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Nataly_w [17]
3 years ago
6

Factorise the following:x²-7x-30​

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

x²-(10-3)x-30

x²-10x-3x-30

x(x-10)-3(x-10)

(x-3)(x-10)

Step-by-step explanation:

I hope this helps! Stay safe <3

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A jar contains six red marbles 10 Green marbles and eight blue marbles. A marble was elected at random, The color was recorded,
maksim [4K]
Relative frequency = (number of times an item appears) /(TOTAL numbers)

Relative frequency (selecting Red ) = 13/30 =0.434
6 0
3 years ago
Double a number is equal to the number decreased by five?
kotegsom [21]
2n=n-5  subtract n from both sides

n=-5

check...

2(-5)=(-5)-5

-10=-10
6 0
3 years ago
What is the equation of the line that passes through the origin and is perpendicular to the line 4x+3y=6
frez [133]

The Equation of a Line

The slope-intercept form of a line can be written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:

0 = m(0) + b

Solving for b:

b = 0.

Thus, the equation of the line reduces to:

y = mx

We only need to find the value of the slope.

That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.

Solving for y:

y=-\frac{4}{3}x+2

The slope of the second line is -4/3.

We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

m_1\cdot m_2=-1

Substituting the value of m1 and solving for m2:

\begin{gathered} -\frac{4}{3}\cdot m_2=-1 \\ m_2=\frac{3}{4} \end{gathered}

The slope of our line is 3/4 and the required equation is:

y=\frac{3}{4}x

From this last equation, we need to find the general form of the line.

Multiply both sides of the equation by 4:

4y = 3x

Subtract 3x on both sides:

4y - 3x = 0

Reorder:

-3x + 4y = 0

5 0
1 year ago
WHAT IS THE ANSWER PLS HELPPPPP!!!!!
bezimeni [28]

Answer:

5^x - 5^-x

Step-by-step explanation:

g(x) = 5^-x

h(x) = 5^x

We want h(x) - g(x)

h(x) - g(x) = 5^x - 5^-x

This cannot be simplified

6 0
3 years ago
The heights of women aged 30 to 35 are approximately Normal with mean 63 inches and standard deviation 2.4 inches. Men the same
gavmur [86]

Answer

given,

mean of women  (μ)=63 inches

standard deviation of women (σ)= 2.4 inches

mean of men (μ)=70 inches

standard deviation of women (σ)= 2.5 inches

for women

P(x>66)

P(x>66) = 1-P( \dfrac{x - \mu}{\sigma}

P(x>66) = 1-P( z

P(x>66) = 1-P( z

using z-table

P(x>66)= 1 - 0.8944

P(x>66)=0.1056[/tex]for men[tex]P(x>66)

P(x>66) = 1-P( \dfrac{x - \mu}{\sigma}

P(x>66) = 1-P( z

P(x>66) = 1-P( z

using z-table

P(x>66)= 1 - 0.0548

P(x>66)=0.9452

4 0
3 years ago
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