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Burka [1]
3 years ago
9

Please please please please help

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

x^2 +4x +3

Step-by-step explanation:

f(x)=x²-1

g(x)= x+2

f(g(x)) =f(x+2)

=(x+2)²-1

=x²+4x+4-1

=x²+4x+3

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Solve the equation :<br>-3 • ( 2 - x ) + 4 = 2 • ( 1 - 2x) + 3<br>thanks :) ​
kakasveta [241]

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  1

-6+3x+4=2-4x+3

-8+7x+1=0

7x=7

x=1

4 0
3 years ago
Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s
Lilit [14]

Answer:

y-2=\displaystyle -\frac{3}{4}(x-1)

OR

y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

Step-by-step explanation:

Hi there!

Point-slope form: y-y_1=m(x-x_1) where <em>m</em> is the slope of the line and (x_1,y_1) is a given point

Given that the slope is -3/4, we can plug it into y-y_1=m(x-x_1) as <em>m</em>:

y-y_1=\displaystyle -\frac{3}{4}(x-x_1)

We can also plug in the given point (1,2):

y-2=\displaystyle -\frac{3}{4}(x-1)

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate <em>y</em>:

y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

I hope this helps!

8 0
2 years ago
Two boys decided to buy a computer. The second boy had 5 6 of the money the first had. The first boy had 7 8 of the price of the
sdas [7]

Answer: The price for the computer = $1152

Step-by-step explanation:

Let the first boy = F

Let the second boy = S

Let the price of computer = C

The second boy had 5/ 6 of the money the first had. I.e

S = 5/6 F

Then F = 6/5S ......(1)

The first boy had 7 /8 of the price of the computer. That is

F = 7/8C ....... (2)

Substitute F in (1) into (2)

6/5S = 7/8C

S = 5/6 × 7/8C

S = 35/48C ......(3)

Together they had $696.00 more than they need to pay. That is

F + S = C + 696 ........ (4)

Substitute equation 2 and 3 into 4

7/8C + 35/48C = C + 696

0.875C + 0.729C = C + 696

0.604C = 696

C = 696/0.604

C = 1152 dollars

Therefore, the price for the computer = $1152

7 0
3 years ago
Read 2 more answers
How to solve this question #4 ?
gayaneshka [121]
This question is a piece-o-cake if you know the formulas for the area and volume of a sphere, and impossible of you don't.

Area of a sphere = 4 π R²  (just happens to be the area of 4 great circles)

Volume of a sphere = (4/3) π R³

We know the area of this sphere's great circle, so we can use the
first formula to find the sphere's radius.  Then, once we know the
radius, we can use the second formula to find its volume.

Area of 4 great circles = 4 π R²

Area of ONE great circle = π R²

           225 π cm²  =  π R²

               R²  =  225 cm²

               R  =  √225cm²  =  15 cm .

Now we have a number for R, so off we go to the formula for volume.

         Volume  =  (4/3) π R³

                      =  (4/3) π (15 cm)³

                      =  (4/3) π (3,375 cm³)

                       =      14,137.17  cm³      (rounded)

This answer feels very good UNTIL you look at the choices.
_____________________________________________________

I've gone around several loops and twists trying to find out what gives here,
but have come up dry.

The only thing I found is the possibility of a misprint in the question:  

If the area of a great circle is 225π cm², then the sphere's AREA is 900π cm².

I'm sure this is not the discrepancy.  I'll leave my solution here, and hope
someone else can find why I'm so mismatched with the choices.
5 0
3 years ago
Read 2 more answers
What is the pattern as the exponents decrease?
qwelly [4]

Answer:

divide the previous value by 5

Step-by-step explanation:

5^2=25, 5^1=5, 25/5=5

3 0
2 years ago
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