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3 years ago

Determine whether test point (-6,4) is a solution to the linear inequality x+y_<1

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

$\bf \begin{array}{llll}
-6&,&4\\
\uparrow &&\uparrow \\
x&&y
\end{array}\qquad x+y\le 1\implies -6+4\le 1\implies -2\le 1$

now, is it true that -2 is lesser than 1? if it's true, is a solution, if is false, is not then

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Can some one pls help

siniylev [52]

Answer:

m=9

Step-by-step explanation:

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

In your scenario:

(7-(-2))/(-6-(-7))=m

m=9

6 0

3 years ago

Do the information on a bag of fertilizer 5 pounds of fertilizer are needed for every two square feet of lawn how many square fe

gregori [183]

Answer:

25 lb bag of fertilizer can cover <u>10 square feet</u> of lawn.

Step-by-step explanation:

Given:

5 pounds of fertilizer cover = 2 $ft^2$ of the lawn

We need to find the 25 lb bag cover.

Solution:

Now we know that;

5 pounds of fertilizer = 2 $ft^2$ of yard.

1 lb of fertilizer = Number of $ft^2$ lawn covered by 1 lb fertilizer.

Using Unitary method we get;

Number of $ft^2$ lawn covered by 1 lb fertilizer = $\frac{2}{5}\ ft^2$

Now we can say that;

1 lb of fertilizer = $\frac{2}{5}\ ft^2$ of the yard

25 lb of fertilizer = Number of $ft^2$ lawn covered by 25 lb fertilizer.

Again by using Unitary method we get;

Number of $ft^2$ lawn covered by 25 lb fertilizer. = $\frac{2}{5}\times 25 = 10 \ ft^2$

Hence 25 lb bag of fertilizer can cover <u>10 square feet</u> of lawn.

7 0

3 years ago

In a group of students, the ratio of girls to boys is 3 to 2. If there are 15 girls, how many total students are there? 10 20 25

Ksju [112]

Your answer is 25 students in total

4 0

3 years ago

148,305 how many hundred

Simora [160]

The places of the digits are ordered as follows (from right to left): units, tens, hundreds, thousands, ten thousands, hundred thousands.
so, in you expression:
5 represents the units
0 represents the tens
3 represents the hundreds
8 represents the thousands
4 represents the ten thousands
1 represents the hundred thousands.

so, the answer for your question is:
there are 3 hundreds

6 0

3 years ago

Find the slope of the tangent line to the graph of -2y + 8x^2 = -7x + 9y^2 - 29 at (2,-3)

Dmitriy789 [7]

Answer:

Step-by-step explanation:

Take the derivative of all terms with respect to x:

-2(dy/dx) + 16x = -7 + 18y(dy/dx). Grouping the (dy/dx) terms on the left, we get:

(dy/dx)(-2 - 18y) = -7 - 16x, or

-7 - 16x

dy/dx = ------------------

-2(1 + 18y)

Substituting 2 for x and -3 for y, we obtain the desired derivative:

-7 - 16x -7 - 32 -39

dy/dx = ------------------ = --------------- = ----------- = -0.368

-2(1 + 18y) -2(1 - 54) 106

4 0

3 years ago