²
no, that is not true for all a
a×5 × a×5 = a²×25 = 25A²
this is the correct solution, as it is true for all a.
For the area to be 25a², the side length was increased by 5.
How to calculate the area of a squareLet a be the side length of the original square, hence:
A = a²
Increasing the length by 5 will give:
(a+5)×(a+5) = a² + 10a + 25
Factorizing the result
a² + 10a + 25 = (a+5)²
a² + 10a + 25 = 25a²
This shows that for the area to be 25a², the side length was increased by 5.
Learn more on area of square here: https://brainly.com/question/25092270
A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?
Answer:
2015-2010=5
50÷5=10
120-50=70
2017-2015=2
2*10=20
70-20=50mg
2018=50mg
Plzzzzz help ill make you brainliest
Jack's school is 6 km from his home. He goes to school by bus. One day on the way to school due to road construction the bus had to stop at a distance of 4,750 meters from his home. How far was the bus from school?
1 4,756 m
2 4,744 m
3 4,750 m
4 1,250 m
Answer:
4 1250 m
Step-by-step explanation:
Hope it helps you.
The entries in the register of a bank account are shown in the table.
Account Register
Date
Withdrawal
Deposit
Balance
April 2
$1,976.20
April 3
$27.60
April 6
$192.70
April 8
$532.18
April 9
$35.90
?
What is the balance in this register after the withdrawal on April 9 ?
O A. $1,187.82
O B. $1,645.02
OC. $2,307.38
O D. $2,764.58
If 9x -11=12, What is the value of 9x+7?
the trapezium is drawn on a centimetre grid
Answer:
21 cm²
Step-by-step explanation:
Applying,
A = (a+b)h/2............. Equation 1
Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.
From the diagram
Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)
Substitute these values into equation 1
A = 3(5+9)/2
A = 3(14)/2
A = 3×7
A = 21 cm²
Help me besties
Find the measure of each angle in a regular 55 sided polygon.
[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]
Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)
Complete question:
Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)
BC = 6 cm AC = 5 cm BA = 4 cm The perimeter of triangle ABC = 12 cm. The area of triangle ABC is One-third the area of triangle DEF.Answer:
2. A-C = 5 cm
3. B-A = 4 cm
4. The perimeter of triangle A-B-C = 12 cm.
Step-by-step explanation:
First, picture a triangle formed by points D-E-F.
Side F-D = 6 centimetersSide D-E = 10 centimetersSide F-E = 8 centimetersNow,
the midpoint of side F-D is A ⇒ 6/2 = 3cmthe midpoint of side D-E is B ⇒ 10/2 = 5cmthe midpoint of side F-E is C ⇒ 8/2 = 4cmThese values suggest that
Side F-A ⇒ 3 cm = Side B-C ⇒ 3cmSide E-B ⇒ 5 cm = Side A-C ⇒ 5cmSide F-C = E-C ⇒ 4cm = Side A-B ⇒ 4cmThe perimeter of the interior triangle ABC = 3cm + 5cm + 4cm = 12 cm
The total area of the interior triangle ABC is 1/4 the area of triangle DEF. You can see in the picture that there are four equal triangles inside DEF.
Answer:
B C and D
Step-by-step explanation:
right on edge
or
1. The starting point of a___ or____
is the endpoint.
Answer:
1. The starting point of a ray or line segment
is the endpoint.
Step-by-step explanation:
hope it may help you!
Answer:
The starting point of a ray or line segment is the endpoint.
Step-by-step explanation:
hope it may help you
Complete the statement
Answer:
<RQS = <RSQ
Step-by-step explanation:
IRQ = RS, then QRS is an isosceles triangle and the base angles are equal
<RQS = <RSQ
point a is on line segment RT. Given ST = 2x, RT = 4x, and RS = 4x -4 determine the numerical length of RS
Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions
Step-by-step explanation:
Let the increase in the size of the length and breath be 'x'.
The area of the rectangle = 12in × 8in
=96 in²
From the question,
(12+x)(8+x)=96×2 in²
or, 96+12x+8x+x²= 192
or, x²+20x+96-192=0
or, x²+20x-96=0
or, x²+24x-4x-96=0
or, x(x+24)-4(x+24)=0
or, (x-4)(x+24)=0
Either, Or,
x-4=0 x+24=0
Therefore, or, x= –24 (Which is impossible)
x=4
So the new dimensions are 12+4=16 inch and 8+4=12 inch.
can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1
Step-by-step explanation:
everything can be found in the picture
Find mZA and mZB.
Please help :)
Answer:
Angle A: 28 degrees
Angle B: 24 degrees
Step-by-step explanation:
Hi there!
The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:
[tex]4y-4+3y=52[/tex]
1) Solve for y
[tex]4y-4+3y=52[/tex]
Combine like terms
[tex]7y-4=52[/tex]
Add 4 to both sides to isolate 7y
[tex]7y-4+4=52+4\\7y=56[/tex]
Divide both sides by 7
[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]
Therefore, y is equal to 8.
2) Solve for angles A and B
Angle A:
[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]
Angle B:
[tex]3y\\=3(8)\\=24[/tex]
I hope this helps!
URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!
Answer:
y-1 = 2(x+2)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -1 = 2(x - -2)
y-1 = 2(x+2)
please answeer this
aaaaaaaaaaaaaaaaaaaaaa
Answer:
58 degrees
Step-by-step explanation:
The middle line in the box is the meadian so it points to 58 so yeah! Hope this helps! Good Luck!
Answer:
64
Step-by-step explanation:
the circle's area?
The diameter of a circle is 8 kilometers.
What is the circle's area?
( NOT 50.3 )
Step-by-step explanation:A≈50.27km²
d Diameter
8
km
d
r
r
r
d
d
C
A
Using the formulas
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·82≈50.26548km²
Questions and answers the answer is 50.27km
6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2
Answer:
C. a = 6√3, b = 12, c = 6√2
Step-by-step explanation:
First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:
cos(60°) = 6/b
0.5 = 6/b
b = 6/0.5
b = 12
Now we can find a using the Pythagorean theorem:
b² = 6² + a²
12² = 6² + a²
144 = 36 + a²
a² = 144 - 36
a² = 108
a = √108
a = 6√3
And now we can find c using cos again:
cos(45°) = c/b
√2/2 = c/12
c = 12•√2/2
c = 6√2
what is the estimate product of 345 and 34?
Answer:
7000
Step-by-step explanation:
Ayuda plissss es para hoy
Answer and Step-by-step explanation:
1.
First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\[/tex]
2 × [tex]\frac{5}{6}[/tex] = [tex]\frac{10}{6} = A) \frac{5}{3}[/tex] <- This is the answer. Esta es la respuesta.
2. First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\[/tex]
[tex]\frac{13}{11}[/tex] × [tex]\frac{11}{13}[/tex] = B) 1 <- This is the answer. Esta es la respuesta.
3. Make the fractions have the same denominator, then add, then multiply by 40.
Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.
[tex]\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\[/tex]
[tex]\frac{47}{40}[/tex] × 40 = E) 47 <- This is the answer. Esta es la respuesta.
I hope this helps! #TeamTrees #PAW (Plant And Water)
¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)
Find the value of x.
Answer:
17 degrees
Step-by-step explanation:
this is a 90 degree angle.
90 - 73 = 17
Hello again, do you mind helping me? Thank you
Answer:
P = 20 and A = 24
Step-by-step explanation:
6+6+4+4 = 20
6*4 = 24
Hope this helps
Another thrifty student has saved up $1400 working at City Beach. This person put the money into an account for
1 year, which generated $70 interest. What was the interest rate?
how do i work out the interest rate?
Answer 20%
Step-by-step explanation:
What would I say pls help me
Answer:
Hi, today we learned about (the lesson you choose) and the teacher told me to tell you what to do so you need to do your work or you will get in trouble
Step-by-step explanation:
A woman went shopping and spent 2/7 of all the money she had. Then she lost 2/5 of what she had left after shopping. How much money did hse. have before she went shopping if she now has $15.00. BTW I need to know ASAP pls.
Answer:
$35
Step-by-step explanation:
1-2/7=5/7 (remaining money left after shopping)
2/5×5/7=2/7 (amount of money lost)
5/7-2/7=3/7 (amount of money she has now)
3/7=$15
1/7=$5
7/7=$35
Hence, total amount of money she has before she went shopping=$35
hope it helps:))))
NEED HELP! Will give brainest!
Evaluate each expression. Show your work.
Answer:
Step-by-step explanation:
Hope this helps u !!