What is the answer for -4-(7t-4)^2=-49

Answer:

(h+9)⋅(h+2)

Step-by-step explanation:

1.1     Factoring  h2+11h+18  

The first term is,  h2  its coefficient is  1 .

The middle term is,  +11h  its coefficient is  11 .

The last term, "the constant", is  +18  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 18 = 18  

Step-2 : Find two factors of  18  whose sum equals the coefficient of the middle term, which is   11 . -18    +    -1    =    -19  

     -9    +    -2    =    -11  

     -6    +    -3    =    -9  

     -3    +    -6    =    -9  

     -2    +    -9    =    -11  

     -1    +    -18    =    -19  

     1    +    18    =    19  

     2    +    9    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  9  

                    h2 + 2h + 9h + 18

Step-4 : Add up the first 2 terms, pulling out like factors :

                   h • (h+2)

             Add up the last 2 terms, pulling out common factors :

                   9 • (h+2)

Step-5 : Add up the four terms of step 4 :

                   (h+9)  •  (h+2)

            Which is the desired factorization

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(h + 9)(h + 2)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {h}^{2} + 11h + 18}[/tex]

Here, we have to find out two numbers that adds to 11 and multiplies to 18

[tex] \dashrightarrow{ \sf{ {h}^{2} + (9 + 2)h + 18}}[/tex]

Distribute h through the parentheses

[tex] \dashrightarrow{ \sf{ {h}^{2} + 9h + 2h + 18}}[/tex]

Take h as common. Similarly, take 2 as common

[tex] \dashrightarrow{ \sf{h(h + 9) + 2(h + 9)}}[/tex]

[tex] \dashrightarrow{ \sf{(h + 9)(h + 2)}}[/tex]

Hope I helped!

Best regards! :F

Answer:

d

Step-by-step explanation:

Answer:

D 3/4, 4/7, 7 2/3, -2(pie), -6.5

Based on the information given his total employment compensation is: a. $46,650

Using this formula

Total employment compensation=Total job benefits -Total job expenses for traveling and for professional development

Where:

Total job benefits=$50,150

Total job expenses=$3,500

Let plug in the formula

Total employment compensation=$50,150-$3,500

Total employment compensation=$46,650

Inconclusion his total employment compensation is: a. $46,650

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Answer:

A. 46,650

Step-by-step explanation:

Edge 2022.

Answer:

m = 4

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

5(m-2)-10=6+2(1-m)

5m-5*2-10=6+2*1-2*m

5m-10-10=6+2-2m

5m-20=8-2m

5m+2m=8+20

7m=28

m=28/7

m=4

Answer:

y=1/5x+7/5

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Lines given in the graph represent the piecewise function,

We will find the domain of the given pieces in each quadrant of the graph.

For a line in quadrant 2,

Domain (set of x-values) → [-4, -2]

For second line in the same quadrant,

Domain : [-1, 0]

For a line in quadrant 4,

Domain : [1, 3]

Therefore, Option (1) is the correct option,

Option (1). 1 ≤ x ≤ 3

Answer:

10 √10

Step-by-step explanation:

Answer:

[tex]10\sqrt{10}[/tex]

Step-by-step explanation:

The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:

√100 × 10

Next, we separate the numbers inside the √ as such:

√100 × √10

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:

10√10

Answer:

2x + 6 = 90

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees, so the sum of the angles is 90 degrees. We could let x be the measure of the angle. The other angle is x + 6, so the answer is x + x + 6 = 90, or 2x + 6 = 90

From the given measure whose angle is 6° less than the measure of its complement.

The measure of the two angles is 47° and 43° respectively.

Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves.  

Mathematically;

Let the first angle be a and the second angle be b

∴

a + b = 90°   (complemntary angles)

If one of the angles is 6° less than  its complement;

i.e.

Let a = 6

SO, the algebraic equation for the value of a is:

a = b - 6

 Replacing the value of a to solve the equation, we have:

(b - 6) + b = 90

2b - 6 = 90

2b = 90 - 6

2b = 86

b = 86/2

b = 43°

From a + b = 90°

a = 90° - 43°

a = 47°

Therefore, we can conclude that the measure of each angle is 47° and 43°.

Learn more about complementary angles here:

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Answer:

Step-by-step explanation:

65 + 79 + x = 180

144 + x = 180

x = 36°

Answer:

65+79+x=180

144+x=180

x=180-144=36.

Answer:

It should be written as 8x-15x

Step-by-step explanation:

If you have any questions about the way I solved it, ask in the comments

Answer:

y = 5/2x + 5

y = 5/2x - 9.5

Step-by-step explanation:

We need to solve for the y in the expresion of 2x + 5y = 25

[tex]2x + 5y = 25\\y = (25 - 2x)/5 \\y = 5 - 2/5x[/tex]

now we re-arrenge the factors in the form y = ax + b

y = -2/5x + 5

we reverse "a"

y = 5/2 + a

And now, we use a point in the other formula to solve for a:

original line:

y = 5 - 2/5x

X = 0 then Y = 5

now we solve for the general equation of the perpendicular equation:

[tex]y - y_1 = m ( x - x_1)[/tex]

[tex]y - 5 = 5/2 (x - 0)\\y = 5/2x + 5[/tex]

If we use a different point we get a different formula:

original line:

y = 5 - 2/5x

X = 5 then Y = 3

[tex]y - 3 = \frac{5}{2}(x - 5)\\y - 3 = \frac{5}{2}x -12.5 \\y = \frac{5}{2}x - 9.5[/tex]

An Image is attached to represent

Answer:

yes it is rational

Step-by-step explanation:

it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1

Answer:

he left with 0 dollars

Step-by-step explanation:

Divide total cost by quantity.

$36 / 4 = $9 per basketball

Answer:

x = 1

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

Answer: m= -1/2

Step-by-step explanation:

m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)

first, find a point on the line, (-2,1) and that is equal to (x1,y1)

then find another point on the line, (2,-1) and that is equal to (x2,y2)

then substitute your points into the formula above and that is equal to

(-1-1)/(2-(-2))

= -2/4

= -1/2

that is your answer

Answer:

that will be 80 bacteria the next hour and just keep multiplying the number of bacteria by 2.

Step-by-step explanation:

use the pythag theorem to find the missing side of the trIangle, then find the area of the triangle by using the formula 1/2(l*w). Then add the area of the two triangles to 200 and you have your answer.

Answer:

Try to use pythogorus theorum

Answer:

Need more?

Step-by-step explanation:

-x^2 + 3x + 2

Is this the answer?

Answer:

y=1/2x+0

Step-by-step explanation:

Since the slope is 1/2 and it starts at the origin, the b value is 0.

Answer:

1/2x

Step-by-step explanation:

Answer:

The first one:

0.05, 0.2, 0.48, 0.6

Answer:

3 weeks

Step-by-step explanation:

[tex]\frac{1200}{415}\\\mathrm{Write\:the\:problem\:in\:long\:division\:format}\\415\overline{|\smallspace1200}\\\\\mathrm{Divide}\:1200\:\mathrm{by}\:415\:\mathrm{to\:get}\:2\\\\\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]

[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:415\\[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\space\space\space\space\underline{\emptyspace8\emptyspace3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

[tex]\mathrm{Subtract}\:830\:\mathrm{from}\:1200[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\space\\ space\space\space\space\space\space\underline{\empty\space8\empty\space3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\emptyspace3\emptyspace7\emptyspace0\space\space\space\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1200}{415}\:\mathrm{is}\:2\:\mathrm{with\:remainder\:of}\:370\\\\2\quad \mathrm{Remainder}\quad \:370\\=2.89\\=3 weeks[/tex]

Answer:

y^10

multiplication of exponents is like addition, you just add exponents

Answer:

D

Explanation:

I'm just typing this part to get to 20 characters

Answer:

(n+11)^2

Step-by-step explanation:

Hope this helps!