PLEASE HELP ASAP! If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Hello, as the coefficient of the leading term is negative we know that the vertex of the parabola is a maximum. So we need to find the vertex.

This expression is maximum for

[tex]t=-\dfrac{b}{2a} \text{ where the parabola equation is}\\\\ax^2+bx+c=0[/tex]

So, here, it gives t = 8/2=4, and then, the maximum is

[tex]-4^2+8*4-4=-16+32-4=32-20=12[/tex]

So the answer is 12.

Thanks


Related Questions

Jerry wants to gravel an area represented by a square with side lengths of 3/4ft. What is the area he needs to fill.

Answers

Answer:

0.5625 ft^2

Step-by-step explanation:

area of square = side * side

A = s^2

A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2

The minimal passing score for a test is 80%. There are 12 exercises on the test. What is the minimum number of correct exercises needed to earn a passing score?

Answers

Getting each exercise correct gets you 8.3(recurring)%. Therefore if you answer 10 exercises correctly you get 83.3%, and if you answer 9 exercises correctly you get 75%, this means that the minimal exercises you need to get correct is 10.

please can someone help me solve this.. please help!!​

Answers

Step-by-step explanation:

Hello,

Firstly just look to triangle BDE,

Here, you will find that,

140° = y+80° {the exterior and opposite interior angle of a triangle is equal}.

or, y= 140°-80° {shifting 80° to another side and subtracting it.}

Therefore, the value of y is 60°.

now, let's simply work with line EB or EG. we get;

angle GEF + y=180° { being a linear pair}.

or, angle GEF + 60°= 180°

or, angle GEF = 180°-60°

Therefore, the value of angle GEF = 120°.

now, looking in triangle EFG, we get;

angle GEF + 35°+x= 180° { the sum of interior angle of a triangle is 180°}.

or, 120°+35°+ x= 180°

or, x= 180°- 155°

Therefore, the value of x is 25°.

now, lastly finding the value of "z"

We find that x= z {being vertical opposite angle}

or, z =25°

Therefore, the value of z is 25°.

So, the values are,

x=25°

y=60°

and z= 25°

Hope it helps...

If the lengths of the legs of a right triangle are 3 and √10, what is the length of the hypotenuse?

Answers

Answer:

[tex]\sqrt{19}[/tex]

Step-by-step explanation:

We can use the pythagoren theorm (A^2 + B^2 = C^2) for right triangles, C being the hypotenuse.

3^2 + 10 = C^2

19 = C^2

C = [tex]\sqrt{19}[/tex]

The required length of the hypotenuse of triangle is √19.

Legs of right angle triangle is √10 and 3. Hypotenuse to be determine.

What are the legs in triangle?

Legs in right triangle refers to the perpendicular and base.

Hypotenuse = [tex]\sqrt{perpendicular^2+base^2}[/tex]
                   = [tex]\sqrt{3^2+\sqrt{10}^2 }[/tex]
                   = [tex]\sqrt{19}[/tex]

Thus, the required length of the hypotenuse of triangle is √19.

Learn more about legs in triangle here:
https://brainly.com/question/344286

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Convert the following: 2 liters is equivalent to ounces (rounded to the nearest hundredth)

Answers

Answer:

67.63 oz

Step-by-step explanation:

1 liter = 33.814 oz

2 litres = 2 x 33.814 oz = 67.628 oz

Jared hiked a trail that is 12 miles long. He hiked the trail in section that were 1.5
miles each. In how many sections did he complete the hike?

A. 12
B. 8
C. 10
D. 4​

Answers

Not sure but it’s probably 8
12 divided by 1.5= 8

Write the quadratic equation whose roots are −3 and 2, and whose leading coefficient is 4.

Answers

Answer:

f(x) = 4(x+3)(x-2)

Step-by-step explanation:

The quadratic function is

f(x) = a(x-b1)(x-b2)  where a is a coefficient and b1 and b2 are the zeros

f(x) = a(x- -3)(x-2)

f(x) = a(x+3)(x-2)

The leading coefficient is a and we know a =4

f(x) = 4(x+3)(x-2)

Simplify
1/2 - 3 (1/2 + 1)*
Enter your answer in the box as a fraction in simplest form.
&

Answers

Answer:

Final answer is  ---> -4

Step-by-step explanation:

Ummm i know the answer isn't 4 pls help

Answers

Answer:

11

4m-28 = 16

4m = 44

m=11

Step-by-step explanation:

Bags of limes = 4

Total limes in each bag = m

Total limes = 4m

ATQ

4m - 7(4)= 16

4m = 16+28

4m = 44

m = 44/4

m = 11

Value of m = 11

Must click thanks and mark brainliest

Simplify 5 x 5^2 leaving your answer in index form.​

Answers

Answer:

5^3

Step-by-step explanation:

5^1 x 5^2

indices rules when multiplying you add the powers to 1+2=3

5^3

Whoever can answer this question gets 100 Points!!!!!!!

question: What is 2 + 2 - 1

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

What is the slope of the line between (3, −4) and (−2, 1)?

Answers

Answer:

Slope = -1

Step-by-step explanation:

To find the slope of the line between two points, we simply need to take the difference of the y-coordinates over the difference of the x-coordinates.

(-2, 1) and (3, -4)

Slope = (-4 - 1) / (3 - (-2) )

Slope = -5 / ( 5 )

Slope = - 1

Cheers.

Find the area of the shape shown below.
9.0
3.5
2
5
2.
units

Answers

Answer: 42.5 unit^2

Explanation:

Answer:

[tex] \boxed{42.5 \: {units}^{2} }[/tex]

Step-by-step explanation:

The shape could be divided into a rectangle and a trapezoid ( bottom part )

Let's find the area of the given shape:

Area of the given shape = [tex] \mathsf{ (l \times b) + \frac{1}{2} (b1 + b2)h}[/tex]

plug the values

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 +9 - (5 + 2) \times 2}[/tex]

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 + 2)(2)}[/tex]

[tex] \mathsf{ = 31.5 + \frac{1}{2} \times 11 \times 2}[/tex]

[tex] \mathsf{ = 31.5 + 11}[/tex]

[tex] \mathsf{ = 42.5 \: {units}^{2} }[/tex]

Hope I helped!

Best regards!

-11b+7=4 someone help I’ve been stuck on this problem forever

Answers

Answer: Hi!

First, we will use inverse operations to remove the 7. Subtract 7 on both sides:

7 - 7 = 0

4 - 7 = -3

Our equation now looks like this:

-11b = -3

Now we will use inverse operations to isolate the b. Divide -11 on both sides:

-11b ÷ -11 = b

-3 ÷ -11 = 3/11

Our equation now looks like this:

3/11 = b

3/11 is equal to b. This is your answer!

Hope this helps!

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer: C) increase from 45 degrees to 50 degrees

===============================================

Explanation:

Let's calculate the angle B based off the arcs CDF and GHJ

B = (far arc - near arc)/2

B = (arc CDF - arc GHJ)/2

B = (130 - 40)/2

B = 90/2

B = 45

----------

Now let's change GHJ to 30 degrees, while keeping the other arc the same.

B = (far arc - near arc)/2

B = (arc CDF - arc GHJ)/2

B = (130 - 30)/2

B = 100/2

B = 50

Angle B has increased from 45 degrees to 50 degrees.

I am unable to find the answer to this pleas help me

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] of 600 is 150

hope this helps

plz mark as brainliest!!!!!!

A box of 15 cookies cost nine dollars what is the cost of one cookie

Answers

Answer:

$1.67

Step-by-step explanation:

Divide 15 by 9 to find the price of one cookie:

15/9 = 1.67

=  approximately $1.67

We want to factor the following expression:
(x+4)^2 -4y^5 (x+4) + 4y10
We can factor the expression as (U – V)2 where U and V are either constant integers or single-variable
expressions.
1) What are U and V?

Answers

Answer:

U = x + 4 and V = 2y^5.

Step-by-step explanation:

Square root of (x + 4)^2 = x + 4

Square root of 4y^10 = 2y^5

U = x + 4 and V = 2y^5.

(U - V)^2 = U^2 - 2UV + V^2

= (x + 1)^2 - 2 (2y^5 (x + 1) + 4y^10

= (x + 1)^2 - 4y^5 (x + 4) + 4y^10

Answer:

U = x + 4 and V = 2y^5.

Step-by-step explanation:

Which set of integers represents the lengths of the sides of an isosceles triangle? A. {6,6,5} B. {3,4,5} C. {15,5,10} D. {1,1,3}

Answers

Answer:

A 6,6,5

Step-by-step explanation:

because an isosceles triangle has two it side equal

The set of integers represents the lengths of the sides of an isosceles triangle is A (6,6,5).

What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle.Properties of an Isosceles Triangle

Here is a list of some properties of isosceles triangles:

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.In the isosceles triangle given above, the two angles ∠B and ∠C, opposite to the equal sides AB and AC are equal to each other.The isosceles triangle has three acute angles, meaning that the angles are less than 90°.The sum of three angles of an isosceles triangle is always 180°.

Types of Isosceles Triangles

Generally, isosceles triangles are classified into three different types:

Isosceles acute triangle: An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. Isosceles right triangle: The following is an example of a right triangle with two legs (and their corresponding angles) of equal measure. Isosceles obtuse triangle: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.

Therefore,  set of integers represents the lengths of the sides of an isosceles triangle {6,6,5}.

Learn more about Isosceles Triangle is on :

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Pls help I tried basic answers like 50+50+80 =180 but it’s wrong so pls help

Answers

Answer:

x = 65 degrees

Step-by-step explanation:

x° + x° + 50° = 180°

2x + 50° = 180°

2x = 180° - 50°

2x = 130°

x = 130°/2

x = 65°

Anyone know the answer or how to solve this

Answers

Answer:

9 for part b 40 for part a

Step-by-step explanation:

if u do 5 times the numbers it gives u the product so 45 is 9 times 5 and 40 os 8 times 5

Answer:

Part A: 9 orange beads

Part B: 40 blue beads

Step-by-step explanation:

Notice that you need to have the proportion of blue beads always 5 times larger than the number of orange beads. therefore you need to complete the table following such pattern:

Part A:  for 45 blue beads, she needs to use : 45/5 = 9 orange beads

Part B: for 8 orange beads, she needs to use 8 * 5 = 40 blue beads

Correct answer gets 5 stars and brainliest

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle ,we can use the Pythagorean theorem

a^2+b^2 = c^2

a^2 + 5^2 = 13^2

a^2 +25 = 169

Subtract 25 from each side

a^2 = 169-25

a^2 = 144

Taking the square root of each side

sqrt(a^2) =sqrt(144)

a = 12

Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season. A. linear B. exponential C. none of these D. quadratic

Answers

Answer:

A. linear, because it's growing the same amount each growing season

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is linear because it goes up by a constant every year

What is the area of this composite figure?

Answers

Answer:

C.) 7.14 in²

Step-by-step explanation:

The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.

The area of the square can be found by multiplying length times the width:

[tex]2*2=4[/tex]

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:

A=4in²

Now find the area of the circle using the formula:

[tex]A=\pi r^2[/tex]

The radius is half of the diameter, so the radius is 1. Insert values and solve:

[tex]A=\pi *1^2\\\\A=\pi *1\\\\A=\pi[/tex]

The area of the circle is equal to π. Add the values together:

[tex]4+\pi =7.14[/tex]

The area of the figure is 7.14 in²

:Done

define a ploynomial with real coeffients​

Answers

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable is called polynomial. A polynomial with real coefficients is a product of irreducible polynomials of first and second degrees.

Help please and thank you

Answers

Answer:

x = y² - 7

Step-by-step explanation:

the inverse function is simply an exchange of x and y (and then the simplification happens to transform the whole expression back into a form y = ....)

HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)

Answers

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x      )(x       )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

Answer:

[tex]\large \boxed{2(5x-4)(x+1)}[/tex]

Step-by-step explanation:

[tex]10x^2 + 2x - 8[/tex]

Rewrite 2x as 10x - 8x.

[tex]10x^2 + 10x-8x - 8[/tex]

Factor out the two groups.

[tex]10x(x+1)-8(x+1)[/tex]

Take x+1 as a common factor.

[tex](10x-8)(x+1)[/tex]

Factor 10x - 8.

[tex]2(5x-4)(x+1)[/tex]

Which of the following represents the solution for -2 ≤ 7 - x < 11 ?

Answers

Answer:

A

Step-by-step explanation:

- 2 ≤ 7 - x < 11

-9 ≤ - x         - x < 4

9 ≥ x           x > -4

Answer:

Hey there!

-2 ≤ 7 - x < 11

-9 ≤ - x < 4

9 ≥ x > -4

-4 < x ≤ 9

A closed circle means greater than or equal to or less than or equal to, while an open circle means greater or less than. From this equation, we see that number line A is correct.

Let me know if this helps :)

Art walked 4.1 km in preparation for the Community Walk–a–thon. Bill walked 3600 m. How many more metres did Art walk than Bill?

Answers

Answer:

.5 more kilometres.

Step-by-step explanation:

3600 m = 3.6 km. 4.1 is .5 greater than 3.6

500 m

First you need to convert 4.1 km into meters.
1 kilometer (kilo=1000) equals 1000 meters, so to convert 4.1 kilometers into meters you need to multiply 4.1 x 1000

4.1 x 1000 = 4,100
4.1 km = 4,100 m

To find out how many more meters art walked than Bill, you need to subtract the amount of meters Bill walked (3600 m) from the amount of meters Art walked (4100 m).

4,100 - 3,600 = 500

Art walked 500 more meters than Bill

A train moves at a speed of 90 km/hr. How far will it travel in 36 minutes?

Answers

Answer:

(90/60)*36 = 54 km

Step-by-step explanation:

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