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Harlamova29_29 [7]
4 years ago
11

Find the constants m and b in the linear function f(x) = mx + b so that f(4) = 1 and the straight line represented by f has slop

e -14
Mathematics
1 answer:
HACTEHA [7]4 years ago
6 0
The equations is f(x)=-14x-55
m=-14
b=-55

I checked my answer by plugging in (4,1) which was given.
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40-50-60<br>Work out<br>2 × 1/7 -1 2/5<br>Give your answer in its simplest form.​
MAVERICK [17]

Answer:

the simplest form of the given expression is -1\frac{4}{35}

Step-by-step explanation:

Given;

2 \times  \frac{1}{7}  -  1\frac{2}{5}

The above expression can be simplified as follows;

2 \times  \frac{1}{7}  -  1\frac{2}{5} \\\\=\frac{2}{7} - \frac{7}{5} \\\\= l.c.m \ of \ 7 \ and \ 5 \ is \ 35\\\\= \frac{5(2) - 7(7)}{35} \\\\= \frac{10 - 49}{35} \\\\= -\frac{39}{35} \\\\= - 1\frac{4}{35}

Therefore, the simplest form of the given expression is -1\frac{4}{35}

5 0
3 years ago
A video game uses the quadratic equation h equals space minus 16 t to the power of 2 space end exponent plus space 64 t space pl
stellarik [79]

Answer:

Step-by-step explanation:

Given

h varies as

h=-16t^2+64t+190

Above h represents the height of object at any instant t

For example at t=0

h=190 ft

At t=1 s

h=-16+64+190=238 ft

For maximum height differentiate h w.r.t time

\frac{\mathrm{d} h}{\mathrm{d} t}=-16\times 2\times t+64

Put \frac{\mathrm{d} h}{\mathrm{d} t}=0 to get maximum height

-32t+64=0

t=2 i.e. at t= 2 s h is maximum

h at t=2 s

h=-16\times 2^2+64\times 2+190=254 m

7 0
4 years ago
Complete the truth table.
Elza [17]

Answer:

TTTTTTTFFFFFFFFTTTTTTTTFFFFFFFF

7 0
3 years ago
1) Ellen Murphy manages an Auto Film outlet that
Mrrafil [7]

Answer:

Four-door sedan = 22

Two-door coupes = 6

Step-by-step explanation:

This is an algebra problem.

Let "<em>x</em>" represent number of four-door sedan,

"<em>y</em>" represent two-door coupe.

Since there are total of 28 autos on which film is applied, we have:

<em>x</em> + <em>y</em> = 28                                         Equation 1

<em>y </em>= 28 - <em>x                                          </em>Equation 2

Also provided,

Total revenue = $3,459.72

That means,

129.99<em>x </em>+ 99.99<em>y</em> = 3,459.72          Equation 3

Putting value of "<em>y</em>" from Equation 2 in Equation 3 we have:

129.99<em>x</em> + 99.99(28 - <em>x</em>) = 3,459.72

129.99x + 2,799.72 - 99.99<em>x</em> = 3,459.72

30<em>x</em> = 660

<em>x </em>= \frac{660}{30} = 22

Therefore, number of four door sedans = 22

Further <em>y</em> that is two door sedan = 28 - <em>x = </em>28 - 22 = 6

4 0
3 years ago
A six sided die is rolled and a spinner with 5 equal spaces labeled A-E is spun. Find the P(rolling
natulia [17]

Answer:

1 / 30

Step-by-step explanation:

For a six - sided die :

Sample space = (1, 2, 3, 4, 5, 6)

P(rolling a 1) = required outcome / sample space = 1/6

Sample space for spinner = (A, B, C, D, E)

P(spinning A ) = required outcome / sample space = 1/5

P(spinning A) = 1 / 5

P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30

8 0
3 years ago
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