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2 years ago

Please help

Mathematics

1 answer:

puteri [66]2 years ago

6 0

Answer:

-2<x<4

Step-by-step explanation:

-5<4x+3<19 this is the same as -5<4x+3 AND 4x+3<19

-5<4x+3 subtract 3 on both sides and u get -8<4x

-8<4x Divide four by both sides and u get -2<x or x>-2.

For those of u who are confused when to switch the symbol < or > or etc, the rules are…

when u are dividing by a negative number then switch the symbol. For example, -16/-2 then switch symbol or 16/-2. When it’s -16/2 then don’t switch.

anyways.. the second equation: 4x+3<19 subtract 3 on both sides and u get

4x<16 then divide by 4 each side and u get x<4 if u wanna combine them both then it would be -2<x<4. On a number line, u would use an open circle that is not shaded for both numbers. Label -2 on the left side of zero and 4 on the right. Then connect the not shaded circles together on the number line. I hope u understand how to draw in my explanation if not then tell me and I’ll edit my response! :D

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The area of rectangle ABCD is 28 cm^2

Sonbull [250]

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

Find out more at: brainly.com/question/15019502

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2 years ago

Four times a number is equal to the number increased by 15. Enter the equation that represents Karla's sentence into the box. Us

Montano1993 [528]

Answer:

The equation that represents Karla's sentence is 4y = y + 15

Step-by-step explanation:

From the question,

Four times a number is equal to the number increased by 15. To write the equation that represents the sentence, we will have to use a variable to represent the unknown number.

Since we are asked to use y for the variable, that is, let the number be y

Then

The statement, "four times a number" will be

4×y = 4y

and this is equal to the number increased by 15,

The number increased by 15 means y + 15.

Hence, the equation becomes

4y = y + 15

This is the equation that represent Karla's sentence.

If desired,

The unknown number can be determined by solving for y in the equation

4y = y + 15

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4y - y = 15

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Then, Divide both sides by 3

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Answer:

Step-by-step explanation:

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2 years ago

F(x)=20-x^2+8x what are the minimum and maximum points and the axis of symmetry?

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Vertex aka max or min point is found by -b/2a in form
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