All categories

2 years ago

Solve the following quadratic equation by factorising first x^2 + 5x - 14 =0

Mathematics

1 answer:

Kruka [31]2 years ago

4 0

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0 equation/Question

step 2

x^2+5x-14=0 factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

You might be interested in

Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage

quester [9]

Answer: a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : $H_0:p=P$

Alternate hypothesis : $H_1:p\neq P$

So, the test statistic would be

$z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252$

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

$P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219$

Hence, a) -0.2252, b) 0.8219

6 0

3 years ago

How do i solve x/3+10=15

yaroslaw [1]

step-by-step.

+10=15

Step 1: Simplify both sides of the equation.

x+10=15

Step 2: Subtract 10 from both sides.

x+10−10=15−10

x=5

Step 3: Multiply both sides by 3.

3*(

x)=(3)*(5)

x=15

Answer:

x=15

8 0

3 years ago

1) A radio signal travels from the earth and through space at a speed of 300,000 km/s. How far into space would the signal trave

riadik2000 [5.3K]

Answer:

1. 24,000,000, i believe you divide, 300,000/80.

2. 4.065 seconds, i also believe you divide 5000m/1230.

7 0

3 years ago

Which expressions are equivalent to -2(5x-1)+7(5x-1)-3(-5x+1)

blondinia [14]

Answer:

x=1/5

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's go back to the given question

-2(5x-1)+7(5x-1)-3(-5x+1)

We can actually equate the equation to zero

Let's solve

-10x+2+35x-7+15x-3=0

Let's collect like terms

-10x+35x+15x=-2+7+3

40x=8

Let's make x the subject of formula by dividing both sides by 40

x=1/5

So the final answer is 1/5

8 0

3 years ago

Please help don’t understand

sergejj [24]

Answer:

x=35

Step-by-step explanation:

2x+15+2x-10+x=180

combine factors

5x+5=180

-5 from both sides

5x=175

divide 175/5x

x=35

8 0

3 years ago