You are given two water jugs. One holds 5 gallons of water and the other holds 3 gallons of water. How can you use the two jugs to get exactly 4 gallons of water? Now your jugs can hold 11 gallons and 4 gallons. How can you use the two new jugs to get exactly 1 gallon of water? Show all work help me please
For the first one you just need to pour 1 gallon of water from the 5 gallon jug in the 3 gallon jug... If I understood well the question...
I think I probably didn't understand the question but...
Which polynomial function has a root of 3 with multiplicity 2 and roots of –10 and –1 with multiplicity 1? f(x) = (x – 10)(x – 1)(x + 3)(x + 3) f(x) = x(x – 10)(x – 1)(x + 3) f(x) = (x + 10)(x + 1)(x – 3)(x – 3) f(x) = x(x + 10)(x + 1)(x – 3)(x – 3)
Answer:
(x+10)(x+1)( x-3) ( x-3)
Step-by-step explanation:
root of 3 with multiplicity 2
( x-3) ^2 or ( x-3) ( x-3)
root of -10
(x- -10) is (x+10)
root of -1
(x - -1) is (x+1)
( x-3) ^2 (x+10)(x+1)
Answer:
C) f(x) = (x + 10)(x + 1)(x – 3)(x – 3)
Step-by-step explanation:
solve as whole number
Answer: x < 25
Step-by-step explanation:
2/3(x+2)-1/2(x-4)>1/4(x+5)
2/3x+4/3-1/2x+2>1/4x+5/4
Multiply both sides by 12
8x+40-6x>3x+15
2x+40>3x+15
2x-3x>15-40
-x > -25
x<25
Answer:
{x:x=[[3,4,5,6...]}
Step-by-step explanation:
x∈W
[tex]\frac{2}{3}(x+2)-\frac{1}{2}(x-4)>\frac{1}{4}(x+5)\\\frac{2x+4}{3}-\frac{x+4}{2}>\frac{x+5}{4} \\\frac{2(2x+4)-3(x+4)}{2*3}>\frac{x+5}{4} \\\frac{4x+8+3x-12}{6}>\frac{x+5}{4} \\\frac{x}{y} \frac{x-4}{6}>\frac{x+5}{4}\\ 4(x-4)>6(x+5)\\ 4x-16>6x+30\\ 4x-6x>30+16\\ -2x>46\\ x<-23\\x= no solution[/tex]
Expand 7x+14-2(x+4)
Answer:
7x+14-2x-8 simplify and get 5x+6
Step-by-step explanation:
Distributive Property
-2(x+4)
-2x-8
Add together and combine like terms.
7x+14-2x-8
5x+6
Step-by-step explanation:
7x + 14 - 2 ( x+ 4)
7x + 14 - 2x + 8
7x - 2x + 14+8
5x+22 answer
find the coordinates of F' after reflection across the line
x = -1 and then across the line
y = -1. Answer in form (a,b). Part 6a
=============================================================
Explanation:
Focus on point F only. Ignore the other points.
Point F is at (-5, -5).
The x coordinate of this point is x = -5
The horizontal distance from x = -5 to the reflection line x = -1 is 4 units. We move 4 units to the right going from x = -5 to x = -1. Move another 4 units to the right to land on x = 3
Point F = (-5, -5) reflects over x = -1 to land on point G = (3, -5) as shown in the diagram below.
Then going from point G to H has us move upward 4 units up to land on the purple line y = -1, then another 4 units up to finally arrive at point H = (3,3). This is also the location of F'.
Algebra help please!
Answer: I am very sorry, but I don't know the answer either
Write the following using algebraic notation, using the letter x for any unknown number: i think of a number,add two then multiply by three
Answer:
3(x + 2)
Step-by-step explanation:
i think of a number: x
add two: x + 2
then multiply by three: 3(x + 2)
Answer:
(x+2)3
Step-by-step explanation:
x is the number we thought of
so add the 2+the number we thought of which is;
x+2, then multiply by 3;
=(x+2)3
help! whats the value of x
Answer:
5
Step-by-step explanation:
[tex]\dfrac{x}{x-2}=\dfrac{2x+5}{2x-1}\\\\x(2x-1)=(x-2)(2x+5)\\\\2x^2-x=2x^2+x-10\\\\2x=10\\\\x=5[/tex]
Hope this helps!
Jenna bought 45 lbs of clay for her art projects. She used 13.8 lbs to make a sculpture, and 0.82 lbs for each mug. How many mugs did Jenna make if she had 21.36 lbs of clay left over?
Answer:
She made 12 mugs.
Step-by-step explanation:
Compare these three ratios using fractions.
3 to 2 5:6 8 to 12
Think about the steps you could take to compare the ratios using fractions.
The first step is to write the ratios as fractions.
The next step is to use a to rewrite the fractions.
Finally, compare the to help you order the ratios.
Answer:
he first step is to write the ratios as fractions.
The next step is to use a
✔ common denominator
to rewrite the fractions.
Finally, compare the
✔ numerators
to help you order the ratios.
Step-by-step explanation:
1. Common denominator
2. Numerators
the nearest integer of the square root of -105
Answer:
10
Step-by-step explanation:
Find the missing part. Use an improper fraction for your answer.
Answer:
[tex]x=\frac{15}{2}[/tex] [tex]z=\frac{35113}{2703}[/tex] [tex]a=\frac{15}{4}[/tex] [tex]y=\frac{35113}{5406}[/tex] [tex]b=\frac{45}{4}[/tex]
Step-by-step explanation:
To solve this, we will have to use multiple methods, including the pythagorean theorem and the 30 60 90 rule.
In the 30 60 90 rule, it is stated that the angle opposing the side with 30 degrees is represented by [tex]s[/tex], the angle opposing the side with 60 is [tex]s\sqrt{3}[/tex] and the angle opposing 90 degree angle is represented by [tex]2s[/tex]. Looking at the whole triangle, we can see the 30, 60 and 90 degrees, and the angle with 90 has an opposing side of 15, which means we have to use 15=2s to find the other sides. When dividing 15 by 2, you get 7.5, which is s. Now we know that the angle opposing 30 is 15/2, which is x. Now that we have "s", we can also solve for z, represented by the 60 degrees. Multiply 7.5 and [tex]\sqrt{3}[/tex] to get z=35113/2703.
Now we can solve for the smaller triangles. Since we have already found x, we can use the 30 60 90 method in this too. The x (15/2) is now represented by 2s. Therefore, solve for your new s by doing this: 15/2 = 2s. You should get your 30 degree angle answer (a) with this, which is 15/4. Now that we have to use pythagorean theorem, which is [tex]a^{2} + b^{2} = c^{2}[/tex] to solve for the remaining side (y) of the small triangle. You should get 35113/5406.
Finally we have the last side left: b. Since we have so many sides now, all we have to use is the pythagorean theorem again. Use [tex]b^2+y^2=z^2[/tex] and solve for b. You should get 45/4.
What are the six digit grid coordinates for spot elevation 210
write the equation of the line passing through the given point T (-6,2) and is parallel to the line
y=2/3x
Answer:
y = [tex]\frac{2}{3}[/tex] x + 6
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 )
y = [tex]\frac{2}{3}[/tex] x ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and c = 0
Parallel lines have equal slopes , thus
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 6, 2) into the partial equation
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = [tex]\frac{2}{3}[/tex] x + 6 ← equation of parallel line
what is the exponential regression equation that fits these data
Answer:
picture
Step-by-step explanation:
find the equation of the parabola with the vertex at (0,0) and the focus at (-1,0)
Answer:
Step-by-step explanation:
You have to know some basics of parabolas to get this far in your math class, so hopefully you do, and what I'm about to do and say is not new or surprising to you.
If you plot the center (0, 0) which is your h and k, and then plot the focus, you should know that, since the parabola wraps itself around the focus, this parabola opens to the left. There is a work form and a standard form for a left-opening parabola. The work form will be
[tex]x=-a(y-k)^2+h[/tex] and the standard form will be
[tex]-(y-k)^2=4p(x-h)[/tex]
We will figure out what we need and will fill in both of these forms.
In general, the value of p is a distance; namely, it is the distance from the center to either the focus or the directrix (which is the same for both since the focus and the directrix are the same distance from the center, one on either side of it). From this we can determine that, since the focus is one unit away from the center, p = 1. Now that we know p we can find |a|:
[tex]|a|=\frac{1}{4p}[/tex]
Since p = 1, then [tex]|a|=\frac{1}{4}[/tex]
Now we can write the work form:
[tex]x=-\frac{1}{4}(y-0)^2+0[/tex] which of course simplifies to
[tex]x=-\frac{1}{4}y^2[/tex]
And remember we have the p value for the standard form:
[tex]-(y-0)^2=4(1)(x-0)[/tex] which simplifies a bit to
[tex]-y^2=4x[/tex] and when we solve for x:
[tex]x=-\frac{1}{4}y^2[/tex] which is the exact same as the work form!!! Look at that! : )
What solid 3D object is produced by rotating the rectangle about line m?
Answer:
square
Step-by-step explanation:
Answer: A tube
Step-by-step explanation:
FInd the distance between the points (9,3) and (1,9)
Answer:
=10
Step-by-step explanation:
1: Add the numbers
2: Factor the numbers
3: Apply radical rule
Answer: =10
Hope this helps.
Answer:
10
Step-by-step explanation:
ok
A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?
Answer:
it would b 2 in half cups of powder
Which statement is true about the y-intercept of a quadratic function?
A.
A quadratic function can only have one y-intercept.
B.
A quadratic function can have up to two y-intercepts.
C.
The y-intercept is also called a zero of the function.
D.
The y-intercept is located at the point where the value of y is 0.
Reset
Next
Answer:
A.
Step-by-step explanation:
A quadratic function may only intercept the y-axis once. This is because the definition of a y-intercept tells us that it is the point where x = 0. If there are multiple points where x = 0, then the expression cannot be a function. As such, a quadratic function can only have one.
Choice B contradicts the previous statement.
Choice C is wrong because the x-intercept is the zero of the function. This is because at a given x-coordinate that touches the x-axis, the y-coordinate will be 'zero'.
Choice D is wrong because the y-intercept is where x = 0.
I hope this helps!
The factor tree for 3,025 is shown. A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right. What is the simplest form of StartRoot 3,025 EndRoot? 16 55 52(112) 52+(112)
Answer to your query is provided below in the image
In this exercise we have to have knowledge about divisibility in this way we find that:
[tex]3025 \ is \ 5^2(11)^2[/tex]
Knowing that divisibility is the ability of a number to decrease its value, we calculate that:
[tex]3025/5=605\\605/5=121\\121/11=11\\11/11=1\\=5^2(11^2)[/tex]
See more about prime factorizarion at brainly.com/question/369266
[64] {y}^{2} [+4y-3]
Answer:
(16y-3) (4y+1)
Step-by-step explanation:
using quadratic formula i.e.ay^2+by+c=0
64y^2+4y-3
64y^2+16y-12y-3
16y(4y+1)-3(4y+1)
(16y-3) (4y+1)
hope it help yuh...mark brianliest if my answer suit your question.
plsss! help me will mark brainlest!
Answer:
Two polygons are similar with factor k.
=> The ratio between the area of two polygons: r = k^2
=> Here, the area of polygon B is larger than polygon A: 5^2 = 25 times
Hope this helps!
:)
Answer:
Area of polygon B is larger than the area of Polygon A by 25 times.
Step-by-step explanation:
The simplest way of finding this would be to draw a rough image of polygon A and B.
Let's say you drew Polygon A and B as rectangles. Since the scale factor is 5, the dimensions of the sides of polygon B would be 5 times as that of the dimensions of polygon A.
if you label the dimensions of Polygon A as length 2cm and width as 1cm, its area would be 2 square centimetres.
now keeping the scale factor of 5 in mind, multiply the length and the width by 5. you will get the length of polygon B as 10cm and width as 5cm. the area of polygon B becomes 50 square centimetres.
once you have done this, you will realise that the area of polygon B is 25 times the area of polygon A.
Hope this helped:)
To change a recipe that serves 8 to make it serve 5, by what fraction would you multiply each ingredient?
Helpppp ASAP helpppp
Answer:
a)
side a is opposite, side b is adjacent, side c is hypotenuse
b)
side a is adjacent, side b is opposite, side c is hypotenuse
Step-by-step explanation:
Answer:
Hhhhhhh
Step-by-step explanation:
Huhhhhhgg
Hey can you help a fella out?
Answer: 44 inches
Step-by-step explanation:
find the coordinates of the vertices of a quadrilateral after reflection across the parallel lines; first across the x-axis and then across the line y= 1.
R(0,1), S(3,0), T(5,-4), Q(1,-3)
Answer:
R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)
Step-by-step explanation:
The first reflection gives you the transformation ...
(x, y) ⇒ (x, -y)
The second reflection gives you the transformation ...
(x, y) ⇒ (x, 2 -y)
Applying the second transformation to the result of the first gives the overall transformation ...
(x, y) ⇒ (x, 2 -(-y)) = (x, 2+y)
That is, the double reflection is equivalent to a translation upward of 2 units. So, we add 2 to each y-value:
R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)
Which function is graphed below?
Answer:
h(x)= sqrt 2-x
Step-by-step explanation:
pretty sure this is right
i’m so confused! i tried to watch a video on it but i don’t understand and we need to do work :(
the 9. is 7(y + 2)is 7+2 i think.
10. 8+4
11. 8+9
12. 5+12
13. 2+4
14. 6+7
15. 15-5
16. 5-3
17. 11-6
I rewrite I think if that is correct.
Byee
answer
Step-by-step explanation:
9) 7y+14
10) 32+4r
11) 8x+72
12) 12b+60
13) 8+4a
14) 42+7v
15) 15b-75
16) 15-3v
17) 66-6s
Originally the dimensions of a rectangle were 15cm by 20cm. When both dimensions were decreased by the same amount, the area of the rectangle is half the area of the original rectangle. Find the dimensions of the new rectangle.
Answer:
Step-by-step explanation:
We can write an equation to represent this problem.
(15 + w)(20 + w) = 1/2 (15)(20)
Foil out the left side of the equation.
300 + 35w + w^2 = 150
Subtract 150 from both sides.
w^2 + 35w + 150 (I rearranged it to be in the form that is most efficient)
Now solve for variable w using the quadratic equation (look up the formula if necessary)
[-35 +_ (square root of the value of 1225-600)] / 2
[-35 +_ (SqRt of 625)] /2
(-35 +_ 25) /2
= -30, -5
I just realized that it can't increase by a negative number, so I'm not really sure of the answer. Sorry, my bad. However, I feel that this may be of help to other people anyway, so I think I'll leave it up here. Apologies again.
Feel free to read through my reasoning behind my answer, and see if it gives you any ideas or inspiration for solving this problem.
