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r-ruslan [8.4K]
3 years ago
11

Which of the following graphs represents the solution set for 7(4x – 1 ) + 6x > –279? PLEASE HELP

Mathematics
1 answer:
Luda [366]3 years ago
3 0
First, solve the inequality:
7(4x - 1 ) + 6x \ \textgreater \  -279\\
28x-7+6x\ \textgreater \ -279\\
34x\ \textgreater \ -272\\
x\ \textgreater \ -8
Since x is <u>greater than</u> -8, you have the arrow point up the graph towards the positive side starting at -8.
Since it's greater than but not equal to -8, the circle is open.

Thus your graph is D.
You might be interested in
Given the diagram shown below, which of the following best represents the distance from the school to the library?
White raven [17]
Use the sine theorem:

sin(angle A) / length of side a = sin (angle B) / lenght of side b

Here:

angle A = 32°

length of side a = length from school to library = x

angle B = 110°

length of side b = 2.2 mi

Then, sin(32°) / x = sin(110°) / 2.2 mi

=> x = 2.2 mi * sin (32) / sin (110)

x = 1.24 mi

Therefore the answer is the option B. 1.2 mi
7 0
3 years ago
What is the solution of x+y=2 and 2x+5y=16
uysha [10]
X+ y = 2....multiply by -2
2x + 5y = 16
--------------
-2x - 2y = -4 (result of multiplying by 2-)
2x + 5y = 16
-------------add
3y = 12
y = 12/3
y = 4

x + y = 2
x + 4 = 2
x = 2 - 4
x = -2

solution is (-2,4)

8 0
4 years ago
Find the critical point of the given function and then determine whether it is a local maximum, local minimum, or saddle point.
34kurt

Answer:

critical point of the given function f(x,y) = x²+y²+2xy is from line y = -x is the critical point of the function f(x0,y0) = 0

and it local minimum.

Step-by-step explanation:

Let the given function be;

f(x,y) = x²+y²+2xy

From above function, we can locate relative minima, maxima and the saddle point

f(x,y) = x²+y²+2xy = (x+y)²

df/dx = 2x+2y = 0 ---- (1)

df/dy =2y+2x = 0 ---- (2)

From eqn 1 and 2 above,

The arbitrary point (x0,y0) from line y = -x is the critical point of the function f(x0,y0) = 0

Then, from f(x,y) >= 0 for arbitrary (x,y) € R^n, the arbitrary point from the line x = -y is local minima of the function f.

8 0
3 years ago
WHICH INQUALITY IS EQUAL TO -1 &gt; M+4
PIT_PIT [208]

Answer:

m<−5

Step-by-step explanation:

Step 1: Flip the equation.

m+4<−1

Step 2: Subtract 4 from both sides.

m+4−4<−1−4

m<−5

Hope this helped <3

5 0
3 years ago
What is 1.588 x 10^-1 in standord form
scoundrel [369]
Move the decimal to the left if it is a negative power on the 10 move it right if it is positive. answer is 0.1588
8 0
3 years ago
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