1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Finger [1]
3 years ago
8

1. Use the quadratic formula to solve the equation. -2x^2+3x+5=0

Mathematics
2 answers:
hram777 [196]3 years ago
8 0
The answer is x= 5/2 or -1
artcher [175]3 years ago
4 0
The formula for the solution is:
x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

In your case: a=-2, b=3, c=5

Replace these in the formula and you'll get:
x_1=\frac{-b + \sqrt{b^2 - 4ac}}{2a}=\frac{-3 + \sqrt{3^2 - 4 \cdot (-2) \cdot 5}}{2 \cdot (-2)}=-1
x_2=\frac{-b - \sqrt{b^2 - 4ac}}{2a}=\frac{-3 - \sqrt{3^2 - 4 \cdot (-2) \cdot 5}}{2 \cdot (-2)}= \frac{5}{2}

So you have two roots:
x1 = -1
x2 = 5/2
You might be interested in
You are heating liquid in a chemistry lab. Four minutes ago, the temperature of the liquid was -4 degrees Celsius. Since then, i
Marina CMI [18]
The rate of temperature rise is 2 degrees/minute.

The relation between temperature and time is of the form
y = 2x + b
where
x = time, minutes,
y = temperature, Celsius

When x = -4 min, y = - 4°C because the temperature was - 4°C 4 minutes ago. Currently, x = 0.
Therefore
-4 = 2(-4) + b
-4 = - 8 + b
4 = b

Part A
The relation is y = 2x + 4

Part B
When x = 15 (15 minutes from now), the temperature will be
y = 2(15) + 4 = 34°C

Answer: 34°C
6 0
4 years ago
The managers of a fast food chain want their products to be as similar as possible across locations. They suspect that the burge
Airida [17]

Answer:

H0 : μd = 0

H1 : μd > 0

Step-by-step explanation:

The scenario described above can be compared statistically using a paired test mean as the mean if the two groups are dependent, the two restaurants, Albuquerque and Santa Fe are both restaurant locations of a single restaurant company. Hence, to test the mean difference, we use the paired test statistic. Defined thus `

Null hypothesis ; H0 : μd = 0 and the Alternative hypothesis ; H1 : μd > 0

8 0
3 years ago
Please help me out<br> Will name brainliest
noname [10]

Answer:

y interstellar 7 m=-2 equation -2x+7

4 0
4 years ago
Suppose two parallel lines are cut by a transversal.which angle must be supplementary
Alborosie

Adjacent angles are supplementary

4 0
3 years ago
5.Find the roots of the parabola given by the following equation.
snow_tiger [21]

Answer:

Part 5) The roots are x=-3 and x=1.5

Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)

Step-by-step explanation:

Part 5) Find the roots of the parabola given by the following equation

2x^{2} +5x-9=2x

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2}+5x-2x-9=0

2x^{2}+3x-9=0

so

a=2\\b=3\\c=-9

substitute in the formula

x=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-9)}} {2(2)}

x=\frac{-3(+/-)\sqrt{81}} {4}

x=\frac{-3(+/-)9} {4}

x=\frac{-3(+)9} {4}=1.5

x=\frac{-3(-)9} {4}=-3

therefore

The roots are x=-3 and x=1.5

Part 6) Solve the inequality and graph the solution on a number line.

-3(5y-4)\geq 17

Solve for y

-15y+12\geq 17

Subtract 12 both sides

-15y\geq 17-12

-15y\geq 5

Multiply by -1 both sides

15y\leq -5

Divide by 15 both sides

y\leq -1/3

The solution is the interval -----> (-∞, -1/3]

All  real numbers less than or equal to negative one third

The solution on a number line is the shading area below of the line y=-1/3 (close circle)

The graph in the attached figure

7 0
3 years ago
Other questions:
  • How do I find the area
    7·2 answers
  • A cube has volume 1200 cubic inches. Write the edge length of the cube as a power.
    8·1 answer
  • How do I round it if technically it’s already to the nearest hundredth
    5·1 answer
  • If you could help me with this it would be greatly appreciated!
    8·2 answers
  • A bicycle store costs ​$3150 per month to operate. The store pays an average of ​$65 per bike. The average selling price of each
    14·1 answer
  • Fill in the blanks: In similar figures, the shapes are __________, angles are ___________, and sides are ____________.
    9·2 answers
  • Can some pls help me with this!
    10·1 answer
  • F I double the amount of water in the cup, I'll also double the pH of the water in the cup.
    8·1 answer
  • If car cover 400km/in 8hr what is the distance cover in 15 hr​
    10·1 answer
  • Please help me answer this question
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!