Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the missing term. the roots of x2 − ( ) 34 are 5 ± 3i.

The function is a quadratic function, then the domain will be all real numbers. Then the correct option is D.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

y = -2x² + 50x + 300

Then the function is a quadratic function, then the domain will be all real numbers.

Then the correct option is D.

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Answer:

1,3 is the answer... if you look down here↓:

Step-by-step explanation:

Hey there!

ASSUMING:

p = 2l + 2w

IF SO:

• We already have our perimeter (p) & our width (w), now you have to find our length (l)

160 = 2l + 2(34)

CONVERT TO:

2l + 2(34) = 160

SIMPLIFY IT:

2l + 68 = 160

SUBTRACT 68 to BOTH SIDES:

2l + 68 - 68 = 160 - 68

SIMPLIFY IT:

2l = 160 - 68

2l = 92

DIVIDE 2 to BOTH SIDES:

2l/2 = 92/2

SIMPLIFY IT:

l = 92/2

l = 46

Therefore, your answer should be:

l = 46

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

f(x) = |x - h| + k is shown in the graph.

The above function is a transformation of a parent function:

F(x) = |x|

After applying transformation we get:

f(x) = |x + 1.5| - 3.5

On comparing:

h = -1.5

k = -3.5

Thus, the value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.

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The total amount of money Ethan made in a week including commission is $812.5

Amount of commission earned = 25% of $1250

= 25/100 × $1,250

= 0.25 × 1250

= $312.5

Total earnings = Base salary + Amount of commission earned

= $500 + $312.5

= $812.5

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Answer:

B. 70

Explanation:

A total of 182 pairs of jeans and shorts were sold and the number of shorts sold was 28 fewer than twice the number of jeans. This can be expressed with j being the number of jeans as:

j2 - 28 = number of shorts

As the number of shorts is 28 lower than twice the number of jeans, this means it can not be C or D, as these numbers are larger than 182 when doubled. The process of elimination can be done with the remaining using our equation.

51(2) - 28 = 102 - 28 = 74
70(2) - 28 = 140 - 28 = 112

Now that we have the number of shorts sold by using the equation, we can add them with what number was used as their number of jeans.

74 + 51 = 125
112 + 70 = 182

So the number of jeans sold is B. 70.

Answer:

62.5 copies per minute

Step-by-step explanation:

Note that the word "per" means divide.  So, a rate of change in "copies per minute", means a number of copies divided by a number of minutes

If the copy machine can make 250 copies in 4 minutes, then the number of copies is 250 copies, and the number of minutes is 4 minutes:

[tex]\text{rate of change in copies per minute}=\dfrac{\text{number of copies}}{\text{number of minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=\dfrac{\text{250 copies}}{\text{4 minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=62.5\dfrac{\text{copies}}{\text{minute}}[/tex]

Answer:

d.) 21

Explanation:

Rules:

Solve:

[tex]\rightarrow \sf \dfrac{4|a|}{2} + |a-3|[/tex]

[insert a = -6]

[tex]\sf\rightarrow \dfrac{4|-6|}{2} + |-6-3|[/tex]

[simplify the following]

[tex]\sf\rightarrow \dfrac{4(6)}{2} + 9[/tex]

[tex]\sf\rightarrow 12 + 9[/tex]

[tex]\sf\rightarrow 21[/tex]

The length of BC , AC and AD is 4 , 10 , 14.

Length is the distance between two points , It is measured in cm , m , km etc.

It is asked to calculate the length of BC , AC , AD

For BC

Point B is on point 0 and Point C is on point 4.

BC=|b−c|

BC=|0−4|

BC=4

For AC

Point A is on point -6 and Point C is on point 4.

AC=|a−c|

AC=|-6−4|

AC= 10

For AD

For AC

Point A is on point -6 and Point D is on point 8.

AD=|a−c|

AD=|-6−8|

AD= 14

Therefore the length of BC , AC and AD is 4 , 10 , 14.

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Step-by-step explanation:

please mark me as brainlest

Answer:

33 eggs

Step-by-step explanation:

1 Dozen = 12 units

2 dozen = 2*12 = 24 units

3/4 dozen = 12*3/4 = 36/4 = 9 units

2 3/4 = 2 + 3/4 = 24 + 9 = 33 units

Answer:

44.70 US dollars

Step-by-step explanation:

Begin by converting the Euros to US dollars by dividing 250 by 1.3687

250/1.3687=182.655

Then subtract 150

182.655-150=32.655

Multiply by 1.3687 to convert back to US dollars

32.655x1.3687=44.70

Answer:

The answer will be

= -11, -1, √5, 3, 13

Please mark me as the brainliest.

Answer:

| x - 57 | = 3

Step-by-step explanation:

Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.

Answer:

SA = 169.56 ft²

Step-by-step explanation:

Just replace the variables r and h

by their values in the expression :

SA = 2πr² + 2πrh

     = 2×(3.14)×3² + 2×(3.14)×3×6

     = 169.56

The number of matchsticks that each side of the biggest triangle contains is; 137 matchsticks

We know that for a diagram to be a triangle, then two smallest sides must not be greater than the third side.

Now, if there are 273 matchsticks, then the greatest side of the triangle must not be less than 273/2 = 136.5 ≈ 137

Thus, the largest side will have at least 137 matchsticks

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Answer:

About 64.65 degrees

Step-by-step explanation:

[tex] \tan(x) = \frac{190}{90} [/tex]

[tex]x = { \tan}^{ - 1} \frac{190}{90} = 64.65[/tex]

Make sure your calculator is in degree mode.

Answer:

[tex]\huge\boxed{\sf Option \ A}[/tex]

Step-by-step explanation:

= x² - 4x + 5

We can not factor out this expression, because of we apply mid-term break to it, the factors -4x will break into are -5x + x the coefficients of which when multiplied give -5 and not +5 (side term). This is a known rule in the mid-term break formula.

[tex]\rule[225]{225}{2}[/tex]

If 24 marbles have a mass of 60 g, then each marble has a mass of [tex]60/24=2.5 \text{ g}[/tex].

So, 60 marbles have a mass of 60(2.5)=150 g

Answer:

150 g

Step-by-step explanation:

24 marbles = 60 g

1 marble = 60÷24 = 2.5 g

60 marbles = 2.5 × 60 = 150 g

Hope this helped and have a good day  

Answer: 10.78

Step-by-step explanation:

Answer:

if you mean the formula it is (1/2) · b · (6 · h + sqrt(3) · b)

Step-by-step explanation:

Answer:

answer = 1/4 < 7/25

Step-by-step explanation:

the theoretical probability is that because the spinner has 4 equal sized sections, it should land on each 25 times, 25/100 is 1/4  

28/100 is the experimental probability of landing on H, so that can be simplified to 7/25 as both numbers can be divisible by 4.

Hope this helps:)

Answer:

g(x) = (x-4)² +9

Step-by-step explanation:

If f(x) is moved up 9 units, it becomes x² + 9, as only the 'y' value is changed by 9. Then, if it is moved 4 units to the right, it becomes (x+4)² +9, as only the 'x' value is changed by -4.

The function g(x) that represents the translation of f(x) = x² with 9 units up and 4 units to the right is,

⇒ g(x) = (x-4)² + 9.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Now, To translate the function f(x) = x² with 9 units up and 4 units to the right, we need to use the following formula:

⇒ g(x) = f (x - 4) + 9

Substituting f(x) with its equivalent form:

⇒ g(x) = ( x - 4 )² + 9

Therefore, The function g(x) that represents the translation of f(x) = x² with 9 units up and 4 units to the right is,

⇒ g(x) = (x-4)² + 9.

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The equation of the line in slope-intercept form is [tex]\bf{y= \frac{3}{2} x + \frac{9}{4}} [/tex].

The first step is to calculate the slope of the line.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{ - 3 - 0}{ - 5 -( - 3)} [/tex]

[tex] = \frac{ - 3}{ - 5 + 3} [/tex]

[tex] = \frac{ - 3}{ - 2} [/tex]

[tex] = \frac{3}{2} [/tex]

Substitute the value of m into y= mx +c:

[tex]y = \frac{3}{2} x + c[/tex]

Next, substitute a pair of coordinates that the line passes through. Here, I will substitute (-3, 0) into the equation.

When x= -3, y= 0,

[tex]0 = \frac{3}{2} ( - 3) + c[/tex]

Find the value of c:

[tex]0 = - \frac{9}{2} + c[/tex]

[tex]c = \frac{9}{2} [/tex]

Substitute the value of c into the equation:

Thus, the equation of the line is [tex]y = \frac{3}{2} x + \frac{9}{2} [/tex].

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Answer:

[tex]24\sqrt{5}[/tex]

Step-by-step explanation:

So for this problem you can use the law of sines which states

[tex]\frac{a}{sin A} = \frac{b}{sin B}\\[/tex]

Since the angle is a right triangle we can find the hypotenuse by plugging in the values.

[tex]\frac{4\sqrt{15}}{sin 60} = \frac{hypotenuse}{sin 90}\\\\\frac{4\sqrt{15}}{sin 60} = hypotenuse\\hypotenuse = \frac{4\sqrt{15}}{\frac{\sqrt{3}}{2}} = \frac{8\sqrt{15}}{\sqrt{3}}\\hypotenuse = \frac{8\sqrt{45}}{3} = \frac{24\sqrt{5}}{3}\\[/tex]

we now just multiply that side by 3since all the sides should be equal since all the angles are equal and we get the length of 24sqrt(5)

Answer:

You can just flip a coin five times either with a real one (heads being a face or a picture and tails being the other side) or online, then put a tick on either heads or tails depending on what you got on that toss. Then just put how many times you got heads in the first question.

Hope this helps I guess.

Answer:

C. -6

Step-by-step explanation:

-3(2)²+4(2)-2

-3(4) + 8 - 2

-12+8-2

-14+8

-6