A cryptography expert is deciphering a computer code. To do this, the expert needs to
minimize the product of a positive rational number and a negative rational number, given
that the positive number is exactly 7 greater than the negative number. What final
product is the expert looking for?
What’s the answer?
Answers
9514 1404 393
Answer:
-49/4
Step-by-step explanation:
The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.
The product being sought is (7/2)(-7/2) = -49/4.
Answer: -49/4
Step-by-step explanation:
First set up two equations; a primary and a secondary equation.
Primary: P=xy
Secondary: x=7+y
Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.
Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2
Finally substitute y value into the secondary equation and solve for x:
x = 7 - 7/2
= 14/2 - 7/2
= 7/2
Multiply the two values together: -7/2 * 7/2 = -49/4
Related Questions
Pre-Test
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1
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10
The quotient of (x4 + 5x - 3x – 15) and a polynomial is (x3 - 3). What is the polynomial?
x? + 5x6 - 6x4 - 30x3 + 9x + 45
x-5
x + 5
x7 + 5x + 6x4 + 30x3 + 9x + 45
Answers
Answer:
x5
Step-by-step explanation:
Answer: C.
Step-by-step explanation:
EDGE 2023
20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!
Answers
Answer:
d i think
Step-by-step explanation:
What type of dilation occurs with a scale factor of 3/2?
Answers
Answer:
A figure is reflected in two intersecting lines that form an angle of 40°
50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Consider the two box plots below.
Which of the following statements is true?
A.
The median of box plot A is greater than the median of box plot B.
B.
The interquartile range of box plot A is greater than the interquartile range of box plot B.
C.
Both the box plots A and B have the same median.
D.
The median of box plot B is greater than the median of box plot A.
Answers
Answer:
D
Step-by-step explanation:
The answer gonna be D because the median of plot B is about 27 but in A it is 19
Answer:
D
Step-by-step explanation:
Find the value of x to the nearest tenth.
7.8
4.7
8.4
5.2
“No scam Links, if you send me a link K¡ll Y0URSELF PLS”
Answers
Answer:
this isn't an answer but i have to say that 'm laughing at the fact that your telling someone to kts
Step-by-step explanation:
solve y=f(x) for x then find the input when the output is 6
f(x)= 6x^2
Answers
x = 1
So to figure this out we can readjust the equation to make it easier to solve
[tex]f(x) = 6x^2[/tex] is equal to [tex]6x^2 = 6[/tex]
From here we can simplify to get our answer!
[tex](6 / 6)x^2 = (6 / 6)\\x^2 = 1\\x = \sqrt{1}\\x = 1[/tex]
Need help asappppp please
Answers
Answer:
It would be 1/4
Step-by-step explanation:
Solve: 18^(x^(2)+4x+4)=18^(9x+18)
x = -2
x = 7
x = –2 and x = 7
no solution
Answers
Is this the problem?
[tex]18x^{2+4+4} = 18^{9x+18}[/tex]
Answer
The Answer is C
x=-2 and x=7
Pleasssssssssssssssssssssssse help ASAP
Answers
Answer:
Yellow = 18 spools of ribbon
Blue = 15 spools of ribbon
Bobby will have 3 more spools of yellow ribbon.
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she has to buy 3 pounds of onions?
Answers
Question 12 Multiple Choice Worth 1 points)
(05.01)
Choose the equation below that represents the line passing through the point (2, -4) with a slope of
rezi
Answers
Answer:
y - 3x = -10
Step-by-step explanation:
Complete question
Choose the equation below that represents the line passing through the point (2, -4) with a slope of 3
The standard equation of a line in point-slope form is y-y0 = m(x-x0)
Given
x0 = 2
y0 = -4
alope m = 3
Substitute
y - (-4) = 3(x - 2)
y + 4 = 3(x - 2)
y + 4 = 3x - 6
y - 3x = -6 - 4
y - 3x = -10
Hence the required equation is y - 3x = -10
find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly
Answers
Answer:
The amount is $1346.86 and the interest is $346.86.
Step-by-step explanation:
To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]
So, P = $1000, r = 6$, n = 4 and B = 5 years
After plugging it in you get,
A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵
A = 1000 x 1.015^20
A = 1000 x 1.346855
A = 1346.86
To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:
1346.86 = 1000 + I
I = 1346.86 - 1000
I = 346.86
Then you're finished! Hope this helped!
Brainliest would be appreciated! :)
Which of the following is an equivalent expression to x2 + 6x +11?
Answers
Answer:
Step-by-step explanation:
(x + 3)^2 + 2
= [tex]x^2+6x+9+2 = x^2+6x+11[/tex]
what is:
k/5 + 2.5 = .5?
Answers
Answer:
k = -10
Step-by-step explanation:
k/5 + 2.5 = 0.5
k/5 = -2
k = -10
-10 / 5 = -2
-2 plus 2.5 = .5
question uploaded above. please help me
Answers
Answer:
(2/3) ^-5
Step-by-step explanation:
yes
A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purple
skittles. If one skittle is drawn at random, what is the
P( purple | color name with six letters )
Answers
===========================================================
Explanation:
The vertical bar is a shorthand way of saying "Given".
Writing P(A | B) means "probability of A given B"
In this case, we are given that "color name with six letters", so we are 100% certain that whatever was picked has six letters in the color name. That rules out green (5 letters) and red (3 letters). We'll ignore these colors entirely.
Instead we focus on yellow, orange, and purple.
Add up the frequencies for these colors to get: 18 yellow + 10 orange + 14 purple = 42 total
Of that total, there are 14 purple, so....
14/42 = (1*14)/(3*14) = 1/3
represents the probability we're after.
There's a 1 in 3 chance of getting a purple skittle if we are told, or we know 100%, that whatever color we picked has 6 letters in the name.
Side note: 1/3 = 0.333 = 33.3% approximately.
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answers
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
The negative integers greater than or equal to -12
Answers
-12
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
And so on..................
I like healthy foods that have a high percentage of my daily vitamins. I bought a bag of apples. There are still six apples left That's 75% of the apples. How many apples did I have to begin with?
Answers
Answer:
8 apples to begin with.
Step-by-step explanation:
First, we know that 75% is 3/4 of 100%
If 3/4 = 6 apples then we need to divide each side by three to get 1/4.
So 1/4 = 2
Now, we multiply each side by 4 to get 4/4
So 4/4(100%) = 8
8 apples is the answer
Find the surface area of the pyramid. The triangular base has a height of 8 units and a base of 12 units. What is the base area? What is the lateral area? What is the surface area?
Answers
Answer:
Base area is 48 lateral is 221.6 and surface area is 269.6
Step-by-step explanation:
Answer:
Base area is 48 lateral is 221.6 and surface area is 269.6
Step-by-step explanation:
Is 118.5 bigger than 79?
Answers
Answer:
yes
Step-by-step explanation:
You can verify this by subtracting
118.5 - 79 = 39.5
You got a positive number as a result
118.5 is 39.5 more than 79
What is the answer I can’t seem to figure out this one
Answers
Answer:
64x^2 + 40x + 25.
Step-by-step explanation:
Antibiotics in Infancy
Exercise 2.19 describes a Canadian longitudinal study that examines whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included 616 children and found that 438 of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than 70% of Canadian children receive antibiotics during the first year of life.
(a) State the null and alternative hypotheses
(b) Calculate the z-statistic.
(c) Find the p-value.
(d) Make a generic conclusion about the null hypothesis, using α = 0.05
(e) Make a conclusion in context.
Answers
Answer:
e)The information from the sample does not give enough information to support that more than 70% of Canadian children receive antibiotics during the first year of life
Step-by-step explanation:
The proportion we will use for the test is p = 70 %
From a random sample we got
n = 616
x = 438 then p₁ = 438/616 p₁ = 0,71 p₁ = 71 %
Then q₁ = 1 - p₁ q₁ = 1 - 0,71 q₁ = 0,29 q₁ = 29 %
a) Hypothesis test:
Null hypothesis H₀ p₁ = p
Alternative hypothesis Hₐ p₁ > p >70 %
CI = 95 % significance level α = 5 % α = 0,05
z(c) for α = 0,05 from z-table is z(c) = 1,64
b) To calculate z(s) = ( p₁ - p ) / √ p₁*q₁ / n
z(s) = ( 0,71 - 0,70 )/ √ 0,71*0,29/616
z(s) = 0,01 /0,01828
z(s) = 0,547 ≈ 0,55
c) p-value for z(s) is from z-table p-value ≈ 0,7088
d) p-value > 0,05 then we accept H₀ we don´t have enough evidence to reject H₀
e)The information from the sample does not give enough information to support that more than 70% of Canadian children receive antibiotics during the first year of life
ahhh helppp i’m almost done with this
Answers
Answer:41 m
Step-by-step explanation:
Lets use the Pythagoras thermos to solve
40^2+9^2=c^2
1600+81=c^2
1681=c^2
41=c
The value of the hypotenuse is 41
I see you already attempted this question and got it right, Good job!
Answer:
41
Step-by-step explanation:
Use the Pythagorean theorem to sovle this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve for the unknown,
[tex](9)^2 + (40)^2 = c^2\\\\81 + 1600 = c^2\\\\1681 = c^2\\\\41 = c[/tex]
what type of triangle is this
Answers
Answer:
acute scalene triangles
Step-by-step explanation:
If a rectangle has an area of 48 cm², what would be the area of a similar rectangle if
the dimensions are doubled?
A) 2304 cm^2
B) 192 cm^2
C)96 cm^2
D)216 cm^2
Answers
B)192cm^2
Step by step exploration
Help pls
••••••••••••••••
Answers
I'm so late sksksks
Answer:
1395 ft²
Step-by-step explanation:
The total area of the green surfaces
= 15² × 5
= 1125 ft²
The area of each triangular surfaces
= 15 × 9 ÷ 2
= 67.5 ft²
The total area of triangular surfaces
= 67.5 × 4
= 270 ft²
The total area of the figure
= 1125 + 270
= 1395 ft²
3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answers
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to show 1 foot of the sculpture?
Answers
Answer:
Step-by-step explanation:
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.
To Find :
How many centimetres in the image are used to show 1 foot of the sculpture.
Solution :
Ratio of enlargement is :
Let, enlarged size of 1 foot required x cm of image.
Therefore, 1.6 cm of image is required.
Hence, this is the required solution.
If P = (3, 1) and Q = (-3, -7), find The distance PO
Answers
Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units