2. Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x -3
(answer plsss)

Answer:

112 in^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 14*7 =98

Then find the area of the triangle

A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14

Add the areas together

98+14 =112

Hello!

[tex]\large\boxed{A = 112in^2}[/tex]

We can use the formula for the area of a trapezoid to solve:

A = 1/2(b1 + b2) · h

Thus:

A = 1/2(18 + 14) · 7

Simplify:

A = 1/2(32) · 7

A = 16 · 7

A = 112 in²

Answer:

Step-by-step explanation:

a) 1 + 2 + 3 .... + 7 = 8*(3.5) = $28

b)  $0.01  

$0.02  

$0.04  

$0.08  

$0.16  

$0.32  

$0.64  

sum =  $1.27  

Answer: D 62 inches

Step-by-step explanation: Given area of each tray = 228 in2 inches

Answer:

ddddddddddd

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Step 1

x^2 – 30x = –125

-30/2 = -15

(-15)^2 = 225

Step 2

x^2 -30x+225 = -125+225

(x-15)^2 = 100

Step 3

Take the square root of each side

sqrt((x-15)^2) = sqrt(100)

Step 4

x-15 = ±10

x-15 =10    x-15 = -10

x= 10+15    x = -10 +15

x = 25      x = 5

Answer:

[tex]d = 3h - 6[/tex]

Step-by-step explanation:

Step 1:  Solve for d

I am assuming that you are asking for me to solve for the variable d.  Let me know if what I am doing is not what you want.

[tex]h = \frac{d}{3} + 2[/tex]

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

[tex](h - 2) * 3 = \frac{d}{3} * 3[/tex]

[tex]3h - 6 = d[/tex]

Answer:  [tex]d = 3h - 6[/tex]

Answer: 52 1/2

Step-by-step explanation: I just found the average of the numbers.

Answer:

[tex]4=1/2gt^{2}[/tex]

Multiply equation by 2/g

4(2/g) = t²

t = √(8/g)

t = 2√(2/g)

[tex]answer:t=\sqrt{\frac{8}{g} }[/tex]

OAmalOHopeO

Answer:

Equilibrium price for widgets = 13.22

Step-by-step explanation:

At equilibrium, quantity demand, Qd = quantity supplied, Qs

Demand

P = 14 – 0.39Q

P - 14 = - 0.39Q

Q = (P - 14) / - 0.39

Supply

P = 0.61Q + 12

P - 12 = 0.61Q

Q = (P - 12) / 0.61

Qd = Qs

(P - 14) / - 0.39 = (P - 12) / 0.61

Cross product

(P - 14) * 0.61 = - 0.39 * (P - 12)

0.61P - 8.54 = - 0.39P + 4.68

0.61P + 0.39P = 4.68 + 8.54

P = 13.22

Check

Q = (P - 14) / - 0.39

= (13.22 - 14) / - 0.39

= -0.78 / -0.39

= 2

Q = (P - 12) / 0.61

= (13.22 - 12) / 0.61

= 1.22 / 0.61

= 2

Therefore,

Equilibrium price for widgets = 13.22

Equilibrium quantity = 2

Answer:

y = (4/3)x - 3

Step-by-step explanation:

What is an equation of the line that passes through the points (3, 1) and (-3,  -7)?  (Do not repeat the coordinates of the points.)

First we need to find the slope of the line through these two points.  From (-3, -7) to (3, 1), x increases by 6 (which is the 'run') and y increases from -7 to 1 ( a 'rise' of 8).  Thus, the slope of this line is m = rise/run = 8/6, or m = 4/3.

Using the point-slope formula as our starting point, we insert the known values m = 4/3 and point (3, 1):

y - k = m(x - h) becomes y - 1 = (4/3)(x - 3).  This in itself is a satisfactory answer.  We could also write this equation in slope-intercept form, as follows:

y = 1 + (4/3)x - 4, or

y = (4/3)x - 3

Answer:

1) -1

2) 3

3) 2

Answer:

X= 7/2

Step-by-step explanation:

Multiply first equation by -2 and second equation by 1

-2(4x+7y=-14)

1(8x+5y= 8)

= -8x -14y =28

8x+5y=8

Add these equations to eliminate X:

-9y=36

-9y/-9 = 36/-9

y=- 4

Plug in Y to find X

4x + 7y = -14

4x+7(-4) = -14

4x-28+28= -14+28

4x= 14

X= 7/2

Answered by Gauthmath

Answer: x=3 and 1/2

Step-by-step explanation: Happy to Help (0.<)

Answer:

A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction.

In simple words, it's stretching, when you dilate with scale factor of x, means you multiply the previous value with x, say co-ordinates area -2,4, so you do (-2x,4x) to find the co-ordinates after dialation,

Here the scale factor is 3, so the new co-ordinates are,

(-2×3, 4×3) which is A' (-6, 12)

similarly,

B' (12, -3)

C' (-3, -6)

Answered by GAUTHMATH

Answer:

A’(-6;12)

B’(12;-3)

C’(-3;-6)

Step-by-step explanation:

If k is the factor then it means you have to multiply the coordinates of each point ( A, B and C).

So for example:

A’=3xA so when A(x;y) -> A’( 3x;3y)

So you have :

A’(-6;12)

B’(12;-3)

C’(-3;-6)

Then you just have to put them into a scale and rely them three to have your figure .

Hope it helps you.

Have a nice rest of your day :)

Answer:

x= 0

y= -2

Step-by-step explanation:

− 7x+ 9y =− 18

4x+ 9y =− 18

 7x- 9y =+ 18

4x+ 9y =− 18

11x=0

x=0

y=-2

Answer:

9 seconds

Step-by-step explanation:

y = -4.9t² +42t +18.9

if the ball will be on the ground then y =0 and we need to find t by solving the quadratic equation

-4.9t² +42t +18.9 = 0

t= (-b±√b²-4ac)/2a, quadratic formula

t= {-42±√[42²-4*(-4.9)(18.9)] }/ 2(-4.9) , use calculator to solve

t= (-42 ±√2134.44)/ -9.8, solve the square root

t= (-42 ±46.2)/-9.8

one t = (-42 - 46.2)/-9.8 = - 88.2/ -9.8 = 9 seconds

another t = (-42 + 46.2)/-9.8 = 4.2 / -9.8 ≈ - 0.43 seconds reject this answer

Step-by-step explanation:

A. cos4x-sin4x=2-cos2x

Answer:

GHI is congruent to HGW

Step-by-step explanation:

Answer:

X=5or -2

Step-by-step explanation:

x²-3x-10=0

x²-(5-2)x-10=0

x²-5x+2x-10=0

x(x-5)+2(x-5)=0

(x-5)(x+2)=0

either Or

x-5=0 x+2=0

x=5 x=-2

Answer:

The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.

Answer:

b

it has 2 diagonals crossing each other

Answer:

$11,400

Step-by-step explanation:

3,000+14(600)=11,400

We know that it expands by $600 a year and we are looking for the salary during the 15th year.  During the 15th year, it could be using the salary of the 14th year since it is during not after.  We then add that to the base salary of $3,000 so then we have $11,400.

Answer:

The total metric days are 458 days.

Step-by-step explanation:

1 metric year = 375 days

1 metric year = 10 metric months

1 metric month = 10 metric week

1 metric week = 10 metric days

4 metric months = 10 x 4 x 10 metric days = 400 metric days

5 metric weeks = 5 x 10 metric days = 50 metric days

So, the total number of metric days = 400 + 50 + 8 = 458 metric days

Answer:

5

Step-by-step explanation:

Answer:

The customer will pay along with VAT = Rs 3767.4

Step-by-step explanation:

Cost price of an electric fan = 2800

Pirce after 30% above the cost price = 2800 + (30% of 2800 = 3640

Selling price after 10% discount = 3640 - (10% of 3640) = 3276

Now 15% VAT = 3276 x 15%

15% VAT = 491.4

The customer will pay along with VAT = 3276 + 491.4  

The customer will pay along with VAT = Rs 3767.4

Answer:

3

Step-by-step explanation:

since the diagonal are equal in length

6x-8=2x+4

4x=12

x=3

Answer:

Habrá 100 chocolates en total en 5 cajas de chocolates.

Step-by-step explanation:

Esta pregunta es resolvida usando proporciones, con lo uso de regla de tres .

11 cajas, 220 chocolates:

Entonces:

[tex]\frac{220}{11} = 20[/tex]

20 chocolates por caja.

Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.

20 chocolates por caja, entonces:

5*20 = 100

Habrá 100 chocolates en total en 5 cajas de chocolates.

Answer:

True

Step-by-step explanation:

When two lines are parallel, the corresponding angles formed by the transversal (intersecting line) are congruent. This is called the corresponding angles postulate. It can be used in reverse: if two corresponding angles are congruent, then the non-transversal lines are parallel.

Answer:

Step-by-step explanation:

Angles 4 and 5 are corresponding; this means that they are sitting in the same places within their angle "bunch" for lack of a better word. We are then told that they are are congruent which means that they have the exact same measure. Corresponding angles can exist without being congruent, but because they are, that means that A and B HAVE to be parallel. So true.

Answer:

42

Step-by-step explanation:

ABC + CBD = ABD

3x+33 + 5x+13 = 70

Combine like terms

8x +46 = 70

Subtract 46 from each side

8x+46-46 = 70-46

8x = 24

Divide each side by 8

8x/8 = 24/8

x=3

We want to find ABC

ABC = 3x+33 = 3*3 +33 = 9+33 = 42

Answer:

[tex]m\angle ABC+\angle CBD=m\angle ABD[/tex]

[tex]\longrightarrow (3x+33)+(5x+13)=70[/tex]

[tex]\hookrightarrow 8x+46=70[/tex]

[tex]\hookrightarrow 8x=70-46[/tex]

[tex]\hookrightarrow 8x=24[/tex]

[tex]\hookrightarrow x=24/8=3[/tex]

[tex]so, m\angle ABC=3(3)+33=42[/tex]

-----------------------

Hope it helps...

Have a great day!!

Answer:2

Step-by-step explanation: but it was real

Answer:

Step-by-step explanation:

Answer:

-1 5/28

Step-by-step explanation:

-3/7 + (-3/4)

Get a common denominator of 28

-3/7 *4/4 = -12/28

-3/4 *7/7 = -21/28

-12/28 + -21/28

-33/28

-28/28 - 5/28

-1 5/28

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

StartFraction k minus 1 Over k squared EndFraction

(k - 1)/k²

StartFraction negative 1 Over k cubed EndFraction

= -1/k³

StartFraction 1 Over k EndFraction

= 1/k

Answer:

B: k - 1 / k^2

Step-by-step explanation: