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Temka [501]
3 years ago
10

2 times the sum of a number and 4 is no more than three times the sum of a number and 7 decreased by 4

Mathematics
1 answer:
anygoal [31]3 years ago
5 0
2(x+4) \geq 3((x+7)-4) \\ 2x+8 \geq 3(x+7)-12 \\ 2x+8 \geq 3x+21-12 \\ 2x+8 \geq 3x+9 \\ 2x \geq 3x+1 \\ -x \geq 1 \\ x \leq -1
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What was the price per yard of fabric
GuDViN [60]
Fabric will run you from $1/yd to upwards of $20/yd, depending on what you want. If you're looking for a fairly basic fabric, you're probably going to pay around $5-8 a yard. Patterns have gotten really pricey, but here's a trick--always buy them on sale. Most fabric stores will have one or two pattern brands on sale for a couple bucks a piece at any given time, which beats the heck out of paying $20 for one. Thread is around $2.50 a spool (can be higher, depending on quantity and material), and I want to say a zipper will run somewhere in the vicinity of $3, depending on size and type.
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3 0
3 years ago
Which represents the inverse of the function f(x) = 4x
Mademuasel [1]

Answer:

f(x) = x/4

Step-by-step explanation:

To find the inverse of a function replace the positions of x and y. Then isolate y.

y = 4x

x = 4y

x/4 = y

f(x) = x/4

5 0
3 years ago
Match each whole number with a rational, exponential expression.
Katyanochek1 [597]

1.\\9=3^2\\2.\\196=14^2\\3.\\256=16^2=4^4=2^8\\4.\\225=15^2\\5.\\16=4^2=2^4\\6.\\25=5^2

4 0
3 years ago
Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be
kvv77 [185]
Answer:

Angle A must be acute.

Explanation:

Both angle A and C must be acute. The sum of the angles in a triangle is 180°.

An obtuse angle is more than 90°, so the sum of the remaining 2 angles has to be less than 90°.

Note that it is impossible to have:

<span>2 right angles in a triangle, because <span>90°+90°=180</span>° and the third angle still needs to be added.1 obtuse and 1 right angle in a triangle, their sum is more than 180°2 obtuse angles in a triangle, their sum is more than 180°</span>

It is possible to have an obtuse-angled isosceles triangle, but the vertex angle must be obtuse and the equal base angles will be acute.

8 0
3 years ago
What is the number of roots for polynomial function of f(x) = (x^2 + 6)^2
Lena [83]

Answer:

x=±√6i

Step-by-step explanation:

(x^{2} +6)^{2} =0

x^{2}+6=0

x^{2} =-6

x=±√6i

5 0
3 years ago
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