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3 years ago

Brainliest ,please help, Line L has the equation y = 5x + 12 Write down the gradient of line L

Mathematics

1 answer:

tekilochka [14]3 years ago

3 0

In the equation y=mx+c m= the gradient of the line and our m=5 so gradient of the line is 5

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Find the pattern and find the next three items in the pattern. 1, 1, 2, 6, 24, 120

seropon [69]

The pattern is:
1, 1, 2, 6, 24, 120
v v v v v
x1 x2 x3 x4 x5
so the next one would be 720 bc 120x6
the one after that would be 5,040 bc 720x7
the last one would be 40,320 bc 5,040x8

8 0

3 years ago

Find all the real fourth roots of 6561.select the correct choice below and, if necessary, fill in the answer box to complete y

Scrat [10]

9 because 9⁴ gives you that result, you can try on a calculator ;)

5 0

3 years ago

Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the me

NARA [144]

Step-by-step explanation:

angle YWX = angle YXW ...eqn 1

angle XYZ = angle WYX (0.5) = 15x...eqn 2

angle YXZ = angle YXW = 2x + 5...eqn 3

=> from eqn 1 and 3 we get...

angle YWX = 2x + 5 ...eqn 4

=> from eqn 2 we get

angle WYX = 2 × angle XYZ = 30x...eqn 5

a triangle has a total of 180deg,

=>angle WYX + angle YWX + angle YXW = 180deg

=> 30x + 2x +5 + 2x +5 = 180deg

=> 34x +10 =180deg

=> x = 5deg

subst x = 5deg in eqn 5, we get

angle WYX = 30 × 5 = 150deg

4 0

4 years ago

Read 2 more answers

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s

RSB [31]

Well, is the function continuous? yes, is a cubic one, you can graph it if you wish, is continuous all the way, and of course at [ 0, 4] too.

is it differentiable? you can always look at the graph between 0,4 and is a smooth transition line, thus yes, it is differentiable, but let's check anyway,

$\bf \cfrac{dy}{dx}=3x^2-2x-12$ its derivative has no asymptotes and therefore no "cusps", so yes, is differentiable all around.

is f(0) = f(4), let's check

f(0) = 0+0+0+3, f(0) = 3
f(4) = 64 - 16 - 48 + 3, f(4) = 3

yeap

there must then be a "c" value(s) with a horizontal tangent slope, let's check, is really just the critical points.

$\bf \cfrac{dy}{dx}=3x^2-2x-12\implies 0=3x^2-2x-12
\\\\\\
\textit{using the quadratic formula}
\\\\\\
x=\cfrac{-(-2)\pm\sqrt{(-2)^2-4(3)(-12)}}{2(3)}\implies x=\cfrac{2\pm\sqrt{4+144}}{6}
\\\\\\
x=\cfrac{2\pm 2\sqrt{37}}{6}\implies x=\cfrac{2\pm\sqrt{37}}{3}\impliedby \textit{c's}$

4 0

3 years ago

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.

Calculating the probability of the distribution for x:

$\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\$

The formula for calculating the mean value:

$\bold{ E(X)= x \times f(x)}$

$=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07$

$\bold{E(X^2) = x^2 \times f(x)}$

$=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83$

use formula for calculating the Variance:

$\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}$

$= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13$

calculating the value of standard deivation:

Standard Deivation (SD) = $\sqrt{Variance}$

$= \sqrt{26.13} \\\\=5.111$

6 0

3 years ago