Answer:
4
Step-by-step explanation:
f(-3) simply means finding -3 for on the x axis and location its y coordinate. Hope it helps!
Solve the system of equations - 8x - 8y = 0 and -5x – 7y= -12 by combining
the equations
Answer:
y=-12/15-13/15x
Step-by-step explanation:
Daniel has $100. After he buys 4 pencils and 3 pens, he has $7 left. If each pencil costs $3 more than each pen, is $25 enough to buy 2 pens?
Answer: Yes, Daniel has enough money to buy 2 pens.
=========================================================
Explanation:
x = cost of one pencil
y = cost of one pen
4x = cost of 4 pencils
3y = cost of 3 pens
4x+3y = cost of 4 pencils and 3 pens
100 - (4x+3y) = amount Daniel has left = 7 dollars
100-(4x+3y) = 7 is one equation we can form
Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".
Let's plug that into the first equation and solve for y.
100-(4x+3y) = 7
100-(4(y+3)+3y) = 7
100 - (4y+12+3y) = 7
100 - (7y+12) = 7
100 - 7y - 12 = 7
-7y + 88 = 7
-7y = 7-88
-7y = -81
y = -81/(-7)
y = 11.57 is the cost of one pen
2y = 2*11.57 = 23.14 is the cost of two pens.
Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.
hii the lateral surface area of a cube is 256 m cube . find the volume of the cube
Answer:
512cm3
Step-by-step explanation:
A lateral surface area of a cube is 256 m2. Find its volume.
A cube is a three-dimensional shape that is made up of 6 congruent square faces.
Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.
The lateral area of a cube is the sum of areas of all side faces of the cube
Explanation:
The lateral surface area (LSA) of the cube = sum of areas of all 4 side faces.
Let the edge length of the cube be x.
LSA = x2 + x2 + x2 + x2 = 4x2
Given that, LSA of the cube is 256 m2
4x2 = 256
x2 = 256/4
x2 = 64
x = 8
Length of edge of the given cube is 8 m.
The volume of a cube is x3.
The volume of cube = x3 = 83 = 512 m3
Thus, the volume of the given cube is 512 m3.
The volume of the given cube is 512 m³.
What is volume of cube?The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.
Given that, the lateral surface area of a cube is 256 m cube.
We know that, the formula to find lateral surface area of a cube is 4a², where a is edge of a cube
Now, 4a²=256
a²=64
a=8 m
The formula to find the volume of a cube is a³, where a is edge of a cube.
Thus, volume of a cube =8³ =512 m³
Therefore, the volume of a cube is 512 m³.
Learn more about the volume of a cube here:
https://brainly.com/question/11168779.
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Two bicyclists are traveling along the same road. Bicyclist A's distance, d, from a certain town after h hours Given by the equation
d = 11.5h + 5
Bicyclist B's distance from the same town is shown in the graph .
Which THREE statements are TRUE?
A
B is traveling 1 mile per hour faster than A.
B
After 2 hours, A will have traveled a total of 28 miles.
С
B started from the town, while A started 5 miles from the town.
D
After 5 hours, the two bicyclists will be the same distance from the town.
E
When the two bicyclists reach the same point. A will have traveled 5 more miles than B.
The correct statement are statements B and C
Distance time graphsGiven the following equation for the distance of Bicyclist A expressed as:
d = 11.5h + 5
After 1 hour for A
d(1) = 11.5 + 5
d(1) = 16.5
For bicycle B, the distance traveled after 1 hour is 12.5 miles from the graph. Hence B is not traveling 1 mile per hour faster than A.
After 2 hours for A;
d(2) = 11.5(2) + 5
d(2) = 23 + 5 = 28 miles
Hence after 2 hours, A will have traveled a total of 28 miles.
From the graph, we can see that B started from the town (origin), and from the equation, A started from 5 miles from town (y-intercept is 5)
Hence the correct statement are statements B and C
Learn more on the distance-time graph here: https://brainly.com/question/13877898
is -17/-40 equal to -0.425
[tex]\left[Hello,Dejanafryer23][/tex]
Answer:
No
Step-by-step explanation:
To Find if -17/-40 equal to -0.425...
We First have to turn -17/-40 into a decimal;
-17/-40 = 0.425 { Negative + Negative = Positive }
Thus,
0.425 > -0.425
Hence, Answer is -17/-40 is Not equal to -0.425
[RevyBreeze]
the lengths of the sides of a triangle are in the extended ratio 7:8:9 the perimeter of the triangle is 96cm. what are the lengths of the sides?
Answer:
28 cm, 32cm , 36cm
Step-by-step explanation:
Given:
The lengths of the sides of a triangle are in the ratio 7:8:9Perimeter of triangle is 96cmTo Find:
The lengths of the sides of triangle?Solution:
Let:
1st side = 7x 2nd side = 8x 3rd side = 9xAs, we know that,
★ Perimeter of Triangle = Sum of all sides ★
➝ 7x + 8x + 9x = 96cm
➝ 24x = 96cm
➮ x = 96/24
➮ x = 4
So, length of the sides are:
7x = 7 × 4 ➝ 28cm
8x = 8 × 4 ➝ 32cm
9x = 9 × 4 ➝ 36cm
Given :
The length of the sides of the triangle are in the ratio 7:8:9 .The Perimeter of the Triangle is 96 cm.To Find :
The length of the sides of the triangle.Solution :
Let us assume the sides be 7x cm, 8x cm and 9x cm.
We know,
[tex]\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}
[/tex]
So, Substituting the values :
[tex]\qquad { \dashrightarrow{ \sf{7x + 8x + 9x = 96}}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{24x= 96}}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ \dfrac{24x}{24} = \dfrac{96}{24} }}}[/tex]
[tex]\qquad { \dashrightarrow{ \bf{ x = 4 }}}[/tex]
Therefore,
The length of the sides of the triangle are :
[tex]\qquad { \dashrightarrow{ \sf{ 7x \: cm= 7 \times 4 \: cm = \bf \: 28 \: cm }}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 4 \: cm = \bf \: 32 \: cm }}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ 9x \: cm= 9 \times 4 \: cm = \bf \: 36 \: cm }}}[/tex]
20 points!!!!!
Solve by using the zero product property to solve y = x^2-4x-21 for its zeroes?
Explain in a short paragraph.
Answer:
x = -3 or 7
Step-by-step explanation:
The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.
__
The factored form of the given polynomial is ...
y = (x -7)(x +3)
The values of x that make these factors zero are ...
x -7 = 0 ⇒ x = 7
x +3 = 0 ⇒ x = -3
The zeros of the polynomial function are x = -3, and x = 7.
The relationship between the total distance traveled in miles, y, and time, in hours, x, can be described by the equation y=65x. What is the constant of proportionality?
Which graph represents a linear function?
Answer:
Graph D
Step-by-step explanation:
Graph A is incorrect because that is a graph of a negative exponential function.
Graph B is incorrect because that is a graph of a square root function.
Graph C is incorrect because that is a graph of a positive exponential function.
Graph D is correct because linear functions are always straight lines. Linear functions have the base equation of y = mx + b . Because there is only one "x" value to the first power, the function increases by the same amount between each "x" value.
Find the length of the hypotenuse round to the nearest hundredth
Answer:
[tex]\displaystyle 4\sqrt{5}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 4^2 = c^2; \sqrt{80} = \sqrt{c^2} \\ \\ 4\sqrt{5}\:[or\:8,94427191...] = b[/tex]
So, you have this:
[tex]\displaystyle 8,94 ≈ c[/tex]
I am joyous to assist you at any time.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
B. The total amount of tweets...
E. NCAA basketball tournament
F. Butterfly population doubles each month
An exponential function is a function that grows exponentially.
Exponential functions have a multiplicative rate of change. This means each term can be multiplied by a specific number to get to the next.
Example of an exponential function:
1, 2, 4, 8, 16, 32, 64, 128, 256...
Knowing this, let's look at each example.
A.
The rocket grows at a rate of 45 m/s, but then goes back down. This is not an exponential function. This is most likely a quadratic function.
B.
Each term is being multiplied by 4. This is correct.
C.
This is too vague. We cannot determine what this is.
D.
This is a linear function. It has an additive rate of change; not a multiplicative one. This is wrong.
E.
Each term is 50% of the previous one. This is correct.
F.
The population is multiplied by 2 each month. This is correct.
Answer:
2, 5, 6
(tweets, basketball, butterfly)
Step-by-step explanation:
Rocket: Quadratic function
Tweets: Exponential function (quadruples each time)
Water Park: Quadratic function (or absolute function)
Savings: Linear function (if simple interest)
**compound interest is exponential, but as it stops earning interest after the first year, it is not continually exponential**
Basketball: Exponential function (halves each round)
Butterfly: Exponential function (doubles each month)
Mr. And Mrs. Lorenzo want to buy a home valued at $213,500. If they have 18% of this amount saved for a down payment, how much have they saved? a. $384. 30 b. $3,843. 00 c. $38,043. 00 d. $38,430. 0.
Answer:
D- 38,430
Step-by-step explanation:
To find 18% of 213.5k, we need to convert 18% back into its decimal form (0.18), then multiply it by 213.5k and boom! there is your answer.
Someone pls help???????????????????????????????
What is 4. 9 ft rounded to the nearest tenth of a cubic foot
Factor completely 2x^2 + 4x - 2
Answer:
if i were to factor this would be the solution
2(x^2+2x-1)
Determine the value of x in the diagram.
x
2x
2x
Answer:
x = 60
Step-by-step explanation:
The sum of exterior angles in a rectangle is equal to 360
so to find the value of x we need to use all given values and write an equation:
x + 2x + x + 2x = 360 add like terms
6x = 360 divide both sides by 6
x = 60
One way to convert from inches to centimeters is to multiply the number of inches by 2.54, How many centimeters are there in ⅕ inch?
WILL GIVE BRAINLIEST
Answer:
0.508 cm
Step-by-step explanation:
Your problem statement tells you that you can find the number of centimeters by multiplying 1/5 inch by 2.54 cm/in:
1/5 × 2.54 = 0.508
1/5 inch is 0.508 centimeters
Complete the steps to find the sum. What is the sum? –7g4 4g3 – 3g2 5g – 3 –4g4 – 3g3 4g2 5g 3 –4g4 4g2 14g – 6 –3g4 14g – 6.
The sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].
Given polynomials are:
[tex]1)g^2-4g^4+5g+9\\\\2)-3g^3+3g^2-6[/tex]
What is a polynomial?A polynomial is an algebraic expression that constitutes monomials of the form ax^n where n is a whole number.
The sum of expressions is
[tex]g^2-4g^4+5g+9-3g^3+3g^2-6[/tex]
Now, add monomials having similar exponents, like if monomial is like [tex]g^2[/tex] add it with another monomial having a term [tex]g^2[/tex] and do the same for other monomials.
[tex]g^2 + 3g^2 -4g^4+5g-3g^3+9-6[/tex]
[tex]4g^2-4g^4+5g-3g^3+3[/tex]
Therefore, the sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].
To get more about polynomials visit:
https://brainly.com/question/2833285
Answer:
B
Step-by-step explanation:
Pls help with this Find the circumference of the object. Use $3.14 or 22/7 for Pi. Round to the nearest hundredth if necessary.
Answer: Plese mark brainlest
the circumference is 12.56meters squared
Step-by-step explanation:
please do the work thats all i need 50 points
Answer: i think it is -6 but im not sure I never learned this
Step-by-step explanation:
Step-by-step explanation:
Recursive Rule would get by just carefully analysing the pattern and common difference.
a1 = 0 ,
d = a2-a1 ==> d = -3-0 ==> d = -3 ...(common difference)
so here, an would be,
an = a1 + (n-1) d
==> an = 0 + (n-1)(- 3)
==> an = -3(n-1)
==> an = -3n+3
so the final answer is [an = -3n + 3 ]
What is this question?
Answer:
so its saying ummm write x with < or > or the other ones but with equal on the bottom
i think the answer here would be x < 5
Step-by-step explanation:
because it cannot be equal to 5 since the circle is hollow. also x just goes to the number less than 5
send help please!! i want to complete it asap
Write the reciprocal of the number.
28) 1/7
29) 6
30) 1 1/8
31) 3 1/3
32) 2 1/4
33) 2/5
Answer:
1/7 = 7/1
6= 1/6
1 1/8= 9/8= 8/9
3 1/3 = 10/3 = 3/10
2 1/4 = 9/4 = 4/9
2/5 = 5/2
Step-by-step explanation:
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.
The reciprocal of a number is the number you would have to multiply it by to get the answer 1.
Answer:
28) 7/1
29) 1/6
30) 8/9
31) 3/10
32) 4/9
33) 5/2
Step-by-step explanation:
Use the distributive property to write an equivalent expression.
12(4n+10). ASAP, thank you.
Answer: 48n + 120
Step-by-step explanation:
12(4n+10)
12(4n) + 12(10)
48n + 120
Use the formula d= rt. Find tfor r= 2.3 cm/s and d=596.39 cm.
Answer:
t = 259.3
Step-by-step explanation:
d = rt ( divide both sides by r )
[tex]\frac{d}{r}[/tex] = t ( substitute values for d and r )
[tex]\frac{596.39}{2.3}[/tex] = t , then
t = 259.3
find the value x from the diagram below and then find M ∠ ABC
Answer:
Answer: x = [tex]\frac{25}{6}[/tex]
∠ABC = 53°
Step-by-step explanation:
Solution In given triangle, 2B=12x+3
12x+3
∠A = 86 , ∠C = 43°
We know that, Sum of all angles of triangle is 180°
86
∴ ∠A+ ∠B + ∠C = 180°
a
86 + 12x+3+ 43 = 180°
4-3
12x = 180° - 130
X = [tex]\frac{50}{12}[/tex] x = [tex]\frac{25}{6}[/tex]
с
∠ABC = 12x + 3 = [tex]\frac{12}{6}[/tex]x25 +3 → 50+3 = 53
Solve for all values of x by factoring x2-8x-6=-6
Answer:
Step-by-step explanation:
2−8−6=−6x2−8x−6=−62−8−6−(−6)=0x2−8x−6−(−6)= 02Add the numbers3Use the quadratic formula3 more stepsSolution=8=0
Answer:
[tex]x=0,8[/tex]
Step-by-step explanation:
[tex]x^2-8x-6=-6[/tex] ( Cancel 6 from both sides)
[tex]x^2-8x=0[/tex] ( Factor out the common term x)
[tex]x(x-8)=0[/tex]
[tex]x=0\: or\:x-8=0[/tex]
let's solve the equations
[tex]x-8=0\\x-8+8=0+8\\x=8[/tex]
[tex]x=0[/tex]
Therefore, x=0,8
~
The radius of a circle is 7.9 ft. Find the circumference \to the nearest tenth to the nearest tenth.
Answer:
49.6 ft.
Step-by-step explanation:
The formula for circumference is 2πr, so just plug the radius into the formula.
2*π*7.9=49.637 ft
Round that to the nearest tenth to get 49.6 ft.
A cylindrical milk storage tank needs to be built to hold 84.78 cubic feet of milk. The foundation for the tank has already been poured out of 6 foot thick concrete. The radius of the tank will be 3 feet. What is the minium height that the tank can be (in feet)?
Answer:
3 or 2.999 (probably 3)
Step-by-step explanation:
So the volume of a cylinder = πr^2 * h
h = height
r = radius
now we know the radius. Leaving us with a simple equation which is:
π*9*h = 9π*h = 84.78 =
π*h = 9.42
h = 9.42 / π = 2.99847912785......
but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.
Reference my work if you're are confused, however, it's really messy so sorry about that.
The solids are similar. Find the volume V of the red solid,
7 mm
7 mm
21 mm
21 mm
Volume = 5292 mm
V
mm
Answer:
1764
.
.
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