write a quadratic function in standard form whose graph passes through (-5 0) (0,-8) and (4,0).

Answer:

Draw an arrow from the origin to (4, 0)

Step-by-step explanation:

u-v+w

= <-3, -4> - <-4, -1> + <3, 3>              

= <4, 0>

We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.

If we see the image, we can write the vectors as:

Now we want to sum:

u - v + w

Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:

u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>

The graph of the resultant vector can be seen below.

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Step-by-step explanation:

–(11/4) = 11 : (–4) = –11/4 = 11/-4

There are 70 small boxes and 55 big boxes.

Let x = small box

Let y = large box

The equation will be:

x + y = 125 ....i

25x + 55y = 4775 ..... ii

From equation i, y = 125 - x.

25x + 55y = 4775

25x + 55(125 - x) = 4775

25x + 6875 - 55x = 4775

Collect like terms

25x - 55x = 4775 - 6875

30x = 2100

x = 2100/30

x = 70

Since x + y = 125

y = 125 - 70 = 55

Therefore, there are 70 small boxes and 55 big boxes.

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Answer:

B

Step-by-step explanation:

Answer:

680 students

Step-by-step explanation:

The 68 - 95 - 99.7  rule (empirical rule) states that 68% of the population lies within one standard deviation of the mean,  95% of the population lies within two standard deviations and 95% of the population lies within three standard deviations.

Hence since it was said that within 1 deviation (of the mean) of all people like MATH 123, therefore the number of people that like MATH 123 is:

number of people that like MATH 123 = 68% of the population

number of people that like MATH 123 = 0.68 * 1000

number of people that like MATH 123 = 680 students

Answer:

A.

Step-by-step explanation:

I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.

EF: (-9,1) (-4,9)

[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

GH: (-5,-2) (0,6)

[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

Same slope and different y-intercept means the lines a parallel

Answer:

2

Step-by-step explanation:

......... . ........ .......

Answer:

22m

Step-by-step explanation:

You're welcome, just trust me it's right.

Answer:

4t^2 - 28t + 49

Step-by-step explanation:

(2t - 7)^2

Use FOIL.

(2t - 7)^2 =

= (2t - 7)(2t - 7)

= 4t^2 - 14t - 14t + 49

Combine like terms.

= 4t^2 - 28t + 49

(2t - 7)² on expansion results in 4t² - 28t + 49.

The algebraic equations which can be used for all variables in the equation is called Algebraic identities. These identities used in factorization of polynomial expressions as well as in the computation of algebraic expressions.

Some of the standard algebraic identities are:

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b) (a - b)

Here we have the expression (2t - 7)².

Using the second identity (a - b)² = a² - 2ab + b², we can write,

(2t - 7)² = (2t)² - (2 × 2t × 7) + 7²

= 4t² - 28t + 49

Hence the expression (2t - 7)² is expanded to 4t² - 28t + 49 using the algebraic identity (a - b)² = a² - 2ab + b².

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Answer: The third option

Step-by-step explanation: You have to look for a pattern, as the x value increases by 1, the y value decreases by 8, every single time.

Answer:

12 Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The rate is 5p/m

200 / 40 = 5 and so on...

Answer:

5 calories/minute.

Step-by-step explanation:

To find the rate, take one of the data sets (in my example, 40, and 200) and just divide the number of calories by the minutes to find your unit rate.

200/40

= 5

Answer:

JK ≈ 63 units

Step-by-step explanation:

Using the sine ratio in the right triangle

sin44° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JK}{JL}[/tex] = [tex]\frac{JK}{90}[/tex] ( multiply both sides by 90 )

90 × sin44° = JK , that is

JK ≈ 63 ( to the nearest whole number )

Answer:

Sin(x) = Opposite ÷ Hypotenuse

Sin(44) = JK ÷ 90

0.6946583705 = JK ÷ 90

0.6946583705 × 90 = JK

JK = 62.5192533413

Rounding JK to the nearest whole number:

JK = 63

It should be noted that when the lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. This is true.

A measure of a set of values' variance or dispersion is called the standard deviation. Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The greater the distribution of the data, the higher its standard deviation will be..l

It should be noted that the Z value will be computed thus:

Z = X - U / SD

Z = 541.6 - 516 / 20

Z = 1.28.

This will be looked in the distribution table and it illustrated that 90 percent of all batteries have a lifetime less than 541.60 hours

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The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. True or false?

Answer:

b and c

Step-by-step explanation:

i took the test

Answer:

so y intercept is 24

Step-by-step explanation:

Using y = mx + b

m = -8

y = -8

x = 4

then -8 = -8(4) + b

-8 = -32 + b

b = 32 - 8 = 24

Answer:

45!

Step-by-step explanation:

The answer that you're looking for is point C.

Hope this helps! <3

Answer:

The person above me is correct it is C

Step-by-step explanation:

Because it is the only one with a positive and negative. And of course coordinates are correct.

Hope this helps! :)

Answer:

The correct answer is 4.167

Step-by-step explanation:

According to the given scenario, the calculation of the Cp i.e. measure of potential capability is as follows;

= (USL - LSL) ÷ 6 × standard deviation

= (3.05 inches - 1.80 inches) ÷ 6 × 0.05

= 1.25 ÷ 0.3

= 4.167

hence, the calculation of the Cp i.e. measure of potential capability is 4.167

Answer:

0.2

Step-by-step explanation:

19.62*0.2

Multiply by 0.2

Hope this helps plz hit the crown :D

The value of x is 6

From the information given, we have that;

It is important to note that line RT is a line with segments RS and ST and S and the line between R and T

This can be expressed as;

RS + ST = RT

substitute the values into the equation, we have;

4x - 9 + 19 = 8x - 14

collect like terms

4x - 8x = -14 + 9 - 19

subtract like terms

-4x = -24

make 'x' the subject of formula

-4x/-4 = -24/-4

x = 6

Thus, the value of x is 6

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Answer:

B, parabola, 1

Step-by-step explanation:

right on edge

The bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.

The parametric equation for x and y can be given as,

[tex]x =x_o+ v_o\cos(\theta)t \\y =y_o -\dfrac{1}{2}at^2 + (v_o\sin(\theta))t[/tex]

Here, (vo) is the initial speed, (h) is the height and θ is the angle of throw.

The player throws a bean bag from the height of 3 feet with an initial velocity of 34 feet per second at an angle of 30º.

Let suppose the time is t second. Thus, the parametric equation that represents this situation are,

[tex]x = (34\cos(30^o)t \\y = -16t^2 + (34\sin(30^o))t + 3[/tex]

The bean bag’s path is part of a curve. This path is in the form of parabola.

To the nearest second, the bean bag was in the air for 1 second(s).

Thus, the bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

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Step-by-step explanation:

x = 36

y = 48

z = 72

hope it helps

Answer: It's the other way around and it is because 10 x 10 is adding 10+10+10+10+10+10+10+10+10+10, while 11x9 is just 9 11s added together.

[tex]3x+15y=45[/tex]

[tex]x+5y=15[/tex]     ↦ Divide the whole equation by 3.

[tex]5y=15-x[/tex]     ↦ Move the x to another side.

[tex]y=\frac{15-x}{5}[/tex]     ↦ Move 5 to divide 15-x

[tex]y=\frac{15}{5}-\frac{x}{5}[/tex]     ↦ Separate

[tex]y=3-\frac{x}{5}[/tex]     ↦ Divide 15 by 5 as we get 3.

[tex]y=-\frac{x}{5}+3[/tex]      ↦ Arrange in the form of y = mx + b or the slope-intercept form.

That's the answer.

Answer:

16

Step-by-step explanation:

6 x 8 = 48

48 / 3 = 16

Rebecca can only wrap 16 packages with 6 yards of ribbon.

The only decimal that contains a digit that represents ten times the value of the digit to its' right is; 33.458

From the question, we want to find the digit that represents ten times the value of the digit to its' right.

Now, when it comes to decimals, there is the whole number part which is the left side of the decimal while there is a fraction part which is the right side of the decimal.

Now, the decimal values given are;

36.295

33.458

37.889

Let us analyze each of them;

1) 36.295 = 30 + 6 + 2/10 + 9/100 + 5/1000

We can see that there is no number that is ten times the number to it's immediate right.

2) 33.458 = 30 + 3 + 4/10 + 5/100 + 8/1000

We can see that 30 is ten times the number to it's immediate right which is 3.

3) 37.889 = 30 + 7 + 8/10 + 8/100 + 9/1000

We can see that there is no number that is ten times the number to it's immediate right.

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-1 × (-6) = 6  ( because of multiplicative property of -1)

0 ×(-76.3) = 0 (zero property of multiplication)

(3x)y = 3(xy)   (commuative property)

0.3 × (-3) = -3 × 0.3 ( commutative property)

As we know that,

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

Identity property states that a number, known as the identity, can be added to, subtracted from, multiplied by, or divided into a number without changing the number.

Zero property of multiplication is defined as “when we multiply any number by zero, the resulting product is always a zero”.

Multiplicative property of -1 atates that any number multiplied by -1 gives the same but with its opposite sign.

From the given example we can say that

-1 × (-6) = 6  ( because of multiplicative property of -1)

0 ×(-76.3) = 0 (zero property of multiplication)

(3x)y = 3(xy)   (commuative property)

0.3 × (-3) = -3 × 0.3 ( commutative property)

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