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attashe74 [19]
3 years ago
14

PLS HELP! Tanisha is planning a party. She will serve hamburgers, potato salad, strawberry shortcake, and lemonade. Including Ta

nisha, 28 people will be at the party. Tanisha expects that each person will drink two 8−ounce glasses of lemonade at the party, and makes 448 ounces of lemonade. Tanisha's mother buys 38 lemons. They know it takes 8 lemons to make 80 ounces of lemonade. Does Tanisha need more lemons?
Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
Shee needs 448 ounces of lemonade.

448 ÷ 80 =5.8
⇒ There are 5.6 80-ounce of lemonade.

80 ounces of lemonade needed 8 lemons.
448 ounces of lemonade needed 8 x 5.6 = 44.8 lemons.

Tanisha has 38 lemons. 
She does not have enough lemons.
She needs 44.8 - 38 = 7 more lemons.

Answer: <span>Tanisha needs more lemons. She needs 7 more.</span>
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<span>B. y = 6x
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Yesterday, Mary had n baseball cards. Today, she got 8 more. Using , write an expression for the total number of baseball cards
Oksana_A [137]

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n + 8 =

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What is the vertex of the quadratic function f(x)=x2+6x+16? Write your answer
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Answer:

The vertex of the quadratic function is:

(x_{v}, y_{v})=\left(-3,\:7\right)

Step-by-step explanation:

Given the function

f\left(x\right)=x^2+6x+16

As the vertex of the form y=ax^2+bx+c is defined as:

x_v=-\frac{b}{2a}

As the quadratic function of parabola params are

a=1,\:b=6,\:c=16

so

x_v=-\frac{b}{2a}

x_v=-\frac{6}{2\cdot \:1}

x_v=-3

Putting x_v=-3 to determine y_v

y_v=\left(-3\right)^2+6\left(-3\right)+16

y_v=3^2-18+16

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y_v=7

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5 0
3 years ago
A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative
pishuonlain [190]

Answer:

Part A:

m_1m_2=-1

\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector = \frac{b}{a}

Step-by-step explanation:

Condition for perpendicular is:

m_1m_2=-1

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector=m_1=\frac{y}{x}=\frac{b}{a}

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y=\frac{-ax}{b}+\frac{c}{b}

According to general equation of line: y=mx+c

Where m is the slope

In our case the slope of above line is:

m_2=\frac{-a}{b}

According to the condition of perpendicular:

m_1m_2=-1

\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y=\frac{-ax}{b}+\frac{c}{b}

According to  general equation of line: y=mx+c

Where m is the slope

Slope of given line=m=\frac{-a}{b}

negative reciprocal of the slope of the given line = \frac{b}{a}

Slope of vector = \frac{b}{a}

5 0
2 years ago
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