Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
Which of the following is an equivalent form of the
compound inequality -22 > -5x - 72 -3? (1 point)
Select one:
O a. -5x - 75 -22 and -5x - 72-3
O b. -5x - 7> -22 and -5x - 72-3
O c. -5x > -22 and -7 -3
O d. -5x - 7 < -22 and -5x - 75 -3
Step-by-step explanation:
_22greater than minus 2 x minus minus 72 minus 3
72 minus 22 minus 3greathan than 2x
49greatern than 2 x
The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 1 and one-fourth + one-half A number line going from negative 3 to 0 in increments of one-fourth. Negative 1 and three-fourths Negative 1 and one-half Negative three-fourths Negative one-half
Answer:
C. Negative three-fourths
Step-by-step explanation:
Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:
-1 1/4 + 1/2
Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:
-5/4 + 1/2
Taking the LCM of the expression
= (-5+2)/4
= -3/4
Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths
Answer:
-3/4
Step-by-step explanation:
-1 1/4 +1/2
-5/4 + 2/4
-3/4
What is the equation for a straight line that would allow you to predict the value of Y from a given value of X. That is, calculate the value of "a" and the value of "b" and then substitute the 2 values into the generic equation (Y = a + bX) for a straight line. (Hint: calculate "b" first)
Answer:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
Step-by-step explanation:
We have the following data:
X: 3,3,2,1,7
Y:6,7,8,9,5
We want to find an equationinf the following form:
[tex] y= bX +a[/tex]
[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]
Where:
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]
So we can find the sums like this:
[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]
[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]
[tex]\sum_{i=1}^n x^2_i =72[/tex]
[tex]\sum_{i=1}^n y^2_i =255[/tex]
[tex]\sum_{i=1}^n x_i y_i =99[/tex]
With these we can find the sums:
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]
And the slope would be:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
What decimal represents the shaded part in the picture?
Answer:
40/100 = 0.4
your welcome
how to do this question plz
Answer:
adult = £7 and child = £2
Step-by-step explanation:
let a represent adult ticket and c child ticket, then
2a + 3c = 20 → (1)
a + 4c = 15 → (2)
Multiply (2) by - 2 and add to (1) to eliminate a
- 2a - 8c = - 30 → (3)
Add (1) and (3) term by term
- 5c = - 10 ( divide both sides by - 5 )
c = 2
Substitute c = 2 into either of the 2 equations and solve for a
Substituting into (1)
2a + 3(2) = 20
2a + 6 = 20 ( subtract 6 from both sides )
2a = 14 ( divide both sides by 2 )
a = 7
Cost of adult ticket is £7 and child ticket is £2
You have a prepaid bus pass that has $10 on it. Every time you ride the bus it costs you 50 cents. Assume that you cannot put anymore money on the card after it is used. Create an equation for the situation above.
Answer:
y = 10 - 0.5x for 0 ≤ x ≤ 20
Step-by-step explanation:
Initial value = (0,10)
final value = (20,0)
Cost per trip = debit of 0.50 = slope
equation : y = 10 - 0.5x for 0 <= x <= 20
PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!
Answer:
120.7
Step-by-step explanation:
The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].
Using the formula I got 120.7(rounded).
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
We have,
To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:
Area = 2 * (1 + √2) * (Side Length)²
Plugging in the values:
Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²
Therefore,
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
Learn more about octagons here:
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The solution for the following system of linear equation 3m-2n=13 is (2,-1) true or false
Answer:
Not True
Step-by-step explanation:
>_<
[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]
What is the surface area of a sphere with a radius of 13 units?
A. 6767 units2
B. 10147 units
C. 8451 units2
D. 5077 units2
I hope this helps you
Sphere Surface Area Formula is
4.pi.r^2
4.pi.13^2
4.pi.169
676.pi
The surface area of the sphere with radius 13 units is S = 676π units²
What do you mean by a Sphere?A sphere is a three-dimensional geometrical object that is perfectly round in shape. A sphere is a fully spherical, three-dimensional geometrical object. Every point on its closed surface is equally spaced from the centre, which is the only point on the surface.The distance from the center to any point on the surface of the sphere is known as the radius of the sphere..
Surface Area of a Sphere = 4πr²
Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
They are used to represent many natural and man-made objects such as planets, basketballs, and molecules.
Let the data be ,
Let r = 13 units be the sphere's radius.
Let S be the sphere's surface area.
And , Surface Area of a Sphere = 4πr²
On simplifying , we get
S = 4π ( 13 )²
S = 4π ( 169 )
S = 676π units²
Thus, the sphere's surface area is S = 676 units2.
Click here to discover more about spherical.
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Find the value of y.
Hey everyone, can you please help me with this question? THANKS!
Answer:
6 granite, 3 marble, 14 sandstone, 1 slate
ratio of sandstone to marble
how many sandstone does she have .....14
how many marble does she have......3
so the ratio would be 14:3
Answer:
C. 14:3
Step-by-step explanation:
Dana has 14 pieces of sandstone.
Dana has 3 pieces of marble.
The ratio of pieces of sandstone to pieces of marble is 14:3.
The ratio cannot be simplified further.
Complete the table for different values of X in the polynomial expression -7x^2+32x+240. Then, determine the optimal price that the taco truck should sell it’s tacos for. Assume whole dollar amounts for the tacos.
Answer:
$6
Step-by-step explanation:
Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.
The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),
where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.
x is number of $1 increments above the initial price of $4. (x=0 means a price of $4, x=1 means a price of $5, etc.)
The revenue is -7x²+32x+240. The average number of tacos sold is the revenue divided by the price.
For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.
If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.
Each time x increases by 1, the number of tacos sold decreases by 7.
Continuing:
[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]
The optimal price is $6. At this price, the revenue is a maximum at $276.
Written Response! Please help!
Evelyn believes that if she flips a coin 480 times, it will land tails up exactly 240 times. What would you tell Evelyn about her prediction?
Based on Evelyn's response, it can be said that she predicts that there is a 50% chance of the coin landing on tails and a 50% chance of the coin landing on heads.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the coin lands on tails is half of the number of times the coin is tossed. This means she belives that there is an equal chance that the coin would land on either heads or tails.
To learn more about probability, please check: https://brainly.com/question/13234031
two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16
Answer:
-19
Step-by-step explanation:
-19 is the absolute value of 19
hope this helps
Answer:
sum = +13
Step-by-step explanation:
The possible factors of 48 are
{1,2,3,4,6,8,12,16,24,48}
Of these, the pair 3,16 gives a sum of 19 and a product of 48.
We are given that 16 (greater absolute value) is positive, so 3 is negative.
The sum of the two is therefore 16-3 = 13
A school contains 357 boys and 323 girls.
If a student is chosen at random, what is the probability that is a girl?
Correct your answer to 2 decimal places.
Answer:
19/40
Step-by-step explanation:
just divide the number of girls by the total number of students.
323/680 = 19/40 or 0.48
y = 5x + 2 3x = –y + 10 What is the solution to the system of equations
Answer:
x = 1 , y = 7
Step-by-step explanation:
Solve the following system:
{y = 5 x + 2 | (equation 1)
3 x = 10 - y | (equation 2)
Express the system in standard form:
{-(5 x) + y = 2 | (equation 1)
3 x + y = 10 | (equation 2)
Add 3/5 × (equation 1) to equation 2:
{-(5 x) + y = 2 | (equation 1)
0 x+(8 y)/5 = 56/5 | (equation 2)
Multiply equation 2 by 5/8:
{-(5 x) + y = 2 | (equation 1)
0 x+y = 7 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = -5 | (equation 1)
0 x+y = 7 | (equation 2)
Divide equation 1 by -5:
{x+0 y = 1 | (equation 1)
0 x+y = 7 | (equation 2)
Collect results:
Answer: {x = 1 , y = 7
Answer:
D) (1,7)
Step-by-step explanation:
just took the test
a right square pyramid has a slant height of 20 feet, and the length of a side of the base is 32 feet. what is the height, h, of the pyramid?
Answer:
The pyramid's height h = 12 ft
Step-by-step explanation:
Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).
The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.
then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:
[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]
Answer:
C.12ft
Step-by-step explanation:
for people on edmentum
Pqrs is a rhombus. Find x, y and z. Justify your finding.
Answer:
x = 4, y = 2√21, z = 10
Step-by-step explanation:
Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.
The population of Oregon is about 4,000,000 what is the order of magnitude of this number? A) 6 B) 4 C) 3 D) 7
Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
The width of a rectangle is 38 centimeters. The perimeter is at least 692 centimeters. Write an inequality that represents all possible values for the length of the rectangle. Then solve the inequality.
Answer:
See bolded / underlined / italicized below -
Step-by-step explanation:
This is a great question!
If x were the length of this rectangle, then we could conclude the following,
2( 38 ) + 2( x ) > 692,
As you can see there is a greater than sign present, as the perimeter is at least 692 centimeters. In this case the perimeter is given to be at least 692 centimeters, but can also be calculated through double the width and double the length together. And of course we are given the width to be 38 cm -
2( 38 ) + 2x > 692,
76 + 2x > 692,
2x > 616,
x > 308
Solution = Length should be at least 308 cm
( The attachment below is not drawn to scale )
please help i will give out brainliest
Answer:
6, 0, 10
b
Step-by-step explanation:
Please help i will give out brainliest
Answer:
A
Step-by-step explanation:
To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is
A
y = ([tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] ≠ [tex]\frac{9}{2}[/tex] ← not on line
B
y = (- 1)² = 1 ← lies on line
C
y = 4² = 16 ← lies on line
D
y = ([tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{4}[/tex] ← lies on line
in the function y+3=(1/3x)^2, what effect does the number 1/3 have on the graph, as compared to the graph of y=x^2
Answer:
I think the answer is it stretches the graph horizontally by a factor of 3.
Step-by-step explanation:
Answer: it stretches the graph horizontally by a factor of 3
Step-by-step explanation: I got it correct on a-pex
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .
Answer:
$850.7
Step-by-step explanation:
Penelope has $1459.75 in her account.
She pays different amount that are given above.
i.e.
=1459.75-200.25-359.45-125-299.35
=475.7
Then she deposit $375
Now,
=475.7+375
=850.7
So, She has $850.7 in her account after she pays her bills and makes deposits.
Answer:
$805.7 OwO
Step-by-step explanation:
HELP PLEASEEE ASAAAAPPPPPPPPPPPP I WILL GIVE BRAINLY TO THE FIRST ONE!!!!!!!!
Answer:
the total amount is £ 756.
hope it helps..
Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Answer:
$10.67
Step-by-step explanation:
Jennifer has a total amount of $80 to buy what she needs
1/5 of the money is spent on sandwich
= 1/5×80
= $16
The amount spent on sandwich is $16
1/6 of the money is spent on tickets to a museum
= 1/6×80
= 0.166×80
= $13.33
The amount spent on tickets is $13.33
1/2 of the money is spent on a book
= 1/2×80
= 0.5×80
= $40
The amount spent on a book is $40
Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend
= $80-$16+$13.33+$40
= $80-$69.33
= $10.67
Hence the amount of money left on Jennifer is $10.67
One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
Answer: 29
Step-by-step explanation:
need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX
Answer:
36PI
113.04
Step-by-step explanation:
4/3*PI*R^3=V
4/3*PI*27=V
36*PI=V
113.04
BRAINLIEST PLS
-ZYLYNN JADE
Answer:
113.10 (to the nearest hundredth)
Step-by-step explanation:
just google volume of a sphere
a group of girls bought 72 rainbow hairbands ,144 brown and black hairbands and 216 bright colored hairbands .what is the largest possible number of girls in the group
Answer:
72
Step-by-step explanation:
We are assuming that all girls in the group bought the same number of items.
Therefore, we need to find the highest common factor of 72, 144 and 216.
HCF
72 = 2 * 2 * 2 * 3 * 3
144 = 2 * 2 * 2 * 2 * 3 * 3
216 = 2 * 2 * 2 * 3 * 3 * 3
The product of the emboldened numbers is the highest common factor.
That is:
2 * 2 * 2 * 3 * 3 = 72
Therefore, the largest possible number of girls in the group is 72.