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7nadin3 [17]
2 years ago
10

Solve the inequality for 3y+1 is less than -11 . Simplify your answer as much as possible.

Mathematics
1 answer:
Nataliya [291]2 years ago
6 0

the inequality gives the 'y' value as -4

<h3>What is inequality?</h3>

An inequality is a mathematical tool that compares two values, expressing when one is less than, greater than, or not equal to the other value.

For instance,

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

From the information given, that 3y+1 is less than -11 . It can be expressed as;

3y + 1 ∠ -11

Let's collect like terms

3y ∠ -11 - 1

add like terms

3y ∠ -12

make 'y' the subject of formula

y ∠ -12/3

y ∠ -4

The inequality gives the 'y' value as -4

Thus, the inequality gives the 'y' value as -4

Learn more about inequality here:

brainly.com/question/25275758

#SPJ1

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Find sinx+cosx if sinx*cosx=3/8
Maurinko [17]

Answer:

^+_-\frac{\sqrt{7}}{2}.

Step-by-step explanation:

1.| \ sinx+cosx| =\sqrt{(sinx+cosx)^2}=\sqrt{sin^2x+2sinxcosx+cos^2x}=\sqrt{1+2sinxcosx};

2) according to the item 1:

sinx+cosx=^+_-\sqrt{1+2*\frac{3}{8}} =^+_-\sqrt{\frac{7}{4}}=^+_-\frac{\sqrt{7} }{2}.

5 0
3 years ago
A forest ranger spots a fire from a 115 meter tall tower. The angle of depression from the forest ranger to the fire is 28o. Wha
nikklg [1K]

Answer:

61.15 m

Step-by-step explanation:

From trigonometry :

Tan x = opposite / Adjacent

x = 28°

Tan 28 = distance from base to fire / height

0.5317094 = distance from base to fire / 115

distance from base to fire = 115 * 0.5317094

distance from base to fire = 61.15 m

4 0
3 years ago
write an equation in point slope form for the line that passes through each point with the given slope (-7,2),m=6
frez [133]
Point-slope form for a  line:
We need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀=

We have the point (-7,2) and the slope (m=6); so:
y-2=6(x+7)

Answer: the equation in point-slope form would be: y-2=6(x+7)
6 0
3 years ago
What is the verbal expression of 4q
solniwko [45]

Answer:

4q

We can write the verbal expression of this algebraic or mathematical expression as simple as four times a number. Since the unknown variable here is “q” and it is not specified it doesn’t mean a specific letter q but just a representation of an absent and unknown value of a number. Hence, these variables have a automated value of 1 hence, q = 1 but unless the value of this variable is changed in finding or filling this unknown it remains with the constant of 1.

Step-by-step explanation:

5 0
4 years ago
Please help!!!
Nonamiya [84]

Answer:

c. 2a^3x^4-3a^3x^3+a^4x^2

d. 63x^5y^3-30x^2y^4-7x^3y^2

Step-by-step explanation:

For this exercise you need to remember the following:

 1. The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-

2. The Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

3. The Distributive property:

a(b\±c)=ab\±ac

Knowing that, you can solve the multiplication of the polynomials:

c. (-2ax^2+3ax-a^2)(-a^2x^2)=\\\\=(-2ax^2)(-a^2x^2)+(3ax)(-a^2x^2)+(-a^2)(-a^2x^2)=2a^3x^4-3a^3x^3+a^4x^2

d. (6.3x^3y-3y^2-0.7x)(10x^2y^2)=\\\\=(6.3x^3y)(10x^2y^2)+(-3y^2)(10x^2y^2)+(-0.7x)(10x^2y^2)=63x^5y^3-30x^2y^4-7x^3y^2

8 0
3 years ago
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