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aliina [53]
2 years ago
6

Solve using the quadratic equation -4x² + 7x + 5 = 0​

Mathematics
1 answer:
Luda [366]2 years ago
4 0

Answer:

x=-0.544727

x=2.294727

Step-by-step explanation:

Given quadratic equation to solve:

  • -4x²+7x+5=0

To solve, use the quadratic formula

x= -b ±  b² - 4ac / 2a

Substitute your values for a, b, & c and solve

x= -7 ± 7² - 4·(-4)·5 / 2·(-4)

x= -7 ± 49 - -80/-8

x= -7 ± 129/-8

Then, reduce the problem

x= -7/-8 ± 129/-8

x=-0.544727

x=2.294727

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Mrs. Galicia has a cupcake company. The amount of money earned is represented by
sashaice [31]

Using the profit function, it is found that:

a) She earns $36 after 25 years.

b) The function was shifted right 4 units and up 1 units.

<h3>What is the profit function?</h3>

The profit, in x years after 2015, is given by:

p(x) = 12\sqrt[3]{x + 2}

Item a:

She earns $36 after x years, considering x for which p(x) = 36, hence:

p(x) = 12\sqrt[3]{x + 2}

36 = 12\sqrt[3]{x + 2}

\sqrt[3]{x + 2} = 3

(\sqrt[3]{x + 2})^3 = 3^3

x + 2 = 27

x = 25

She earns $36 after 25 years.

Item b:

The new function is:

h(x) = 12\sqrt[3]{x - 2} + 1

At the domain, we have that x + 2 \rightarrow x - 2, that is, x \rightarrow x - 4, hence it was shifted right 4 units.

At the range, we have that h(x) = h(x - 4) + 1, hence it was shifted up 1 unit.

You can learn more about functions at brainly.com/question/24380382

6 0
2 years ago
Solve each system by substitution
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3 years ago
Multiply both sides of the equation by 6.<br> {(4a + 1) = 2a<br> ? (4a + 1) = ?<br> a
solniwko [45]

Answer:

24a+6=12a

Step-by-step explanation:

6(4a+1)

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3 years ago
The scatter plot shows the number of customers in a restaurant for hours of the dinner services on two different Saturday nights
charle [14.2K]

A. The value y-intercept represent in the context of the problem is 50.

B. The slope of the line is -10.

C. The equation to represent the line is y= -10x+50.

D. The number of customers in the restaurant at 8:30pm is 35.

<u>Step-by-step explanation:</u>

The equation of the line is given by y=mx+c.

y is the number of customers and x is the hours.

7.00 p.m. is considered as 0.

To find the slope m =\frac{rise}{run}.

rise = y_{2}-y_{1}.

run = x_{2}-x_{1}.

From the graph, choose two points. Let us take (0,50) and (4,10).

m=\frac{-40}{4}.

m=-10.

∴The equation can be written as y= -10x+c.

To find the y-intercept value c, substitute any point.

Let us substitute(0,50) for instance,

50=0+c.

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The equation for the given graph is y= -10x+50.

To find the customers at the restaurant at 8.30 pm.

we know that x=0 at 7.00 pm,

∴ x=1.5 can be considered as 8.30 pm.

Substitute x=1.5 in the line equation.

y= -10(1.5)+50.

y= -15-50.

y= 35.

5 0
3 years ago
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