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Lemur [1.5K]
3 years ago
5

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}&#10;-6&,&4\\&#10;\uparrow &&\uparrow \\&#10;x&&y&#10;\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
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