All categories

3 years ago

Which equation has no solution?

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

Answer:

The Answer would be B.

Step-by-step explanation:

Rearrange

5+2*(3+2*x)-(x+3*(x+1))=0

Step 2:

(5 + 2 • (2x + 3)) - (4x + 3) = 0

Step 3 :

8 = 0

Step 4 :

Equations which are never true :

8 = 0

This equation has no solution.

You might be interested in

Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make

yanalaym [24]

Answer:

Option A = 7.5 cups

Step-by-step explanation:

Given : Suppose you're making a soup that uses 5 cups of chicken broth and $\frac{3}{4}$ teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}$ teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and $\frac{3}{4}$ teaspoons of corn starch for 8 servings.

i.e. 5 cups + $\frac{3}{4}$ teaspoon = 8 servings ......(1)

You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}=\frac{9}{8}$

i.e. x cups + $\frac{9}{8}$ teaspoon = 12 servings ........(2)

So, First we find the ratio

Ratio is $\frac{12}{8}=\frac{3}{2}$

So to equal the ratio multiply (1) by $\frac{3}{2}$

$5\times \frac{3}{2}$ cups + $\frac{3}{4}\times \frac{3}{2}$ teaspoon = $8\times \frac{3}{2}$ servings

$\frac{15}{2}$ cups + $\frac{9}{8}$ teaspoon = 12 servings

On comparing with (2),

The value of x is $\frac{15}{2}$ .

Therefore, The broth do we need is $\frac{15}{2}=7.5$ cups.

So, Option A is correct.

5 0

3 years ago

How can you tell if two equations for parallel lines or perpendicular lines. please explain?

kicyunya [14]

To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular

5 0

3 years ago

Read 2 more answers

Suppose 13% of American adults believe that the highest priority of America is to protect freedom of speech. We will take a rand

Cerrena [4.2K]

Answer:

A) neither Normal, not Binomial

5 0

4 years ago

Please help me with this<br> It is due today, so please help me ASAP

horrorfan [7]

1.a. 2 hours 41 minutes b. 10 hours 21 minutes
2.a. 3:10pm b. 12:42pm