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ElenaW [278]
3 years ago
13

I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER!

Mathematics
1 answer:
pentagon [3]3 years ago
3 0

Answer:

A) -4

B) 4 units apart

C) no values of x

Step-by-step explanation:

1) slope of m: (3-2)/(10-8) = ½

m(x) = ½x + c

2 = ½(8) + c

c = -2

m(x) = ½x - 2

m(16) = 6

h(4) = (4-2)²/2 = 4/2 = 2

h(4)-m(16) = 2-6 = -4

B) y-intercept of:

*h(x) = ½(0-2)² = 2

*m(x) = -2

from the equation found before

2 - (-2) = 4 units apart

C) m(x) = (x-4)/2

m(x) > h(x)

(x-4)/2 > ½(x-2)²

x-4 > x²-4x+4

x²-5x+8 < 0

(x - 2.5)² + 1.75 < 0

Never negative

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hodyreva [135]
Let, the time when <span>Jan cough up to Carol = x

We know, Distance = Speed * Time.

So, Equation would be: 2x + 5*2 = 6x

2x + 10 = 6x

6x - 2x = 10

4x = 10

x = 10/4 = 2.5

Distance traveled in that time = 2.5 * 6 = 15 miles

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Hope this helps!</span>
4 0
3 years ago
What is the product in simplest form? −5/12 ⋅ 8/13 Please answer
shusha [124]
Here is your answer:

-5×8=-40÷2=20÷2=10
12×13=156÷2=78÷2=39

Your answer is:
10/39
8 0
4 years ago
Read 2 more answers
A gaming system costs $150.
lara [203]

Answer: $105

Step-by-step explanation:

origional price multiplied by discount = x/ 100

150 x 30 = 4500/ 100= 45$ off

150- 45= 105

3 0
3 years ago
SI UN NUMERO SE MULTIPLICA POR 7, EL RESULTADO ES IGUAL AL NUMERO AUMENTADO EN 24. ¿ CUAL ES EL NUMERO? 7 . X : X + 24
andre [41]

Answer: El número es 4.

Step-by-step explanation:

Sea X un número.

Acá tenemos:

"Si un número se multiplica por 7"

Esto se escribe como 7*X

"... El resultado es igual al número aumentado en 24"

Esto lo podemos escribir como:

7*X = X + 24

Ahora debemos resolver esta ecuación para X.

7*X = X + 24

Primero, debemos llevar todos los términos con X al mismo lado de la ecuación, para hacer esto, podemos restar X en ambos lados:

7*X - X = (X + 24) - X

6*X = 24

Ahora debemos dividir ambos lados por 6.

6*X/6 = 24/6

X = 4

El número es 4.

6 0
3 years ago
lauren is designing a metal sculpture that contains a triangle with sides of 4 inches and 11 inches. She is trying to determine
lesya692 [45]

Answer:

7 < x

Step-by-step explanation:

Let

x ----> the length of the third side of triangle in Lauren's sculpture

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the Triangle inequality Theorem

1) 4+11 > x

15 > x

Rewrite

x< 15\ in

2) 4+x > 11

x> 11-4\\x> 7\ in

therefore

The possible values of x are

7\ in < x

4 0
3 years ago
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