What is the value of 9.05

Fittoniya [83]

<h3>Answer:</h3>

$\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}$

<h3>Step-by-step explanation:</h3>

A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

The inequality given to us is :-

$\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}$

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

$\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}$

<h3>Hence the standard form of inequality is y²+3y +2 ≤ 0 and the Solution set of the inequality is [ -2 , -1 ] .</h3>

4 0

2 years ago

In the graph shown, suppose that f(x) = ax, g(x) = bx, and h(x) = cx. Choose the true statement.

faltersainse [42]

Where a, b, and c are real numbers and a ≠ 0 . The quadratic term is ax 2 , the linear term is bx, and the constant term is c. Quadratic functions have degree two. The graph of a quadratic function is called a parabola. If a < 0, then the parabola opens downward, like function g. If a > 0, then the parabola opens upward like function f. If the parabola opens upward, then the vertex is the point whose yvalue is the minimum value of f. If the parabola opens downward, then the vertex is the point whose y-value is the maximum value of f. The vertical line that goes through the vertex is called the axis of symmetry of the parabola.

5 0

3 years ago

Read 2 more answers

Kindly answer this.

zvonat [6]

Answer:

to answer questions according to how it is

8 0

2 years ago

A different pattern is made using 15 straight lines and 12 arcs

Volgvan

Answer:

Super Idol的笑容都没你的甜八月正午的阳光都没你耀眼热爱105 °C的你滴滴清纯的蒸馏水.

Step-by-step explanation:

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8 0

2 years ago

On a drawing, a triangle has sides that equal 4 cm, 5 cm, and 6 cm. If the scale of the drawing is 1 cm = 20 feet, find the side

viktelen [127]

1 cm = 20 feet

the triangle's sides are 4 cm, 5 cm, and 6 cm
multiply the amount of cm with 20 feet

4(20) = 80 feet
5(20) = 100 feet
6(20) = 120 feet

Simplify, divide 10 from all numbers

80/10 = 8
100/10 = 10
120/10 = 12

8, 10, 12 is your answer

hope this helps

5 0

3 years ago

Read 2 more answers