Find the minimum value of the parabola y = x2 + 4x.

Answers

Answer 1

Answer:

(-2,-4)

Step-by-step explanation:


Related Questions

when is a event likely, not likely, unlikely in probolility

i need help

Answers

Answer:

umm is there something else we need to see

Question 16 (Essay Worth 7 points)

Verify the identity.

tan (x + π/2) = -cot x

Answers

Step-by-step explanation:

We know that tan=sin/cos, so tan(x+π/2)=

[tex]\frac{sin(x+pi/2)}{cos(x+pi/2)}[/tex]

Then, we know that sin(u+v)=sin(u)cos(v)+cos(u)sin(v),

so our equation is then

[tex]\frac{sin(x)cos(\pi/2)+cos(x)sin(\pi/2)}{cos(x+\pi/2)} = \frac{cos(x)}{cos(x+\pi/2) }[/tex]

Then, cos(u+v)=cos(u)cos(v)-sin(u)sin(v), so our expression is then

[tex]\frac{cos(x)}{cos(x)cos(\pi/2)-sin(x)sin(\pi/2)} = \frac{cos(x)}{-sin(x)} = -cot(x)[/tex]

Find the average of 23 and −7.

Answers

Answer:

8

Step-by-step explanation:

23 + (-7) =16

16/2 = 8

Answer: 8

Step-by-step explanation:

23+(-7) = 16/2 = 8

Sally completely solves at least 7 questions per hour and at most 10 questions per hours. Based on this information, what is a possible number of questions that Sally can completely solve in 5 hours?

Answers

Answer:

Minimum-35

Maximum-50

Step-by-step explanation:

Sally can solve 35 questions in 5 hours and at most 70 question in 5 hours.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that,

Minimum number of questions sally can solve in 1 hour = 7

Maximum number of questions sally can solve in 1 hour = 10

Now minimum of of question sally can solve in 5 hour,

= 5x7

= 35 questions

And Maximum number of question she can solve in 5 hour,

= 5x10

= 50 questions.

Hence,

In 5 hours she can solve,

Minimum 35 questions

Maximum 50 questions.

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If it takes two skilled workers 2 weeks to
remodel two bathrooms, how long will it take
10 skilled workers to remodel 10 bathrooms?

Answers

I would say 10 weeks. 2 skilled workers times 5 gives 10 skilled workers. 2 weeks times 5 gives 10 weeks. 2 bathrooms times 5 gives 10 bathrooms. So the answer I would say is 10 weeks.

Prove the triangles are congruent

Answers

Answer:

1: two sides and angle of one triangle are congruent.

Step-by-step explanation:

The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.

Hope this helps

Which situation gives you the fewest number of possible outcomes?
A.
You choose 2 beads from a jar of 9 beads.
B.
You choose 4 cards out of 8 cards.
C.
You choose 5 people out of 6 people.
D.
You choose 4 socks out of 32 socks in a drawer.

Answers

Answer:

c you choose 5 out of 6 people

What is the range of the function y=e* + 1 graphed below?

Answers

[tex]$f: \mathbb{R} \rightarrow \mathbb{R}, f(x) = e^{x} + 1$[/tex]

[tex]\text{Range}(f) = \{y \in \mathbb{R} \vert x \in \mathbb{R}, f(x) = y\}[/tex]

[tex]\text{Suppose $f(x) = a$}\\e^{x} + 1 = a \implies e^{x} = a - 1 \implies x = \ln(a-1)\\[/tex]

[tex]\text{For the logarithm to be real, it must be true that $a - 1 > 0$}\\\text{But then we have that } a > 1. \implies \boxed{\text{Range}(f) = (1, \infty)}[/tex]

Answer:

The answer is D. y > 1 on edge

Given that the y intercept is 3 and the slope is -2/3 what is the equation of the line?

a) y=2/3x+3 b) y= -2/3+3

c) y=3x-2/3 d) y=3x+2/3

Answers

Answer:

B y=-2/3x+3

Step-by-step explanation:

y=mx+b

y=-2/3x+3

Answer:

Step-by-step explanation: y= -2/3x+3

what is 40/32 in its simplest form

Answers

1 1/4
hope this helps

Answer:

1 and 1/4

Step-by-step explanation:

40/32 divided by 8 = 5/4

5 divided by 4 = 1 R1

5/4 = 1 1/4

What is the solution to the inequality?

-2x - 4 ≤ 11

Thank you!

Answers

Answer:

x ≥ -15/2

Step-by-step explanation:

-2x - 4 ≤ 11

Add 4 to each side

-2x - 4+4 ≤ 11+4

-2x   ≤ 15

Divide each side by -2, remembering to flip the inequality since we are dividing by a negative

-2x/-2 ≥ 15/-2

x ≥ -15/2

Answer:

x≤-7.5

Step-by-step explanation:

-2x - 4 ≤ 11

Add 4 to both sides

-2x≤15/-2

Divide

x≤-7.5

Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , pentru care a platit 360 de lei . Determinati pretul unui kg de portocale.

am nevoie urgent de raspuns .

Answers

Answer:

One kilogram of oranges cost $3.

Step-by-step explanation:

The problem states

1 kilogram of bananas costs as much as 2 kilograms of oranges. ([tex]1 \ kg \ bananas = 2 \ kg \ oranges[/tex])30 kilograms of oranges plues 45 kilograms of bananas cost $360.

Let's call [tex]x[/tex] one kilogram bananas and [tex]y[/tex] one kilogram oranges. The cost is related by

[tex]x=2y[/tex]

Also, we know by given

[tex]45x+30y=360[/tex]

Replacing the first equation into the second one, we have

[tex]45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3[/tex]

Then, we find the other value

[tex]x=2(3)=6[/tex]

Therefore, one kilogram of oranges cost $3.

The measure of one acute angle in this right triangle is 30°. What is the measure of the
other acute angle?
300
OA) 30°
OB) 60°
OC) 70°
OD) 90°

Answers

Answer:

60°

..................

Answer:

Dear mate your answer is 60

PLZ HELP

On a coordinate plane, triangle J K L has points (0, negative 1), (negative 2, 1), and (3, 3).

Reflect the triangle over the y-axis and find the coordinate of the image of point K.



K’(2, 1)

K’(–2, 1)

K’(–2, –1)

K’(2, –1)

Answers

Answer:

K'(2, 1 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

K(- 2, 1 ) → K'(2, 1 )

A - Trust me, its A

The people above are wrong

Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies that costs $4.25.Write and solve an inequality that models this situation and could be used to determine the maximum number of bags of nuts, n, Annie can buy. (Show all your work)

Answers

Answer: She can buy up to 2 bags of nuts

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).

5.70n +4.25 ≤18

Solving for x:

5.70n ≤18 -4.25

5.70n ≤13.75

n ≤13.75/5.70

n ≤2.41  

n ≤2 (rounded)

She can buy up to 2 bags of nuts

Answer:2

Step-by-step explanation:

EASY 30 POINTS! The population of the town of White Plains has decreased by 2.2 percent per year since 1970. In 1995, the town had a population of approximately 1,200 people. Which of the following functions represents the town’s population, P, y years since 1995?

P(y) = 1,200(−2.2)y
P(y) = 1,200(0.978)y
P(y) = 1,200(−2.2)y − 25
P(y) = 1,200(0.978)y − 25

GIVING BRANLIEST

Answers

Answer:

B

Step-by-step explanation:

Two​ fire-lookout stations are 100 miles ​apart, with station A directly south of station B. Both stations spot a fire. The bearing of the fire from station A is Upper N 55 degrees Upper EN55°E and the bearing of the fire from station B is Upper S 60 degrees E.S60°E. How​ far, to the nearest tenth of a​ mile, is the fire from each lookout​ station?

Answers

Answer:

The distance from station A to the fire is 90.4 miles

The distance from station B to the fire is 95.6 miles

Step-by-step explanation:

Given that 2 fire stations are 100 miles apart.

Station A = N 55°E

Station B = S 60°E

To find the distance of the fire from each station, let's use the law of sines,

From the diagram, our values are:

A = 55°

B =  60°

Let's take C as point of fire.

Since the total sum of angle in a triangle is 180,

A+B+C=180

C = 180 - A - B

C = 180 - 55 - 60 = 65°

For station A.

[tex] \frac{Sin A}{a} = \frac{Sin C}{c} [/tex]

[tex]\frac{Sin55}{a} = \frac{Sin65}{100}[/tex]

[tex]a = \frac{Sin55 * 100}{Sin65}[/tex]

[tex]a = 90.38[/tex]

The distance from station A to the fire is 90.4 miles

For station B:

[tex] \frac{Sin B}{b} = \frac{Sin C}{c} [/tex]

[tex]\frac{Sin60}{b} = \frac{Sin65}{100}[/tex]

Solving for b, we have:

[tex]a = \frac{Sin60 * 100}{Sin65}[/tex]

[tex]a = 95.6[/tex]

The distance from station B to the fire is 95.6 miles

Name a quadrilateral with exactly two pairs of congruent angles.

Answers

parallogram it has exactly 2 pairs of congruent angles

Answer:

Parallelogram.

Step-by-step explanation:

Of the following approximate conversions of Fahrenheit into Celsius, which is most accurate?

a. 14°F Almost-equals -10.8°C
b. 78°F Almost-equals 25.3°C
c. 106°F Almost-equals 41.7°C
d. 7°F Almost-equals -12.9°C
NVM it's B

Answers

Answer:

its B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Help me ASAP‼️! A walkway surrounds a rectangular garden. The width of the garden is 9 feet, and the length is 12 feet. The width of the walkway around the garden is the same on every side . Write an expression that represents the total area of the garden and walkway.

_____ q^2+____q+_____

Answers

Answer:

total area of the garden and walkway = 2a² + 21a + 54

Step-by-step explanation:

The walkway surrounds the rectangular garden. The width of the garden is 9 ft and the length is 12 ft. Since the width of the walkway around the garden is the same on every side let us use a to represent the width around the garden.

The garden is rectangular and the width of the walkway around the garden is uniform. The width added on both end of the width of the rectangle will be 2a while the width added to the both length of the rectangle will be 2a also.

Therefore

total area of the garden and walkway = length × width

length of garden and the walkway = 2a + 12

width of garden and the walkway = 2a + 9

total area of the garden and walkway = (2a + 12)(2a + 9)

total area of the garden and walkway = 4a² + 18a + 24a + 108

total area of the garden and walkway = 4a² + 42a + 108

divide through by 2

total area of the garden and walkway = 2a² + 21a + 54

An orange has a volume of about 113.1 cm3. What is the area of the cross section when it is cut in half? Round to the nearest tenth.

Answers

Answer:

r = 1.0 cm to the nearest tenth

Step-by-step explanation:

The formula for the area of a circle of radius r is A = (pi)r².  So, from the given information we need to determine the radius of the orange.  The volume formula is V = (4/3)(pi)r³ and in this case V = 113.1cm³.  Thuis,

(4/3)(pi)r³ = 113.1cm³

                                                3                              3(113.1 cm³)

Multiplying both sides by ------------ , we get r³ = --------------------- , and so

                                              4(pi)                                12.57

r³ = 339.3 cm³ / 12.57 ≈ 0.997, so that r ≈ ∛(0.997 cm³) ≈ 0.9999, or

r = 1.0 cm to the nearest tenth.

-12 + 18. = 70

complete the square

Answers

-12 + 18 = 70 - 64 or(-12+18)+(6*12)-2

Which expression is equivalent to
5^10 x 5^5?

a.5^2
b.5^5
c.5^15
d.5^50

Answers

I would like to say D I believe

The expression into an equivalent form [tex]5^{10} \times 5^5[/tex] is  [tex]5^{15}[/tex].

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need the expression into an equivalent form.

This expression could also be given by;

[tex]5^{10} \times 5^5[/tex]

Now plug the values then we get;

[tex]5^{10} \times 5^5\\\\= 5^{10+ 5} \\\\= 5^{15}[/tex]

Hence, the expression into an equivalent form [tex]5^{10} \times 5^5[/tex] would be; [tex]5^{15}[/tex]

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Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures  feet by 6 feet.



How much cardboard does he need to paint?



If one bottle of paint covers an a area of 40 square feet, how many bottles of paint does Andre need for his backdrop

Answers

Answer:

a. 85.5 sq ft

b. 3 bottles

Step-by-step explanation:

a. The cardboard is rectangular in shape. How much he needs to paint is the same as the cardboard that he needs to paint.

The area of a rectangle is given as:

A = L * B

where L = length and B = breadth

Therefore, the area of the cardboard having dimensions 14 1/4 feet by 6 feet is:

A = 14 1/4 * 6

A = 57 / 4 * 6 = 85.5 sq feet

He needs to paint 85.5 sq feet of the cardboard.

b. On bottle of paint covers 40 sq feet. The number of bottles he will need for his backdrop will be the area he needs to paint divided by the amount of paint that can cover 40 sq feet:

85.5 / 40 =  2.14

Since the number of bottles he will need is a whole number and its greater than 2, then it must be 3.

To paint the entire cardboard, he must have 3 bottles of paint.

Answer:

75 feet

Step-by-step explanation:

Solve the system of equations using substitution.
y = 5x + 5 x = - 3

A.(- 20, - 3)
B.(- 10, - 3)
C.(- 3, - 10)
D.(- 3, - 20)

Answers

Answer:

C. (-3, -10)

Step-by-step explanation:

First label the 2 equations.

y=5x +5 -----(1)

x= -3 -----(2)

subst. (2) into (1):

y= 5(-3) +5

y= -15 +5 (expand)

y= -10 (simplify)

Thus, the answer is (-3, -10).

Answer:

THe answer is C

Step-by-step explanation:A

As seen by the last answer when we substitute the variable we can get (-3,-10)

x=-3------(2)

y=5x+5-----(1)

y=5(-3)+5

y=-15+5

y=-10

so (-3,-10) is the correct answer

The prism shown has a volume of 798 cm3.
a l of 9.5 and a width of 8


What is the height of the prism?
8.6 cm
10.5 cm
17.5 cm
45.6 cm

Answers

Answer:

10.5 cm

Step-by-step explanation:

Volume = base area × height

798 = (9.5 × 8) × height

height = 798/76

height = 10.5

Answer:

The answer is 10.5

Step-by-step explanation:

I got it correct on edge 2021

The diameter of a circle is 4 in. Find its area in terms of π\pi π.

Answers

The formula for area of a circle is r² x π.

Since we know the diameter, we can firstly divide by 2 to find our radius.

4/2 = 2

Now that we know the radius, we can substitute it in and square the value.

(2)² x π

(4) x π

Since we're finding the area in terms of pi, we won't multiply by pi, giving us the answer of 4π.

Therefore, the area of the circle is equal to 4π.

Hope this helped! :)

Answer:

If the diameter of the circle is 4 in. then the radius of the circle is 2

the formula for the circle area is

A = πr^2

r = radius

A = π * 2 * 2

A = 4π

A = 12.57 if solved

Step-by-step explanation:

Solve these equations. If possible, reduce your answers.

3/4x=−1 1/4

Answers

Answer:

-1 2/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

I NEED ANSWER ASAP!

Chiara has 26 coins that equal 34 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Chiara have? Use the table to guess and check.


1. 20 pennies and 6 nickels
2. 21 pennies and 5 nickels
3. 23 pennies and 3 nickels
4. 24 pennies and 2 nickels


Answers

Answer:

#4

Step-by-step explanation:

p+n=26

.01p+.05n=.34

graph it out by desmos...?

you'll get the coordinates (24,2)

The number of pennies and nickels chiara has is 24 pennies and 2 nickels; the correct option is 4

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

Let;

p = the number of penny coins

n = the number of nickel coins

Remember;

1 penny = $0.01

1 nickel = $0.05

Chiara has 26 coins that equal 34 cents

so, p + n = 26

isolate the variable x;

p = 26 - n...equation(1)

34 cents=$0.34

0.01p + 0.05n = 0.34

Multiply by 100 both sides;

1p + 5n =$34

isolate the variable x;

p = 34 -5n...equation(2)

Create a table  to guess;

Assume  different values of n and determine the value of p in equation 1 and equation 2

The solution is when the value of p in the equation 1 must be equal to the value of p in equation 2

For n=1;

equation 1; p = 26-1 = 25

equation 2; p = 34-5(1)= 29

29 is not equal to 25

For n=2

equation 1; p= 26-2 = 24

equation 2; p= 34-5(2) = 24

24=24

Hence, the answer is (2,24)

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work out 4.50 ÷ 0.05​

Answers

Answer:

90

Step-by-step explanation:

Other Questions
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