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Paraphin [41]
3 years ago
8

Solve the following quadratic equation for all values of x in simplest form. 4(3x - 5)^2+5 = 13 (will give brainly)

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

4(3x-5)^2+5=13

4(3x-5)^2+5-13=0

As  (a-b)^2=a^2-2ab+b^2

4((3x)^2-2(3x)(5)+(5)^2)-8=0

4(9x^2-30x+25)-8=0

36x^2-120x+100-8=0

36x^2-120x+92=0

using the Quadratic Formula where

a = 36, b = -120, and c = 92

x=(−bc± sqrt(b^2-4ac))/2a

x=(-(-120)±sqrt((−120)^2−4(36)(92))/2(36)

=120±sqrt(14400−13248−)/72

=120±sqrt(1152)/72

The discriminant b2−4ac>0

so, there are two real roots.

x=(120±24sqrt(2))/72

x=(120/72)±24sqrt(2)/72

implify fractions and/or signs:

x=5/3±sqrt(2)/3

hich becomes

x=2.13807

x=1.19526

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PLEASE HELP I REALLY NEED IT!!!! WORTH 100 POINTS
-Dominant- [34]

Answer:

Question 1 : The answer is 143.3 miles

Question 2 : The answer is 120 minutes

Step-by-step explanation:

1.Based on the give conditions:

43 \times 90 \div 27 \\ calculate \frac{43 \times 90}{27}  =  \frac{430}{3}= 143.3

2. 90 miles = 75min

143.3 ÷ 90 = 1.6

75 × 1.6 = 120

so the answer is 120 min

3 0
1 year ago
Find the slope of the line that passes through (4,2) and (9,1)?
pshichka [43]

Answer:

The slope of the line is \displaystyle -\frac{1}{5}.

Step-by-step explanation:

We are given two coordinate points:

  • (4, 2)
  • (9, 1)

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

(x_1, y_1), (x_2, y_2)

Therefore, we can also label our coordinates as such:

  • x_1 = 4
  • y_1 = 2
  • x_2 = 9
  • y_2 = 1

Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}

Therefore, our slope is \displaystyle -\frac{1}{5}.

8 0
3 years ago
Read 2 more answers
Principal clements wants to buy a pencil for each of the 57 fourth graders in her school. The pencils come in packages of 6. How
Scrat [10]

Principal clements needs to buy 10 packages

<em><u>Solution:</u></em>

Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school

The pencils come in packages of 6

Therefore,

Total number of students = 57

<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>

\text{Number of packages } = \frac{\text{total number of students }}{6}<em><u></u></em>

<em><u>Substituting the given values we get,</u></em>

\text{Number of packages } = \frac{57}{6} \\\\\text{Number of packages }= 9.5 \approx 10

Thus principal clements needs to buy 10 packages

8 0
2 years ago
.i need help with math
Setler [38]

What’s the question?
6 0
3 years ago
Read 2 more answers
A bird weighs 10 N and is standing 3 m up whats its GPE
umka2103 [35]

Answer:

30 J

Step-by-step explanation:

Given : -

Height ( h ) = 3m

Weight ( W ) = 10 N

To find : GPE = ?

Note : -

GPE is Gravitational Potential Energy.

It is expressed in Joules ( J ).

Formula : -

W = mg

mg = 10 N

Formula : -

GPE = mgh

GPE = 10 x 3

GPE = 30 J

Therefore,

A bird weighs 10 N and is standing 3 m, it's

GPE is 30 J.

5 0
2 years ago
Read 2 more answers
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