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3 years ago

4x^2-35x+49=0 solve by factoring

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

3 0

Answer: x=7/4 or x=7

Step-by-step explanation:

step 1: Factor left side of equation.

(4x−7)(x−7)=0

Step 2: Set factors equal to 0.

4x−7=0 or x−7=0

x=7/4 or x=7

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Solve: 12^x2+5x-4 =12^2x+6

lyudmila [28]

Answer:

x=2, x=-5

Step-by-step explanation:

to work more comfortably, the first thing we need to do is work the equation linearly, for that we take advantage of the property of logarithms that tells me that $log(a^{b})=b*log(a)$

in this way, the equation remains as:

$log(12^{x^{2} +5x-4 } )=log(12^{5x+6} ) \\ (x^{2} +5x-4 )*log(12)=(5x+6) *log(12)\\x^{2} +5x-4 = 5x+6$

Now we clear the equation so that it is of the form $ax^{2} +bx+c=0$

$x^{2} +5x-2x=6+4\\ x^{2} +3x-10=0$

finally, we apply the equation to solve second degree equations

$x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}$

$x = \frac{-3 \pm \sqrt {3^2-4*1*(-10)}}{2*1}\\ x = \frac{-3 \pm \sqrt {9+40}}{2}\\ x = \frac{-3 \pm 7}{2}$

x=2 and x=-5

Done

5 0

3 years ago

Write an equation to represent the following statement.

Anastaziya [24]

Answer:

k = 3/7

Step-by-step explanation:

121212kkk = 848484

divide each side by 121212

kkk = 7

3k = 7

k = 3/7

3 0

2 years ago

Find the lateral area of the prism.

oee [108]

Answer:

576"

Step-by-step explanation:

AL=ph

AL= (4*12)12

AL= 48*12

AL=576"

7 0

3 years ago

Jill and Alberto are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls o

Arada [10]

Answer:

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Step-by-step explanation:

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3 years ago

In a government study of the relationship between the number of passengers on an aircraft and the total weight in kg of luggage

mars1129 [50]

Answer:

c. 64% of the variation in the weight of luggage is explained by the number of passengers

Step-by-step explanation:

The explained variance is a measure given by the coefficient of determination, R².

The value Given above is the correlation Coefficient, R, which is 0.8

The Coefficient of determination, R² = 0.8² = 0.64, expressing as a percentage ; 0.64 * 100% = 64%

This means that 64% of the variation in the dependent variable is can be explained by the regression line. (independent variable)

3 0

3 years ago