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Furkat [3]
4 years ago
8

Show how you can make ten to find the sum 9 + 2 equal

Mathematics
1 answer:
Fudgin [204]4 years ago
4 0
You can add 9+1 then make ten and add 10 +1
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Let p: The integer has one digit. Let q: The integer is less than 10. Which represents "The integer has one digit if and only if
Vinil7 [7]

The double implication "if and only if" is graphically represented by an arrow pointing in both direction, so the correct writing is

p \iff q

8 0
3 years ago
If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house pay
ivolga24 [154]

Answer:

The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%

6 0
3 years ago
Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

    f(x)=x^{2}-8 x+24

To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

  y=a x^{2}+b x+c

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

     x=\frac{-(-8)}{2(1)}=4

The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24

f(x)=(x-4)^{2}+8

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0
3 years ago
A truck drove 208 miles on 5 gallons of gas. How far should it be able to go on a full, 11-gallon tank?
nexus9112 [7]

Answer:

457.6

Step-by-step explanation:

if he drove 208 on 5 gallons, 208/5 =41.6 miles per gallon. 41.6*11= 457.6

6 0
2 years ago
Read 2 more answers
Write a polynomial to represent the perimeter of a rectangle with sides 2x+1 and 3x
otez555 [7]
The answer would be : 5x+1
Just add 2x and 3x
6 0
3 years ago
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