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Klio2033 [76]
3 years ago
7

Solve and graph each inequality -2y+7<1 or 4y+3<-5​

Mathematics
2 answers:
Nataly [62]3 years ago
5 0

Answer:

<h2>y < -2 or y > 3</h2>

Step-by-step explanation:

(1)\\\\-2y+7

-\text{op}\text{en circle}\\\leq,\ \geq-\text{closed circle}

8_murik_8 [283]3 years ago
4 0

Answer:

  • 3 < y
  • y < -2

Step-by-step explanation:

1. -2y+7 < 1

Add 2y-1:

  6 < 2y

Divide by 2:

  3 < y

__

2. 4y +3 < -5

Subtract 3:

  4y < -8

Divide by 4:

  y < -2

_____

These are graphed on the number line with open circles because y=-2 and y=3 are not part of the solution set.

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Find the surface area of the figure. A. 80 square inches B. 280 square inches C. 300 square inches D. 21 square inches?
mars1129 [50]
The answer is D. for sure 21 square inches
4 0
3 years ago
If A=2x+10 and B=2x+2 what is the measurement of A
olganol [36]

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

PLEASE MARK ME AS BRAINLIEST

5 0
2 years ago
Read 2 more answers
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh
aleksklad [387]

The spider's movement is an illustration of a parabola.

  • The equation of a parabola is: \mathbf{y = -\frac{1}{160}(x - 40) + 10}
  • The focus of a parabola is: (40,-30)
  • The axis of symmetry is: \mathbf{x = 40}
  • The directrix is:\mathbf{y = 50}

<u>(a) The equation</u>

The spider passes through the origin.

So, we have:

\mathbf{(x,y) = (0,0)}

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

\mathbf{(h,k) =  (40,10)}

The equation of a parabola is:

\mathbf{y = a(x - h)^2 + k}

So, we have:

\mathbf{0 = a(0 - 40)^2 + 10}

Subtract 10 from both sides

\mathbf{a(0 - 40)^2 =- 10}

\mathbf{1600a =- 10}

Solve for a

\mathbf{a =- \frac{1}{160}}

Substitute \mathbf{a =- \frac{1}{160}} and \mathbf{(h,k) =  (40,10)} in \mathbf{(h,k) =  (40,10)}

\mathbf{y = -\frac{1}{160}(x - 40) + 10}

<u>(b) The focus, directrix and the axis of symmetry</u>

The focus of a parabola is:

\mathbf{Focus= (h, k + p)}

Where:

\mathbf{p = \frac{1}{4a}}

So, we have:

\mathbf{p = \frac{1}{4 \times -1/160}}

\mathbf{p = -\frac{160}{4}}

\mathbf{p = -40}

So, we have:

\mathbf{Focus = (40,10-40)}

\mathbf{Focus = (40,-30)}

The axis of symmetry is:

\mathbf{x = h}

So, we have:

\mathbf{x = 40}

The directrix is:

\mathbf{y = k - p}

\mathbf{y = 10 + 40}

\mathbf{y = 50}

Read more about parabolas at:

brainly.com/question/25237745

4 0
3 years ago
Can someone please help me with this question?
Lina20 [59]

Answer:

402.12

Step-by-step explanation:

V=πr2h= π·42·8≈402.12386

7 0
3 years ago
Read 2 more answers
I need help or me mommy will get mad
suter [353]

Answer:

2 inches

Step-by-step explanation:

\frac{.25}{4} =\frac{x}{32} \\

(0.25*32)/4=2

4 0
3 years ago
Read 2 more answers
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