Answer:
x^2 + 16x - 15 = 0.
Step-by-step explanation:
x^2 + 16x – 11 = 4 Subtract 4 from both sides:
x^2 + 16x - 15 = 0 is one equation with the same roots.
Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:
3x^2 + 48x - 45 = 0.
An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above
Answer:
[tex]C = 1000S + 500B[/tex]
Step-by-step explanation:
Given
[tex]S = Banana\ Splits[/tex]
[tex]B=Bacon\ Rolls[/tex]
Reading through the question, we have:
Number of calories per serving:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Let
[tex]x = Cholesterol[/tex]
[tex]y =Sugar[/tex]
So, we have:
Each serving of S
[tex]x \to 1S[/tex]
[tex]y \to 3S[/tex]
Each serving of B
[tex]x \to 4B[/tex]
[tex]y \to 1B[/tex]
Recommendation
[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol
[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar
So, the constraints are:
[tex]S + 4B \le 10[/tex]
[tex]3S + B \ge 2[/tex]
[tex]3S + B \le 9[/tex]
Recall that the calories per serving is:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Hence, the objective function is:
[tex]C = 1000S + 500B[/tex]
A teacher is making worksheets for the next unit. He can create 3 worksheets in an hour and has 10 worksheets already created from the previous year. Which of the following lengths of time worked will not be long enough for the teacher to have created 27 worksheets. * Check All That Are True*
6 hours, 10 hours, 8 hours, 2 hours, 4 hours
Answer:
2 hours, 4 hours
Step-by-step explanation:
So lets go over what we know.
There are already 10 worksheets created.
Every 1 hour 3 more are made.
27 worksheets need to be made.
Ok, the first thing we can do is subtract the amount of worksheets needed by the amount we laready have:
27-10
=
17
Now, lets divide the amount of worksheets we still need, by how many we make each hour:
17/3
=
Well, 3 goes into 15, 5 times. Then 2 is left. So we know it takes 5 2/3 hours to create all 27 worksheets.
Looking at the answers, 6 hours, 8 hours, and 10 hours would work. However 2 hours and 4 hours would not work.
Hope this helps! ;)
The amount of sprinkles needed for a cookie recipe is proportional to the number of
cookies. A batch of 26 cookies calls for 2 tablespoons of sprinkles. What is the
constant of proportionality between the number of cookies and the number of
tablespoons of sprinkles?
Can someone please help me? And explain and show work.?
Answer:
C. 13
Step-by-step explanation:
26 ÷ 2 = 13
Let me know if that helped!
Thanks for letting me answer!
There are 58 people in a store. 10 of them are employees. 6 come out, 4 come in. 16 leave, and 7 enter
Answer:
47 people
Explanation:
58 - 6 + 4 -16 + 7 = 47
8. Find the area of the triangle. (1 point) 16 ft 62 ft Not drawn to scale.
Answer:
Hello! Answer: 496
Step-by-step explanation:
When finding area for triangles we have to do base x height then divide by 2 so
62 x 16 = 992
992 ÷ 2 = 496
So 496 is our answer!
Answer:
A - 496
Step-by-step explanation:
formula for area of a triangle
[tex]a = \frac{bh}{2} [/tex]
where b = base length and h = height
The triangle shown has a base length of 62 ft and a height of 16 ft
That being said we plug in the given values into the formula
[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]
Hence the area of the triangle is 496 square feet
If you have a triangle and all its angles equal 60 degrees could you say its equilateral?
Answer:
yes it is an equilateral triangle
Pls explain so I can show my work!!
Answer:
He spends 20 percent of his free time reading so I think its 1 hour and 48 minutes.
What is the potential energy of a 500kg elevator that is 4.0m high from the floor?
Answer:
19,600 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
We have
PE = 500 × 9.8 × 4
We have the final answer as
19,600 JHope this helps you
A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds
Answer:
1.75
Step-by-step explanation:
h(t) = -16t² + 56t
h'(t) = -32t + 56
To find time at max height equate h' to 0
0 = -32t + 56
t = 56/32 = 1.75 s
It takes 1.75 s to reach max highest point
Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct
Answer:
B. The amount of water originally in Wilson's can was 2.5 gallons.
In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°
Answer:
x = 19
Step-by-step explanation:
The lower base angles in an isosceles trapezoid are congruent , then
5x - 20 = 2x + 37 ( subtract 2x from both sides )
3x - 20 = 37 ( add 20 to both sides )
3x = 57 ( divide both sides by 3 )
x = 19
20 people each bring 3 food dishes to an awards banquet. The dishes are shared equally by 180 people at the banquet. How many people share 1 food dish?
Answer:
3 people
Step-by-step explanation:
If 20 people each bring 3 food dishes to an awards banquet, the total amount of food brought will be (20 * 3) = 60foods
If the dishes are shared equally by 180 people at the banquet, then;
60foods = 180 people
1 food = x
Cross multiply
60* x = 180
60x = 180
x =180/60
x = 3
Hence 3 people will share 1 dish
Amy plotted these four points on a coordinate grid.
• Point A: (-2,-9)
•Point B: (-2,9)
•Point C: (2,-9)
•Point D: (2,9)
Which point is the first quadrant?
Answer:
Point D: (2, 9)
Step-by-step explanation:
The first quadrant includes points that have a positive x coordinate and a positive y coordinate. The only point that meets these conditions is point D, (2, 9).
Please help me please I really need help please
Answer:
See attached
Step-by-step explanation:
Solution is in the attached picture
The radius of a circle is 7 cm . Find its circumference in terms of pi?
The radius of a circle is 7 cm. Find its circumference in terms of π.
Solution:-Radius (r) of a circle = 7 cm. (Given)
We know,
[tex] \dag [/tex] Circumference of a circle is 2πr.
So, its circumference is 2 × π × 7
Its circumference is 14π cm.
Its circumference in terms of π is 14π cm. [Answer]Answer:
Radius (r) of a circle = 7 cm. (Given)
We know,
Circumference of a circle is 2πr.
So, its circumference is 2 × π × 7
Its circumference is 14π cm.
Its circumference in terms of π is 14π cm.
Square tiles measuring 4 inch on each side will be used to tile a 1-foot by 1-foot area. How many of these tiles are needed?
Answer:9
Step-by-step explanation:
4 inches fits into 12 inches three times. Three rows multiplied by three columns equals 12.
Hope that helps!
A jacket used to cost $54. After a 40% discount, what is the new cost of the jacket?
Im pretty sure its $32.4
Step-by-step explanation:
MY LAST POINTS!!!!!! first to answer correctly gets brainliest.
Answer:
1) vertical
2) adjacent
Step-by-step explanation:
so, vertical is when two different numbers are congruent and adjacent is numbers next to each other but are no congruent
Help plz will mark brainliest
Answer: it is 2 ft
Step-by-step explanation:
because you have to do 12/3 and that equals 4 and then you have to do 4/2 and that equals 2
What is the area of a
circle that has a radius of 4
inches? (Use 3.14 for pi.)
HELP ASAP
Answer:A≈50.27in²
Step-by-step explanation:
DID I GET THIS RIGHT PLEASE HELP ITS DUE IN 10 MINUTES ( DONT GIVE ME A LINK PLEASE)
Answer:
yes that is
Step-by-step explanation:
Can someone help me please
Answer:
6*6+16*20
=320+36
=356 so it's C
Answer:
C: 356 sq ft.
Step-by-step explanation:
Imagine a rectangle filling the empty space in the polygon.
Using this, we get 440 sq ft.
Now subtract the area that you filled in.
440-(14x6)=A
440-84=A
356=A
someone help me please!!
Answer:
346
Step-by-step explanation:
(40*22)-(34*16)
=880-544
=346
Answer:336
Step-by-step explanation:
22x40=880 total sq ft
16x34=544 inner sq ft
880-544=336
What is the area of the shaded region?
Answer:
12
Step-by-step explanation:
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The sum of an integer and its _____ inverse is 0.
Pls help meee。I’m so confused TwT
Given the function
y
=
(
−
6
+
x
−
6
x
2
)
(
−
9
−
9
x
)
,
y=(−6+x−6x
2
)(−9−9x), find
d
y
d
x
dx
dy
in any form.
Answer:
y=6+2x
Step-by-step explanation:
Which set of numbers contains only rational numbers?
Answer:
A because of the Earth or D because of you
The area of a rectangular park is 300 sq.M. If the length of the park is 25 m, find the breadth. *
Answer:
Breadth = 12 m
Step-by-step explanation:
Area of a rectangle is given by the formula,
Area = Length × Width
Value of area and length of the rectangular park has been given in this question.
Therefore, by substituting these values in the formula,
300 = 25 × Width
Width = [tex]\frac{300}{25}[/tex]
= 12 m
Therefore, width or breadth of the rectangular park will be 12 m.
Una parcela de forma cuadradra mide 1089km2 de superficie cuantos metros mide el lado de la parcela
Respuesta:
3.3 × 10⁴ m
Explicación paso a paso:
Paso 1: Información provista
Superficie de la parcela cuadrada (S): 1089 km²
Paso 2: Determinar la longitud del lado (l) de la parcela
Podemos determinar la superficie de un cuadrado usando la siguiente fórmula.
S = l²
l = √S = √1089 km² = 33 km
Paso 3: Convertir "l" a metros
Vamos a usar el factor de conversión 1 km = 10³ m.
33 km × 10³ m/1 km = 3.3 × 10⁴ m