use factoring to solve quadratic equation. Check by substitution or by a graphing utility.

4x^2=19x+30​

Answers

Answer 1
Start by moving all terms to left side of equation 4x^2 - 19x - 30 = 0
Multiply 4 x -30 = -120
Now find two factors of 120 that subtract to give 19... 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24 ✅
[if it had been +120 we would add the factors looking for 19 which in this case don’t exist]
To get -19 we will need 5 + -24
24 is a multiple of 4 so we can use 4 x -6 and 1 x 5
Giving a factored equation of (4x + 5)(x - 6) = 0 [you should check this by expanding to remove the brackets]

One of the brackets must = zero so the solutions are x = -5/4 or x = 6

Some people look at factors of 4 and -30 and then pair then up to find a sum of -19 but this can take longer to finish.

Related Questions

The square of a number, x, is 16 less than eight times the number. What is the number?

Answers

Answer:

4

Step-by-step explanation:

x² = 8x - 16

x² - 8x + 16 = 0

(x - 4)² = 0

x = 4

help me with this plzzzz

Answers

Answer:b c

Step-by-step explanation:

did it

The correct answers are option b and c

Plz help if correct ill give Brainlyest

Answers

Answer:

x=21

Step-by-step explanation:

x=(16.8 * 2.5) /2=21

18. A balloon artist wants to make 6 different
kinds of balloon animals. She needs
4 balloons to make each animal. If the
balloons come in packs of 8, how many
packs will she need to buy?

Answers

Answer:

She need 3 packs of balloons

1
Type the correct answer in the box.
5 units
2 units
2 units
3 units
2 units
The area of the figure is
square units
Reset
Next

Answers

You didn't add enough information to solve this problem. Comment on this when you do.

Answer:

Is there any more information to this so I can try and help

After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?

Answers

It would be 3/8 since you divide the 3 bottles to 8 players

The equal sides of an isosceles triangle are 2 cm shorter than the length of the third side. If the perimeter of the triangle is 35 cm, find the length of the third side.​

with the formula plsssss

Answers

Given Information :

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

To calculate :

• Length of the third side.

Calculation :

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

Perimeter of = Sum of all sides

Perimeter = 35 cm.

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.

Liz has two pieces of string; one 18cm long, the other 24cm long. She wants to cut them
up to make pieces of string that are all the same length with no string left over. What is the
greatest length she can make the pieces of string?

Answers

Answer:

6cm

Step-by-step explanation:

length of the longest string=24

length of the shortest string=18.

for both string to have the same length,

24-x=18

x=24-18

=6cm

Gross income: $408.68
Deductions: $98.98


Net income: $_

Answers

Answer: $507.66

Step-by-step explanation:

408.68 + 98.98 = 507.66

Alex's pig weighs under 220 pounds.
Let p = the weight of the pig

Answers

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

phil worked 5 days more than jill. together they worked 25 days. how many days did each work?

Answers

phil worked 15
jill worked 10
Phil would have worked 15 days and Jill would have worked 10. This shows us that Phil worked 5 days more than Jill, as shown in the prompt, and fulfills the 25 days as Phils 15 days added to Jills 10 days would be 25 days total.

if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour

Answers

Answer:

37 km

Step-by-step explanation:

Answer:

37kph

Step-by-step explanation:

518/14=37

Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if you do plz help

Answers

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

Type your answer into the box.
240 people are going to a charity event.
3/5 of the guests have ordered chicken for their meals.
Of the remaining guests, 12.5% have ordered gluten-free meals
How many people haven't ordered their meals yet?

Answers

Answer:

84 people

Step-by-step explanation:

j - 5 = q

What is J and Q?

Answers

Answer:

There might be more to this problem that not included?

Based on the question written, J and Q would be anything that is mathematically supported.

I could a virtually endless combination, that's why I think we may be missing part of the question.

Here are some solutions:

J=11, Q = 6   11-5=6

J=12, Q= 7   12-5=7

J= 7, Q = 2   7-5=2

J = 162, Q = 157  162-5=157

Jon is taking a 625 mile trip, on the first day he drove 183 miles. How many more miles does he need to drive???

Answers

Answer:

442

Step-by-step explanation:

624-183= 442 he needs to drive 442 miles more

A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 2 inches. How much wax will the company need to make 270 candles?
Use 3.14 for pie and do not round your answer.

Answers

Answer:

[tex] 15,260.4 \: {in}^{3} [/tex]

Step-by-step explanation:

Radius of candle = 3 inches

Height of candle = 2 inches

Wax needed to make one candle = Volume of one cylindrical candle

[tex] =\pi r^2 h[/tex]

[tex] =3.14(3)^2 (2)[/tex]

[tex] =56.52\: in^3 [/tex]

Volume of wax needed to make 270 candles

[tex] = 270 \times wax\: needed \: to\:make \: one \: candle \\ \\ = 270 \times 56.52 \\ \\ = 15,260.4 \: {in}^{3} [/tex]

A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08

Answers

Answer:

48(c)

Step-by-step explanation:

4.8=48 as move 10 will change 4.8 as 48

Find the probability of each event.
1) An archer has a 25% chance of hitting the
bullseye on a target. What is the
probability that the archer will hit the
bullseye exactly three out of five times?

Answers

Answer: Don’t listen to the other comment it’s a scam. It’s 15 percent. Or 0.15

Step-by-step explanation:

HELPPPPP! Tamlin collects action figures and has 2 more female action figures than male action figures. He chooses two action figures randomly. Write and simplify an expression that represents the probability that Tamlin will pick two female action figures without replacing the first action figure. Let x be the number of male action figures.

Answers

Answer:

x+2/2(2x+1)

Step-by-step explanation:

Tamlin has x male action figures and x + 2 female action figures, so a total of x + x + 2, or 2x + 2 action figures. The probability of picking two female action figures without replacement is equal to the product of the probability of

-picking 1 female action figure from the total number and

-picking 1 female action figure after 1 has been removed.

The probability of picking 1 female action figure from the total is equal to the total number of female action figures divided by the total number of action figures.

The probability of picking 1 female action figure after 1 has been removed is equal to the total number of female action figures minus 1 divided by the total number of action figures minus 1.

Multiply these two expressions and simplify.

Answer:

The answer is x+2/2(2x+1)

What is the slope of 4x-2y=6

Answers

Answer:

slope= -2

Step-by-step explanation:

Slope is -2
See work up in photo below. Good luck.

Kianna's aquarium is "box-shaped" with dimensions of 5 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons? Consider that 1 ft3 of liquid corresponds to 7.5 gallons of the liquid.

Answers

Answer:

volume of aquarium =l×b×h=5×1×8=40ft³

volume of aquarium in gallons=

40ft³×7.5gallons/ft³=300galloons

Two variables are said to interact when ____. a. the two variables are differentially affected by a third variable b. both variables produce a change in the subjects' scores c. both variables are equally influenced by a third factor d. the effect of one independent variable depends on the levels of the second variable

Answers

Answer:

a.) the effect of one independent variable depends on the levels of the second variable

Step-by-step explanation:

In regression, an interaction effect comes to play whenever the effect that an independent variable has on a dependent variable changes, as regards to value(s) of other independent variables( one or more variables). The variables that give interaction effect as a result of interaction with each other is reffered to as "interacting variables" For instance, in a research whereby how "Male gender versus female gender" and their " dieting B and dieting D" influence their " weight loss" There would be interaction effect in a situation where by a " female gender" that operate on " diet B" shed more weight compare with " male gender" that operate on " diet B". It should be noted that two variables are said to interact when the effect of one independent variable depends on the levels of the second variable

40% of the students in a school are boys. lf there are 240 boys, how many student are therein the school?

Answers

40/100 = 96/240

Hope this helps

Work out the perimeter of this semicircle.
Take it to be 3.142 and write down all of the digits given by your calculator.
18 cm give your answer in cm​

Answers

Answer:

46.278cm

Step-by-step explanation:

(π+2)r

=πr+d

=9π+18=46.278cm

If ΔABC is similar to ΔDEFand EF = 6y, which represents the length of DF ?

Options
3y + 3
3y + 9
4y + 7
4y + 16

Answers

Answer:

Length of DF = 3y + 9

Step-by-step explanation:

Given:

ΔABC is similar to ΔDEF

Line EF = 6y

Find:

Length of DF

Computation:

Given that  ΔABC is similar to ΔDEF

So,

Line BC similar to Line EF

Line BA similar to Line ED

Line AC similar to Line DF

Common factor = EF/BC

Common factor = 6y/2y

Common factor = 3

So,

Line AC similar to Line DF

So,

DF = 3[AC]

Length of DF = 3[y+3]

Length of DF = 3y + 9

if twice a number is decreased by 13, the result is 9, what is the number?? (please make a solution)​

Answers

Answer:

22

Step-by-step explanation:

2x-13=9

2x-13-9=0

2x-22=0

2x=22

x=11

*10 POINTS *
find the value of x

x = ___??

Answers

The value is 22 because I took the test

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

You can create a proportion with the sides and solve for x:

[tex]\frac{SR}{QR} =\frac{TR}{UR}[/tex]

[tex]\frac{20}{24}=\frac{15}{-4x+10}[/tex]

[tex]\frac{5}{6}=\frac{15}{-4x+10}[/tex]

[tex]-20x+50=90[/tex]

[tex]-20x=40[/tex]

[tex]x=-2[/tex]

Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

Liam and Michael are going to play video games this afternoon.

Then, Liam going to play video games = 38

Michael going to play video games = 2

In 38 video games and 2 video games are exactly what Liam and Michael need.

So,

We can write,

Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]

As only one case is possible,

That is, [tex]2C_{2}[/tex] = 1

Probability = 1/(38!/(38-2)!2!)

= 1/(38!/36!2!)

=( 2! * 36! )/38!

= (2! * 36! )/38!*37!*36!

= 2!/38!37!

= 1/19!37!

= 1/703

= 0.001422

Rounding to nearest million ( 5 decimal )

Required probability = 0.001422

Therefore,

The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

To learn more about information visit Probability :

brainly.com/question/28730701

#SPJ1

Find the areas of the sectors formed by ABC

Answers

Answer:

33.51 in^2

Step-by-step explanation:

Find the area of the circle:

A = πr^2

A = π * 8^2

A = 64π = 201.06 in^2

Find the area of the 60 deg slice:

A * 60/360 = 33.51 in^2

Leave a thanks and mark brainliest if this helped

Leave a thanks and mark brainliest if this helped

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