Use the discriminant to determine the number of real solutions to the equation,
10n^2 = 10 - 8n

Answer:

20 miles

Step-by-step explanation:

She ran 20miles, at the same point she passed her friend

Answer:

2/3

Step-by-step explanation:

the points are (2,-5) and (5,-3)

the slope is change in y over change in x

so the slope can be written as:

(-3-(-5))/(5-2)

thats 2/3

and thats the slope

:D hope this helps u

Answer:

a = 56.3°

Step-by-step explanation:

tan(a) = 9/6 = 1.5

atan(1.5) = 56.31°

Answer:

[tex]\boxed {\boxed {\sf 56.3 \textdegree}}[/tex]

Step-by-step explanation:

We are asked to find the measure of angle a.

This triangle is a right triangle because of the small triangle in the corner representing a 90 degree or right angle. Therefore, we can use trigonometric functions. The three main functions are:

The side measuring 6 is adjacent or next to angle a. The side measuring 9 is opposite angle a. Therefore, we will use the tangent function.

[tex]tan \theta= \frac{ opposite}{adjacent}[/tex]

[tex]tan \ a = \frac{ 9}{6}[/tex]

Since we are solving for an angle measure, we use the inverse trigonometric function.

[tex]tan ^{-1} * tan \ a = tan ^{-1} * \frac{9}6}[/tex]

[tex]a= tan ^{-1} * \frac{9}6}[/tex]

[tex]a= 56.30993247[/tex]

Round to the nearest tenth. The 0 in the hundredth place tells us to leave the 3 in the tenth place.

[tex]a \approx 56.3[/tex]

The measure of angle a is approximately 56.3 degrees.

Answer:

About 13 weeks

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]

[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]

[tex]m>14 \wedge m\leq -4[/tex]

There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.

Note: the signal change because we divided by negative number.

Answer:

3m - 12 > 30 and -6m >= 24

Step-by-step explanation:

A. 3m - 12 > 30 and -6m >= 24

3m > 42  and m < = -4

m > 14 and m < = -4

This has no solution

B. -6m >= 12 and m + 5 -18

cannot solve since missing inequality

C. -5m < 20 and 6m > -18

m > -4   and m > -3

solution m > -3

D. -4m - 10 <= -22 and 6m - 8 >= 22

-4m < = -12  and 6m > = 30

m > = 3   and m > =5

m > = 5

Answer:

Step-by-step explanation:

a:b = 3:2    ⇒   a = 3x  and  b = 2x

a - b = 5

3x - 2x = 5

x = 5

a = 3•5 = 15

b = 2•5 = 10

Answer:

C. 0.10, because 6 of the 60 days were clear

Step-by-step explanation:

As per the question, you're in San Antonio which indicates 1st look in San Antonio's row.

Then we want the chance or probability it's clear, so look in clear column. We will find the value that is "6"

So 6 on a total of 60 which is the huge total. Accordingly,  Probability it is right, since that you are into the San Antonio. Then it becomes

[tex]= \frac{6}{60}[/tex]

= 0.1

Therefore the right answer is C.

Answer: 20%

Step-by-step explanation: $20-$16=$4. 4/20=1/5 or 20%.

Answer: Melody's percent error was 20%

Step-by-step explanation:

20-16=4

4/20=1/5

Answer:

The price in dollars per gallon is 8.4

Step-by-step explanation:

The ratio is a comparison between two quantities that is made using a quotient. In other words, a ratio is a comparison between two or more quantities that can be expressed as a fraction. If the quantities to be compared are a and b, the ratio between them is written as: [tex]\frac{a}{b}[/tex]

You know that the price in England is 1.4 pounds per liter and the current exchange rate is 1 pound = 1.65 dollars. So, being the following reasons:

and being the conversion factor 1 L = 0.26 gal expressed as a ratio:

you can see that the expression to find the equivalent price in dollars per gallon is:

[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}[/tex]

Taking into account that all unwanted units of measure are canceled and solving:

[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}=\frac{2.184 dollars}{0.26gal}= 8.4 \frac{dollars}{gal}[/tex]

The price in dollars per gallon is 8.4

Let the cost of a lamp = x

6 lamps would cost 6x

He bought 3 lamps at 3x plus Thad 950 left.

3 lamps plus the 950

Would be the same amount as 6 lamps:

Set up an equation and solve for x:

3x + 950 = 6x

Subtract 3x from both sides:

950 = 3x

Divide both sides by 3:

X = 316.67

Each lamp was $316.67

Multiply the price of a lamp by 6:

316.67 x 6 = 1900

He had $1900

Answer: $1900

Step-by-step explanation:

Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).

So, if he take money remaining with him = x = $950

Amount of money he first had = 2x =$950×2 = $1900

Answer:

third option

Step-by-step explanation:

Given

f(x) = [tex]\frac{5x+5}{x^2+x-2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

The vertical asymptotes are x = 1 and x = - 2

Answer:

72

Step-by-step explanation:

As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.

Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9

2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units

Solution : 72 unit cubes

Answer:

A = 62.35 cm²

Step-by-step explanation:

Use the area formula A = [tex]\frac{\sqrt{3}a^2}{4}[/tex], where a is the side length.

Plug in the values:

A = [tex]\frac{\sqrt{3}(12^2)}{4}[/tex]

A = [tex]\frac{\sqrt{3}(144)}{4}[/tex]

A = 62.35 cm²

Step-by-step explanation:

Hi there!

The given equation is:

y = -2x + 5………………(i)

Comparing the equation with y = mx+c, we get;

m1 = -2

Also another equation of the line which passes through point (-4,2), we get;

(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}

According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;

m1*m2 = -1

-2*m2 = -1

or, m2 = 1/2.

Therefore, m2= 1/2.

Now, keeping the value of m2 in equation (ii).

(y-2) = 1/2(x+4)

y = (1/2)x + 4

Therefore, the required equation is: y = (1/2)x + 4.

Hope it helps!

Answer:

x = 8 and -4

Step-by-step explanation:

3x² - 12x = 96

3(x² - 4x +  4 = 32 + 4)

3[(x - 2)² = 6²]

x - 2 = +/- 6

x = 8

x = -4

Answer:

1/2 is the fractional part of cookie which was eaten by Dan.

Step-by-step explanation:

Dan has 2 1/2 cookies and ate 1/2, so we can just subtract the 2 1/2-1/2

which cancels out the 1/2, which is the fractional part.

He has 2 cookies left.

The fractional part that he ate will be 5/4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

Dan had 2 1/2 cookies and ate 1/2 of a cookie.

Of the original number of cookies.

Then the mixed fraction is converted into fraction.

2 1/2 = 5/2

The fractional part that he ate will be

⇒ (5/2) / 2

⇒ (5/2) x (1/2)

⇒ 5/4

The fractional part that he ate will be 5/4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

x^(1/2)

Step-by-step explanation:

For this, we need to understand exponent rules.  This one is like this, "A power to a power, you multiply the exponents".  This is simply, because this expression would be equivalent to 3 base terms:

(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))

And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following

(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)

Hence, this expression simplifies to x^(1/2).

Cheers.

Answer:

Option D is the correct option.

Step-by-step explanation:

[tex] \mathrm{ ({x}^{ \frac{1}{6} } ) ^{3} }[/tex]

[tex] \mathrm{simplify \: the \: expression \: by \: multiplying \: exponents}[/tex]

[tex] \mathrm{ = {(x)}^{ \frac{1}{6} \times 3 } }[/tex]

[tex] \mathrm{ = {x}^{ \frac{1}{2} } }[/tex]

Hope I helped!

Best regards!

Answer:

Your answer is correct

Step-by-step explanation:

SAS triangle is proven through b option.

Hope this helps....

Have a nice day!!!!

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

Answer:

Step-by-step explanation:7.12 meters tall

Answer:

x = 58

Step-by-step explanation:

The secant- tangent angle 51° is half the difference of the measures of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )

160 - x = 102 ( subtract 102 from both sides )

58 - x = 0 , thus

x = 58

hope it is help full

Step-by-step explanation:

mark me a brainlist

Answer:

<4=<2

x+30=2x+15

x=15

therefore <4=(15)+30

=45°

Answer:

Step-by-step explanation:

Answer:

15/40

Step-by-step explanation:

[tex]0.375 = \frac{375}{1000} \\ \\ = \frac{15}{40} [/tex]

Answer:

D: {x∈R | -2 ≤ x ≤ 2 }

R: {y∈R | 0 ≤ y ≤ 4 }

Step-by-step explanation:

The domain ranges between -2 and 2

The range ranges between 0 and 4

Answer:

Step-by-step explanation:

Vertically opposite angles are equal

x = 25°

Answer:

VW=6

Step-by-step explanation:

UW=VW+UV

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

5x= 7x-4

7x-5x=4

2x=4

x=4/2=2

VW=5x-4=5(2)-4=10-4=6

I hope I helped you^_^

Answer:

B, air pressure in a car tire.

Step-by-step explanation:

Discrete data is data which come in intervals, and isn't continuous.

The number of home runs can only go 0 -> 1 -> 2 -> 3, you can't have 2.5 or 3.2 home-runs.

The number of pills in a container can also only go 0 -> 1 -> 2. Again, can't have 0.7 pills.

The number of cars per household is also discrete. The number of cars in a household goes 0 -> 1 -> 2, you can't have half a car!

However, the air pressure is continuous. If you're increasing the air pressure, it'll (in theory) go from 0 -> 0.000...001 -> 0.000..002 etc. It doesn't "jump" from 0 pressure -> 1 pressure like the others, it goes smoothly. It can be any value.

So the air pressure isn't discrete data.