What is a good word problem for 5(x+3)=170

Write four different equations that have –3 as the solution. (2 points each)

marissa [1.9K]

Answer:

equation 1: x-5=-8 <=> x=-3

equation 2: x-3=-6 <=> x=-3

equation 3: x.3=-9 <=> x=-3

equation 4: -9 : x=3 <=> x=-3

=> Four equations that have –3 as the solution: x=-3

8 0

3 years ago

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Write an equation of the line in slope-intercept form that passes through the given point with the given slope. (1,9) slope 4

pychu [463]

Answer:

y=1x+5y

The yyy-intercept of the line is (0,\greenE{3})(0,3)left parenthesis, 0, comma, start color #0d923f, 3, end color #0d923f, right parenthesis, so we know that \greenE{b}=\greenE{3}b=3start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 3, end color #0d923f.

Finding \maroonC mmstart color #ed5fa6, m, end color #ed5fa6

Recall that the slope of a line is the ratio of the change in yyy over the change in xxx between any two points on the line:

\text{Slope}=\dfrac{\text{Change in }y}{\text{Change in }x}Slope=

Change in x

Change in y

start text, S, l, o, p, e, end text, equals, start fraction, start text, C, h, a, n, g, e, space, i, n, space, end text, y, divided by, start text, C, h, a, n, g, e, space, i, n, space, end text, x, end fraction

Therefore, this is the slope between the points (0,3)(0,3)left parenthesis, 0, comma, 3, right parenthesis and (2,7)(2,7)left parenthesis, 2, comma, 7, right parenthesis:

\begin{aligned}\maroonC{m}&=\dfrac{\text{Change in }y}{\text{Change in }x} \\\\ &=\dfrac{7-3}{2-0} \\\\ &=\dfrac{4}{2} \\\\ &=\maroonC{2}\end{aligned}

m

=

Change in x

Change in y

=

2−0

7−3

=

2

4

=2

In conclusion, the equation of the line is y=\maroonC{2}x\greenE{+3}y=2x+3y, equals, start color #ed5fa6, 2, end color #ed5fa6, x, start color #0d923f, plus, 3, end color #0d923f.

Step-by-step explanation:(0,5)left parenthesis, 0, comma, start color #0d923f, 5, end color #0d923f, right parenthesis is the yyy-intercept of the line, so \greenE{b}=\greenE{5}b=5start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 5, end color #0d923f.

Now we find the slope by using the two points:

\begin{aligned} \maroonC{m}&=\dfrac{(9)-(5)}{(4)-(0)} \\\\ &=\dfrac{4}{4} \\\\ &=\maroonC{1} \end{aligned}

m

=

(4)−(0)

(9)−(5)

=

4

=1

Therefore, the equation of the line is y=\maroonC{1}x\greenE{+5}y=1x+5y, equals, start color #ed5fa6, 1, end color #ed5fa6, x, start color #0d923f, plus, 5, end color #0d923f.

3 0

3 years ago

Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n

In-s [12.5K]

Finite approximation method of estimating the area under the curve of the

given function makes use of rectangular approximation of the area.

The correct responses are;

i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.

ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.

iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.

Reasons:

The given function is f(x) = 5·x²

The given domain is x₀ to x₁₄

i) Estimate using lower sum with two rectangles of equal width;

$Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;$

f(0) = 0

f(7) = 5 × 7² = 245

A = 0 × 7 + 245 × 7 = 1,715

The estimated area using a lower sum with two rectangles of equal width

is 1,715 square units.

ii) Estimate using lower sum with four rectangles of equal width;

$Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;$

f(0) = 0

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25

The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) Estimate using an upper sum with two rectangles of equal width;

$Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;$

f(7) = 5 × 7² = 245

f(14) = 5 × 14² = 980

A = 245 × 7 + 980 × 7 = 8575

The estimated area using an upper sum with two rectangles of equal width

is 8,575 square units.

iv) Estimate using an upper sum with four rectangles of equal width;

$Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;$

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

f(14) = 5 × 14² = 980

A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25

The estimated area using a upper sum with four rectangles of equal width

is 6,431.25 square units.

Learn more here:

brainly.com/question/2264277

4 0

3 years ago

2/5 + 1/10 simpllest form help oddeyseware please help if you took the test

drek231 [11]

Answer:

hight so im not sure about the test you are talking about but its 1/2 or 0.5 both are right..

Step-by-step explanation:

Its basic math..

4 0

3 years ago

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Suppose the value R(d) of d dollars in euros is given by R(d)-d The cost P(n) in dollars to purchase and ship n purses is given

S_A_V [24]

Corrected Question

Suppose the value R(d) of d dollars in euros is given by $R(d)=\dfrac67 d$ . The cost in dollars to purchase and ship n purses is given by P(n)=66n+23. Write a formula for the cost, Q(n) in euros to purchase and ship n purses.