how do you solve for 14x+11x+10=85

Answer:

p = 8

Step-by-step explanation:

Let one root of the eqn. be alpha . Other root is 1/alpha .

We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant  & "a" is the co-efficient of x^2.

Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

[tex]\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8[/tex]

Answer:

25

Step-by-step explanation:

5 / 7 * 35

Cancel 35 by 7 since 7 * 5 = 35

Therefore, you get

5 * 5 = 25

Answer:

[tex] \frac{5}{7} \times 35[/tex]

[tex]divide \: the \: 7 \: from \: 35[/tex]

[tex]you \: will \: get \: 5[/tex]

[tex]now \: 5 \times 5 = 25[/tex]

ANSWER = 25

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer: -4

Step-by-step explanation:

For the function 4t + 20, the value of t is  -4.

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given value of function h(t) = 4t + 20.

To find the value of t when h(t) = 4.

Substitute, h(t)  4.

4t + 20 = 4

4t = 4 - 20

4t = - 16

t = -4.

The required value of t is -4.

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Answer:

22.45

Step-by-step explanation:

Answer: The correct answer is -132.64

Answer:

4-(-5)=4+5=9

Step-by-step explanation:

Instead of subtracting the numbers, the subtraction sign and the negative sign in front of the 5 combine to make one big plus sign, therefore resulting in the equation becoming 4+5=9.

Answer:

54 Minutes

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

simplify

8 [-4 (3-2)]

multiply

8 [-4 (1)]

take absolute value: four becomes positive

8 [-4]

solve

8*4

32

Answer:

i believe its -32

Step-by-step explanation:

Well you start in the parentheses and you get 1 and then you multiply -4 x 1 and you get -4 and then multiply that by 8 and get -32

hope this helps

Answer: e. x≠2             f. x≥-1/2

Step-by-step explanation:

Domain is basically the x value of a function.

----------------------------------------------------------------

Question e.

g(x)=5/(2-x)

First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.

Since x is in the denominator: 2-x≠0

2-x≠0

----------------------------------------------------------------

Question f

h(x)=√(2x+1)

For a standard square root, the value inside can't b negative

So 2x+1≥0

        2x≥-1

Hope this helps!! :)

Please let me know if you have any question

Answer:

Different cuts can produce cross sections that are congruent to the base, a side, or even triangles if the cut is through the corner of a prism. A slice that is not parallel to the base and contains points from the four vertical edges of the prism reveals a parallelogram.

Step-by-step explanation:

hope this helps

Answer:

An irregular pentagonal prism

Answer:

453

Step-by-step explanation:

The length of line segment AC of the given triangle is; 14

Since Angle ABC and BCA are congruent, it means that they are equal.

An isosceles triangle is a triangle that has two equal sides and two equal base angles.

Now, since Angle ABC and BCA are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes;

3x - 7 = 2x

3x - 2x = 7

x = 7

To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes

(3 × 7) - 7

= 21 - 7 = 14

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Answer:

0.83

Step-by-step explanation:

[tex] \frac{45}{54} \\ [/tex]

Use 3 to divide through

[tex] \frac{5}{6 } = 0.8333333[/tex]

Answer:

42,804.35 million people per miles

Step-by-step explanation:

Population density = Number of people / Land area

New York

Population = 8.55 million

Land area = 300 square miles

Manhattan

Population = 1.64 million

Land Area = 23 Square miles

Population density of New York = Number of people / Land area

= 8.55 million / 300 Square miles

= 8,550,000 / 300

= 28,500 people per square miles

Population density of Manhattan = Number of people / Land area

= 1.64 million / 23 miles

= 1,640,000 / 23

= 71,304.35 million people per square miles

Difference between Manhattan and new York City = 71,304.35 - 28,500

= 42,804.35 million people per miles

Therefore,

The population density of Manhattan is greater than that of New York City by 42,804.35 million people per miles

The difference between the population densities of Manhattan and New York is 42,804 people per square mile.

The density of New York is:

= Population / Area

= 8,550,000 / 300

= 28,500 people per square mile

Density of Manhattan:

= 1,640,000 / 23

= 71,304 people per square mile

The difference is:

= 71,304 - 28,500

= 42,804 people per square mile

In conclusion, Manhattan's population density is 42,804 people per square mile higher than New York City's.

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Answer:

An egg and cheese biscuit was $3.65.

Step-by-step explanation:

Liam's breakfast was:

[tex] P = E + C + M [/tex]

Where:

P: total price

E: egg

C: cheese biscuit

M: carton of milk  

[tex] P = E + C + M [/tex]

[tex] 5.65 = E + C + M [/tex]   (1)

Now, Finn's breakfast was:

[tex] P = E + C + 2*M [/tex]

[tex] 7.65 = E + C + 2*M [/tex]   (2)      

By subtracting equation (2) from (1) we have:

[tex] 7.65 - 5.65 = 2M - M [/tex]

[tex] M = 2 [/tex]

Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:

[tex] 5.65 = E + C + M [/tex]

[tex] 5.65 - 2 = E + C [/tex]

[tex] E + C = 3.65 [/tex]

Therefore, an egg and cheese biscuit was $3.65.

I hope it helps you!

Answer:

10x - 5(x - 1) = 20

10x - 5x + 5 = 20

5x + 5 = 20

5x = 20 - 5

5x = 15

x = 15/5

x = 3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The first error was in the 2nd line:  -5(x - 1) is -5x + 5, not -5x - 5 = 20.

Continuing the solution:

10x - 5x + 5 = 20

Combining like terms, we get

5x = 15, and so x = 3

Answer:

The length of the yard is 102

Step-by-step explanation:

If the width of the yard is 100 feet, and it's a rectangular, that means the other side of the rectangle is also equal to 100 feet. So so far we have 200 feet of the yard covered. Then we do 404-200=204. So the combined length of both the sides is 204. Since they both equal the same length, we can then do 204/2 to get 102. So one side length is 102 and the L, W, L, W of the rectangle is 102, 100, 102, 100. In other words, the rectangle is 102 by 100.

Answer:

Length of the yard = 102 ft

Step-by-step explanation:

Perimeter of the yard P = 404 ft

Width of the yard W = 100 ft

Find Length of the yard L = ?

Perimeter of a rectangular = 2L + 2W

404 = 2L + 2(100)

2L = 404 - 200

2L = 204

L = 204 / 2

L = 102 ft

7/18 is a rational number. A rational number is one that may be expressed as a fraction or as a component of a whole number.

Any number that can be stated as a fraction or as a portion of an entire number is considered rational.

The given number in the problem is;

7/18

The number is in the form of p/q and the denominator value is greater than the numerator in fraction form, so that the given number is a rational number.

Hence,7/18 is a rational number.

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Answer:

The answer to this is true because they are open at the same angle

Answer:

w= A / l

Step-by-step explanation:

A = lw

Where,

A= Area of a rectangle

l= Length of a rectangle

w= width of a rectangle

Area of a rectangle = length × width

Solve the formula(equation) for width(w).

A= lw

Divide both sides by l

A / l = lw / l

A / l = w

Width = Area of the rectangle / length of the rectangle

Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.

A= 12 square inches

l= 6 inches

w= x inches

A= lw

w= A / l

= 12 / 6

= 2

w = 2 inches

Answer:

x = -3/4 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

(-4 x - 3) (x - 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

-4 x - 3 = 0 or x - 3 = 0

Hint: | Look at the first equation: Divide both sides by the sign of the leading coefficient of -4 x - 3.

Multiply both sides by -1:

4 x + 3 = 0 or x - 3 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 3 from both sides:

4 x = -3 or x - 3 = 0

Hint: | Solve for x.

Divide both sides by 4:

x = -3/4 or x - 3 = 0

Hint: | Look at the second equation: Solve for x.

Add 3 to both sides:

Answer: x = -3/4 or x = 3

Answer:

lesser x = -3/4

greater x =3

Step-by-step explanation:

h(x) = (-4x – 3)(x – 3)

Set the function equal to zero to find the zeros

0 = (-4x – 3)(x – 3)

Using the zero product property

0 = (-4x – 3)   0=(x – 3)

Solve each  equation

3 = -4x          3 =x

-3/4=x            3 =x

lesser x = -3/4

greater x =3

A point represents a location. A coordinate on a plane .

The intersection of two planes is a line.

The missing weights are:

2 2 2 1 11 12 12 2 24 22 24 3 37 22

Answer:

[tex]Average = 12\frac{4}{7} \ lb[/tex]

Step-by-step explanation:

Given

Weight of sea glass

To solve this question, we have to calculate the mean of the weight of the sea glass as follows;

[tex]Average = \frac{\sum x}{n}[/tex]

Where n = number of sea glass

[tex]n = 14[/tex]

So:

[tex]Average = \frac{\sum x}{n}[/tex] becomes

[tex]Average = \frac{2 +2 + 2 + 1 + 11 +12 +12 +2 +24+22 +24 +3 +37+ 22}{14}[/tex]

[tex]Average = \frac{176}{14}[/tex]

[tex]Average = 12\frac{8}{14}[/tex]

Simplify fraction

[tex]Average = 12\frac{4}{7}[/tex]

Hence; the weight of the sea glass would be [tex]12\frac{4}{7}\ lb[/tex] when evenly distributed...

Greetings from Brasil...

let's multiply both the 1st and 2nd members by 12k:

(8/12K) + (3/12K) = 22      x12K

8 + 3 = 264K

Answer:

F(x−1)=x2+x−4

Explanation:

Substitute the given value into the function and evaluate.

Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

Answer:

$81.09

Step-by-step explanation:

C=0.765(100)+0.06(0.765x100)

C=0.765(100)+0.06x76.5

C=0.765(100)+4.59

C=76.5+4.59

C=81.09

Answer:

no cemma cuhydhfhhdhdhd