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mariarad [96]
2 years ago
5

Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13

Mathematics
2 answers:
Whitepunk [10]2 years ago
8 0

Answer:

x = -2   & x = 1

Step-by-step explanation:

x^2 + 3x - 15 = 2x - 13 so you takeaway 2x and add 13 to the other side to get x^2 + x - 2 = 0

(x+2)(x-1) = 0 find factors of -2 that get you x

(x+2) = 0 so x = -2       (x-1) = 0  so x = 1

NNADVOKAT [17]2 years ago
7 0

Step-by-step explanation:

x² + 3x - 15 = 2x - 13

x² + x - 2 = 0

(x + 2)(x - 1) = 0

By zero product rule, (x + 2) = 0 or (x - 1) = 0.

Hence x = -2 or x = 1.

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Dayren is driving ti visit family. She drives at an average of 65 miles per hour. She drives 227.5 miles before lunch and then 9
lianna [129]

Answer:

5 hours

Step-by-step explanation:

227.5+97.5=325

325/65=5

3 0
3 years ago
Help Please.
Vladimir [108]

Answer: total length of frame material is 3.2 meters

Step-by-step explanation:

The perimeter of an object or a plane shape is the distance around the object of plane shape.

Mila plans to frame a poster she bought at a concert. The total length of frame material that she needs would be the perimeter of the rectangular frame. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

The frame will be rectangular with a base of 0.65 meters and a height of 0.95 meters. Therefore,

Perimeter = 2(0.65 + 0.95)

= 3.2 meters

3 0
2 years ago
a plane flying with the wind travels 630 mi in 1.5hrs. Flying against the wind , the plane travels 1120 mi in 4hrs. Find the rat
Flauer [41]
\bf \begin{cases}
r=\textit{rate of the plane}\\
w=\textit{rate of the wind}\\
\end{cases}
\\\\

\begin{array}{ccccllll}
&distance&rate&time(hrs)\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
\textit{with wind}&630&r+w&1\frac{1}{2}\\
\textit{against wind}&1120&r-w&4
\end{array}


\bf thus  \begin{cases}
630=(r+w)1\frac{1}{2}\to 630=(r+w)\frac{3}{2}
\\\\
1120=(r-w)4\\
--------------\\
630=(r+w)\frac{3}{2}\implies 630\cdot \frac{2}{3}=r+w\\
420=r+w\implies \boxed{420-w}=r\\
--------------\\
thus\\
--------------\\
1120=(r-w)4\implies 1120=4r-4w
\\\\
1120=4(\boxed{420-w})-4w
\end{cases}


solve for "w", to find the wind's speed rate,

so hmmm what's the plane's rate?  well 420 - w = r  :)
5 0
2 years ago
The area of a square is 4x^2+28x+49. What expression represents the length of each side of the square?
kipiarov [429]

Answer:4x^2 +28x +49=(2x +7)^2

Step-by-step explanation:

a2±2ab+b2=(a±b)2

In this case

a=2x and b=7 ...

4x2+28x+49=(2x)2+(2⋅

(2x)⋅

7)+72=(2x+7)2

7 0
3 years ago
On his diet, John's weight dropped from 200 to 178 pounds. What was the percent of decrease in his weight ?
andrew11 [14]

Answer:

200-178=22

22/200*100=2200/200

2200/200=11

11%

3 0
2 years ago
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