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denis-greek [22]
3 years ago
6

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

Mathematics
1 answer:
forsale [732]3 years ago
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\geq3300


Subtract 1200 from both sides...
0.075x\geq2100

Now divide by 0.075...
x\geq28000


NOTE: If you divide or multiple by a negative number while solving inequalities, you must flip the sign. Ex: You answer would be x\leq28000 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

#SPJ9

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
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