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3 years ago

Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?

Mathematics

2 answers:

Anit [1.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

we have that

$f(x) = x^2 + x - 9$

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0) and (2.5, 0)

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

k0ka [10]3 years ago

3 0

Answer:

(-6,0)(-5,0)

Step-by-step explanation:

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2 x - 5 + 7 y - 3 = 9 x - 1 - y -8 Solve For X AND Y (SHOW WORK PLEASE)

Maru [420]

Answer:

$\large\boxed{\sf x = \frac{8y+1}{7} }$

$\large\boxed{\sf x = \frac{7x-1}{8} }$

Group the Variable's:

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8

2x -9x + 7y +y = -1 -8 +5 + 3

-7x + 8y = -1

From this find x and y

For X

-7x + 8y = -1

-7x = -1 -8y

7x = 8y + 1

x = (8y +1)/7

For Y

-7x + 8y = -1

8y = -1 +7x

y = (7x -1)/8

3 0

2 years ago

Read 2 more answers

If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g•h)(-3)?

jek_recluse [69]

Answer:

8/5

Step-by-step explanation:

First find h(-3)

h(-3)= 4-(-3) = 4+3 = 7

Then take this result and find g(h(-3)) = g(7)

g(7) = (7+1)/( 7-2) = 8/5

8 0

3 years ago

What is the definition of union and intersection

Mkey [24]

Step-by-step explanation:

the union of two sets is a new sets that contains all of the elements that are in at least one or two sets and written as (A U B)

while intersection of two sets is a new set that contains all of the elements in both sets and written as (A n B)

3 0

3 years ago

Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cual

murzikaleks [220]

Answer:

Primer número = x = 85

Segundo número = y = 255

Tercer número = z = 510

Step-by-step explanation:

Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.

Representamos:

Primer número = x

Segundo número = y

Tercer número = z

Se sabe que la suma de tres números es 850.

x + y + z = 850 ...... Ecuación 1

El primero es un tercio del segundo

x = 1/3 años

El tercer número es el doble del segundo.

z = 2 años

Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1

1 / 3y + y + 2y = 850

y / 3 + 3y = 850

Multiplica ambos lados por 3

y + 9y = 850 × 3

10 años = 2550

y = 2550/10

y = 255

Resolviendo para x

x = 1/3 años

x = 1/3 × 255

x = 85

z = 2 años

z = 2 × 255

z = 510

Por eso,

Primer número = x = 85

Segundo número = y = 255

Tercer número = z = 510

5 0

3 years ago

Two identical jars are filled with equal numbers of marbles. The marbles are colored red or white. The ratio of red to white mar

IrinaK [193]

Let $a=$ the number of white marbles in Jar 1
Let $b=$ the number of white marbles in Jar 2
Total number of white marbles is $a+b=90$

Jar 1 has $a$ white marbles and $7a$ red marbles so $8a$ marbles total
Jar 2 has $b$ white marbles and $9b$ red marbles so $10b$ marbles total
Since both jars have equal amounts of marbles, $8a=10b$

We have a system of equations:
$a+b=90$
$8a=10b$

The number of red marbles in Jar 2 is $9b$ so we solve for $b$

$8a=10b$
⇒ $a=\frac{5}{4}b$
⇒ $\frac{5}{4}b+b=90$
⇒ $\frac{9}{4}b=90$
⇒ $b=40$
Number of red marbles in Jar 2 is $9b=360$

So there are 360 red marbles in Jar 2.

8 0

3 years ago