Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?

[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]

Answer:

1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2

Step-by-step explanation:

If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.

So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.

Answer:

During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics

Prior to the invention of the Mathematical Symbols, mathematical equations were written in words.

For example, Y + 10 = 4.5 would be written as

The thing plus ten equal to eight.

It is true that MOST, that is, the majority of the mathematical symbols we have today were invented in the 16th century. Examples of such symbols are:

Prior to the 16th century, some mathematical signs were already in use. They are:

See the link below for more about Mathematical Signs:

https://brainly.com/question/11855662

Answer:

1.69

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(f/g)(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression

= [tex]\frac{2(2)}{3(2)-2}[/tex]

= [tex]\frac{4}{6-2}[/tex]

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

= 1

Answer:

the answer is 34.

Step-by-step explanation:

Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

Answer:

Step-by-step explanation:

For  

f(x) = 2x2-3x -5

For Part A

Set f(x) = 0

Factor the Quadratic

Set the factors = 0  

Solve each factor for x to find your x intercepts

For Part B

You need to use the coefficients in your Quadratic  

List them

a = 2 , b = -3 and c = -5

Since a is positive, your parabola opens up  

Find the x coordinate of the vertex it is -b/2a

One you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex

For Part C

You can plot the vertex, both x intercepts on a coordinate grid

Answer:

Its the first one (top left option)

Step-by-step explanation:

ur in a rush so i wont explain, pls give me brainliest

Answer:

12

Step-by-step explanation:

85%

Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.

If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:

0.85 * 100 = 85%

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

Answer:

1) 5.44, 2) 3.9

Step-by-step explanation:

1) a/b + 2b - a^2 when a = 1.4 and b = 0.2

plug in the values:

1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44

2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)

again, plug in the values:

2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9

Answer:

-10.9

Step-by-step explanation:

Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.

Divide -65.4 by the count of the numbers. (6)

Answer:

y=2/3x+11/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(-1-2)

m=-2/-3

m=2/3

y-y1=m(x-x1)

y-5=2/3(x-2)

y=2/3x-4/3+5

y=2/3x-4/3+15/3

y=2/3x+11/3

Answer:

I believe it'd 69.5

Step-by-step explanation:

if u use the equation 2x+5=134, you get 64.5 for Josh and 69.5 for eric

Answer:

15 marker's

Step-by-step explanation:

37+24=61

61÷4=15.25

because she wants an even number of makers the answer is 15.

Answer:

1

Step-by-step explanation:

First, find out what the product would be if you multiply 20 with the fraction:

(3 * 20)/5 = 60/5 = 12

12 = 12 ∴ (3/5)(20) = 12

As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.

Answer for the first question: There are 13 pieces of pie left.

Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.

3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.

1/2= 4 because you just divide 8 by 2.

3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.

Therefore, there are 13 pieces of pie left.

1. First, let's have the pieces have the same denominator: 8!

3/8 is already fine

1/2 = 4/8

3/4 = 6/8

Now add up the numerators: 13 pieces were eaten.

Since there are 3 pies, there's 24 pieces total

24 - 13 = 11

11 pieces are left over

2. First, 3/4 x 6 = 4.5

1 1/2 x 5 = 7.5

4.5 + 7.5 = 12

-5 + 12 = 7

At 5:00 pm, it was 7 degrees.

Hope this helps!

Answer:

= - 1/2

Step-by-step explanation:

6y+6.7=2.(y-3)

6y+42=2.(y-3)

6y+42=2y+2.-3

6y+42=2y-6

4y=-48

4y/4 = -48/4

y=-48/4

y=-12.4/1.4

y= -12

Answer:

  y = -12

Step-by-step explanation:

Generally, the first step is to eliminate parentheses.

  6y +42 = 2y -6

Now, you have a 3-step equation. I generally start by subtracting the variable term with the lowest coefficient. That leaves a variable term with a positive coefficient.

  4y +42 = -6 . . . . . . subtract 2y from both sides (step 1)

Now, you want to eliminate the constant from the side of the equation that has the variable term. Add its opposite.

  4y = -48 . . . . . . . . . add -42 to both sides (step 2)

Finally, you divide by the coefficient of the variable.

  y = -12 . . . . . . . . . . divide both sides by 4 (step 3)

The solution is y = -12.

_____

Additional comment

As you can see, the general approach is to obtain the variable on one side of the equation and a constant on the other side. You do this by performing the same math operation to both sides of the equation.

Here, we notice that the values outside parentheses are multiples of each other, so we can start by dividing by 2

  3(y +7) = y -3 . . . . . . divide both sides by 2

  3y +21 = y -3 . . . . . . . eliminate parentheses

Now, we can do steps 1 and 2 at the same time, by adding -21-y to both sides. This gets rid of unwanted variables and constants in one step. (Your teacher may want you to show separate steps.)

  (3y +21) +(-21 -y) = (y -3) +(-21 -y)

  2y = -24 . . . . . . . . . simplify

  y = -12 . . . . . . . . . . . divide by the coefficient of the variable (step 3)

Problem 1

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

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

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

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

Problem 2

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

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

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

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

Problem 3

30 feet; major axis

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

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

Answer:

$28,875

Step-by-step explanation:

First, we would have to find 10% of $25,000

10% of $25,000 = $2,500

Now, we have to add the 2 values together

$25,000 + $2,500 = $27,500

Now, we can find the shipping fee, since it includes the engineering fee

5% of $27,500 = $1,375

Now, we can add the shipping fee to find the total

$27,500 + $1,375 = $28,875

Answer:

4

Step-by-step explanation:

Substitute 3 for x and solve.

|3 - 5| + 2

=|-2| + 2

= 2 + 2 = 4

Answer:

76 m^2

Step-by-step explanation:

To find the area of the figure, you must divide the figure into multiple shapes. By dividing the figure into a 4 x 9 rectangle and a 5 x 8 rectangle, you can calculate the area of these two figures and add them together. After doing this, your answer should be 76 m^2.

Answer:

1 2/3

Step-by-step explanation:

1 and 2/3

Area

[tex]\\ \tt\longmapsto \dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|(-2)(3+5)+(4)(-5-1)+(-2)(1-3)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-16-24+4|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-36|[/tex]

[tex]\\ \tt\longmapsto 18units^2[/tex]