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3 years ago

25 POINTS!!!! PLEASE HELP! What kind of problem is this and how do I solve it? PLEASE HELP ASAP

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

To solve the given quadratic equations, equate to zero, factorise and solve

given

x² - 19x + 48 = 0

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 19)

The required factors are - 3 and - 16, hence

(x - 3)(x - 16) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 16 = 0 ⇒ x = 16

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

given

x² + 21x - 100 = 0

Consider the factors of the constant term (- 100) which sum to give the coefficient of the x- term (+ 21)

The required factors are + 25 and - 4, hence

(x + 25)(x - 4) = 0

x + 25 = 0 ⇒ x = - 25

x - 4 = 0 ⇒ x = 4

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Can anyone solve this?

Olenka [21]

24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.

Step-by-step explanation:

Given,

Total number of students and teachers = 409

Students and teachers in each bus = 55

Students and teachers in each van = 12

Let,

x be the number of buses

y be the number of vans

55x+12y=409 Eqn 1

x = y+5 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$55(y+5)+12y=409\\55y+275+12y=409\\67y=409-275\\67y=134$

Dividing both sides by 67

$\frac{67y}{67}=\frac{134}{67}\\y=2$

Putting y=2 in Eqn 2

$x=2+5\\x=7$

Number of students and teachers who rode in vans = Number of vans * Teachers and student in each van

Number of students and teachers who rode in vans = 12*2 = 24

Number of students and teachers who rode in buses = 7*55 = 385

24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

How do you solve 7n + 2 = 4n + 17 ? please provide the steps on how to solve *EXTRA POINTS

Black_prince [1.1K]

Answer:

n=5

Step-by-step explanation:

First put the like numbers on the same sides. The n on one and the numbers on the other.

7n-4n=17-2

3n=15

n=5

7 0

3 years ago

Read 2 more answers

I'm stuck on this question, any ideas? thanks

True [87]

Answer:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}=-1/36$

Step-by-step explanation:

So we have the limit:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}$

Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\cdot (\frac{(6+x)(6)}{(6+x)(6)})$

Distribute:

$=\lim_{x \to 0} \frac{(6)-(6+x)}{x(6+x)(6)}$

Simplify the numerator:

$=\lim_{x \to 0} \frac{6-6-x}{x(6+x)(6)}\\=\lim_{x \to 0} \frac{-x}{x(6+x)(6)}$

Both the numerator and the denominator have an x. Cancel:

$=\lim_{x \to 0} \frac{-1}{(6+x)(6)}$

Direct substitution:

$= \frac{-1}{(6+0)(6)}$

Simplify:

$=-1/36$

And that's our answer.

And we're done!

8 0

3 years ago

Read 2 more answers

My mama is mad at me because I don't know how to do it can someone help me please it would mean a lot to help me understand what

GalinKa [24]

Aw haha i’m sorry lol

3 0

3 years ago

Explain the steps to measuring an angle using a protractor. How do you determine an angle’s measurement in degrees?

Margaret [11]

Hello

<span>Place the midpoint of the protractor on the VERTEX of the angle.Line up one side of the angle with the zero line of the protractor (where you see the number 0).<span>Read the degrees where the other side crosses the number scale.

Have a nice day</span></span>

6 0

3 years ago