Solutions when y = 0 are the same as

The graph below has__
solutions when y = 0

The axis of symmetry is x =___

Answer:

y =x^2 +8x +15

factories form

y =( x+5 )( x+3 )

x intercept where the graph meet the x axis

y = x^2 +8x +15

let y =0

0 = x^2 +8x +15

0 = ( x + 5) (x+3)

o = x+5 or 0 = x+3

-5 = x or x = - 3

x intercept

(-5;0)

(-3 ;0)

axis of symmetry : where you will cut the graph into two half

x = - b/2a

x = - 8/2(1)

x = - 8/2

x = - 4

Domain

XER

Range

y > -1

The statistical question is; "What are the ages of the students in this class?

A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.

Among the two questions, the statistical question is; "What are the ages of the students in this class?

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Segment addition postulate states that given points X, and Z, on a line, a point Y, can be located between X, and Z, ony if we have;

XZ = XY + YZ

The length of the segment BD is 36  cm

The reason the above value is correct is as follows:

Known:

The ratio in which the points A, B, C, and D divide the line segment = 4:3:1

The length of segment AD = 72 cm

Required:

The length of BD

Method:

Calculate the length of BC and CD and add their values to get BD

Solution:

Let the ratios be given unit proportions of the segment AD such that we have;

AB = 4 units

BC = 3 units

CD = 1 unit

By segment addition postulate, we have;

AD = AB + BC + CD

∴ AD = 4 units + 3 units + 1 unit = 8 units = 72 cm

∴ 1 unit = 72 cm/8 = 9 cm

1 unit = 9 cm

BD = BC + CD by segment addition postulate

BC = 3 units = 3 × 1 unit

∴ BC = 3 × 9 cm = 27 cm

BC = 27 cm

CD = 1 unit

∴ CD = 9 cm

∴ BD = 27 cm + 9 cm = 36 cm

The length of segment BD = 36 cm

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Given:

The ratio and rates:

1. 30 ft. To 60.Ft

2. 51 males to 21 females

3. 1,500 meters in 6 seconds

4. $36 for 4 rounds of shrimp

To find:

The fraction in simple terms for the given ratio and rates.

Solution:

1. 30 ft. To 60.Ft

[tex]\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}[/tex]

2. 51 males to 21 females

[tex]\dfrac{51}{21}=\dfrac{17}{7}[/tex]

3. 1,500 meters in 6 seconds

[tex]\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}[/tex]

4. $36 for 4 rounds of shrimp

[tex]\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}[/tex]

Answer:

1.8 x 10^7 gallons in one hour.

Step-by-step explanation:

60 x 60 = 1,200 = 1.2 x 10^3 (Amount of seconds in an hour)

(1.5 x 10^4) x (1.2 x 10^3)

= 1.8 x 10^7

Answer:

528 cm squared

Step-by-step explanation:

A parallelogram (slanted shape at the bottom) is essentially the same area as a rectangle.

Therefore, both shapes have the same measurements.

Multiply the length and height of the rectangle to get its area: 22cm×12cm =264cm squared

Since the area of the rectangle corresponds geometrically to the area of the parallelogram, just multiply the area of the rectangle (264cm squared), by 2.

So 264×2, = 528cm squared

Ta da...

Answer:

0.9

Step-by-step explanation:

100,000 in 90,000

Answer:

Sales goal, S = Q. 10,000

Step-by-step explanation:

Given the following data;

To find his daily sales goal;

[tex] \frac {20}{100} * S = 2000 [/tex]

[tex] 0.2 * S = 2000 [/tex]

Dividing both sides by 0.2, we have;

[tex] S = \frac {2000}{0.2} [/tex]

Sales goal, S = Q. 10,000

Answer:

i think its d

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

5m

Step-by-step explanation:

5^(k-1)+5^(k-1)=m

Going to combine like terms on left:

2×5^(k-1)=m

Law of exponents applied:

2×5^k×5^(-1)=m

Reciprocal:

2×5^k×1/5=m

Multiply 5 on both sides to obtain the requested:

2×5^k=5m

If both triangles are similar then ratio of sides will be same.

[tex]\\ \sf\longmapsto \dfrac{12}{14}=\dfrac{y}{21}[/tex]

[tex]\\ \sf\longmapsto 12(21)=14y[/tex]

[tex]\\ \sf\longmapsto 14y=252[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{252}{14}[/tex]

[tex]\\ \sf\longmapsto y=18[/tex]

Answer:

y = 18

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are in proportion, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AC}{DF}[/tex] , substitute values

[tex]\frac{y}{12}[/tex] = [tex]\frac{21}{14}[/tex] ( cross- multiply )

14y = 252 ( divide both sides by 14 )

y = 18

Answer:

Klog earned $135.45 altogether.

Step-by-step explanation:

Hours

Monday - Friday : 5 days / 3.5 hours

Saturday : 1 day / 4 hours

3.5 · 5 + 4

= 17.5 + 4

= 21.5

Money

$6.30 per hours / 21.5 hours

6.30 · 21.5

= $135.45

Answer:

length = 13

Step-by-step explanation:

length =x-4

width = 8

perimeter =2( x-4) + 2× 8 = 34

= 2x - 8 + 8 =34

= 2x =34

= x = 17

Answer:

x = 13

Step-by-step explanation:

The opposite sides of a rectangle are equal, then

2(x - 4) + 2(8) = 34 ← distribute parenthesis and simplify left side

2x - 8 + 16 = 34

2x + 8 = 34 ( subtract 8 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Answer:

1) 20

2) 60

3) 10

4) 90

Step-by-step explanation:

1. first quartile is the beginning of the box

2. third quartile is the end of the box

3. lowest is the first point of the graph

4. vice versa of 3

9514 1404 393

Answer:

  B.  even

Step-by-step explanation:

Functions are classed according to what happens when x is replaced by -x.

  f(-x) = f(x) . . . even

  f(-x) = -f(x) . . . odd

__

Here, we have ...

  f(-x) = 2/(-x)^2 = 2/x^2 = f(x) . . . . an even function

Answer:

An integer is any rational number without a decimal or fraction. This includes negative numbers, and 0. But decimals and fractions are not integers.

Step-by-step explanation:

Brainliest, please!

Answer:

- 2 x y^2+3 x^2 y -xy

-120

Step-by-step explanation:

xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2

Combine like terms

xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2

- x y+3 x^2 y - 2 x y^2

Let x = 4 y = -2

-(4)(-2) +3(4)^2 (-2) -2(4)(-2)^2

Exponents first

-(4)(-2) +3(16) (-2) -2(4)(4)

Multiply

+8 -96-32

Add and subtract

-120

Answer:

i) 37

ii) 120

iii) 157

Explanation:

i)

BCA = 180-ACD (Linear Pair)

BCA=180-60

BCA = 120

23+x+BCA=180

143+x=180 (Angle sum property)

x=37

ii) Since triangle ABD is equilateral all of its angles are 60

y+ADC=180

y = 180-ADC (Angles on straight line adds upto 180)

y=180-60

y = 120

iii) Using the values from part i and ii

x+y = 120+37

= 157

Must click thanks and mark brainliest

Answer:

8 cm

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

So first let's write the information we got

Angle BAC = 90 degrees

Midpoint of BC = M

AC = 6cm

Am= 5cm

Also I found MC = BM, since it has a line that represents both lines are same

so to find it we have to Pythagoras theorem (A^2 + B^2 = C^2), well it is question we have the 'A value and C Value', also we need to find the value of B to find the length of MC and BM

A = 5

C = 6

so therefore to find B^2, we have to do the reverse, we don't add but subtract

C^2 - A^2 = B^2

___________________________________________________________

Moving on to Calculation

6^2 - 5^2 = B^2

36 - 25 = B^2

B^2 = 9

B = √9

B = 3

MC and BM Length =  3 cm

____________________________

Now, we know the length we again need to use Pythagoras theorem to solve this.

Since we know

A = 5

B = 3

So..

A^2 + B^2 = C^2

5^2 + 3^2 = C^2

25 - 9 = C^2

C^2 = 16

C = √16

C = 4

Answer:

[tex]6(4c + 6d + 3})[/tex]

Step-by-step explanation:

Given

[tex]{24c + 36d + 18}[/tex]

Required

Apply distributive property

We have:

[tex]{24c + 36d + 18}[/tex]

Factor out 6 (to apply distributive property)

[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]

Hence, the equivalent is:

[tex]6(4c + 6d + 3})[/tex]

Answer:

Equation of line is y = -8x + 21

Step-by-step explanation:

Slope, m = -8

General equation of line:

[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]

At point (2, 5), y = 5 and x = 2:

[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]

Therefore:

[tex]{ \sf{y = - 8x + 21}}[/tex]

[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]

Answer: 34+1.50h

Step-by-step explanation:

Algebraic Equation:

The entrance fee to the waterpark is the intial cost for Leah to get in the park. The amount of hours that Leah will spend at the park is a variable.

You need to add the intial cost and the variable amounts together.

34+h

You put the h in the equation because you don't know how long Leah will spend on the raft. You will be multiply by the rate per hour for a raft.

34+1.50h

Therefore the cost for Leah is 34+1.50.

34 + 1.50h

Therefore, Leah’s cost is 34 + 1.50h.

Answer:

25 x^2 + 30 x + 12

Parcelas

Plots

Parcelas

Figura geométrica

parabola

Formas alternativas

x (25 x + 30) + 12

(5 x + 3)^2 + 3

5 x (5 x + 6) + 12

Raíces complejas

x = -1/5 i (sqrt(3) + -3 i)

x = 1/5 i (sqrt(3) + 3 i)

Step-by-step explanation:

Answer:

(x-9)(x+2)

Step-by-step explanation:

x^2-7x-18

What 2 numbers multiply to -18 and add to -7

-9*2 = -18

-9+2 = -7

(x-9)(x+2)

Answer:

Below.

Step-by-step explanation:

x^2 - 7x - 18

-9 * 2 = -18 and -9 +2 = -7 so the factors are:

(x - 9)(x + 2)

Answer:

C.2

Step-by-step explanation:

Faktor perdana adalah faktor numbor² bagi sesuatu nombor yang juga merupakan nombor perdana.

Faktor nombor 28 adalah 1 ,2, 4 , 7 ,14 dan 28.

Dalam list nombor perdana ini hanya 2 dan 7 merupakan nombor perdana. Maka , jawapan soalan ini adalah 2.

MAY BE THIS !!!!

HOPE IT'S HELPFUL FOR U MATE

The number of people who play both volleyball and football will be 80.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

In a group of 150 people, 120 like to play volleyball and 85 like to play football. If 25 like to play up of the games.​

The number of people who play volleyball and/or football is calculated as,

A∪B = 150 - 25

A∪B = 125

The number of people who play both volleyball and football is calculated as,

A∩B = A + B - A∪B

A∩B = 120 + 85 - 125

A∩B = 80

The number of people who play both volleyball and football will be 80.

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Step-by-step explanation:

its on the picture.........

Answer:

[tex]3\sqrt{3}[/tex]

[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]

Step-by-step explanation:

it´s a polygon. letter c (decagon) should be right

hope it helps :)