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arsen [322]
3 years ago
8

12x + 7 < -11 AND 5x – 8 > 40

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

x and x> 9\frac{3}{5}

Step-by-step explanation:

12x+7<-11 subtract 7 from both sides 12x<-18 divide both sides by 12 x<1.5

5x-8>40 add 8 to both sides 5x>48 divide both sides by 5 x>9.6

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Answer:

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Step-by-step explanation:jjffgjgb

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3 years ago
2. Lupita deposits $34,890 in an account that pays 3.2% simple interest. She keeps the money in
Andre45 [30]

Answer:

34890*3.2%*3=$3349.44

3349.44+34890=$38239.44

3 0
3 years ago
A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0
3 years ago
Jonathan had a balance of $120 dollars in his bank account at the beginning of the month. During the first week of the month he
tiny-mole [99]

Answer:

$47

Step-by-step explanation:

$120 starting out and he spent $45 + $28 of that $120

so 120-45+28=47

7 0
3 years ago
Write an equation in slope intercept form for the line with slope negative three fourths and y intercept of negative one
Stells [14]

The slope intercept form is y=-\frac{-3x}{4}-1.

Solution:

Given data: slope = -\frac{3}{4} and y-intercept = –1

y-intercept means (x, y) = (0, –1)

Equation of a line for slope intercept form: y-y_1=m(x-x_1)

Here, x_1=0, y_1=-1 and m=-\frac{3}{4}.

⇒ y-(-1)=\frac{-3}{4} (x-0)

⇒ y+1=\frac{-3}{4} (x)

Do cross multiplication.

⇒ 4(y+1)=-3x

⇒ 4y+4=-3x

⇒ 4y=-3x-4

Divide both sides of the equation by 4.

⇒ y=-\frac{-3x}{4}-\frac{4}{4}

⇒ y=-\frac{-3x}{4}-1

Hence the slope intercept form is y=-\frac{-3x}{4}-1.

3 0
3 years ago
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