b) Solve x ^ 2 + 5x - 14 = 0

Answer:

-4.3

Step-by-step explanation:

a+(-1.2)= -5.5

a-1.2=-5.5

add 1.2 to both sides

a-1.2+1.2= - 5.5+1.2

simplify

a= - 4.3

Answer:

a=-4.3

Why?:

You would have to keep the answer negative, this is because if it were to be positive it would make the negative decrease.

You could easily get a line paper and line up-

-4.3

+ -1.2

_______

-5.5

-5.5-(-1.2) would make the equation end up like -5.5+1.2, and -5.5+1.2=-4.3

Therefore,

a=-4.3

Answer:

Step-by-step explanation:

The maximum height of the mountain is 1000 feet. Jeff takes 10 hour(s) less than Ed to go up all the way and come back down

Answer: the answer is 3.7%

Step-by-step explanation:

We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80

3/80=0.0375

to find percentage take 0.0375 and multiply it by 10 to get 3.7

therefor the answer is 3.7%

Answer:

y=-4/5x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-6)/(10-(-5))

m=-12/(10+5)

m=-12/15

simplify

m=-4/5

y-y1=m(x-x1)

y-6=-4/5(x-(-5))

y-6=-4/5(x+5)

y=-4/5x-20/5+6

y=-4/5x-4+6

y=-4/5x+2

−2x^2−8x−6

Expand (−2x-2)(x+3) using the FOIL Method.−2x⋅x−2x⋅3−2x−2⋅3

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

Answer: 

Answer:[tex] m\angle A = 72\degree \m\angle B = 108\degree [/tex] Step-by-step explanation:ABCD is a parallelogram. Since, op

The given ratios expresses the number of time a value is larger or smaller

than another value.

The correct responses are;

Reasons:

3. Given that the perimeter of the rectangle = 72

The ratio of the lengths of the sides = 1:2

Let a and b represent the sides, we have;

2·a + 2·b = 72

[tex]\displaystyle \frac{a}{b} = \mathbf{\frac{1}{2}}[/tex]

Which gives;

2·a = b

2·a + 2·(2·a) = 72

6·a = 72

a = 72 ÷ 6 = 12

b = 2·a = 2 × 12 = 24

The lengths of the sides are; (B) 12 and 24

4. Extended ratio = 2:3:7

The perimeter = 36

The lengths of the sides are;

[tex]\displaystyle \frac{2}{2 + 3 + 7} \times 36 = \mathbf{6}[/tex]

[tex]\displaystyle \frac{3}{2 + 3 + 7} \times 36 = \mathbf{9}[/tex]

[tex]\displaystyle \frac{7}{2 + 3 + 7} \times 36 = \mathbf{21}[/tex]

The lengths are; (D) 6, 9, 21

5. The given equation is presented as follows;

[tex]\displaystyle \frac{5}{x + 7} = \mathbf{\frac{3}{x + 2}}[/tex]

5 × (x + 2) = 3 × (x + 7)

5·x + 10 = 3·x + 21

5·x - 3·x  = 21 - 10

2·x = 11

[tex]\displaystyle x = \mathbf{ \frac{11}{2}}[/tex]

The correct option is; [tex]\displaystyle \underline{(E) \ \frac{11}{2}}[/tex]

6. The width to length ratio is [tex]\displaystyle \mathbf{\frac{2.5}{7.0}}[/tex]

The simplified ratio is therefore;

[tex]\displaystyle \frac{2.5}{7.0} = \frac{2 \times 2.5}{2 \times 7.0} = \mathbf{\frac{5}{14}}[/tex]

The correct option is (E) [tex]\displaystyle \underline{(E) \ \frac{5}{14}}[/tex]

7. The given ratio of the lengths is 3:1

Therefore;

[tex]\overline{BC}[/tex]:[tex]\overline{EF}[/tex] = 3:1

Which gives;

[tex]\displaystyle \mathbf{\frac{\overline{BC}}{\overline{EF}}} = \frac{3}{1}[/tex]

[tex]\overline{BC}[/tex] = 18

Therefore;

[tex]\displaystyle \frac{18}{\overline{EF}} = \frac{3}{1}[/tex]

18 × 1 = 3 × [tex]\overline{EF}[/tex]

[tex]\displaystyle \overline{EF} = \frac{18 \times 1}{3} = 6[/tex]

[tex]\overline{EF}[/tex] = 6

By Pythagorean theorem, we have;

[tex]\overline{DF}[/tex]² = [tex]\mathbf{\overline{DE}}[/tex]² + [tex]\mathbf{\overline{EF}}[/tex]²

Which gives;

[tex]\overline{DF}[/tex]² = 3² + 6² = 45

[tex]\overline{DF}[/tex] = √(45) = 3·√5

Using the given ratio, we have;

[tex]\overline{AC}[/tex] = 3 × [tex]\mathbf{\overline{DF}}[/tex]

Which gives;

[tex]\overline{AC}[/tex] = 3 × 3·√5 = 9·√5

[tex]\overline{AC}[/tex] = 9·√5

The correct option is; (B) [tex]\overline{EF}[/tex] = 6, [tex]\overline{AC}[/tex] = 9·√5

8. EF = 1, AB = 2

CD = 2, CE = 4

Therefore;

[tex]\displaystyle \mathbf{\frac{EF}{AB}} =\frac{1}{2}[/tex]

[tex]\displaystyle \mathbf{\frac{CD}{CE}} =\frac{2}{4} = \frac{1}{2}[/tex]

Which gives;

[tex]\displaystyle \frac{EF}{AB} =\displaystyle \mathbf{\frac{CD}{CE}}[/tex]

(C) The values are equal

9. AC = 6, BE = 8

DF = 3, BD = 6

Column A

[tex]\displaystyle \frac{AC}{BE} =\displaystyle \mathbf{\frac{6}{8}} = \frac{3}{4}[/tex]

Column B

[tex]\displaystyle \frac{DF}{BD} =\displaystyle \mathbf{\frac{3}{6}} = \frac{1}{2}[/tex]

[tex]\displaystyle \frac{3}{4} > \mathbf{\frac{1}{2}}[/tex]

Therefore;

Column A is greater than column B

(A) The value in column A is greater

Learn more about ratios here:

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Answer:

56% left of the book

Answer:

56 %

Step-by-step explanation: There are two ways to arrive at the answer.

1st Way: 110/250 = 0.44

0.44 * 100 = 44%

44% is the amount he has read and we are looking for the amount that is left to read.

So we know 100% is the maximum percentage.

We then subtract 44 from 100 which is 56, So 56 is the answer.

2nd Way: 250-110 = 140

140/250=0.56

0.56*100= 56%

Hope this helps.

Answer:

11

Step-by-step explanation:

Answer:

The walkway is 14ft and 3in

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation:

Answer:

your answer is

its 3.5

4.3-3(4r-3(=0.7(6r-10

We move all terms to the left:

4.3-3(4r-3(-(0.7(6r-10)=0

I'm just doing this for achievement sorry bro

Step-by-step explanation:

dud

Answer:

asa is the correct answer

The postulate or theorem can be used to prove that triangles are congruent is ASA rule.

Two triangles are said to be congruent when they have congruent corresponding parts.

Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,

∠ S ≅ ∠ P [given]

∠ SEA ≅ ∠ PEN [vertically opposite angles]

SE ≅ EP [given]

∴ Δ SEA ≅ Δ PEN by ASA rule

ASA rule :-

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.

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Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

x = 9

Step-by-step explanation:

44 = 2(3x-5)

2(3x-5) expanded is 6x -10

44= 6x -10

+10 to both sides

=

54 =6x

54 divide by 6 = 9

x = 9

please mark as brainlesit is correct.

Answer:

First solve the paranthesis, 2*3x and 2*5, from here we will get the new equation, 44= 6x-10, now you can change sides of the known values to simplfy the question, 44+10=6x -> 54=6x, now divide each side by 6 to find x, 9=x

Step-by-step explanation:

Answer:

Incorrect

Step-by-step explanation:

for your slope go down two to the right one

don't quote me on this but I'm pretty sure it's H multiplication property of inequality

Answer:

55 from un-pure and 165 from pure

Step-by-step explanation:

to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

we call the un-pure mixture a and the pure mixture b

all un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

all pure parts come from a and b in the following rations

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

now to double check

55 * (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95 again

There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

We call the un-pure mixture a and the pure mixture b

All un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

All pure parts come from a and b in the following rations.

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

Now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

Now to double check

55 x (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95

Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.

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Answer:

The slope is steeper and the line is shifted flatter.

Step-by-step explanation:

I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).

As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.

Therefore, if line A is to transform into line B, then its slope will be steeper.

Hope this helps you :)

Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.

Answer:

probably 4.5 if im not mistaking

Answer:

4 1/2

Step-by-step explanation:

(-2 7/10) = (-2.7)

9/5 = 1.8

1.8 - (-2.7)

= 1.8 + 2.7

= 4.5 or 4 1/2

Answer: yes

Step-by-step explanation:

Answer:

Graph both inequalities and see if the point lies in the overlapping shaded region.

Step-by-step explanation: