use the quadratic formula to solve 5x^2+2x-3

Answers

Answer 1
assuming it equals 0
for
ax^2+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]

given
5x^2+2x-3=0
a=5
b=2
c=-3

x=[tex] \frac{-2+/- \sqrt{2^2-4(5)(-3)} }{2(5)} [/tex]
x=[tex] \frac{-2+/- \sqrt{4+60} }{10} [/tex]
x=[tex] \frac{-2+/- \sqrt{64} }{10} [/tex]
x=[tex] \frac{-2+/- 8 }{10} [/tex]
x=(-2+8)/10 or (-2-8)/10
x=6/10 or -10/10
x=3/5 or -1

Related Questions

The ratio of the length to the height of the American flag is 3 to 2. If the length of the American flag is 1.8 yards find the height.

Answers

I hope this helps you
L:H=3:2

L=1.8
1.8=3 units
divide by 3
0.6=1unit

2unit=height
0.6 times 2=height=1.2

height=1.2yards

Which of these numbers has the greatest absolute value? -43, -23, 0, 18

Answers

-43 has the absoulute value

A yoghurt costs 45p. How many yogurts can be bought for 5 pounds

Answers

Final answer:

To compare the amount of yogurt in a 2 pound container and five 6-ounce containers, convert pounds to ounces. Then compare the measurements. To calculate how many yogurts can be bought for 5 pounds, divide 5 pounds by the price of 1 yogurt.

Explanation:To compare the amount of yogurt in a 2 pound container and five 6-ounce containers, we need to convert one of the measurements to the same unit. In this case, we will convert pounds to ounces. There are 16 ounces in 1 pound, so 2 pounds is equal to 2 x 16 = 32 ounces.Now we can compare 32 ounces and 30 ounces. Since 32 ounces is greater than 30 ounces, Leslie will get more yogurt by choosing the 2 pound container.To calculate how many yogurts can be bought for 5 pounds, we can divide 5 pounds by the price of 1 yogurt, which is 45p. Since there are 100 pence in 1 pound, we need to convert 5 pounds to pence by multiplying it by 100. So, 5 pounds is equal to 5 x 100 = 500 pence.Now we can divide 500 pence by 45p to find out how many yogurts can be bought. 500 pence ÷ 45p = 11.11. This means that approximately 11 yogurts can be bought for 5 pounds.

Lily plants 80 seeds in her garden. Half of then are carrots. The rest are pumpkins and radishes. There are 6 more pumpkins seeds than radish seeds. How many radish seeds are there?

Answers

14 are radishes, 26 are Pumpkins :)
in total there are fourteen radish seeds to my calculation

A baby weighs 14 lbs at 5 months and 21 lbs at 10 months. Assuming the baby's weight gain is constant, determine

Answers

28 lbs at 15 months
35 lbs at 20 months
42 lbs at 25 months

It takes 38 pounds of seed to completely plant a 6-acre feild. How many pounds of seed are needed per acre ?

Answers

38/6= 6.33. You will need 6.33 pounds of seed per acre.
6.33333333333 pounds!

(If you want specifics)

Otherwise 6.33 would be the closest answer.

is 2/4 greater than 1/8

Answers

2/4 is greater than 1/8 because if you change 2/4 to a fraction with the same denominator it would be 4/8 and 1/8. So 2/4 is greater than 1/8

The ratio of boys to girls in Math class is 3:4. If there are 21 total students in class, how many more girls are in the class than boys?

Answers

There should be 3 more girls than boys in the class (9 boys, 12 girls)
3 to 4
3(3+4) is 21
There are 9 boys and 12 girls in the class
Answer=There are 3 more girls than boys

Here is a trick question

A red house is made of red bricks a blue house is made of blue bricks

What is the green house made of

Who ever gets it right gets a brainliest

Answers

The green house is likely made of glass panes to provide sunlight for the plants inside! ;)
green bricks thats it right

Evaluate -25 + 21 + (-4) + 25.

Answers

146 because -25 times (-4) is 100 and 100+25=125 and 125+21= 146
The answer is 17 sorry I don't know how to explain hope it helps

Which fraction is equivalent to negative 4 over 6?

6 over negative 4
negative 6 over 4
4 over negative 6
4 over 6

Answers

The answer is 4 over negative 6 is equal to negative four over six.

The fraction that is equivalent to -4/6 is 4/-6. so the correct option is C.

To find an equivalent fraction, we need to divide both the numerator and denominator by their greatest common factor.

In this case, the greatest common factor of 4 and 6 is 2.

Dividing -4 by 2 gives -2, and dividing 6 by 2 gives 3.

Since we have given the option as 4 over negative 6

Thus,  -4/6 = 4/-6

Therefore, the fraction equivalent to -4/6 is 4/-6.

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what is 35% of $100?

Answers

35 is 35% of $100
....................
35% refers to the fraction [tex]\frac{35}{100}[/tex]. Therefore, 35% of 100 is just 35.

$35

What is the equation of this line in slope-intercept form?

Answers

y=-4x + 1 is the answer
y=mx+b
m=slope
b=yintercept
we see it interceps the y axis at y=1
so last optin is out
slope=(y2-y1)/(x2-x1)
given
(-1,5) and (1,-3)
slope=(-3-5)/(1-(-1))=-8/2=-4

y=-4x+1
first one

Draw a line through each point using the given slope. What do you notice about the two lines?

Answers

i think the answer is that they are parallel

The two lines are parallel with equal slopes, will never intersect, and have different y-intercepts, showing a constant vertical distance.

To draw a line through each point using the given slope, we will use the slope-point form of a line equation, which is [tex]\( y - y_1 = m(x - x_1) \)[/tex], where [tex]\( m \)[/tex] is the slope and [tex]\( (x_1, y_1) \)[/tex] is the point through which the line passes.

The slope given is [tex]\( \frac{1}{2} \)[/tex]. We have two points, [tex]\( (-2, 1) \)[/tex] and [tex]\( (4, -2) \)[/tex]. Let's calculate the equation of the line for each point.

For the point [tex]\( (-2, 1) \)[/tex]:

[tex]\[ y - 1 = \frac{1}{2}(x - (-2)) \][/tex]

[tex]\[ y - 1 = \frac{1}{2}(x + 2) \][/tex]

[tex]\[ y = \frac{1}{2}x + 2 \cdot \frac{1}{2} + 1 \][/tex]

[tex]\[ y = \frac{1}{2}x + 2 \][/tex]

For the point [tex]\( (4, -2) \)[/tex]:

[tex]\[ y - (-2) = \frac{1}{2}(x - 4) \][/tex]

[tex]\[ y + 2 = \frac{1}{2}x - 4 \cdot \frac{1}{2} \][/tex]

[tex]\[ y = \frac{1}{2}x - 2 - 2 \][/tex]

[tex]\[ y = \frac{1}{2}x - 4 \][/tex]

Now we have the equations for both lines, plot them on the graph to show the relationship between them. Let's proceed with plotting these lines.

(GRAPH IS GIVEN BELOW)

The graph shows two lines:

1. The red line passes through the point [tex]\((-2, 1)\)[/tex] and has a slope of [tex]\(\frac{1}{2}\)[/tex]. Its equation is [tex]\(y = \frac{1}{2}x + 2\)[/tex].

2. The blue line passes through the point [tex]\((4, -2)\)[/tex] and also has a slope of [tex]\(\frac{1}{2}\)[/tex]. Its equation is [tex]\(y = \frac{1}{2}x - 4\)[/tex].

Observing the two lines on the graph, you can notice the following points:

1. Both lines have the same slope of [tex]\(\frac{1}{2}\)[/tex], which means they are parallel to each other.

2. Because they are parallel, the two lines will never intersect each other.

3. The lines have different y-intercepts, which is consistent with parallel lines that are not coincident.

4. The difference in the y-intercepts 2 for the first line and [tex]\(-4\)[/tex] for the second line) corresponds to the vertical distance between the two lines.

write a Doble plus fact for the sum of 7

Answers

the answer would be 14 i think

A double plus fact for 7 is found by using the closest doubles fact to 7 and adjusting one addend slightly, such as 3 + 4 = 7.

A double plus fact for the sum of 7 involves using the concept of doubles in addition. A doubles fact is a simple arithmetic addition where a number is added to itself. For example, 3 + 3 = 6 is a doubles fact.

To create a double plus fact for the sum of 7, we need to consider adding a number to a slightly different number close to a double fact. Here’s a step-by-step approach:

1. Identify the closest doubles fact to 7. In this case, 3 + 3 = 6.

2. Adjust one addend by 1 to reach the sum of 7. So, 3 + 4 = 7.

Therefore, a double plus fact for the sum of 7 is 3 + 4 = 7

Ms. Winter makes homemade bath soaps and bottles of lotion. In her inventory, she has 48 bath soaps and 64 bottles of lotion. She wants to use all of her inventory to make as many gift baskets as she can using the same number of bath soaps and the same number of lotion bottles in each gift basket. QUESTION: HOW MANY GIFT BASKETS CAN SHE MAKE AT THE MOST? EACH BASKET WILL CONTAIN HOW MANY BOTTLES OF LOTION AND HOW MANY BOTTLES OF BATH SOAPS???? pls

Answers

each basket has 3 bath soaps and 4 bottle of lotion which makes 16 equal baskets
If she uses one of each per basket, she'd have 48 baskets and 16 lotions left over. 

order each set of integers from least to greatest -221, 63, 54, -89, -71, -10

Answers

-221 is the least; then -89, then -71, then -10,  then 54, then 63; which is the greatest.

Adding and Subtracting Fractions. Solve each problem.Write your answer as a mixed number if possible.


1. 4 2/7 - 2 1/5
2.5 7/8 + 11/4
3.5/8 - 7/3
4.16/5 + 2 1/2

Answers

use this picture and study it very closely then multiply the whole number by the denominator then add the numerator
Final answer:

The answers to the four mixed number problems  are 2 3/35, 16 7/8, -1 17/24, and 5 7/10, respectively.

Explanation:

These problems involve adding and subtracting fractions and writing the answer as a mixed number, if possible. Let's go through each one step-by-step.

1. 4 2/7 - 2 1/5: First, convert these mixed numbers into improper fractions (4 2/7 = 30/7 and 2 1/5 = 11/5). The common denominator is 35. Rewrite the fractions as 150/35 and 77/35, subtract to get 73/35 which simplifies to '2 3/35'.

2. 5 7/8 + 11/4: Convert these mixed numbers into improper fractions (5 7/8 = 47/8 and 11/4 = 44/4). The common denominator is 8. Rewrite the fractions as 47/8 and 88/8, add to get 135/8 which simplifies to '16 7/8'.

3. 5/8 - 7/3: The common denominator is 24. Rewrite the fractions as 15/24 and 56/24. Subtract to get -41/24 which simplifies to '-1 17/24'.

4. 16/5 + 2 1/2: Convert the mixed number into an improper fraction (2 1/2 = 5/2). The common denominator is 10. Rewrite the fractions as 32/10 and 25/10. Add to get 57/10 which simplifies to '5 7/10'.

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Nick's iPod has 360 songs 15% are top-forty hits 40% are house music and the rest are Justin Bieber songs how many songs are top-forty hits, how many songs are house music, and how many songs are by Justin Bieber

Answers

360 ÷ 10 = 36 = 10%
36 ÷ 2 = 18 = 5%
36 + 18 = 54 = 15% = Top-Forty Hits
-
36 × 4 = 144 = 40% = House Music
-
144 + 54 = 198
360 - 198 = 162 = Justin Bieber
-
I hope this helps!

Answer:

JUSTIN BIEBER

Step-by-step explanation:

360 ÷ 10 = 36 = 10%

36 ÷ 2 = 18 = 5%

36 + 18 = 54 = 15% = Top-Forty Hits

-

36 × 4 = 144 = 40% = House Music

-

144 + 54 = 198

360 - 198 = 162 = Justin Bieber

But just saying I ❤️  Justin Bieber

Eric purchase 4 feet of the wire. he cuts it into 3 pieces. if the first piece is 1 foot 7 inches long and the second piece is 1 foot 6 inches long,how many inches is the third piece

Answers

the answer is 11 inches
There is 12 inches in one foot.
12 x 4 = 48 inches
1ft7" = 19 inches
1ft6" = 18 inches

19+18 = 37

48-37 = 11

The last piece is 11 inches long

what is the value of st÷(6r) if r=5, s=32, and t=45

Answers

s = 32 and t = 45
 
You replace the letters into numbers...

Since (st) is the same thing as (s × t), it would be 32 × 45, which equals to 1,440.

Then replace the r with 5, so now it's (6 × 5), instead of (6r).

st ÷ (6r) → 1,440 ÷ 30 = 48

Value of st ÷ (6r) = 48

8000 divided by 17000

Answers

0.471 is the answer.
0.470 hope this helped

What is the quotient of 3 and 3/5 divided by 2/5?

Answers

The quotient of 3 and 3/5 divided by 2/5 is 0.134
the answer is 3 1/5 because you don't divide the 3 you only divide the fractions which is 3/5 divided by 2/5 which = 1/5 so you add the 3 to it and you get 3 1/5 

hope this helped

Estimate the product of 54x68

Answers

54 is multiplied by 68 and your answer will be 3672
it would be 50 × 70 =350

draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3.

Answers

2/3 is not equivalent to 1/3
2/6 is equivalent to 1/3

what decimal is equal to three tenths a 0.6 b 0.03 c 0.2 d 0.3 or a 0.10

Answers

The answer is D. 0.3 = three tenths. 


Fraction Form: [tex] \frac{3}{10} [/tex]

Decimal Form: [tex]0.3[/tex]

The answer is D.

Each of farmer Suzuki's 61,459 lambs is either black or white. There are 44 white ones. How many of Farmer Suzuki's lambs are black?

do we + - x or divide

Answers

ALL THE WAY, TURN'T UP!

what is 3.27 as a mixed number in simplest form.

Answers

.27 is equal to 27/100, so 3.27 as a mixed number is equal to 3 27/100

To convert 3.27 to a mixed number, separate the whole number (3) from the decimal (0.27), convert the decimal to the fraction 27/100, and combine them to get 3 27/100. The fraction is already in its simplest form.

Converting 3.27 to a Mixed Number in Simplest Form

→ To convert the decimal 3.27 to a mixed number, follow these steps:

Separate the whole number and the decimal part: The whole number is 3, and the decimal part is 0.27.

→ Convert the decimal part to a fraction: 0.27 can be written as 27/100 because there are two decimal places, which means the denominator is 100.

→ Simplify the fraction: To simplify 27/100, find the greatest common divisor (GCD) of 27 and 100, which is 1, meaning the fraction is already in its simplest form.

→ Combine the whole number and the fraction: The final mixed number is 327/100.

Therefore, 3.27 as a mixed number in simplest form is 327/100.

The millers budget 1/2 of their income for fixed expenses and 1/8 of their income for savings.what fraction of their income is left?

Answers

To figure this out you must find a common denominator which is 8. one denominator is already 8 so you just have to multiply the other one to get 8. To do that just multiply the denominator so it will be 1/8, but when you multiply the denominator of a fraction to get a common denominator you have to multiply the numerator by the same number so the fraction will now be 4/8. Now you just have to add the two. 1/8 + 2/8 = 3/8 
Final answer:

The Miller's have 3/8 of their income left after setting aside amounts for fixed expenses and savings.

Explanation:

The millers budget 1/2 of their income for fixed expenses and 1/8 of their income for savings. Together, these fractions add up to 1/2 + 1/8 = 5/8 of their income. Calculating what's left of their income involves subtracting the total fraction used (5/8) from the whole (which in terms of fractions, is represented by 1). Hence:

1 - 5/8 = 3/8.

So, the Miller's have 3/8 of their income left after considering fixed expenses and savings.

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Mr.Turner bought x boxes of pencils. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. Which expression represents the total number of pencils he took to school?

Answers

the answer is 96 box of pencils
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