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Answer:

B and D

Step-by-step explanation:

Answer:

(a) x=1.5 or  x=-4.5

(b) x=-1

(c) x=10  or  [tex]x=\frac{4}{3}[/tex]

Step-by-step explanation:

(a) |2x+3|=6

⇒ 2x+3=6  or  2x+3=-6

⇒ 2x=3 or  2x=-9

⇒ x=1.5 or  x=-4.5

(b) |x-2|=x+4

⇒ x-2=x+4  or  x-2=-(x+4)

x-2=x+4  

-2≠4 x∈Ф

or  x-2=-(x+4)

x-2=-x-4

2x=-2

x=-1

(c) |2x-7|=|x+3|​

⇒ 2x-7=x+3  or  2x-7=-(x+3)

2x-7=x+3

x=10

or  2x-7=-(x+3)

2x-7=-x-3

3x=4

[tex]x=\frac{4}{3}[/tex]

The solutions of modulus equations are shown below:

(a) x=1.5 or x=-4.5

(b) x=-1

(c) x=10 or x=4/3  

Step-by-step explanation:

(a) |2x+3|=6

⇒ 2x+3=6 or  2x+3=-6

⇒ 2x=3 or 2x=-9

⇒ x=1.5 or x=-4.5

(b) |x-2|=x+4

⇒ x-2=x+4 or  x-2=-(x+4)

⇒x-2=x+4  

⇒-2≠4 x∈Ф

or  x-2=-(x+4)

⇒x-2=-x-4

⇒2x=-2

⇒x=-1

(c) |2x-7|=|x+3|​

⇒ 2x-7=x+3 or  2x-7=-(x+3)

⇒2x-7=x+3

⇒x=10

or 2x-7=-(x+3)

⇒2x-7=-x-3

⇒3x=4

⇒x=4/3

Therefore, the solution of modulus equation are as:

(a) x=1.5 or x=-4.5

(b) x=-1

(c) x=10 or x=4/3  

To learn more about "Modulus function" here:

brainly.com/question/13586158

Answer:

$2

Step-by-step explanation:

step 1: 12-6=6

Step2: 6 divided by 3

Answer:

No

Step-by-step explanation:

since 5/6 is not a whole it should be a little less than 5

Answer:

D

Step-by-step explanation:

Answer:

empirical evidence that planters ignored the fact that formerly enslaved people wanted to work their own land

Answer:

mean:-3

median:5

mode: all values appeared once  

range:169

Step-by-step explanation:

Step-by-step explanation:

So, Start with the formula

V= pi ×R² × H

V= pi × 9² × 2

V= pi × 81 × 2

V = 162 pi in³

Then ×2 = 342 in³

required volume =162π or 508.94or 509in³

Answer:

solution given:

radius (r)=9in

height(h)=2 in

we have

volume [V]=πr²h=π×9²×2=162π or 508.94in³

Answer:

49 square unit

Step-by-step explanation:

its a square thus all sides are equal

area = side × side

7×7

49square unit

Answer:

28

Step-by-step explanation:

its 7 ft long and it's a square squares have equal sides so 7 × 4 is 28

Answer:

(13-8)

Step-by-step explanation:

It is in parenthesis which is the first thing you complete because PEMDAS ✨

the answer must be (13-8)

Answer:

Step-by-step explanation:3% of $10,000 is $300.

Answer:

One of the angles is 42 degrees the other one is the same.

To find the missing angle you need to subtract the 2 angles with 90 and what you get is the missing angle so

42 - 42 - 90 = 90

I believe this is the right answer my bad if its not

Answer:

[tex] 40 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]

[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]

[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]

[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]

[tex] = \dfrac{81}{2} [/tex]

[tex] = 40 \frac{1}{2} [/tex]

Answer:

4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

m∠LOM=48°

Step-by-step explanation:

∠LON=180° AND ∠LON=∠LOM+∠MON

⇒ 7x-92+6x+12=180

⇒13x=180+92-12

⇒x=20

m∠LOM=7x-92°=140°-92°=48°

Answer:

$10.71

Step-by-step explanation:

$1.19 * 9 = $10.71

Answer:

Ron has 15 nickels and 9 quarters

Step-by-step explanation:

Create a system of equations where n is the number of nickels and q is the number of quarters he has:

n + q = 24

0.05n + 0.25q = 3

Solve by elimination by multiplying the top equation by -0.25

-0.25n - 0.25q = -6

0.05n + 0.25q = 3

Add them together and solve for n:

-0.2n = -3

n = 15

So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:

24 - 15

= 9

So, Ron has 15 nickels and 9 quarters.

Answer:

More infomation.

Step-by-step explanation:

Answer:

The null hypothesis is that there is no difference in the mean number of male and female cats

H₀; μ₂ - μ₁ = 0

Step-by-step explanation:

The given parameters are;

The given percentage of male stray cat population = 50%

The given percentage of female stray cat population = 50%

The number of areas the researcher visits, n = 15

The number of stray male cats he finds = 11

The kind of test to be performed = Sign test

The significance level, α = 0.05

A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.

Answer:

4

Step-by-step explanation:

20 ÷ 5 = 4

Answer:

47

Step-by-step explanation:

This is my work: -10 does not equal 3, so therefore there is no solution

Answer: 2/3

Step-by-step explanation:

Rise over run shows it on average goes up 2 and over 3. 2 on top for rise, 3 on bottom for run. Hope it helps! Don't click on shady links

Answer:

<DBE is 25.5

<ABE=115.5

Step-by-step explanation:

<DBE is 90-64.5 because DBC is a right angle

<DBE is 25.5

<ABE= 90+25.5 because ABD is a right Angle and DBE is 25.5

<ABE=115.5

Answer:

at least 2 angles are congruent

Step-by-step explanation:

isoseles triangles have two congruent opposite angles such as 70 70 40

Answer:

9.42 i think

Step-by-step explanation:

radius is 1.5 height is 4 so

V=1/3nr^2h

V=1/3n(1.5)^2(4)

V=1/3n(2.25)(4)

V=9.42

Hope this helps :)

Answer: b≤3

Step-by-step explanation:

Answer:

3 ≥ b

Step-by-step explanation:

You need to work this out like an algebraic equation

So think of it like this...

9 = 3b

9/3 = 3b/3

3=b

Add the symbol back into the equation

And you get: 3 ≥ b

Answer:

[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]

Step-by-step explanation:

[tex] x^2 - 5x = 8 [/tex]

[tex] x^2 - 5x + \dfrac{25}{4} = 8 + \dfrac{25}{4} [/tex]

[tex] (x - \dfrac{5}{2})^2 = \dfrac{57}{4} [/tex]

[tex] x - \dfrac{5}{2} = \pm \sqrt{\frac{57}{4}} [/tex]

[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]