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3 years ago

Simplify the expression

Mathematics

2 answers:

Inga [223]3 years ago

4 0

36+18x
18x=-36
x=-2

coefficient of x is -2

iren2701 [21]3 years ago

4 0

The coefficient is 18
The constant is 35

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Gabriela asistió al buen fin y compró a crédito un refrigerador de $8,500.50, un televisor de $3,500.50, una computadora de $6,9

vazorg [7]

Answer:

23,999

Step-by-step explanation:

Un refrigerador de $8,500.50

Un televisor de $3,500.50

Una computadora de $6,900.00

Una lavadora de $4,999.00

8,500.50 + 3,500.50 + 6,999.00 + 4,999.00 = 23,999.00

7 0

3 years ago

Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)

Pani-rosa [81]

Answer:

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}$

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{2}$

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

$\displaystyle y - y_{1} = m(x - x_{1})$

since we got our perpendicular m is -½, $x_1=6$ and $y_1=5$ , substitute

$\displaystyle y - 5 = - \frac{1}{2} (x - 6)$

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

$\displaystyle y - 5 = - \frac{1}{2} x + 3$

add 5 to both sides:

$\displaystyle y = - \frac{1}{2} x + 8$

hence,

our answer choice is B

3 0

3 years ago

Read 2 more answers

Soft drink consumption in New Zealand. A survey commissioned by the Southern Cross Healthcare Group reported that 16% of New Zea

lidiya [134]

<h2>Answer with explanation:</h2>

Given : The proportion of New Zealanders consume five or more servings of soft drinks per week : $\hat{p}= 0.16$

a) The number of survey respondents reported that they consume five or more servings of soft drinks per week = 2006

b) Confidence interval for population proportion (p) :

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = Sample proportion.

n= Sample size.

z* = Critical value.

For n= 2006 , $\hat{p}= 0.16$ and critical value for 95% confidence interval : z* = 1.96

Then , the required confidence interval will be :

$0.16\pm (1.96)\sqrt{\dfrac{ 0.16(1- 0.16)}{2006}}$

$0.16\pm (1.96)\sqrt{ 0.000066999002991}$

$0.16\pm (1.96)(0.00818529186963)$

$0.16\pm 0.0160431720645$

$(0.16-0.0160431720645,\ 0.16+0.0160431720645)$

$(0.143956827935,\ 0.176043172064)\approx(0.144,\ 0.176)$

i.e. A 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week. = $(0.144,\ 0.176)$

c) $(0.144,\ 0.176)=(0.144\times100\%,\ 0.176\times100\%)$

$=(14.4\%,\ 17.6\%)$ 176\times100\%)[/tex]

d) The estimate might be biased because the survey is taken online that means offline New Zealanders are out of consideration.

6 0

3 years ago

What is the height of the triangle?

MaRussiya [10]

Answer:

Step-by-step explanation:

Height of the triangle = 3 units

Height is always the perpendicular length.

4 0

3 years ago

Y=4x-2y and y=x+3 estimate the solutions to the systems of equations

polet [3.4K]

Answer:

3y=4x

y=4x/3

4x/3=x+3

x/3=3

X=9

y=12

(9,12) this is the answer

6 0

3 years ago