Solve for x:
4 - 2(x - 3) = 24
please help

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

[tex]y = -x^2 + 10x - 8[/tex]

Required

The point where the trestle gets to the ground level

To do this, we set [tex]y = 0[/tex]

So, we have:

[tex]-x^2 + 10x - 8 = 0[/tex]

Multiply through by -1

[tex]x^2 -10x + 8 = 0[/tex]

Solve using quadratic formula:

[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 1; b =-10; c = 8[/tex]

So, we have:

[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]

[tex]x= \frac{10 \± 8.25}{2}[/tex]

Solve the fraction

[tex]x= 5 \± 4.125[/tex]

Split

[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]

[tex]x= 9.125\ or\ x= 0.875[/tex]

Answer:

4 is the range of the function

Rational

OPTION A is the correct answer

Answer:

A is the correct answer! :)

Step-by-step explanation:

have a nice day!~

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\9^{10}*9^{x}=9^{10+x}[/tex]

In exponent multiplication, if the bases are same then add the exponents.

[tex] \small \sf \leadsto 9 {}^{10 +x} [/tex]

Step-by-step explanation:

Using exponent's product rule

[tex] \small \sf \: x {}^{n} \times x {}^{m} = x {}^{n + m} [/tex]

[tex] \small \sf \leadsto \: 9 {}^{10} \times 9 {}^{x} [/tex]

[tex] \small \sf \leadsto 9 {}^{10 + x} [/tex]

Answer:

Step-by-step explanation:

Answer:

11/3

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:

 3 3 ⟌ 9    

Step 2:

The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:

       0    

 3 3 ⟌ 9    

Step 3:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

       0    

 3 3 ⟌ 9    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.

       0    

 3 3 ⟌ 9    

     - 0    

       9    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 9 divided by 33 calculated using Long Division is:

0

9 Remainder

I think its the second one.  I hope it is

Answer:

6500

Step-by-step explanation:

y = 6500(0.875)^x

When bought x = 0

y = 6500(0.875)^0

A number raise to 0 equals 1

y = 6500 * 1

y = 6500

Answer:

[tex]{ \tt{ \frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} } }} \\ = { \tt{ \frac{3.6}{1.2} \times \frac{ {10}^{8} }{ {10}^{3} } }} \\ = 3 \times {10}^{5 } \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

I believe its c $1520 overall there's only a decrease of 5%

Answer:

The value of the investment on August 1st is $1,512.

Step-by-step explanation:

To find the value of the percentage decreased by the percent of its value, simply subtract a number to a percent. To find the value of the percentage increased by the percent of its value, add a number to the percent. In this case, the value of the investment started with $1,600 and then it decreased by 10%. We can write our equation like this: 1,600 - 10% = ?. Don't think about turning 10% into 0.1. You could do that, but it wouldn't result in the answer as the value decreased by 10%. It would turn out to be 1,599.9 if you did subtract 1,600 by 0.1. It is NOT the value DECREASED by 10%. I think some people would mistakenly go on to that path but please don't. You will NOT recieve an accurate answer. Following the equation, you should get $1,440. That is the investment made during the month of June decreased by 10%.

During the month of July, the value INCREASED by 5%. Similar to the percentage decreased equation, we just turn the subtraction symbol into an addition symbol. Do the same process again but with an addition symbol and the NOW value of $1,440. You should get $1,512 as your final answer. If you are confused about how I got this answer, look at this equation for percentage increased: 1,440 + 5% = ?. If I am wrong, please let me know and I hope this helps! :D

Answer:

Step-by-step explanation:11/5 x 3 =6.6 4/5 x 1 =0.8

Answer:

OPTION B 11 is the correct option

Answer:

there are 8 for any four leg creatures : there are 4 for a human

Step-by-step explanation:

Answer:

4 pound

Step-by-step explanation:

From the question :

2 gallons of water = 8 pound bag

Number of pound bag per gallon of water ;

Let the number of pound = x

Using cross multiplication, we'll have :

2 gallons = 8 pounds

1 gallon = x pounds

Cross multiply

2x = 8

x = 8 /2

x = 4

Hence, 1 gallon of water mixes 4 pound bag of concrete.

Answer:

I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.

Step-by-step explanation:

I hope this helped let me know!

Answer:

x-5

x-2

Step-by-step explanation:

Questions 1:

√(x²-10x+25)

x²-10x+25= (x-5)²

√(x-5)²= x-5

question 2:

x²-4x+4= (x-2)²

√(x-2)²= x-2

Step-by-step explanation:

the answer is in the above image

The value 2.75 goes in the first box, since it's the first term.

The expression [tex]0.69*a_{n-1}[/tex] goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"

Answer:

x = 0     y = 2

Step-by-step explanation:

4x + 2 = -2x + 2

6x + 2 = 2

6x = 0

x = 0

y = 4(0) + 2

y = 2

Answer:

[tex]0.47 \to 2\ digits[/tex]

[tex]3.2 \to 1\ digit[/tex]

[tex]Product \to 3\ digits[/tex]

Step-by-step explanation:

Given

[tex]0.47 * 3.2 =[/tex]

See comment for complete question

Required

The number of decimal places

To do this, we simply calculate the number of digits after the decimal points

[tex]0.47 \to 2\ digits[/tex]

[tex]3.2 \to 1\ digit[/tex]

The product is the sum of the digits above 2 + 1 = 3

Hence:

[tex]Product \to 3\ digits[/tex]

========================================================

Explanation:

The vertex of f(x) is (-3,4)

The vertex of -f(x) is (-3,-4). Note the y coordinate flips in sign. This is effectively because y = f(x).

Shifting the vertex down 2 units will get us to g(x) = -f(x)-2

So that's how we end up with (-3, -6)

Answer:

there not the same and eqjral

Step-by-step explanation:

every polgon and has an are of cm^2

92cm^2

Answer:

V = 211.56 mm

Step-by-step explanation:

The volume of a pyramid :

V = 1/3(Lenght * width * height)

Length = 9mm

Width = 8.2 mm

Height = 8.6 mm

Hence, we have ;

V = 1/3(9 * 8.2 * 8.6)

V = 1/3 * 634.68

V = 211.56 mm

Answer:

x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)

Step-by-step explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

[tex](0)-6=4(x+5)[/tex]

Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]

[tex]4(x+5)=(0)-6[/tex]

Subtract 6 from 0.

[tex]4(x+5)=-6[/tex]

Divide each term in [tex]4(x+5)=-6[/tex] by 4.

[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]

Cancel the common factor of 4.

[tex]x+5=\frac{-6}{4}[/tex]

Simplify [tex]\frac{-6}{4}[/tex]

[tex]x+5=-\frac{3}{2}[/tex]

Subtract 5 from both sides of the equation.

[tex]x=-\frac{3}{2} -5[/tex]

To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]

[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]

Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].

[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]

Combine the numerators over the common denominator.

[tex]x=\frac{-3-5*2}{2}[/tex]

Simplify the numerator.

[tex]x=\frac{-13}{2}[/tex]

Move the negative in front of the fraction.

[tex]x=-\frac{13}{2}[/tex]

x = [tex](-\frac{13}{2} ,0)[/tex]

-----------------------------------------------------------------------------------------------------

Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

[tex]y-6=4((0)+5)[/tex]

Add 0 and 5.

[tex]y-6=4 *5[/tex]

Multiply 4 by 5.

[tex]y-6=20[/tex]

Add 6 to both sides of the equation.

[tex]y=20+6[/tex]

Add 20 and 6.

[tex]y=26[/tex]

y = (0, 26)

Answer:

Your answer is 15.

Step-by-step explanation:

I've done this before and got it right

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

15^2+8^2=missing side^2

225+64=missing side^2

[tex]\sqrt{289[/tex]=missing side

17=missing side