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3 years ago

Write the following equation in standard form. Then solve. 4q^2+2q=3q^2-4q+16

1 answer:

3 0

$4q^2+2q=3q^2-4q+16\qquad\text{subtract}\ 3q^2\ \text{from both sides}\\\\q^2+2q=-4q+16\qquad\text{add}\ 4q\ \text{to both sides}\\\\q^2+6q=16\qquad\text{subtract 16 from both sides}\\\\q^2+6q-16=0\to\boxed{\text{standard form}}\\\\q^2+8q-2q-16=0\\\\q(q+8)-2(q+8)=0\\\\(q+8)(q-2)=0\iff q+8=0\ \vee\ q-2=0\\\\q+8=0\qquad\text{subtract 8 from both sides}\\\\\boxed{q=-8}\\\\q-2=0\qquad\text{add 2 to both sides}\\\\\boxed{q=2}\\\\Answer:\ \boxed{q=-8\ or\ q=2}$

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What percent is equivalent to

Soloha48 [4]

Answer:

20%

Step-by-step explanation:

To change a fraction to a percentage , multiply by 100%

$\frac{8}{40}$ × 100%

= 0.2 × 100%

= 20%

8 0

2 years ago

1200+0.075x>=3300 what is the solution to the inequality

miskamm [114]

Solving inequalities is just like solving any other Algebraic problem...look to P.E.M.D.A.S. (Parenthesis, Exponents, Division, Addition, Subtraction). So lets take a look at this problem now.

1200 + 0.075x $\geq$ 3300

Subtract 1200 from both sides...
0.075x $\geq$ 2100

Now divide by 0.075...
x $\geq$ 28000

NOTE: If you divide or multiple by a negative number while solving inequalities, you must flip the sign. Ex: You answer would be x $\leq$ 28000 if you would've multiplied or divided by a negative.

8 0

3 years ago

While packing for thier cross-country move, the chen family uses a crate that has the shape of a cube. The Chens want to pack a

Brrunno [24]

If the framed picture is shaped like a square and has a 12 square foot surface area, then the answer is yes, it will fit flush against the edge of the crate.

Given Part A:

the volume of the cube = 64 cubic feet

therefore, ∛64 = 4 feet

hence one edge measures 4 feet.

Now for Part B:

the area of the square is 12 square feet.

hence, √12 = 3.36 feet.

we can observe that 3.46<4

which indicates that the area covered by the painting is less than that of the one side of the crate, which makes it easy for the painting to fit in the crate.

Hence the painting will fit a side of crate.

Learn more about Area and Perimeter here:

brainly.com/question/24571594

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Your question was incomplete. Please find the missing content here.

While packing for their cross-country move, the Chen family uses a that has the shape of a cube. PART A PART B If the crate has the volume V = 64 cubic feet, The Chens want to pack a large, framed painting. If an area of 12 square feet , will the painting fit flat what is the length of one edge? the framed painting has the shape of a square with against a side of the crate? Explain.

3 0

2 years ago

70 POINTS PLUS BRAINLIEST

dem82 [27]

Answer:

24.7 feet

Step-by-step explanation:

This is a Pythagorean theorem question

The ladder is the hypotenuse or c

the distance from the wall is a leg or a

and the wall is the other leg or b

a² + b² = c²

a² + 17² = 30²

a² + 289 = 900

-289 -289

b² = 611

√ √

b = √611

b = 24.7 feet

5 0

3 years ago

Read 2 more answers

How would I figure out what L= is if V=168 yd W= 7 yd H= 3 yd?

Mariulka [41]

We can assume that the shape is a rectangular prism by the given dimensions

Volume of a rectangular prism
Volume = Area of Base × Height of prism
= Length × Width × Height of prism
Substitute!
168 = L × 7 × 3
168 = L × 21
Divide 21 on either sides to isolate L

$\frac{168}{21}$ = $\frac{L*21}{21}$
21 and 21 cancels out

8 = L
L = 8 yd

6 0

3 years ago