Let f:R+ R be defined by f(x)= ax+b, x £ R. If f(1) =5 and f(-4)= - 5, find the values of a and b and find the function f(x).​

Answer:

16

Step-by-step explanation:

A² for A = -4

= (-4)²

= (-4) × (-4)

= 16

Answer:

A² = 16

Step-by-step explanation:

Substitute A = - 4 into the expression

A² = (- 4)² = - 4 × - 4 = 16

Answer:

(c) $75.37

Step-by-step explanation:

SStax = GrossPay * SSrate

SStax = 1215.60 * 6.2%

SStax = 1215.60 * 0.062

SStax = 75.37

Answer:

6 centimeters

Step-by-step explanation:

Square E'F'G'H' is just square EFGH translated to the left.

It is still the same size, just in a different location.

Line segment EF is the same length as segment E'F'.

6 centimeters

The segment [tex]E'F'[/tex] is 6 centimeters long.

According to this question, Reynaldo created a new square with same dimensions of the former one by translating it 4 centimeters to the left, which means that line segments EF and E'F' have the same length. Let suppose that no further operations have been done.

If [tex]EF = 6\,cm[/tex], then [tex]E'F' = 6\,cm[/tex] because of translation. In other words, the segment [tex]E'F'[/tex] is 6 centimeters long.

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Answer:

brainliest is appreciated

Answer:

3d - 4f

Step-by-step explanation:

(12d + 28f) - 5f - (27f + 9d)

12d + 28f - 5f - 27f - 9d

(12-9)d + (28-5-27)f

3d - 4f

don't forget to put bracket, it is fundamental

4(3d + 7f) – 5f – 3(9f + 3d)

Use the distributive properly:

12d + 28f - 5f -27f -9d

Combine like terms:

3d -4f

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===>   sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

Answer:

option a

Step-by-step explanation:

all positive real numbers

Answer:

polynomials are written in descending order.

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

Answer:

20 feet 7 inches

Step-by-step explanation:

We can separate the fractions and wholes for the minute. 6+7+6= 19

Then we can go on to the fractions a foot is 12 inches. We are given the fractions 1/4, 1/2, &5/6.

1/4 of 12 is 3 as 12 divided by 4 is 3. (3 inches)

1/2 of 12 is 6 as 12 divided by 2 is 6 . ( 6inches)

5/6 of 12 is 10 as 12 divided by 6 then multiplied by 5 is 10. (10 inches)

Because it'd be a bit weird to provide the answer 9 feet and 19 inches we have to convert the 19 inches from the fractions to feet. Since one foot is 12 inches we know that we can take one foot from the 19 inches from the fractions provided with 7 inches left. With that, the final answer is 10 feet and 7 inches.

Open for more questions, comments, concerns, or critiques ( there are most likely grammatical errors)

Answer:

Step-by-step explanation:

The perimeter of this garden is the sum of the lengths of its three sides:

6.25

7.50

+6,833

-----------

20.583 feet

This could and should be rounded off to 2 decimal places:   20.58 ft

or to a mixed fraction:  20 7 1/12 ft

Answer:

The latest time she can leave is 6:56 A.M.

Step-by-step explanation:

Just trust me. :)

Answer:

191.829

Step-by-step explanation:

191.007+0.8215=191.8285. But since you want to round it to the nearest thousandths place, you have 191.829

Answer:

191.8290

Step-by-step explanation:

191.007 + 0.8215 = 191.8290

0.8215

0.0097

+______

0.8285

then add 191. to .8285, creating 191.8285, then rounding to the nearest thousandths, and in this case the thousandths is a 5, which means we always round up. That gives us 191.8290.

p.s. there's no need for the zero at the end

Answer:

By adding

please mark me brainliest

Answer:

x=−2+2√6 or x=−2−2√6

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4x−20=0

For this equation: a=1, b=4, c=-20

1x2+4x+−20=0

Step 1: Use quadratic formula with a=1, b=4, c=-20.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(1)(−20)

2(1)

x=

−4±√96

2

x=−2+2√6 or x=−2−2√6

Step-by-step explanation:

it's an isosceles because it's has two vertices with the points -1

Answer:

a+b=2

Step-by-step explanation:

start by combining all the terms that are possible: (a+b)^2 - 4 = 0

move -4 to the other side:  (a+b)^2= 4

Find the square root of both sides: a+b=2

Answer:

$15.92

Step-by-step explanation:

3.98•4=15.92. You need 4 doxes so 5 students aren't left out.

Answer:

The correct answer is A.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Five and six is the coefficient

Answer:

32 days

Step-by-step explanation:

2 days = 16km

1 day = 8km

256km÷8km=32 days

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

[tex]\boxed{\sf a^m\div a^n=a^{m-n}}[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times( 3^4\div 3^0)^2[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times (3^{4-0})^2[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times 3^{4(2)}[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times 3^8[/tex]

[tex]\\ \sf\longmapsto 3^{-6+8}[/tex]

[tex]\\ \sf\longmapsto 3^2[/tex]

Answer:

[tex] {3}^{2} [/tex]

Step-by-step explanation:

[tex] {3}^{ - 6} \times ( {3}^{4} \div {3}^{0} {)}^{2} [/tex]

[tex] {3}^{4} \div {3}^{0} = {3}^{4 + 0} = {3}^{4} [/tex]

[tex] {3}^{ - 6} \times ( {3}^{4} {)}^{2} [/tex]

[tex]( {3}^{4} {)}^{2} = {3}^{4 \times 2} = {3}^{8} [/tex]

[tex] {3}^{ - 6} \times {3}^{8} = {3}^{ - 6 + 8} = {3}^{2} [/tex]

[tex] \boxed{\green{= {3}^{2} }}[/tex]

Answer:

[tex] \frac{ - 3}{2} (4x + 2) + 2x = - 30 \\ \frac{ - 3 \times 4x}{2} + \frac{ - 3 \times 2}{2} + 2x = - 30 \\ - 6x + - 3 + 2x = - 30 \\ - 4x - 3 = -30 \\ - 4x = -27\\ x = \frac{-27}{ - 4} \\ = 6.75 = 7 \\ thank \: you[/tex]

Answer:

1/2 ÷1/6=1/2×6/1

=6/2=3.

the answer is 3

even though I didn't get the question I hope it helps

Answer:

x=0, y=-2

Step-by-step explanation:

Let x=3y+6 be equation 1

and 2x-4y=8 be equation 2

sub equation 1 into equation2,

2(3y+6)-4y=8

6y+12-4y=8

2y=-4

y=-2

sub y=-2 into equation 1,

x=3(-2)+6

x=0

sub is an abbreviation for substitute

Answer:

KY S

Step-by-step explanation: