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Vesnalui [34]
3 years ago
9

I have to factor this expression (ax^2+bx+c) and I’m having some trouble. Can someone help me with this?

Mathematics
2 answers:
drek231 [11]3 years ago
6 0

3p^2 - 7p -40

Factor -7 out of -7p and rewrite -7 as -15 +8:

3p^2 +(-15 +8)p -40

Apply distributive property:

3p^2 -15p +8p -40

Group the first two terms and the last two terms:

(3p^2 -15p) + (8p-40)

Factor out the GCF from each group:

3p(p-5) + 8(p-5)

Factor the polynomial by factoring out the GCF (p-5)

(p-5)(3p+8)

Alex17521 [72]3 years ago
5 0
Ok so 3x-40=-120 and the middle number is -7 so the two numbers will have to multiply to -120 and add to - so those numbers would be 15 and-8 so then we will factor by parts so 3p^2+15p-8p-40 then section into brackets (3p^2+15p)(-8p-40) out of the first bracket you can factor out 3p and on the second bracket you can factor out -8 so you are left with 3p(p+5)-8(p+5) the combine 3p and -8 so (3p-8)(p+5)
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Step-by-step explanation:

Hope this helps and have a great day

4 0
3 years ago
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If each quadrilateral below is a parallelogram,find the missing measures.
zhenek [66]

Answer:

Part 1) MN=31\ units

Part 2) KN=45\ units

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

KL=31\ units

therefore

MN=31\ units

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

LM=45\ units

therefore

KN=45\ units

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

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m∠M=61°

7 0
3 years ago
A picnic basket was marked up 95% from an original cost of $9.57. Last Friday, Rosanne bought the picnic basket and paid an addi
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Answer:

$20.15

Step-by-step explanation:

Given data

Original cost =  $9.57

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Let us find the new cost of the basket

=95/100*9.57

=0.95*9.57

=$9.0915

Hence the cost of the basket is

= 9.57+9.0915

=18.66

Also, the sales tax is 8%

=8/100*18.66

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=1.4928

Therefore, the total amount to be paid is

=18.66+1.4928

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8 0
3 years ago
Solve for j.<br>-13j - 20 = -8j + 20​
aleksley [76]

Answer:

j = -8

Step-by-step explanation:

-13j - 20 = -8j + 20​

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-13j+13j - 20 = -8j+13j + 20

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subtract 20 from each side

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3 years ago
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