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2 years ago

14x=x^2-15 find the value of x

Mathematics

1 answer:

hram777 [196]2 years ago

5 0

Answer: $x=-1, 15$

Step-by-step explanation:

$x^2 -14x-15=0\\\\(x-15)(x+1)=0\\\\x=-1, 15$

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Herman saves 22% of his monthly paycheck so he can buy a new car. He earned $825 last month. How much money did Herman save for

djyliett [7]

Answer:$181.5

Step-by-step explanation:

8 0

3 years ago

3/11 de una caja contiene 18 galletas, cuantas galletas contiene una caja?

Fynjy0 [20]

Answer:

66 galletas

Step-by-step explanation:

Si 3/11 de una caja contiene 18 galletas entonces matematicamente significa que:

$\frac{3}{11}g=18$

Donde g son las galletas, ahora vamos a aislar la variable g:

$\frac{3}{11}g=18\\\\(\frac{11}{3}) \frac{3}{11} g=18 (\frac{11}{3})\\\\g= \frac{198}{3}=66$

Entonces una caja contiene 66 galletas

3 0

3 years ago

20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an

STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

$n(A)=14$

$n(B)=11$

$n(A\cup B)=20$

We know that,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=14+11-n(A\cap B)$

$20=25-n(A\cap B)$

Subtract both sides by 25.

$20-25=-n(A\cap B)$

$-5=-n(A\cap B)$

$5=n(A\cap B)$

We need to find the number of people who have a school certificate only, i.e. $n(A\cap B')$ .

$n(A\cap B')=n(A)-n(A\cap B)$

$n(A\cap B')=14-5$

$n(A\cap B')=9$

Therefore, 9 people have a school certificate only.

3 0

3 years ago

The system of equations is graphed on the coordinate plane. y=−12x−1y=14x−4 A graph with a blue line passing through coordinates

Anika [276]

We have that

case 1)
system of equations is
y=−12x−1
y=14x−4

using a graph tool
see the attached figure

the solution of the system is the point (0.115,-2.385)

case 2)
system of equations is
blue line passing through coordinates A (0, -4) and B (4, -3)
red line passing through coordinates C(0, -1) and D (4, -3)

using a graph tool
see the attached figure

the solution of the system is the point (4,-3)

8 0

3 years ago

Which of the following has six faces?

Goryan [66]

Answer:

Step-by-step explanation:

Hexa means six, so a hexahedron is a figure with six faces. Therefore, choice D is the correct answer.

7 0

3 years ago