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Evgen [1.6K]
3 years ago
13

Find the value x ? (2x -10degree) (3x +20degree)​

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

If we do square on both sides we get two answers i.e. (x+12)^2=(3x+20)^2

(x^2)+24x+144=(9x^2)+120x+400

(8x^2)+96x+256=0

(x^2)+12x+32=0

(x+4)(x+8)=0

x= -4 or x= -8.

Else we have another method

x+12=3x+20

x+12–20=3x

x-8=3x,

Now square on both sides.

(x-8)^2=(3x)^2

x^2–16x+64=(9x^2)

(9x^2)-(x^2)+16x-64=0

(8x^2)+16x-64=0

(x^2)+2x-8=0

(x+4)(x-2)=0

x= -4 or x= 2.

But It Didn’t Satisfy for The Equation When

x=2 or x= -8,So The Value of x will be -4 which satisfies given question.

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An investment that you bought for __________ and sold for __________ made a profit. A. $1250; $1500 B. $1250; $1000 C. $1500; $1
coldgirl [10]
A. $1250; $1500 because if you bought something for $1250 and sold it for $1500 you would be gaining $250
3 0
3 years ago
Help! I am trying to Simplify: 5√24
12345 [234]

Answer:

this might help better

Step-by-step explanation:

5√24

=10√6(Decimal: 24.494897)

4 0
3 years ago
2x^2 + 7x + 5 = (x + 1) (?)
seraphim [82]

Answer:

(2x+5)

Step-by-step explanation:

2x^2 + 7x + 5 = (x + 1) (?)

Must multiply to 10 and add to 7:

5 and 2

(2x^2+2x)(5x+5)

2x(x+1)5(x+1)

(2x+5)(x+1)

Hope this helps! Please mark brainliest :)

4 0
3 years ago
Haley has enlarged a 3-inch by 5-inch picture so that both the length and width are tripled. The area of the enlarged photo is h
77julia77 [94]

Answer:

9 times

Step-by-step explanation:

Area = length x breadth

area of picture not enlarged = 3 x 5 = 15in²

If length is tripled it becomes , 3 x 3 = 9in

If width is tripled, it becomes , 5 x 3 = 15in

Area of enlarged picture = 9in x 15in = 135in²

amount by which enlarged image is larger = 135in² /15in² = 9

5 0
3 years ago
A grocery store has an average sales of $8000 per day. The store introduced several advertising campaigns in order to increase s
Ann [662]

Answer:

a) Z= 0.0228

b) based on the critical value, it is a one tailed test

c) Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.

This implies that the advertising campaign has been effective in increasing sales.

Step-by-step explanation:

The null hypothesis is H₀ : µ = 8000

The alternative hypothesis is H₁ : µ ˃ 8000

Mean (µ) = 8000

Standard deviation (σ) = 1200

n = 64

We will use the Z test to test the hypothesis

Z = (X - µ)/ (σ/√n)

Z = (8300 – 8000)/ (1200/√64)

Z = 300/ (1200/8)

Z = 300/ 150

Z= 2

From the normal distribution table,

2 = 0.4772

Φ(z) = 0.4772

Since Z is positive,

P(x˃a) =0.5 - Φ(z)

= 0.5 – 0.4773

= 0.0228

The required P-value = 0.0228

The P-value of one tail Z test at α= 0.05 level of significance

P-value = p(Z˃2.5)

= 0.0228

Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.

This implies that the advertising campaign has been effective in increasing sales.

3 0
3 years ago
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