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CaHeK987 [17]
3 years ago
6

Find the solution set:

Mathematics
2 answers:
Mars2501 [29]3 years ago
6 0

Answer:

Step-by-step explanation:

9x²+4x-5=0

9x²+9x-5x-5=0

9x(x+1)-5(x+1)=0

(x+1)(9x-5)=0

x=-1,5/9

vazorg [7]3 years ago
5 0

Answer:

x = - 1, x = \frac{5}{9}

Step-by-step explanation:

Given

9x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 9 × - 5 = - 45 and sum = + 4

the factors are + 9 and - 5

Use these factors to split the x- term

9x² + 9x - 5x - 5 = 0 ( factor the first/second and third/fourth terms )

9x(x + 1) - 5(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(9x - 5) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

9x - 5 = 0 ⇒ 9x = 5 ⇒ x = \frac{5}{9}

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How many 1/16 pound servings are there in a bag of almonds that weighs 3/4 pound
Lena [83]
3/4 divided by 1/16 = 3/4 x 16 = 12 servings
5 0
2 years ago
Algebra:please answer #1 and show work
Novay_Z [31]
So 12 mins to 600 feet
35 mins=1900 feet
find the slope which is change in top over change in bottom (aka slope) so to find do
(y1-y2)/(x1-x2)
we want, per minute, so put the time as x1 and x2
x1=12
y1=600
x2=35
y2=1900
subsitutte
(600-1900)/(12-35)=-1300/-23=56.5 per minute
the answe ris 56.5 feet per minute or the last answer
4 0
3 years ago
The area of the triangle below is 10.6 square centimeters. What is the length of the
CaHeK987 [17]

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is \frac{bh}{2} = A, where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

  • \frac{4b}{2} = 6

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

  • \frac{4b}{2} * 2 = 6 * 2
  • 4b = 12

Step 2: Divide both sides by 4.

  • \frac{4b}{4} = \frac{12}{4}
  • b = 3

Step 3: Check if solution is correct.

  • \frac{3*4}{2} = 6
  • \frac{12}{2} = 6
  • 6 = 6

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
3 years ago
What is the solution to the system of equations g(x)=-2x-3 f(x)=x+1-4
Ainat [17]

Answer: Not positive that this is right but here is what I got.

Step-by-step explanation:

Set up the composite result function.

g ( f )( x )

Evaluate g(f)(x) by substituting in the value f into g

(2x - 3) + 1

Add -3 and 1

g ( 2 x − 3 ) = 2 x − 2

4 0
3 years ago
5. Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7. my equation is F(x) =
Alik [6]
The average rate of change of function describes the average rate at which y-value ( or f(x)) is changing with respect to changing x-value.
The average rate of change=\frac{ y_{1}- y_{2}  }{ x_{1} - x_{2} } In this exaple is x1=4 and x2=7 and we will find y1 and y2:
y1=3(4-3)²+4=3*1+4=7
y2=3(7-3)²+4=3*16+4=48+4=52
Finally:\frac{52-7}{7-4}= \frac{45}{3} =15
Answer: The average rate of change for f(x) from x=4 to x=7 is 15.
3 0
3 years ago
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