the answer would be C
Step-by-step explanation:
seeing the graph u can see that it moving 2 right and 1 up
The slope of given line from the graph is 2. Therefore, option D is the correct answer.
In the graph, it is given that x-axis represents time (min) and y-axis represents volume(gal).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = Rise/Run
From the graph, the slope is
Slope (m)= 6/3
= 2
The slope of given line from the graph is 2. Therefore, option D is the correct answer.
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Greg is making dessert for his family. Each serving requires ⅕ tablespoon of vanilla. Greg needs to make 6 servings. How many tablespoons of vanilla does he need?
Answer:
1.2 tablespoons
Step-by-step explanation:
Just multiply 1/5 times 6 on your calculator and you should be able to get the answer.
1/5 x 6 = 1.2
What is a system of equations for the following situation? A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.
Answer:
5 children & 7 adults
Step-by-step explanation:
6a+10b=100$
a=5
b=7
(6×5)+(10×7)=30$+70$=100$
The required system of equation is given be x + y = 12 and 10x +6y = 100.
A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.
The equation is the relationship between variables and is represented as an example y = x +2 of a polynomial equation.
Let the number of adults be x and the number of a child be y.
Total people = x + y
20 = x + y - - - - -(1)
The cost to go to the movie is $10 for an adult and $6 for a child.
10x + 6y = total cost
The total cost for the group was $100.
10x + 6y = 100 - - - - (2)
Equations 1 and 2 represent the required system of equations.
Thus, the required system of equation is given be x + y = 12 and 10x +6y = 100.
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What is the following product? square root of 10 times square root of 10
Answer: 10
Step-by-step explanation:
√10 x √10
When a square root of an expression is multiplied by itself, the result is that expression...
10
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
Write 36 as a product of its prime factors
Answer:
36= 2^2 x 3^2
need hep now will make brainliest
Answer:
1) negative
2) positive
3) the quotient is 0 which is neither +ve or -ve
4) negative
Step-by-step explanation:
To find the sign of the quotient, you first check the sign of the two numbers..
If the sign of ONE of the numbers is negative and one is positive, then the sign of the quotient will be negative too.
If the sign of BOTH the numbers is negative, it'll also be negative and visa versa
Hope it helps
Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces
Answer:1 ounce
Step-by-step explanation:
Ravi lost 80 dollars from his pocket.
Write a signed number to represent this change.
Answer:
x - 80
Step-by-step explanation:
Ravi had x dollars in all.
x - 80
The radius of a semicircle is 5 feet. What is the semicircle's diameter?
Answer:
The diameter of the semicircle is 10 feet.
Step-by-step explanation:
This is because d=r2 or diameter=radius*2
Answer:
Step-by-step explanation:
[tex]Diameter= 2* Radius\\D = 2* 5\\D= 10[/tex]
the area of a square field is 50625 meter square find its perimeter
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
1. Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for
5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then
find Martha's profit?
Answer:
Numerical expression to represent this situation : 41 = 20 + P
Martha's profit is $21
Step-by-step explanation:
Total cost price for earrings for Martha = total money invested in material to make earrings = $20
No. of ear rings made = 10
No. of earrings sold for $5= 7
Total Price for these 7 earrings= $5*7 = $35
No. of earrings sold for $2= 3
Total Price for these 3 earrings= $2*3 = $6
Total price for all of the ten earrings = $35+$6 = $41
We know that
selling price = cost price + profit
Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings
let total profit be P
41 = 20 + P
Thus,
P = 41-20 = 21
numerical expression to represent this situation : 41 = 20 + P
Thus, Martha's profit is $21
please help Multiply -4w(w+2)
Answer:
-4w² - 8w
Step-by-step explanation:
All you need to do is distribute -4w. That means to multiply -4w to w and 2 separately. When you multiply -4w to w, you will get -4w² and when you multiply -4w to 2, you will get -8w.
The answers to this question
Answer:
See explanation
Step-by-step explanation:
The discriminant is [tex]{b^{2}-4ac }[/tex]
1. 9² - 4(1)(20) = 81 - 80 = 1 so there are 2 solutions
2. (-9)² - 4(3)(-13) = 81 + 156 = 237, so there are 2 solutions
3. The first answer is correct
4. The third answer is correct
The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?
The complete question is as follows.
The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?
(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]
(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]
(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]
(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]
(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h
Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];
Step-by-step explanation: To determine [tex]b_1[/tex]:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = ([tex]b_1 + b_2[/tex])h
[tex]\frac{2a}{h} = b_1 + b_2[/tex]
[tex]\frac{2a}{h} - b_2 = b_1[/tex]
To determine h:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h
To determine [tex]b_2[/tex]
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]
[tex]\frac{2a}{h} - b_1 = b_2[/tex]
Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.
People pay to visit a state home: Age 16+: £18.60 Under 16: £12.80 155 people pay and 49 of these people are under 16. How much money is collected?
Answer:
£2598.80
Step-by-step explanation:
155 people pay
49 are under 16
The number of 16+ people is: 155 - 49 = 106
Total money collected:
106 * £18.60 + 49 * £12.80 = £1971.60 + £627.20 = £2598.80
What single decimal multiplier would you use to increase by 4% followed by a 3% increase
Answer:
1.0712
Step-by-step explanation:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
hope this will help you, have a nice day!
I need this answered quickly. What is the value of d to the nearest hundredth?
Answer:
6.48
Step-by-step explanation:
you have to use the sin rule
Answer:
6.48
Step-by-step explanation:
a triangle has it side as r is 53 degree which is hypotenuse t opposite which is 14 s is adjacent find r and s
Answer:
sin(53°) = t/r
= 14/r
r = 14/sin(53°)
r = 17.53
tan(53°) = t/s
= 14/s
s = 14/tan(53°)
s = 10.55
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Answer:
-10
Step-by-step explanation:
expand: 3x-12>5x+2
subtract 3x and subtract 2 to both sides
-14>2x
which is just
2x<-14
so x<-7.
the only value is -10. :D
Answer:
-10
Step-by-step explanation:
3(x – 4) > 5x + 2
Distribute
3x -12 > 5x+2
Subtract 3x from each side
3x-12-3x > 5x-3x+2
-12 > 2x+2
Subtract 2 from each side
-12 -2 > 2x+2-2
-14 > 2x
Divide by 2
-14/2 > 2x/2
-7 > x
X must be less than -7
-10 is less than -7
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
Answer:
x = -2
Step-by-step explanation:
The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.
Looking at twentieth century mathematicians 1900 to 1999, what is the surname of the Iranian-born mathematician who won the highest honour in mathematics, the Fields Medal?
Answer: Maryam Mirzakhani
Step-by-step explanation:
The equation y=3x^2=3 is graphed below on Graph A. What is the equation graphed on Graph B?
Answer:
Equation given in graph B → y = -3x² + 4
Step-by-step explanation:
Equation of the graph A,
y = 3x² - 3
We have to find the equation of the graph (parabola) given in graph (B).
Parabola given in graph B is the inverted form of graph A with vertex at (0, 4)
Therefore, equation of the parabola given in graph B will be,
y = -a(x - h)² + k
where negative notation of the coefficient a shows the inverted form of the parabola given in graph A and (h, k) will be the vertex.
y = -3(x - 0)² + 4
y = -3x² + 4
Answer:
[tex]y = -3x^2 + 4[/tex]
Step-by-step explanation:
Hello!
The equation of a parabola is written as [tex]y = ax^2 + bx + c[/tex].
Y-interceptThe [tex]c[/tex] value of the equation determines the y-intercept, or where the graph hits the y-axis (x = 0).
In Graph A we can see that the graph hits the y-axis at -3, showing the y-intercept is also -3. We can use the same logic to determine the y-intercept of Graph B. We can see that it hits the y-axis at 4, so the y-intercept is 4.
A-value
The [tex]a[/tex] value determines the direction and width of the graph. If it is positive, it opens up. If it's negative, it opens down.
Since Graph B opens down, we can simply add a negative sign to indicate that it is a negative graph.
EquationWe can plug in the values that we solved for [tex]a[/tex] and [tex]c[/tex].
Equation: [tex]y = -3x^2 + 4[/tex]
Graph the inequality.
Answer:option D is m best guess
Step-by-step explanation:
correct me if im rong
Answer:
its C
Step-by-step explanation:
type < = to mean <
or > = to mean .
Jake began the day with 6 dollars in his wallet. Then he withdrew some
money from the bank and added that to what was already in his wallet. After
doing that, he had 31 dollars in his wallet.
Answer:
He added $25 to the contents of his wallet.
Step-by-step explanation:
Here's what's happening, symbolically:
$6 + m = $31, or m = $25. Jake added $25 (represented by m) to the contents of his wallet.
If f(x) = 1 - x and g(x) = 1-X, which is the rule of function (f-g)(x)?
Answer:
0
Step-by-step explanation:
f(x) = 1 - x
g(x) = 1-X
f(x) - g(x) = 1-x - (1-x)
Distribute
=1-x-1 +x
Combine like terms
0
Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?
Answer:
The new rate would be 3.75%
Step-by-step explanation:
Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.
A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)
New interest rate=4.5%-0.75%=3.75%
Answer: mine was: 4.125%
Step-by-step explanation:
Solve for x. 5 x − 29 > − 34 OR 2 x + 31 < 29
Answer:
x > -1
x < -1
Step-by-step explanation:
5x - 29 > - 34
5x > - 34 + 29
5x > -5
x > -1
2x + 31 < 29
2x < 29 - 31
2x < -2
x < -1
what is the area of a circle when radius=5
Answer:
Step-by-step explanation:
Radius of the circle = 5
Area of a circle = pi r^2
= 3.14 × 5^2
= 3.14 × 25
= 78.5
Hope this helps
Plz mark it as brainliest !!!!!!
Can someone please help me I’m stuck
Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]
Hope this helps!
Let p and q be real numbers such that the roots of
x^2 + px + q = 0 are real. Prove that the roots of
x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.
Answer:
Step-by-step explanation:
Known fact: all roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] are real if and only if
discriminant [tex]D = b^2 - 4ac \geq 0.[/tex]
We know that all roots of [tex]x^2 + px + q = 0[/tex] are real. We can derive from this condition that
[tex]p^2 - 4q \geq 0[/tex]. (<----------- HERE)
Let's do some simplification of second equation:
[tex]x^2 + px +q + (x + a)(2x + p) = 3x^2 + x(2p + 2a) + ap + q.[/tex]
So we want according to Known fact prove that discriminant of equation
[tex]3x^2 + x(2p + 2a) + ap + q = 0[/tex] is greater or equal zero.
[tex]D = (2p + 2a)^2 - 4\cdot 3 (ap + q) = 4(p^2 + a^2 + 2ap - 3ap - 3q) = 4(a^2 - ap + p^2 - 3q)[/tex].
To prove that [tex]D \geq 0[/tex], we can view D as polynomial of a:
[tex]D(a) = 4a^2 - a(4p) + 4(p^2 - 3q)[/tex].
Known fact #2: if quadratic polynomial have positive greatest coefficient and it's discriminant [tex]\leq 0[/tex] then polynomial always positive.
So remains to prove that
[tex](4p)^2 - 4\cdot 4\cdot 4(p^2 - 3q) \leq 0[/tex]
lets divide both side by [tex]4^2[/tex]:
[tex]p^2 - 4(p^2 - 3q) \leq 0[/tex]
[tex]-3p^2 + 12q \leq 0[/tex]
divide by 3
[tex]-p^2 + 4q \leq 0[/tex]
transfer terms to the other side:
[tex]0 \leq p^2 - 4q[/tex]
But we know that from "(<----------- HERE)"!!!
So Q.E.D.